### Here you will find hyperlinks referenced in the Oak Meadow printed curriculum. Find your grade level or course below to find all the links from the coursebooks.

We strive to make sure that all of our links are intact. If you find anything that seems to be missing or out of place, please let us know.

### Grade 1

**Language Arts**

Lesson 31: *phonics & reading activities*

Phonics lesson plans at teAchnology

Word games at PBS Kids

Lesson 33: *word study games*

FunBrain.com

Interactive Wordplays

**Social Studies**

Lesson 14: *local map sites*

MapQuest

Google Maps

The Perry-Castañeda Library Map Collection at the University of Texas, Austin

Lesson 15: *state maps*

Blank outline state maps at 50states.com

State maps and data at infoplease.com

Printable maps and state quizzes at EnchantedLearning.com

Lesson 16: *United States maps*

Printable maps in PDF format from Houghton-Mifflin’s Education Place

Various U.S. maps at WorldAtlas.com

Reference and outline maps from NationalMap.gov

Building Marvels: Landmarks of the United States

Lesson 36: *appreciating diversity*

“Helping Children Understand Other Cultures” at Ohio State University

“Appreciating Diversity” at A Place of Our Own

**Science**

Lesson 5: *animal tracking sites*

Mammal Tracks at beartracker.com

Princeton University’s Outdoor Action Guide to Animal Tracking

Lesson 20: *diurnal and nocturnal animals*

Night vision page at Nova Online

Lesson 30: *sounds in nature*

Animal sounds at naturesongs.com

Birdsong recordings at the Audubon Society

“Listening to Nature” at the California Library of Natural Sounds

Lesson 31: *birds’ nests*

Bird houses at 70birds.com

Bird Nests from Backyard Nature

Lesson 34: *bees & honey*

The British Beekeepers Association

Honey.com

### Grade 2

**Language Arts**

Lesson 8: *phonics & word study
*Favorite Phonics Games, Apps, and Websites from Common Sense Education

Word games at Word Central

**Social Studies**

Lesson 19: *Celtic & Irish culture*

The Celtic Webring

Irish Culture and Customs

Who Were the Iron Age Celts?

Lesson 20: *Ancient China*

Ancient China for Kids

History for Kids: Ancient China

Ancient China Maps

Lesson 21: *Ancient Mali*

Ancient Africa for Kids

Sundiata on African History

History for Kids: Ancient Africa

Lesson 24: *ancient currency*

The Earliest Currency in Ireland

Coins of Ancient Greece & Rome

Origins of Coins

Lesson 32: *electing leaders*

Kids Voting USA

Governments Around the World from Fun Social Studies

Ben’s Guide to U.S. Government

By the People from PBS Kids

**Science**

Lesson 15: *beehives & beeswax*

Just for Kids! at Honey.com

The Buzz on Bees

Animal Video: Learn About Bees

Ten Facts About Honeybees

Lesson 19: *the weaverbird*

Animal Facts: Weaver Bird

Weavers of the World

Lesson 20: *the swiftlet*

The Glossy Swiftlet at Mangoverde

Swiftlets and Bird’s Nest Soup

Lesson 28: *animal communication*

How Wolves Communicate

The Animal Communication Project

How Animals Use Smells

Lesson 30: *the desert biome*

Deserts at Blue Planet

The Desert Biome at the University of California, Berkeley

Biomes: Desert

Lesson 31: *animals & their habitats*

Animals at Blue Planet

Dolphin Research Center

A – Z Animals: Habitats

Animal Facts Sheets

Lesson 32: *reptiles*

Reptiles Magazine

Animals at the San Diego Zoo

Lesson 33: *frogs*

allaboutfrogs.org

Frogs at the San Francisco Exploratorium

Frog Facts

Fun Frog Facts for Kids

Lesson 34: *insects*

The Insects Home Page

Bug Bios

“Katerpillars & Mystery Bugs” from the University of Kentucky

Lesson 35: *birds*

All About Birds at Enchanted Learning

Fun Bird Facts for Kids

Birds: San Diego Zoo Kids

Lesson 36: *fish*

Fish Facts

Fish ‘n’ Kids

All About Fish

Some Interesting Facts About Fish

### Grade 3

**Language Arts**

Lesson 1: *learning styles*

LdPride.net

Learning Styles Online

Funderstanding

Lesson 2: *interactive language games*

ABCYA

Starfall

Primary Games

**Social Studies**

Lesson 4: *Phoenician writing*

Omniglot

Ancient Scripts

Phoenicia.org

Lesson 12: *maps of the ancient world*

Phoenicia’s Hall of Maps

Ancient World Maps

Ancient World Mapping Center

Historical Maps at the Perry-Castañeda Library Map Collection

Lesson 15: *Native American culture*

First Nations Histories

Native Americans and Lewis & Clark

Native American Tribes and Cultures

Lesson 26: *frontier life*

Fort Griffin

Lesson 28: *ancient Israel*

Moses at Kidipede

Lesson 31: *Native tales & legends*

Cherokee Stories

Native American Lore

Lesson 32: *government*

Ben’s Guide to U.S. Government

Lesson 33: *basis of government*

Ben’s Guide to U.S. Government

“Join the Signers” at the National Archives

U.S. Electoral College

Lesson 34: *The Declaration of Independence*

Historic Philadelphia

The Declaration of Independence at USHistory.org

Congress for Kids

Lesson 35: *The Constitution*

Ben’s Guide to U.S. Government

The Constitution for Kids

**Science**

Lesson 21: *the water cycle*

Missouri Botanical Garden

Kidzone

Absorption Experiments at Kids Science

Lesson 22: *photosynthesis*

Science Made Simple

ThinkQuest

Methuselah Tree

Lesson 23: *ecological conservation*

Kids Do Ecology

Lesson 24: *more about the water cycle*

Environmental Kids Club

Lesson 25: *biomes*

Enchanted Learning

Blue Planet Biomes

Geography4Kids

Lesson 26: *more about biomes*

Biomes of the World

The World’s Biomes

Earth Floor

Lesson 27: *volcanoes & earthquakes*

Volcano Explorer at Discovery Kids

Field Trip to Mars

Lesson 28: *natural resources*

Natural Resources Conservation Service

National Wildlife Federation

Enrivonmental Kids Club

Lesson 29: *caves*

The Virtual Cave

The National Speleological Society

Lesson 30: *rocks*

Rocks and Sediments at About.com

Rocks for Kids

Mineralogy 4 Kids

Lesson 32: *the ocean*

Kids’ Corner at the Monterey Bay Aquarium

Lesson 33: *the freshwater biome*

Freshwater Wetlands at the World Wildlife Fund

Aquatic Biomes at KidzWorld

Lesson 34: *vertebrates & invertebrates*

Invertebrates at KidPort

Vertebrates & Invertebrates at Fact Monster

Bronx Zoo Animal Research Guide

Lesson 35: *classifying plants*

Mosses at Backyard Nature

Lesson 36: *extinct & endangered animals & plants*

Endangered Species at the World Wildlife Fund

### Grade 7 - English

**English**

*A Single Shard*

Linda Sue Park website

Korean celadon pottery

*Catherine Called Birdy*

References for medieval times

websites related to *Catherine, Called Birdy*

*Esperanza Rising*

Pan Muñoz Ryan website

*Counting on Grace
*Elizabeth Winthrop website

Lewis Hine’s photographs of child labor in the U.S.

*Aleutian Sparrow*

Karen Hesse blog

Aleut tribe

*Out of the Dust*

Karen Hesse blog

Dorothea Lange Photos

Dust Bowl

*The Code Talkers*

Boarding schools

Code talkers

Joseph Bruchac website

*Brown Girl Dreaming
*Jacqueline Woodson website

### Grade 7 - Science

**Science**

General links

Types of Essays

Lesson 1: *Observation and Measurement*

Scientific Argument

Video: Mass, Volume, and Density

Lesson 2: *Scientific Method*

Video: Controlled Experiments

Video: Correlation and Causality

Lesson 5: *Perspective*

Earth’s hemispheres

Map projections video: Why All World Maps Are Wrong

Lesson 6: *Earth’s Movement*

Video: Why Do We Have Different Seasons?

Lesson 7: *Earth’s Moon*

Video: Phases of the Moon

Video: Moon Phases Demonstration

Video: Does the Moon Really Control the Tides?

Lesson 8: *Solar System*

Video: The Difference Between Flares and CMEs (coronal mass ejections)

What is a Solar Prominence?

Planet Facts

The Inner and Outer Planets in Our Solar System

Annual Meteor Showers

Video: How Big is the Solar System?

Short Film: To Scale: The Solar System

Video: Kepler’s First Law of Motion: Elliptical Orbits

Lesson 9: *Astronomy*

Star Types

Video: Types of Stars by Size, Color, and Life Cycle

Life Cycle of a Star

Video: What Is a Pulsar?

Video: Most Powerful Quasar Discovered

Constellation Guide

Constellations

Video: The Most Astounding Fact—Neil DeGrasse Tyson

Lesson 12: *Earth’s Structure*

Video: Earth’s Interior Isn’t Quite What We Thought It Was

Rocks, Minerals, and Elements

Minerals in Your House

Rocks: Igneous, Metamorphic, and Sedimentary

Video: Three Types of Rock and the Rock Cycle

Lesson 13: *Weathering and Fossilization*

Weathering

Video: What Is a Fossil?

Video: How Does Radiocarbon Dating Work?

Video: Bill Nye Explains Half Life

Geologic Age Dating Explained

Geologic Time Periods

Lesson 14: *Erosion*

Soil Layers

Four Layers of Soil

Video: Weathering and Erosion

Video: Why Do Rivers Curve?

Video: Why Do Rivers Have Deltas?

Video: How Glaciers Form and Erode to Create Landforms

Farming: Soil Erosion and Degradation

Video: Erosion: A Natural Phenomenon

Lesson 15: *Plate Tectonics*

Earthquake Facts

Video: Earthquake 101

Article and video: Earthquake-Proof Buildings

Earthquake Safety Tips

Video: Liquefaction Demonstrated

Vide: Tectonic Plate Boundaries

Video: Plate Tectonics Explained

Video: Plate Tectonics

Convergent Plate Boundaries

Lesson 16: *Mountains*

Video: What Is a Mountain?

Video: Why is Mt. Everest So Tall?

How are Mountains Made?

How Do We Tell If a Volcano Is Active, Dormant, or Extinct?

What Are the Different Types of Volcanoes?

Pictures of Igneous Rocks

Video: What Is a Volcano?

Types of Volcanic Eruptions

Lesson 19: *Atmosphere*

Layers in Earth’s Atmosphere-NASA

Layers of Earth’s Atmosphere-UCAR

Video: 5 Earth Atmosphere Layers

Video: Reveal Earth’s Atmosphere

Viewing Earth’s Limb

Video: Why Is There Air?

Video: The Carbon and Oxygen Cycles

Video: What Is Carbon Dioxide?

Video: Nitrogen Cycle

Lesson 20: *Climate*

Video: A History of Earth’s Climate Change

How Do Scientists Study Ancient Climates?

Ice Ages

Video: Climate Science: What You Need to Know

Video: What’s the Deal with Carbon?

Climate Change: How Do We Know?

Facts on Animal Farming and the Environment

Realistic Ways You Can Combat Climate Change Today

Lesson 21: *Water Cycle*

The Water Cycle

Video: The Water Cycle

Lesson 22: *Clouds*

Ten Basic Cloud Types

Video: Relative Humidity vs. Dew Point

Video: Good Question: What Is the Dew Point?

Lesson 23: *Winds and Atmospheric Pressure*

Video: Bill Nye the Science Guy on Wind

Video: What Is Wind?

Video: Coriolis Effect

Coriolis Effect

Video: Hot and Cold Water Science Experiment (imagine this happening to air—high pressure and low pressure systems—instead of water)

Video: Crush a Bottle with Air

Lesson 24: *Meteorology*

Tools Used in Meteorology

Video: Cold Fronts and Warm Fronts

What Is a Jet Stream?

Lesson 25: *Extreme Weather*

What Causes Lightning?

Lightning Safety

What Is a Water Spout?

Video: Hurricane Vs. Cyclone Vs. Typhoon

Blizzards

Lesson 28: *Earth’s Resources*

Non-Renewable Energy

Video: Renewable Energy 101

Video: The Story of Energy: Where Does Our Power Come From?

Video: Energy, Let’s Save It!

Population and Energy Consumption

Lesson 29: *Water Sources*

How Much Water Is There, On, In, and Above the Earth?

What Is a Wetland?

What Is Groundwater?

Video: Our Thirsty World

Video: Why Care About Water?

Lesson 30: *Earth’s Oceans*

The Census of Marine Life

Video: Biodiversity: Protecting Marine Life

Video: The Gulf Stream Explained

Lesson 31: *Human Population Growth*

U.S. and World Population Clock

World Population Interactive Map (use the slider at the bottom to see population increases over time)

Video: Human Population Through Time

Lesson 32: *Human Impact on the Environment*

Water Pollution

Marine Pollution

What Is Air Pollution?

Does Air Pollution Affect Our Furry Friends?

Video: What YOU Can Do About Climate Change

Video: The Story of Stuff

Interactive quiz: How Much Do You Know About Solving Global Warming?

Lesson 33: *The Living Earth*

Biodiversity

Video: Why Is Biodiversity So Important?

Article and video: Teen Activist Fights for the Earth

### Grade 7 - World History

### World History

*General Links*

World Map (Interactive)

Most Reliable and Credible Sources for Students

Tracking Your Travels: Landmarks Around the World

#### Unit I: Age of Empires

Lesson 1:* African Empires*

Geography and Landforms of Africa

Oldest Homo Sapiens fossil Claim Rewrites Our Species’ History

Oldest Known Human Fossil Outside Africa Discovered in Israel

7 Influential African Empires

Historical Context: Facts About the Slave Trade and Slavery

Berlin Conference of 1884-1885

Africa is Way Bigger Than You Think

Lesson 2:* The Dynasties of Asia*

Ancient China

The History of China—Over 3,000 Years of Civilization

Silk Road

Video: The Silk Road and Ancient Trade

Japanese History

Lesson 3:* The Early Empires of India*

Assyria

Video: The Rise and Fall of the Assyrian Empire

Persian Empire

Ancient India

Maps of the Middle East

Lesson 4:* Islamic World*

Mughal Dynasty

Video: The Mughal Empire and Historical Reputation

Ottoman Empire

Video: The Rise of the Ottoman Empire

Video: The Fall of the Ottoman Empire

#### Unit II: Renaissance and Enlightenment

Lesson 7:* Renaissance, Reformation, and the Age of Enlightenment*

Medieval Life: Feudalism and the Feudal System

Renaissance Art

Ultimate Renaissance Man: 5 Fascinating Facts About Leonardo da Vinci

Video: A Fun, Animated History of the Reformation and the Man Who Started It All

What Was the Enlightenment?

Lesson 8:* Arts and Culture in the Age of Enlightenment*

Music History: A Guide to Western Composers and their Music

Exploring the Extravagance and Drama or Baroque Art and Architecture

A Beginner’s Guide to Impressionism

A Brief History of Opera

Lesson 9:* The Age of Monarchs*

The World of the Hapsburgs

House of Tudor Family Tree

7 Fascinating Facts about King Louis XIV

Lesson 10:* The Age of Exploration*

A Brief History of the Age of Exploration

The Age of Exploration: Life on the Open Seas

Video: How Did Early Sailors Navigate the Oceans?

Video: The Rise and Fall of the Inca Empire

Video: Tenochtitlan

Video: Tenochtitlan (The Impossible City)

Native North Americans: What Was Early Contact Like Between Europeans and Natives? (primary source material)

Brazilian Indians

#### Unit III: Revolution and Independence

Lesson 12:* Revolutionary Spirit*

French and Indian War/Seven Years’ War

American Revolutionary War

Video: What Caused the French Revolution?

French Revolution

Declaration of the Rights of Man, 1789

Napoleon Bonaparte

Lesson 13:* The Rise and Fall of Colonialism*

Video: Latin American Independence Movements

Latin American Revolutions

Colonialism and the “Scramble for Africa”

Imperialism and the Conquest and Colonization of Africa by Europeans

Lesson 14:* Slavery Trade*

The Triangular Trade

The Slave Trade: A Historical Background

The Transatlantic Slave Trade

Slavery in America

Video: The Columbian Exchange

Lesson 15:* The Abolition Movement and the U.S. Civil War*

David Walker

Sojourner Truth: A Life and Legacy of Faith

Frederick Douglass

Harriet Tubman

Enabling Freedom: Underground Railroad

Reconstruction of the South

Lesson 16:* Radical Change in the Americas (1861–1924)*

Early History of Canada

Louisiana Purchase

What Was the Klondike Gold Rush?

Video: How Did the Westward Expansion Affect the Native Americans?

Indian Removal 1814–1858

Indian Treaties and the Removal Act of 1830

The Mexican Revolution

Mexico Timeline

#### Unit IV: Worldwide Change

Lesson 19:* The Industrial Revolution*

The Rise of the Machines: Pros and Cons of the Industrial Revolution

The Industrial Revolution

Video: The Industrial Revolution

Lesson 20:* Innovations in Transportation and Communication*

The Biography of Thomas Edison

Alexander Graham Bell

Video: Edison and Competition

The Transcontinental Railroad: It’s All About Steam

Video: Animation of How a Steam Locomotive’s Boiler Works

Building the First Continental Railroad

Inventing a Flying Machine

Lesson 21:* Nationalism and Imperialism*

The British Empire (map)

Five Motives for Imperialism

How Many People Died in WWI? A look at the Numbers

World War One: Causes

The Assassination of Archduke Franz Ferdinand

Women in World War I

Lesson 22:* Worldwide Economic Depression*

Video: The Revolution that Shaped Russia

Video: The Russian Revolution 1917

What Happened in the 1920s?

Prohibition

The Great Depression

Video: The Great Depression

Video: The Dust Bowl

Lesson 23:* Colonialism in Modern Times*

The East India Company and Its Role in Ruling India

Mahatma Gandhi

The Khoikhoi

Zulu

Boer War in South Africa

#### Unit V: Global Conflict and Resolution

Lesson 26:* Fascism, Communism, and Dictators*

Joseph Stalin

Benito Mussolini

Francisco Franco

Adolf Hitler

What Was the Holocaust?

The Holocaust

Lesson 27:* The Second World War*

World War II

World War II in the Pacific Theater

World War II: Asiatic-Pacific Theater Campaigns

Allies and Axis: Who’s Who in WWII?

Women in World War II

Women of World War II

Code Talking

Lesson 28:* Conflicts in Korea and Vietnam (1950–1975)*

Korean War Fast Facts

Video: Why Korea Split into North and South Korea

A Short Guide to the Vietnam War

Video: Vietnam War Protests

Vietnam War Protests

Kent State Shootings

Lesson 29:* Civil Rights Leaders (1954–1968)*

Civil Rights Movement

Brown v. Board: Timeline of School Integration in the U.S.

Video: 60 Years On: A Look Back at the Little Rock Nine

The Woolworth Sit-In that Launched a Movement

The Story of Cesar Chavez

Biography of Nelson Mandela

Racism Has a Long History We All Must Understand

Lesson 30:* The Cold War (1947–1991)*

Cold War History

Cold War Propaganda

Cuban Missile Crisis

What Was the Eastern Bloc?

Video: What Was the Iron Curtain?

Berlin Wall

John F. Kennedy Commencement Address, American University

#### Unit VI: Modern Developments

Lesson 33:* The Middle East in Modern Times*

Video: The Middle East’s Cold War Explained

History of the Middle East

Background: Middle East

Middle East Geography

Why Are Israel and the Palestinians Fighting over Gaza?

Arab Spring

Lesson 34:* Globalization*

Video: Globalization Explained

Video: What Are the World’s Biggest Superpowers?

Video: Globalization I: The Upside

Who are the Most Technologically-Advanced Countries in Africa?

Where Does Your T-shirt Come From?

Lesson 35:* Remarkable Advancements of the Modern Era*

Video: Information Age

Video: Thin Underwater Cables Hold the Internet

Video: How to Sequence the Human Genome

International Space Station

NASA: Current Missions

### Grade 8 - English

### English

*Baseball in April and Other Stories
*Discussion Guide

Author website: Gary Soto

Author biography from Poetry Foundation

*A Wrinkle in Time*

*Smithsonian Magazine* article: The Remarkable Influence of A Wrinkle in Time

Author website: Madeleine L’Engle

Author biography

*The Giver
*Author biography

NPR article: Lois Lowry Says The Giver Was Inspired by Her Father’s Memory Loss

*Moon Over Manifest
*Author website: Clare Vanderpool

Article by the author’s sister: Who In the World Is Clare Vanderpool?

A Pictorial Walk Through the 20th Century: Little Miners

*Echo
*video interview with Pamela Muñoz Ryan

playlist of the songs mentioned in the story

*Criss Cross
*Author website: Lynne Rae Perkins

Author biography

*Leave This Song Behind: Teen Poetry at Its Best
*Writer’s Digest article: 5 Ways How to Write a Poem

Poetry Foundation

### Grade 8 - Civics

### Civics

General Resources

PBS News Hour Extra

Contact Information for Government Offices (U.S.)

iCivics.org

Civics 101 Podcasts from NPR

A Beginner’s Guide to Graphing Data

Learning Line Graphs

Graphing Data by Hand

How to Make Great Charts for Infographics

How to Make an Infographic

Appropriate Language

Landmark Cases and Civic Debate

Kids.Laws.com

U.S.Courts.gov

Landmark Cases of the U.S. Supreme Court

Landmark Supreme Court Cases

Supreme Court Landmarks

Glossary of Legal Terms

10 Supreme Court Cases Every Teen Should Know

Lesson 1: *Values of Citizenship*

Daily Good: News That Inspires

YES! Magazine

Good News Network

Lesson 2: *Community Leaders*

United Nations

The Universal Declaration of Human Rights

Biographies of Champions of Freedom

Freecycle

Lesson 3: *Independence and Interdependence*

Career Planning

Budgeting

State Minimum Wages

How Are Federal Taxes Spend?

Job Corps

Americorps

Take Our Daughters and Sons to Work Day

Lesson 4: *Decision Making*

5 Golden Rules of Goal Setting

Set Your Goals and Make Them Happen

Decision Making

Lesson 7: *Immigration and Citizenship*

Illegal, Undocumented, Unauthorized: The Terms of Immigration Reporting

Illegal Immigrants Vs. Undocumented Immigrants

10 Steps to Naturalization: Understanding the Process of Becoming a U.S. Citizen

Lesson 8: *Making Connections*

Good Communication Skills for Teens

Anger Management: 10 Tips to Tame Your Temper

Lesson 9: *Disability Awareness*

Different Types of Disabilities

Mental Health Conditions

Types of Learning Disabilities

Americans with Disabilities Act

Don’t Laugh at Me lyrics and video

Appropriate Language

Lesson 10: *Public Health*

Healthy Living Tips for Teenagers

Take Charge of Your Health: A Guide for Teenagers

Young People Share Their Thoughts on Emotional Health and Wellbeing

Mental Health Videoscribe

10 Simple Fitness Tips that Work

Nutrition.gov

Lesson 13: *Government of the People, By the People, For the People*

What Are the Different Types of Governments?

Democracy: A Short Introduction

Representative Democracy

Lesson 14: *The Political Heritage of the United States of America*

Mayflower and Mayflower Compact

Mayflower Compact

The Declaration of Independence

Articles of Confederation

Lesson 15: *The U.S. Constitution and Bill of Rights*

America’s Founding Documents

The Constitution of the United States

The Bill of Rights

The Constitution of the United States, The Bill of Rights and All Amendments

Lesson 16: *Freedom in Many Forms*

Freedom of Religion: Crash Course Government and Politics

Lesson 19:* Voting Rights and Responsibilities*

Voting Rights Amendments

The Fight for the Right to Vote in the United States

Voting Rights for Native Americans

Seneca Falls Convention

Register to Vote

Lesson 20: *Political Parties*

Does Your Vote Count? Electoral College Explained

Why the Electoral College?

Population vs. Electoral Votes

Distribution of Electoral Votes

U.S. Electoral College: Frequently Asked Questions

How Many Representatives Per State

Lesson 21: *Check and Balances*

The Cabinet

Executive Departments

The Elastic Clause Explained in 3 Minutes

Legal System Basics

Bills and Resolutions

Lesson 22: *State and Local Governments*

Official Names of State Legislatures (click on Upper and Lower House for individual states to see more information)

Population Represented by State Legislators

Gerrymandering: How Drawing Jagged Lines Can Impact an Election

Lesson 25: *Freedom of Information*

American Library Association (ALA)

Banned Books that Shaped America

Censored and Banned Books: From John Steinbeck to Dr. Seuss

Banning Books in the 21st Century

History of the Internet

What Is the World Wide Web?

Don’t Go Changing: Net Neutrality!

What Is Net Neutrality and How Could It Affect You?

Difference Between Fact and Opinion

Lesson 26: *The Influence of Advertising*

The Secret Science of Advertising

The Story of Bottled Water

The Story of Solutions

Lesson 27

Propaganda

The Power of Propaganda

How to Tell Fake News from Real News

How to Spot Fake News

Society of Professional Journalist Code of Ethics

Lesson 28

Positive News

Daily Good: News that Inspires

KarmaTube

15 Uplifting Sites Focused on Positive Stories and Ideas for Good

21 Day Gratitude Challenge

Random Acts of Kindness

Lesson 31: *Community Service*

Peace Corps

10 Good Places to Volunteer

Lesson 32: *Earth Stewardship*

The 5 Cs of Community Planning

America’s Public Lands Explained

How Much Land Does the Federal Government Own—and Why?

What Is Zero Waste?

Lesson 33/34/35: *Call to Community Action*

How to Create Successful Community Service Projects

Lesson 36: *Learning Reflection*

Civics Questions for the the United States Naturalization Test

### Grade 8 - Physical Science

### Physical Science

General links

Types of Essays

Lesson 1: *Measurements and Quantitative Data*

Scientific Argument

Lesson 2: *Controlled Experiments and the Scientific Method*

Video: Controlled Experiments

Video: Correlation and Causality

Lesson 3: *Matter and Elements*

Matter: Definition and the Five States of Matter

Video: Atoms and Molecules

Explanation of Atoms and Elements

Video: What Is an Atom?

Video: The New Periodic Table Song

Video: Alkali Metals in Water

Dynamic Periodic Table

Video: Atomic Weight and Mass

Number of Protons, Electrons, and Neutrons in an Atom

Elemental Math Game

How Many Atoms Fit in Each Shell Around an Atom?

How to Draw an Element

Lesson 5: *Mixtures, Compounds, and Solutions*

Chemical Formulae

Video: Mixtures and Solutions

Lesson 6: *Solutions and Suspensions*

Video: Mixtures, Solutions, and Suspensions

Video: How Do We Separate the Seemingly Inseparable?

Lesson 7:

How Does Heat Travel?

Video: Heat Transfer: Conduction, Convection, Radiation

Types of Insulation

Insulation Effectiveness and Environmental Issues

Recommended Home Insulation R-Values

How Is Heat Transferred?

Video: Heat Transfer—Conduction

Video: Heat Transfer—Convection

Lesson 8: *Force and Motion*

Types of Forces

Video: What Forces Are Acting on You?

Vectors

Video: Resultant Forces

Lesson 9: *Mass, Weight, and Gravity*

Video: Newton’s Law of Universal Gravitation (Part 1)

Video: Newton’s Law of Universal Gravitation (Part 2)

Video: Gravity

What is Microgravity?

Lesson 10: *First Law of Motion*

Video: Newton’s First Law of Motion

Video: Friction (Bill Nye clip)

Video: A World Without Friction

Video: Tablecloth Trick (Inertia)

Lesson 11: *Second and Third Laws of Motion*

What Is Acceleration?

Acceleration

Video: Newton’s Three Laws with a Bicycle

Newton’s Laws of Motion

Video: Newton’s Laws of Motion (3): Action and Reaction

Lesson 13: *Types of Energy*

Forms of Energy: Potential and Kinetic

Video: High Road, Low Road Race Track (Potential and Kinetic Energy)

Video: Jumping Frogs: An Experiment in Potential and Kinetic Energy

Video: Potential, Kinetic, and Mechanical Energy

Lesson 14: *Thermodynamics and Conservation of Energy*

The Principle of Conservation of Mechanical Energy

Mechanical Energy

Video: Conservation of Energy: Free Fall, Springs, and Pendulums

Lesson 15: *Work and Power*

All Work and No Play

Video: How Does Work…Work?

Lesson 16: *Harnessing Energy*

Renewable and Nonrenewable Resources

Nonrenewable Energy

Learning About Renewable Energy

International Space Station Power System: Solar Arrays

Lesson 17/18: *Scientific Inquiry*

Extension Service, U.S. Department of Agriculture

Lesson 19: *Properties of Waves*

Types of Waves

Categories of Waves

Video: Types of Waves

Video: Traveling Waves

Video: The Physics of Surfing

Lesson 20: *Sound Waves and Acoustics*

Video: How the Ear Works

Sound Is a Pressure Wave

Video: Sound—Transmission of Sound

Video: Properties of Sound Waves

Video: How Sound Travels Through Different Media

Video: What Is Tone Color? (Timbre)

Lesson 21: *Light Energy and the Electromagnetic Spectrum*

The Electromagnetic Spectrum

Video: The Science of Light and Color

Video: What Is Light?

CD and DVD players

Lesson 22: *Properties of Light Waves*

Video: Light Absorption, Reflection, and Transmission

Video: The Science of Rainbows

Video: How Rainbows Form

Dispersion of Light by Prisms

Video: What Determines the Skies Colors at Sunset and Sunrise?

What Determines Sky’s Colors at Sunrise and Sunset?

Video: Why is the Sky Blue and Not Violet?

Video: Heat Transfer—Thermal Radiation

Lesson 23: *Sight and Lenses*

Lenses

Video: Introduction to Lenses (Convex and Concave)

Video: How Do Lenses Work?

Video: Convex and Concave Lens

Lenses and Geometrical Optics

The Concept of Magnification

Studies Show We Quickly Adjust to Seeing Everything Upside-Down

Lesson 25: *Electricity*

Video: Electric Charge

Video: Positive and Negative Charge

Charge Interactions

What is Electricity?

Video: Explaining an Electrical Circuit

Top Ten Rules for Electrical Safety

Kids: Take Charge of Your Electrical Safety

Lesson 26:* Batteries and Circuits*

How Do Batteries Work?

Batteries

Video: Explaining an Electrical Circuit

Video: Series and Parallel Circuits

Lesson 27:* Measuring and Controlling Electricity*

Voltage, Current, Resistance, and Ohm’s Law

What is Electricity?

Two Types of Connections

Resistance

Lesson 28: *Home Electricity*

Video: Resistors in Series Vs. Resistors in Parallel

Series and Parallel Circuits

How to Read Your Electric and Gas Meters

Lesson 29: *Magnetism*

Video: The Science Behind Magnets: How Do They Work?

Video: Bill Nye Magnetism

How Magnets Work

What Causes Earth’s Magnetic Field?

Magnetic North Pole Vs. Geographic North Pole

Magnetic Pole Reversal Happens All the (Geologic) Time

Video: How to Use a Compass

Lesson 30: *Electromagnetism*

Video: Electromagnetism: Magnetic Force

Video: Magnetic Field of a Wire

Electric Motors and Generators

Video: What is AC and DC?

Explain That Stuff: Electric Motors

Lesson 31: *Mechanical Advantage*

Levers: Simple Machines

Types of Levers

Video: The Mighty Mathematics of the Lever

Video: What Is a Wedge?

Lesson 32: *Wheels, Gears, and Pulleys*

The Wheel and Axle

Video: Wheel and Axle: Simple Machines

Video: Simple Machines for Kids

Video: Simple Machines

Video: Torque

Pulleys

Video: Simple Machines: The Pulley

Centripetal Force

Lesson 33: *Aerodynamics and Flight*

What Is a Projectile?

Newton’s First Law Applied to Airplanes

Video: How Do Airplanes Fly?

Lesson 34: *Modern Machines*

What Is a Satellite?

Explain that Stuff: Satellites

New Interactive Chart Shows Just How Many Satellites are Orbiting Earth

Explain that Stuff: Television

Explain that Stuff: Record Players and Phonographs

How Car Engines Work

How Do Hybrid Cars and Trucks Work?

### High School Courses

### Biology

This weekly two-minute podcast from Science Underground has cool science facts.

Lesson 6

Mules and what happens when you breed two related animals with mismatched chromosomes

Video: Mendel’s peas and the basics of genetics

Lesson 8

Short video: DNA structure and function. It’s a good overview of the big picture behind several lessons, including protein synthesis, mutations, and natural selection.

Video: Hershey and Chase’s work, including actual photos of viruses and bacteria. This is also applicable to lesson 19.

Lesson 9

Video: GMOs, the importance of peer review in science, and the potential effects of political interest

Gene therapy, and its potential for treating blindness*

Ted Talk: Kary Mullis: Play! Experiment! Discover!

Lesson 10

New findings about the DNA of ancient humans in Europe. It answers some questions about human evolution, linking genetic research to evolution and nutrition.

Lesson 12

NPR News report: Challenging the assumption that life evolved in the ocean and then moved to land when the ozone layer formed, protecting land from UV radiation. It’s another example of how science keeps changing with every new discovery!

Possibility of life originating on Mars! When reading these articles, always check out the comments by readers, as some of them share intelligent thoughts. It is the seemingly outlandish research such as this that eventually builds up to a credible scientific case.

New species of ancient human, Homo naledi, discovered in South Africa, just announced to the world in September, 2015.

Lesson 22

Video: Plant reproduction made simple

Lesson 26

Animal eye shape as related to their lifestyle. They even connect it to designing fictitious animals used in Hollywood movies!

### Human Anatomy and Physiology

General:

Innerbody.com

Teachpe.com

Crash Course Anatomy and Physiology series

Lesson 1: *Getting Started with Anatomy and Physiology*

Introduction to Anatomy & Physiology: Crash Course A&P #1

Anatomical Position and Directional Terms

Body Farm – National Geographic Video Note: be prepared for some graphic images.

Down on the Body Farm: Inside the Dirty World of Forensic Science

Lesson 2: *Human Body Systems*

Vitruvius, On Architecture

Lesson 3: *The Nervous and Endocrine Systems*

Hormone Affects How Teens’ Brains Control Emotions

BrainFacts.org

Studies of Interference in Serial Verbal Reactions

Demonstration of Stroop Effect—‘Name That Color’ Test

TED talk: What we’ll learn about the brain in the next century

Lesson 4: *Respiration and Circulation*

How to Measure Your Lung Capacity

Lung Capacity— A BodyWorks On Tour science experiment

“Label the Heart” quiz

Lesson 5: *The Immune System*

“5-second rule on dropped food may have some truth to it”

“Rethinking The Five-Second Rule: With Carpet, There’s No Rush”

Net Logo

Lesson 6:* The Digestive and Excretory Systems*

Gulp! The Quiz

The Inside Scoop on Your Insides

“The Marvels in Your Mouth”

High School Biology Lesson Video: Demonstrating Digestion

Lesson 7: *The Skeletal System*

“The Skeleton and Bones”

Skeleton: Bones and Joints

Diagnosing Osteoporosis (Osteoporosis #3)

Osteoporosis

Lesson 8:* The Muscular System*

“Muscle Structure—Muscle Under the Microscope”

Lesson 9: *The Integumentary System*

“The Integumentary System, Part 1 – Skin Deep: Crash Course A&P #6

“The Integumentary System, Part 1 – Skin Deeper: Crash Course A&P #7”

Lesson 10: *Reproduction and Development*

Fertilization (Conception)

Human Embryo Growing from Fertilization to Day 6 Blastula

The Miracle of Life – 9 months in 4 minutes

Alexander Tsiaras: Conception to Birth – visualized

Life Before Birth – In the Womb

Greatest Miracle PBS

In Vitro Fertilization (IVF)

Baby Makers: The Fertility Clinic (IVF Documentary)

Lesson 11: *Putting It All Together*

Running On Empty

The Heart, part 2 – Heart Throbs: Crash Course A&P #26

What Will Humans Look Like in 100 Years?

We Can Reprogram Life. How to Do it Wisely

### Forensic Science

Lesson 1

Crime Museum: Casey Anthony Trial

DNA expert: Blood on Westerfield’s Jacket matches slain girl’s

Lesson 2

O.J. Simpson acquitted

Crime Museum: JonBenét

*Why Eyewitnesses Fail *

*Social Influence and Eyewitness Testimony *

*How Reliable Is Your Memory? *

Innocence Project

Lesson 3

A Byte Out of History: Latent Prints in the 1933 Hamm Kidnapping

Richard Ramirez, the ‘Night Stalker’ Killer, Dies at 53

*Your Fingerprints Reveal More Than You Think *

*Forensic Education Basic Fingerprint Lifting*

Lesson 4

Murderpedia: Ludwig Tessnow

Fake Blood Recipes

Find the DNA in a Banana

Lesson 5

Central Park Five

Virtual Microscopy Interactive Tutorials

Smartphone Microscope Review

MicrolabNW Photomicrograph Gallery: Hair

Lesson 6

The Curious Case of the Poisoned Umbrella: The Murder of Georgi Markov

*Forensic Files: Season 11, Episode 39, “Fired Up” *

*Forensic Files 2: Season 9, Episode 21, “Point of Origin” *

Your Body at Different Levels of Blood Alcohol Concentration

Crime Museum: Pablo Escobar

Who Killed Pablo Escobar? Truth Told by DEA Agents

Lesson 7

Beltway Snipers

Latest appeal by Jesse Timmendequas to overturn conviction in Megan Kanka killing Is rejected

Unabomber

*Forensic Files: Season 11, Episode 1, “Naughty or Nyce” *

Lesson 8

A Forensic Anthropologist Who Brings Closure for the “Disappeared”

Lesson 9

Everyday Cybercrime and What You Can Do About It

Google Earth

### Spanish I

General

Vocaroo.com

My.hrw.com

WordReference.com

SpanishDict.com

Spanish.typeit.org

Lesson 2

Numbers Song in Spanish (Cancion de los Numeros)

Lesson 3

Hispanic Or Latino? That Is the Question

How to Type Spanish Letters and Accents

Lesson 4

*Mi Vida Loca*

Lesson 5

Spanish Phrases: Basic Spanish Adjectives

Lesson 6

Feasts: Mexico 2 of 3: *Dia de los Muertos*

Lesson 9

Largest U.S. Immigrant Groups Over Time, 1960–Present

Lesson 10

Marc Anthony: *Vivir Mi Vida*

Lesson 12

BBC World: *Quinceañera*

*My Dream Quinceañera: Ana*

Lesson 14

Bullfighting saved from the sword as Spain rules it is an artistic discipline

Works of Antoni Gaudí

Lesson 15

Introducing Spain

Lesson 19

Climbing Cotopaxi

Lesson 20

Wildlife Trafficking

Going to the Galápagos Is Easier and Cheaper Than Ever. That Might Not Be a Good Thing.

Lesson 21

An Uncommon Victory for an Indigenous Tribe in the Amazon

Lesson 23

Aventura—Obsesion

Lesson 24

One Island, Two Worlds

Lesson 25

State and County Quick Facts: Florida

Merengue Dance Steps: Merengue Footwork Basics

Cumbia: The Musical Backbone of Latin America

Lesson 27

Climate Change in Argentina is Killing Penguin Chicks

Lesson 28

History of Abuelas de Plaza de Mayo: Children Who Disappeared or Who Were Born in Captivity

Lesson 29

Sr. Wooly: Billy la Bufanda

Lesson 30

The Power of the Bilingual Brain

Lesson 31

Happy Planet Index: Costa Rica

Lesson 32

Red-Eyed Tree Frog

A Costa Rican Red-Eyed Tree Frog in Pictures

Lesson 33

Reaching for a Zero-Emission Goal

Costa Rica Recognized for Biodiversity Protection

Lesson 34/35

Ecuador: The Galápagos Islands and the Andes

### Spanish II

General

Vocaroo.com

My.hrw.com

WordReference.com

SpanishDict.com

Spanish.typeit.org

Lesson 1

Miami’s Latino Culture

Lesson 2

“Let It Go” from Frozen according to Google Translate

Norway’s Olympic team (translation error)

Destinos: An Introduction to Spanish

Lesson 3

What is Ecotourism

Costa Rica Ecotourism

Nicoya, Costa Rica: A Latin American Blue Zone

Blue Zone Photos: Nicoya Peninsula, Costa Rica

Lesson 4

Costa Rica: Paving the Way for Rights of Nature?

Costa Rica Country Profile

Lesson 5

Discover the Mysteries of Easter Island

What’s So Special about the Atacama Desert?

Lesson 6

The Untold Story of How Argentinian Tango Evolved

Street Argentine Tango

Lesson 7

Jennifer Dahlgren

Che Guevara (1928–1967)

Lesson 8

Classic Argentinian Alfajores Cookies

Lesson 10

More Photos of the Crisis in Puerto Rico

Lesson 11

What Do the Colors and Symbols of the Flag of Puerto Rico Mean?

Is Puerto Rice Part of the U.S.?

Lesson 12

The Latin Dance of Bachata

Lesson 14

Meet the All-Female Band Redefining Mariachi, Flor de Toloache

Lesson 16

23 Best Things to Do in Mexico City

Lesson 19

The Ambassador of Spanish Ham

Hundreds of Tons of Tomatoes Are Used as Ammo in Spain’s Tomatina Festival

Lesson 20

Flamenco Dance, Seville, Spain

Dancing the Flamenco: Basic Footwork

Lesson 21

Guernica and 30’s

Lesson 23

Civics Practice Test

Notable Hispanic Americans

Lesson 24

17 Photos that show what life is like on the U.S.-Mexico border

United States Interventions

Lesson 25

The Bodega Signmakers of New York

Bodegas: Living the American Dream

Hispanic/Latino Vote

Lesson 27

Courtyards of Latin America

Lesson 28

Dominican Republic

Lesson 29

Croc Fossil Discovered in Cave

Can You Find the Dominican Republic on a Map?

Lesson 31

12 Ecuadorean Bands You Should Listen To

Lesson 32

Preserving Lonesome George

The Theory of Evolution Has Its Origins in the Galapagos

Lesson 33

Otavalo: The Land of Andean Artistry

### Spanish III

General

Vocaroo.com

My.hrw.com

WordReference.com

SpanishDict.com

Spanish.typeit.org

How to Type Spanish Letters and Accents

Lesson 1

The Benefits of Learning a Second Language

Learn Spanish Gestures

Lesson 2

15 Encouraging Phrases a Spanish Speaker Like Me Would Love for You to Learn

Photos of the Week: 8/8–8/14 (2015)

Lesson 3

Tacos al pastor, classic Mexican tacos

Lesson 4

Growing Up Butterfly

Monarch Butterflies

How to Create Your Own Monarch Butterfly Rest Stop

Lesson 5

Breaking a Mexican Tradition That Excludes Women, to Keep It Alive in Brooklyn

Lesson 6

2 university students discover they have more in common than they thought just by saying 8 words

“Riveting Photos of Migrant Workers Remind Us Who Really Harvests Our Food”

Lesson 7

18 Latin American Art Museums in the United States

11 Paintings from Spanish Artists That You Can See in U.S. Museums

Smithsonian Latino Virtual Museum

Lesson 8

Spanish Newspapers in the U.S.

Lesson 11

Made in Honduras

Maquila: A Tale of Two Mexicos

Maquiladora Women (spots from the film Maquilapolis)

Lesson 12

Leonardo DiCaprio confiesa su gusto por las pupusas

Pupusas recipe

Lesson 14

Sugarcane workers in the Dominican Republic

Juan Luis Guerra, Ojala que Llueva Café

Lesson 15

Buena Vista Social Club “Chan Chan” at Carnegie Hall

Lesson 16

Gente de Zona: La Gozadera

Cuba (The New York Times)

Drug Runners or Dissidents?

Lesson 19

Nasca Lines

Lesson 20

Peru’s Snow Star Festival

Lesson 21

Evolution by Natural Selection: Darwin’s Finches

Lesson 22

“LatinoAmérica” by Calle 13

Lesson 23

Caga tió, tió de Nadal

Extra, todos los capítulos

Lesson 24

Building Human Towers in Spain

Lesson 25

Thinking of buying a deserted village in Spain?

Lesson 27

Why Is Colombian Coffee the World’s Favorite?

Venezuela (BBC News)

Venezuela (New York Times)

The Empty Cupboards of Venezuela’s Families

Lesson 28

Carlos Vives and Shakira, “La Bicicleta”

Lesson 29

World’s Largest Rodent

Lesson 31

World’s ‘poorest’ ex-president Mujica turns down pension

Lesson 32

Viña del Mar

Lesson 33

The Most Useful Language for English Speakers to Learn, According to an Economist

### Foodways: Sustainable Food Systems

Lesson 1

Video: Biological Molecules: You Are What You Eat

Video: Photosynthesis and the Teeny Tiny Pigment Pancakes

Lesson 2

Video: What Is the Soil Food Web?

Video: Autotrophs vs. Heterotrophs

Article: Soil Food Web

Lesson 3

Article: Soil Types

Article: Soil Layers

Video: Introduction to Soil (Part 1)

Video: Introduction to Soil (Part 2)

Video: Soil and Soil Dynamics

Article: State Soils

Lesson 4

Interactive map: Where Our Food Crops Come From

Video: Origins of Agriculture

Lesson 5

Video: Earth’s Systems Interact

Video: Food System Components

Lesson 6

Video: Summer on the Farm

Video: What is Agroforestry?

Video: Why Are GMOs Bad?

Video: The Great Laws of Nature: Indigenous Organic Agriculture documentary

Lesson 7

Video: What is a Local Food System?

Video: Vermont’s Local Food System (6-part series)

Website: Local Harvest

Lesson 8

Article: 50 By 60: A New England Food Vision

Video: Food by the Numbers: Feeding Our Hungry Planet

Article: Why Local Food Matters

Lesson 9

Article: What Is Agribusiness?

Article: American Farmers Say They Feed the World, But Do They?

Article: A Decade After “The Omnivore’s Dilemma,” Michael Pollan Sees Signs of Hope

Video: The Truth About Your Food

Lesson 10

Article: What Is Sustainable Agriculture?

Documentary: Those Who Sow

Lesson 11/12

Video: Food and the Impact of Social Media

Video: Marketing Food to Children

Music video: Grow Food

Music video: I’m Farming and I Grow It

Photo essay: What I Eat: Around the World in 80 Diets

Lesson 13

Article: Map: Here’s How Much Each Country Spends on Food

Article: Child Poverty

Article: Why American’s Lead the World in Food Waste

Video: New England Food Is Our Solution

Video: Seeds of Our Ancestors, Seeds of Life

Report: USDA Ag and Food Statistics 2018

Lesson 14

Video: Stages of Service Learning

### U.S. History

In this course, you are asked to keep track of the sources you use when researching the reading topics in each lesson. The following print publications and online sources can be used as a starting point for your research. This list is not comprehensive—you will need to do additional research to locate relevant sources of information.

Evaluating Internet Sources

The American Yawp: A Free and Online, Collaboratively Built American History Textbook

Best U.S. History Websites (EdTechTeacher)

U.S.History.org

History Matters (CUNY and George Mason University)

Have Fun With History

Notable Social Studies Trade Books for Young People (National Council for Social Studies)

SmithsonianEducation.org

African American History (Library of Congress)

*A Short History of the United States: From the Arrival of Native American Tribes to the Obama Presidency* by Robert V. Remini (Harper, 2009)

*A People’s History of the United States* by Howard Zinn (Harper, 2015)

Digital History

### World Geography

Lesson 1

Glossary of geographic terms

Reading latitude and longitude

Map projections

World’s biomes

Trees that tell a story

Lesson 2

World population clock

Radio around the world

Lesson 3

Forces that shape Earth

World glacier inventory

Lesson 4

Reference encyclopedia

Climate change

Humans and the Greenhouse Effect

Lesson 6

Percent of arable land

Canada statistics

Lesson 7

Demographic trends in the U.S.

Immigration Trends in the U.S.

Earliest inhabitants of North America

Population and energy consumption

Lesson 8

Caribbean map and facts

Ancient civilizations of Mexico

Chihuahuan Desert

Mesoamerican Reef

Corals and Coral Reefs

Plant Adaptations

Desert Animals

Lesson 9/10

Lesson 11

Andes Mountains

Amazon River

Amazon Rainforest

Galapagos Island

Lesson 12

Largest countries in South America

Indigenous languages of South America

Early South American civilizations

Agriculture of South America

Lesson 14

Natural wonders of Europe

Europe’s Alps

Mediterranean Sea

Islands of the Mediterranean

Lesson 15

Countries of Europe

European migrant crisis

Population data (click on individual countries)

European Union website

E.U. member nations

1000 years of European borders

Population density in Europe

Lesson 16

Languages spoken in Europe

Agriculture in EU member states

Air quality

Pollution as global issue

Ethnic diversity and conflict

Lesson 18

Wastewater treatment and water recycling

Economics of sports franchise location

Inca construction of Machu Picchu

Lesson 19

Natural landmarks of Russia

Kronotsky Nature Reserve

Protecting the Russian Arctic

Black Earth Belt

Russia’s climate zones

Weather data from climate stations across Russia

Tundra and taiga biomes

Steppe biome

Principle rivers of Russia

Lesson 20

Population density map of Russia

Russia’s demographics

Russian culture

Soviet Union timeline

Islam in Russia

Russian architecture

Censorship in Russia and the Soviet Union

Caucasus region and people

Turkic languages

Caucasian languages

Lesson 22

China population clock

Hong Kong territory profile

Volcanoes in the Pacific’s Ring of Fire

Chinese culture and heritage

Japanese culture

Mongolian culture

Lesson 23

Bhutan Gross National Happiness

Kashmir timeline

India and Pakistan’s Kashmir dispute

South Asia’s water issues

Video: Biggest cities in South Asia

Tourism in the Maldives

Natural features of India

Landmarks of Pakistan

Features and landmarks of Bangladesh

Lesson 24

Population data Southeast Asia

Southeast Asian nations and capitals

Natural wonders of Southeast Asia

Colonialism and nationalism

East Timor history

Vietnam country profile

Association of Southeast Asian Nations (ASEAN)

Krakatoa volcano

Tsunami preparedness

Lesson 25

Natural features of Middle East

Fossil fuels in the Middle East

Religions demographics

Religious significance of Jerusalem

Arabs and the Arab world

Ethnic tensions in Afghanistan

Modern architecture of the Middle East

Video: Islamic architecture

Water desalination in the Middle East

Bedouin culture

Lesson 28

Africa’s climate

Sahara Desert

Kalahari Desert

Natural features of Africa

Nile River

Desertification

Sahel region

Madagascar

Video: Congo Basin

Lesson 29

Western Sahara dispute

Moroccan Berbers

Algeria history and demographics

Tunisian landmarks

Arab Spring

Libya landmarks

Egyptian revolution 2011 (photos)

Timeline of Egyptian revolution

Building the Great Pyramid

Ancient Egypt

Preserving antiquities

Lesson 30

Sub-Saharan Africa (scroll down for links to each country)

Archeological finds in Africa

African health report

Population density

Language demographics

African Food Crisis

African Union

Lesson 32

Great Barrier Reef

Sunscreen Is Damaging Coral Reefs

Origins of aboriginal culture

Animals of Australia

Aboriginal art

Great Artesian Basin

Australia weather and seasons

Lesson 33

Countries and capitals of Oceania

Types of islands

Oceania’s indigenous peoples

Nuclear testing in Oceania

El Niño-Southern Oscillation (ENSO)

Lord of the Rings filming locations

Lesson 34

Photos of Antarctica

Antarctic wildlife

Larson C Ice Shelf

Facts about Antarctica

Ice shelf gains and losses

Video: Territorial claims

### World History

In this course, you are asked to keep track of the sources you use when researching the reading topics in each lesson. The following print publications and online sources can be used as a starting point for your research. This list is not comprehensive — you will need to do additional research to locate relevant sources of information.

General History Websites and Resources (EdTechTeacher)

World History for Us All (San Diego State University)

World History Matters (George Mason University)

75+ History Websites for Research (by John Milgram. Top Notch Studies for A+ Students)

Notable Social Studies Trade Books for Young People (National Council for Social Studies)

SmithsonianLearningLab.org

History (BBC)

United States Holocaust Memorial Museum

History (PBS)

Guns, Germs, and Steel: The Fates of Human Societies by Jared M. Diamond (W.W. Norton, 1999)

Collapse: How Societies Choose to Fail or Succeed by Jared Diamond (Penguin, 2011)

National Geographic Visual History of the World (National Geographic Society, 2005)

### Word: The Poet's Voice

Below you will find links to each of the poems in the course, plus the spoken word performances, as well as general resources to help increase your understanding and enjoyment of poetry.

**General Resources**

How to read a poem

*Poetry Foundation*

*Academy of American Poets*

*Poetry 180*

*Poetry Soup*

*Free Word*

**Unit I: Nature**

“Crossings” by Ravi Shankar

“The Weed” by Elizabeth Bishop

“Riprap” by Gary Snyder

**Unit II: Love**

“Tonight I Can Write” by Pablo Neruda

**Unit III: Spoken Word**

“Coded language” by Saul Williams text (read text before watching performance)

“Coded language” by Saul Williams performance

“Ode to a Crossfader” by John Murrillo performance (watch performance before reading text)

“Plastic Sea” by Mirko Bonné (Note: We will focus on the third stanza, which begins with “…Each black meter of water, rolling past ominously…” and ends with “… But this here, the black water masses, such/a draggled park, never, really, no.” Feel free to read the whole poem, if you’d like, but refer to the third stanza when answering the questions in your lesson.)

“Mother’s Mouth” by Amaal Said (translated from Somali to English)

**Unit IV: The Female Voice**

“Still I Rise” by Maya Angelou

“Wallflower” by Anne Sexton

“Poetry” by Pablo Neruda

### Women's Literature: Worlds of Fantasy and Science Fiction

**Unit I: Fantasy**

Tam Lin

Thomas the Rhymer

Fairport Convention (song) Tam Lin

Jeremy Irons Reads TS Eliot’s “Four Quartets”

“Four Quartets” by TS Eliot (text)

**Unit II: Science Fiction**

Author website: Ursula K. Le Guin

Map of Gethen

*New Yorker* article: “The Fantastic Ursula K. Le Guin”

**Unit III: World Building**

Author website: Nnedi Okorafor

The Binti Series

### Geometry

#### Oak Meadow Lesson 1 (Textbook Lessons 1 – 10)

1:* Points, Lines, and Planes*

Instructional Video: Points, Lines and Planes (collinear and coplanar points)

Geogebra Investigation: Points, Lines and Planes

2: *Segments*

Instructional Video: Segment Addition Postulate

Practice Set: Segment Addition Postulate

Geogebra Investigation: Segment Addition Postulate

3: *Angles*

Instructional Video: Naming Angles

Reading Resource and Instructional Video: Angle basics and Angle Addition Postulate

4: *Postulates and Theorems About Points, Lines, and Planes*

Instructional Video: Postulates and Theorems about points, lines, and planes

5: *More Theorems About Lines and Planes*

Instructional Video: Parallel and Perpendicular Lines

6: *Identifying Pairs of Angles*

Instructional Video with Practice Problems: Complementary and Supplementary Angles

Instructional Video: Linear Pairs and Vertical Angles

Practice Set: Identifying Complementary, Supplementary, and Vertical Angle Pairs

Geogebra Investigation: Angle Relationships (book includes 5 demonstrations)

7: *Using Inductive Reasoning*

Instructional Video: Inductive Reasoning part 1

Instructional Video: Inductive Reasoning part 2

Reading Resource: Inductive Reasoning

8: *Using Formulas in Geometry*

Instructional Video: Area and Perimeter of rectangles and squares

Geogebra Investigation: Visual Proofs of the Pythagorean Theorem (book includes 4 activities)

Instructional Video: Using the Pythagorean Theorem to find area and perimeter of triangles

9: *Finding Length: Distance Formula*

Instructional Video: Using the Distance Formula

10: *Using Conditional Statements*

Instructional Video: Conditional and Converse Statements

#### Oak Meadow Lesson 2 (Textbook Lessons 11-20)

11: *Finding Midpoints*

Instructional Video with Practice Problems: Finding Midpoints

12:* Proving Lines Parallel*

Instructional Video: Angle Relationships in Parallel Lines

Practice Set: Angle Relationships in Parallel Lines

Geogebra Investigation: Angle Relationships in Parallel Lines (book includes 3 activities)

Instructional Video: Proving Lines Parallel

13:* Introduction to Triangles*

Instructional Video: Classifying Triangles by Sides and Angles

Practice Set: Classifying Triangles by Sides and Angles

Instructional Video: Finding the Area of a Triangle

Practice Set: Finding the Area of a Triangle

14: *Disproving Conjectures with Counterexamples*

Instructional Video: Conjectures and Counterexamples

15: *Introduction to Polygons*

Instructional Video: Polygon or Non-Polygon?

Instructional Video: Classifying Polygons

Geogebra Investigation: Regular Polygons

16: *Finding Slopes and Equations of Lines*

Instructional Video: Finding Slope from a graph

Instructional Video: Finding Slope from two points

Instructional Video: Writing Equations of Lines

Instructional Video: Graphing lines in y=mx+b form

Practice Set: Graphing lines

17: *More Conditional Statements*

Instructional Video: Inverse and Contrapositive Statements

18: *Triangle Theorems*

Instructional Video: Triangle Sum Theorem

Geogebra Investigation: Triangle Sum Theorem

Instructional Video: Exterior Angle Theorem

Geogebra Investigation: Exterior Angle Theorem

19:* Introduction to Quadrilaterals*

Instructional Video: Introduction to Quadrilaterals

Practice Set: Identifying Quadrilaterals

Instructional Video: Area and Perimeter of rectangles and squares

20:* Interpreting Truth Tables*

Instructional Video: Truth tables, conjunctions and disjunctions

#### Oak Meadow Lesson 3 (Textbook Lessons 21-30)

21: *Laws of Detachment and Syllogism*

Instructional Video: Laws of Detachment and Syllogism

22: *Finding Areas of Quadrilaterals*

Instructional Video: Area of a Parallelogram

Practice Set: Finding Area of a Parallelogram

Instructional Video: Area of a Trapezoid

Practice Set: Finding Area of a Trapezoid

Instructional Video: Area of a Rhombus

Instructional Video: Area of a Rhombus (more in-depth)

23: *Introduction to Circles*

Instructional Video: Area and Circumference of Circles

Geogebra Demonstration: Area of a Circle

Instructional Video: Area of Circles Application Problem

Practice Set: Area of a Circle

Practice Set: Circumference of a Circle

24: *Algebraic Proofs*

Instructional Video: Algebraic Proofs

25: *Triangle Congruence SSS*

Instructional Video: Naming Congruent Triangles

Instructional Video: Triangle Congruence by SSS

Geogebra Investigation: SSS Demonstration

26: *Central Angles and Arc Measure*

Instructional Video: Major Arcs, Minor Arcs, and Semicircles

Instructional Video: Congruent Arcs

Instructional Video: Arc Addition Postulate

Geogebra Investigation: Exploring Arcs and Angles

27: *Two-Column Proofs*

Instructional Video: Intro to Two-Column Proofs

Instructional Video: Additional Example of a Two-Column Proof

28: *Triangle Congruence SAS*

Instructional Video: SAS Congruence with Example Proof

Instructional Video: Additional Example of SAS Proof

29: *Using the Pythagorean Theorem*

Instructional Video: Simplifying Radicals

Practice Set: Simplifying Square Roots

Instructional Video: Pythagorean Triples

Reading Resource: Pythagorean Triples

30: *Triangle Congruence ASA and AAS*

Instructional Video: ASA vs. AAS

Quizlet Flashcards: ASA vs. AAS

Instructional Video: Proof with ASA or AAS

Instructional Video: Why SSA Doesn’t Work

Geogebra Investigation: Triangle Congruence Shortcuts

Practice Set: Determining Triangles Congruent

#### Oak Meadow Lesson 4 (Textbook Lessons 31-40)

31: *Flowchart and Paragraph Proofs*

Instructional Video: Flowchart and Paragraph Proofs

32: *Altitudes and Medians of Triangles*

Instructional Video: Centroid vs. Orthocenter

Geogebra Demonstration: Centroids

Geogebra Investigation: Orthocenter

33: *Converse of the Pythagorean Theorem*

Instructional Video: Converse of the Pythagorean Theorem with Examples

Geogebra Investigation: Converse of the Pythagorean Theorem

34: *Properties of Parallelograms*

Instructional Video: Properties of Parallelograms

Geogebra Investigation: Properties of Parallelograms

Geogebra Investigation: Properties of Parallelograms 2

35: *Finding Arc Lengths and Areas of Sectors*

Instructional Video: Arc Length and Sector Area

Geogebra Investigation: Test Your Skills with Arc Length and Sector Area

36: *Right Triangle Congruence Theorem*

Instructional Video: HL with proof examples

37: *Writing Equations of Parallel and Perpendicular Lines*

Instructional Video: Parallel, Perpendicular, or Neither?

Instructional Video: Finding Slopes of Parallel and Perpendicular Lines

Instructional Video: Graphing Parallel and Perpendicular Lines

38: *Perpendicular and Angle Bisectors of Triangles*

Instructional Video: Using the Angle Bisector Theorem

Instructional Video: Incenters and Circumcenters

Geogebra Demonstration: Incenters

Geogebra Demonstration: Circumcenters

Geogebra Investigation: Circumcenters

39: *Inequalities in a Triangle*

Instructional Video: Ordering the Sides of a Triangle

Instructional Video: Triangle Inequality Theorem with Examples

Instructional Video: Exterior Angle Inequality Theorem with Proof Example

40: *Finding Perimeters and Areas of Composite Figures*

Instructional Video: Perimeter and Area of Composite Shapes

Practice Set: Perimeter and Area of Composite Shapes

#### Oak Meadow Lesson 5 (Textbook Lessons 41-50)

41: *Ratios, Proportion, and Similarity*

Instructional Video: Proportion Application

Instructional Video: Solving Proportions

Instructional Video: Similar Polygon Overview and Solving for Missing Parts

42: *Finding Distance from a Point to a Line*

Instructional Video: Using the Distance Formula

43: *Chords, Secants, and Tangents*

Instructional Video: Chord and Diameter Theorems

Geogebra Investigation: Chords, Secants, and Tangents

Geogebra Investigation: Diameters and Chords

44: *Applying Similarity*

Instructional Video: Using Proportions to Find Missing Sides of Similar Figures

Instructional Video: Ratio of Area and Perimeter of Similar Figures

45: *Introduction to Coordinate Proofs*

Instructional Video: Introduction to Coordinate Proofs

46: *Triangle Similarity AA, SSS, SAS*

Instructional Video: Triangle Similarity Theorems

Practice Set: Determining Similar Triangles

Instructional Video: Example of a Two-Column Triangle Similarity Proof

47: *Circles and Inscribed Angles*

Instructional Video: Inscribed Angles

Practice Set: Inscribed Angles

Geogebra Investigation: Inscribed Angles

Geogebra Investigation: Inscribed Quadrilaterals

48: *Indirect Proofs*

Instructional Video: Indirect Proof

Instructional Video: Indirect Proof 2

49:* Introduction to Solids*

Instructional Video: Introduction to Solids

Instructional Video: Euler’s Formula

50: *Geometric Mean*

Instructional Video: Finding Geometric Mean of Two Numbers

Instructional Video: Using Geometric Mean with Right Triangles

#### Oak Meadow Lesson 6 (Textbook Lessons 51-60)

51: *Properties of Isosceles and Equilateral Triangles*

Instructional Video: Using Properties of Isosceles Triangles

Instructional Video: Using Properties of Equilateral Triangles

Instructional Video: Proofs with Isosceles Triangles

Geogebra Demonstration: Isosceles Triangles

Geogebra Demonstration: Equilateral Triangles

52: *Properties of Rectangles, Rhombuses, and Squares*

Instructional Video: Properties of Rectangles

Geogebra Demonstration: Rectangle Properties

Instructional Video: Properties of Squares

Geogebra Demonstration: Square Properties

Instructional Video: Properties of Rhombuses

Geogebra Demonstration: Rhombus Properties

53: *45-45-90 Right Triangles*

Instructional Video: 45-45-90 Triangles

Instructional Video: 45-45-90 Examples

Geogebra Investigation: 45-45-90 Triangles

54: *Representing Solids*

Instructional Video: Drawing Solid Shapes

55: *Triangle Midsegment Theorem*

Instructional Video: Proof of the Triangle Midsegment Theorem

Instructional Video: Using the Triangle Midsegment Theorem

56: *30-60-90 Right Triangles*

Instructional Video: 30-60-90 Triangles

Instructional Video: 30-60-90 Examples

Geogebra Investigation: 30-60-90 Triangles

57: *Finding Perimeter and Area with Coordinates*

Instructional Video: Perimeter and Area on the Coordinate Plane

58: *Tangents and Circles, Part 1*

Instructional Video: Tangents and Circles

Geogebra Demonstration: Tangents to Circles

59: *Finding Surface Area and Volumes of Prisms*

Instructional Video: Surface Area and Volume of Prisms

60: *Proportionality Theorems*

Instructional Video: Using the Triangle Proportionality Theorem

Instructional Video: Transversal Proportionality Theorem

#### Oak Meadow Lesson 7 (Textbook Lessons 61-70)

61: *Determining if a Quadrilateral is a Parallelogram*

Instructional Video: Showing a Quadrilateral is a Parallelogram

62: *Finding Surface Areas and Volumes of Cylinders*

Instructional Video: Surface Area and Volume of Cylinders

63: *Introduction to Vectors*

Instructional Video: Intro to Vectors and Scalars

Instructional Video: Finding Magnitude of a Vector

Instructional Video: Adding Vectors Algebraically and Graphically

64: *Angles Interior to Circles*

Instructional Video: Tangents and Chords

Geogebra Demonstration: Tangents and Chords

Instructional Video: Arcs and Angles Formed by Chords

Geogebra Investigation: Angles Formed by Chords

65: *Distinguishing Types of Parallelograms*

Reading Resource: Properties of Parallelograms

Instructional Video with Practice Set: Quadrilateral Hierarchy

66: *Finding Perimeters and Areas of Regular Polygons*

Instructional Video: Perimeter and Area of Regular Polygons

67: *Introduction to Transformations*

Instructional Video: Intro to Rigid Transformations

Practice Set: Identifying Transformations

68:* Introduction to Trigonometric Ratios*

Instructional Video: Intro to Trig Ratios

Geogebra Practice Set: Test Your Trig Ratio Skills

69: *Properties of Trapezoids and Kites*

Instructional Video: Properties of Isosceles Trapezoids

Instructional Video: Examples of Trapezoid Midsegment Theorem

Geogebra Investigation: Isosceles Trapezoid Properties

Instructional Video: Kite Properties

Geometry Investigation: Kite Properties

70: *Finding Surface Area and Volumes of Pyramids*

Instructional Video: Surface Area and Volume of Pyramids

Geogebra Demonstration: Volume of Pyramid is ⅓ Volume of Prism

#### Oak Meadow Lesson 8 (Textbook Lessons 71-80)

71: *Translations*

Instructional Video: Translations

Practice Set: Translations

Geogebra Investigation: Translations with Vectors

Geogebra Activity: Tangrams with Translations

72: *Tangents and Circles, Part 2*

Instructional Video: Internal and External Tangents

Reading Resource: Common Tangents

73: *Applying Trigonometry: Angles of Elevation and Depression*

Instructional Video: Angles of Elevation and Depression

Instructional Video: Word Problem Examples with Angles of Elevation and Depression

Geogebra Investigation: Angles of Elevation and Depression

74: *Reflections*

Instructional Video: Reflections

Instructional Video: Determining Reflections

Practice Set: Reflecting Shapes

75: *Writing the Equation of a Circle*

Instructional Video: Writing an Equation of a Circle from a Graph

Instructional Video: Graphing a Circle from its Equation

Practice Set: Graph a Circle from its Equation

Geogebra Investigation: Relating a Circle and its Equation

76: *Symmetry*

Instructional Video: Lines of Symmetry

Instructional Video: Rotational Symmetry

Geogebra Investigation: Rotational and Reflective Symmetry

77: *Finding Surface Areas and Volumes of Cones*

Instructional Video: Surface Area and Volume of Cones

78: *Rotations*

Instructional Video: Rotations

Reading Resource: Transformation Cheat Sheet

79: *Angles Exterior to Circles*

Instructional Video: Angles Exterior to Circles

80: *Finding Surface Areas and Volumes of Spheres*

Instructional Video: Surface Areas and Volumes of Spheres

Geogebra Demonstration: Volume of a Sphere

#### Oak Meadow Lesson 9 (Textbook Lesson 81-90)

81: *Graphing and Solving Linear Systems*

Instructional Video: Solving Linear Systems by Graphing

Instructional Video: Solving Linear Systems by Graphing (Special Cases)

82: *More Applications of Trigonometry*

Instructional Video: Solving Right Triangles with Inverse Trig Functions

Geogebra Practice Set: Test your skills with Inverse Trig Functions

83: *Vector Addition*

Instructional Video: Adding Vectors

Geogebra Investigation: Adding Vectors

84: *Dilations*

Instructional Video: Dilations on the Coordinate Plane

Geogebra Investigation: Dilations

85: *Cross Sections of Solids*

Instructional Video: Slicing Solids

Instructional Video: Cavalieri’s Principle

Geogebra Investigation: Book Containing Multiple Cross Section Investigations

86: *Determining Chord Length*

Instructional Video: Chord Lengths

Geogebra Demonstration: Chord Lengths

87: *Area Ratios of Similar Figures*

Instructional Video: Ratio of Perimeter and Area of Similar Figures

88: *Graphing and Solving Linear Inequalities*

Instructional Video: Graphing and Solving Linear Inequalities 1

Instructional Video: Graphing and Solving Linear Inequalities 2

Practice Set: Graphing and Solving Linear Inequalities

89: *Vector Decomposition*

Instructional Video: Vector Decomposition Intro

Instructional Video: Vector Decomposition and Addition

90: *Composite Transformations*

Instructional Video: Composite Transformations

Practice Set: Composite Transformations

Geogebra Investigation: Composite Transformation Book (Multiple Activities)

#### Oak Meadow Lesson 10 (Textbook Lessons 91-100)

91: *Introduction to Trigonometric Identities*

Instructional Video: Intro to Trig Identities

Instructional Video: Proof of Pythagorean Trig Identity

92: *Quadrilaterals on the Coordinate Plane*

Instructional Video: Quadrilaterals on the Coordinate Plane 1

Instructional Video: Quadrilaterals on the Coordinate Plane 2

Instructional Video: Quadrilaterals on the Coordinate Plane 3

93: *Representing Solids: Orthographic Views*

Instructional Video: Orthographic Views

94: *Law of Sines*

Instructional Video: Law of Sines Solving for a Side

Instructional Video: Law of Sines Solving for an Angle

Practice Set: Law of Sines

95: *Equations of Circles: Translating and Dilating*

Instructional Video: Translating and Dilating Circles

Geogebra Investigation: Dilating a Circle

96: *Effects of Changing Dimensions on Perimeter and Area*

Instructional Video: Effects of Changing Dimensions on Perimeter and Area

97: *Concentric Circles*

Instructional Video: Area of an Annulus

Geogebra Demonstration: Area of an Annulus

98: *Law of Cosines*

Instructional Video: Solving for a Side with the Law of Cosines

Instructional Video: Solving for an Angle with the Law of Cosines

Practice Set: Law of Cosines

99: *Volume Ratios of Similar Solids*

Instructional Video: Ratio of Volumes of Similar Solids

Geogebra Investigation: Ratio of Volumes of Similar Solids

100: *Transformation Matrices*

Instructional Video: Adding and Subtracting Matrices

Practice Set: Adding and Subtracting Matrices

### Math Connections

Lesson 1: *Problem Solving and Critical Thinking*

**For help and extra practice with the concepts in this chapter:**

Estimation

Rounding

Pascal’s Triangle patterns

Fully-worked example of the Four-Step Problem Solving Process

**For fun and deeper exploration:**

*Books*

*How to Solve It* by George Polya

*Logic puzzles and riddles*

http://brainden.com/puzzles-riddles.htm

http://www.logic-puzzles.org/

*Sudoku, KenKen, Kakuro*

http://www.sudoku.com/

http://www.kenken.com/

http://www.kakuro.com/

*Magic Square puzzles*

http://www.magicsquarepuzzles.com/

Learn how to make your own Magic Square puzzles.

*Real problem-solving in the news*

“Wikipedia-size maths proof too big for humans to check,” from *New Scientist, *February 17, 2014.

Lesson 2: *Set Theory*

Dennis Wildfogel’s “How Big Is Infinity?” (TED-Ed)

Numberphile’s “Infinity is Bigger Than You Think”

The MacTutor History of Mathematics Archive

For help and extra practice with the concepts in this chapter:

A great explanation of what sets are, definitions of set theory terminology, and examples

Explanations and examples of how to solve word problems using Venn diagrams<

**For fun and deeper exploration:**

*Infinite sets:*

A proof that some infinities are bigger than others

A good explanation of infinite sets (also click through to the next page to continue the story)

An excellent TED-Ed lesson on the Infinite Hotel Paradox

*Fibonacci numbers:*

Fibonnaci applications

Puzzles whose solutions relate to the Fibonacci numbers

*Games involving set theory:*

SET, a fun and educational card game, is also available online and as an app

Lesson 3: *Number Theory and the Real Number System*

James Tanton’s video, “Divisibility Rule for 7

Scishow’s video, The Fibonacci Sequence: Nature’s Code

Cristóbal Vila’s short video, “Nature by Numbers”

#### For help and extra practice with the concepts in this chapter:

Khan Academy has a good explanation of how to use the Sieve of Eratosthenes to find prime numbers

Explanations and examples for the order of operations

Rational and irrational numbers

Khan Academy also has an entire section devoted to Scientific Notation

Exponent rules explained

Explanations and examples for arithmetic and geometric sequences

For additional inspiration for the Fibonacci Inspiration activity, check out these videos:

Vi Hart’s Spirals, Fibonacci and being a plant video series (3 parts)

Arthur Benjamin’s TED Talk

#### For fun and deeper exploration:

Prime and composite numbers game

Learn how Eratosthenes calculated the circumference of the Earth in Khan Academy’s article

Learn more about that famous number, pi: To see what a million digits of pi really looks like, check out Numberphile’s “A Mile of Pi” video

To hear a tonal representation of the digits of pi, check out Numberphile’s “Sounds of Pi” video

To see artistic data visualizations of the digits of pi, check out Numberphile’s “Pi is Beautiful” video

Lesson 4: *Algebra: Equations and Inequalities*

BeatCALC

TED-Ed talk given by Jeff Dekofsky

NOVA’s “Great Math Mystery”

#### For help and extra practice with the concepts in this chapter:

Khan Academy’s Linear Equations and Inequalities section

Proportions explanations and examples

Video on direct and inverse variation

#### For fun and deeper exploration:

For additional discussion to help you explore whether you believe mathematics was invented or discovered, check out PBS Idea Channel’s “Is Math a Feature of the Universe or a Feature of Human Creation?”

Lesson 5: *Algebra: Graphs, Functions, Linear Functions, and Linear Systems*

Line of Best Fit tool on the NCTM Illuminations website

#### For help and extra practice with the concepts in this chapter:

Graphing linear equations

Explanation of function evaluation

Explanation of scatterplots and regression lines

Solving systems of linear equations

Solving systems of linear inequalities

#### For fun and deeper exploration:

Now that you know a bit about correlation, it’s important to understand that correlation does not imply causation. In other words, just because two variables are related does *not* mean that one of the variables caused the other. This is a common logical fallacy that leads to invalid conclusions. Check out this *Los Angeles Times* article that makes the point that correlation does not imply causation. Then to drive the point home, visit the site that inspired the article, Spurious Correlations, to view a variety of amusing graphs showing two completely unrelated variables that just happen to be closely correlated.

Lesson 6: *Polynomials, Quadratic Equations, and Quadratic Functions*

Vi Hart’s video, “Doodling in math: Spirals, Fibonacci, and being a plant (1 of 3)”

Golden Spiral video

#### For help and extra practice with the concepts in this chapter:

For help with factoring quadratic equations

Solving quadratic equations using the quadratic formula

Solving quadratic equations using the square root property

Features of quadratic functions

Graphing quadratic functions

For a refresher on how to construct a square with straightedge and compass

For a refresher on how to construction a line perpendicular to an existing line

#### For fun and deeper exploration:

More on the legend of Newton and the falling apple

Additional Vi Hart videos (part 2 and part 3 of the “Doodling” series)

Lesson 7: *Personal Finance: Taxes and Interest*

NCTM Illuminations Compound Interest Simulator

#### For help and extra practice with the concepts in this chapter:

Percents explanations

Solving word problems with percentages

Calculating simple and compound interest

#### For fun and deeper exploration:

Find out more about incomprehensibly large numbers.

Lesson 8: *Personal Finance: Saving, Investing, and Spending*

How to Lie with Statistics, by Darrell Huff

Edmunds’ True Cost to Own

#### For help and extra practice with the concepts in this chapter:

#### For fun and deeper exploration:

Learn more about personal finance for teens at The Mint

Find out the real costs of owning a car as a teen

Lesson 9: *Measurement*

Khan Academy unit conversion section

More on converting units

Information on the history of the metric debate in the United States.

#### For fun and deeper exploration:

Lesson 10: *Geometry*

Math is Fun Reflectional Symmetry page

Math is Fun Rotational Symmetry page

Dr. James Tanton’s “Generating Pythagorean Triples” video

Escher Gallery

Tessellation Creator tool at the National Council of Teachers of Mathematics’ Illuminations site

Platonic Solids tool from the National Council of Teachers of Mathematics’ Illuminations site

Platonic Solids Models from Math is Fun

#### For help and extra practice with the concepts in this chapter:

Khan Academy Geometry section with dozens of applicable videos

Math is Fun main Geometry page with dozens of links to topic-specific articles

Graphing circles

#### For fun and deeper exploration:

If you enjoyed the Platonic Solids activity, explore the duals of the Platonic Solids with these videos

For more on tessellations, visit here, or try this app

Lesson 11: *Counting Methods and Probability Theory*

TED-Ed video by Yannay Khaikin

TED-Ed lesson, “The last banana – a thought experiment in probability,” by Leonardo Barichello

Ron Clarke’s Monty Hall problem video

Horizons’ Monty Hall problem video

Stay or Switch simulation tool

Marilyn vos Savant’s “Game Show Problem” solution and criticism from the public

#### For help and extra practice with the concepts in this chapter:

Watch video explanations and try practice problems with the Khan Academy Probability and Combinatorics lessons

Practice figuring out which counting method to use and try your hand at some problems with the Counting Methods Review and Self-Test

#### For fun and deeper exploration:

Try challenging counting methods problems at Brilliant.org

Try challenging probability problems at Brilliant.org

Play some probability games here and here

Learn about the origins of Probability as discovered by Blaise Pascal and Pierre de Fermat in solving the Problem of Points

Lesson 12: *Statistics*

“Hans Rosling’s 200 Countries, 200 Years, 4 Minutes”

#### For help and extra practice with the concepts in this chapter:

Videos on descriptive statistics, including the mean, median, mode, range, quartiles, and standard deviation

Explanations of the Normal Distribution and z-scores

#### For fun and deeper exploration:

Hans Rosling about world statistics, watch his 2014 TED talk, “How Not to Be Ignorant About the World.”

“Improving Human Welfare in 2013 International Year of Statistics,” presented by Worldofstatistics.org.

Lesson 13: *Logic*

“Guide to Common Fallacies Playlist” by PBS Idea Channel

Your Logical Fallacy

Colm Kellehar’s TED-Ed lesson, “Zeno’s Dichotomy Paradox”

Codebreaker game

Internet Encyclopedia of Philosophy’s fallacy page

Puzzle Baron’s Logic Puzzles

Puzzle Baron’s logic puzzle generator

#### For help and extra practice with the concepts in this chapter:

Math Goodies has a list of articles explaining various topics in symbolic logic from this chapter

Truth tables video explanation by ProfessorSerna

Activity A help: Additional worked example of a Lewis Carroll logic puzzle, as well as more challenging puzzles

Activity B help: Khan Academy logic videos and exercises. The validity and fallacy videos, in particular, may be helpful.

#### For fun and deeper exploration:

Lewis Carroll’s Paradox

Lewis Carroll’s book, *Symbolic Logic *(full text available online through Project Gutenberg)

The books *The Mathematical Recreations of Lewis Carroll: Pillow Problems and a Tangled Tale *by Lewis Carroll and C. L. Dodgson and *Lewis Carroll’s Games and Puzzles* by Lewis Carroll and Edward WakelingBrain teasers and puzzles

Brainden.com has several fantastic pages with brain teasers and logic puzzles. The river crossing puzzles tend to be a student favorite. Try this and this to start, but be sure to explore some of the other pages. Answers are hidden until you click them. Don’t peek until you are sure you are ready to know the answer!

Challenge puzzles and problems: Brilliant.org has a section with questions for all levels of logic. Quiz yourself on topics ranging from symbolic logic to games of strategy.

Grid-based logic puzzles:

Solve grid-based logic puzzles online or on an app

Learn about Euler’s Konigsberg Bridges Problem

An interview with Andrew Wiles, the mathematician who finally solved Fermat’s Last Theorem in 1993.

#### Recommended sites for general math help and practice (in no particular order):

http://www.ixl.com

http://www.purplemath.com

http://www.khanacademy.org

http://www.regentsprep.org

https://www.mathsisfun.com/

http://mathforum.org/dr.math/

#### Recommended sites for students ready for an additional challenge:

http://www.brilliant.org

https://www.youtube.com/user/Vihart

http://www.khanacademy.org

### Advanced Mathematics

#### Oak Meadow Lesson 1 (Textbook Lessons 1 – 4)

1: *Geometry Review*

Instructional Video: Points, Lines and Planes (collinear and coplanar points)

Instructional Video: Naming Angles

Reading Resource and Instructional Video: Angle basics and Angle Addition Postulate

Instructional Video: Segment Addition Postulate

Instructional Video with Practice Problems: Complementary and Supplementary Angles

Instructional Video: Linear Pairs and Vertical Angles

Practice Set: Identifying Complementary, Supplementary, and Vertical Angle Pairs

Instructional Video: Angle Relationships in Parallel Lines

Practice Set: Angle Relationships in Parallel Lines

Instructional Video: Classifying Triangles by Sides and Angles

Practice Set: Classifying Triangles by Sides and Angles

Instructional Video: Area and Circumference of Circles

Geogebra Demonstration: Area of a Circle

Instructional Video: Arc Length and Sector Area

Geogebra Investigation: Test Your Skills with Arc Length and Sector Area

2: *More on Area, Cylinders, Cones, Prisms, Pyramids, Spheres*

Instructional Video: Area and Perimeter of rectangles and squares

Instructional Video: Finding the Area of a Triangle

Practice Set: Finding the Area of a Triangle

Instructional Video: Surface Area and Volume of Prisms

Instructional Video: Surface Area and Volume of Cylinders

Instructional Video: Surface Area and Volume of Pyramids

Geogebra Demonstration: Volume of Pyramid is ⅓ Volume of Prism

Instructional Video: Surface Area and Volume of Cones

Instructional Video: Surface Areas and Volumes of Spheres

Geogebra Demonstration: Volume of a Sphere

3: *Pythagorean Theorem, Triangle Inequalities, Similar Polygons, Similar Triangles*

Instructional Video: Pythagorean Triples

Reading Resource: Pythagorean Triples

Instructional Video: Converse of the Pythagorean Theorem with Examples

Geogebra Investigation: Converse of the Pythagorean Theorem

Instructional Video: Polygon or Non-Polygon?

Instructional Video: Classifying Polygons

Geogebra Investigation: Regular Polygons

Instructional Video: Similar Polygon Overview and Solving for Missing Parts

Instructional Video: Using Geometric Mean with Right Triangles

4: *Constructions*

Instructional Video: Construction Duplicating Line Segments and Angles

Instructional Video: Construction Angle Bisector

Instructional Video: Constructing a Perpendicular Bisector

Instructional Video: Constructing Triangles

Instructional Video: Constructing Parallel Lines through a Given Point

#### Oak Meadow Lesson 2 (Textbook Lessons 5 – 8)

5: *Exponents and Radicals, Complex Numbers, Areas of Similar Geometric Figures, Diagonals of Rectangular Solids*

Instructional Video: Evaluating Fractional Exponents

Instructional Video: Simplifying More Complicated Expressions with Fractional Exponents

Instructional Video: Intro to i

Instructional Video: Intro to Complex Numbers

Practice Set: Intro to Complex Numbers

Instructional Video: Simplifying Radicals with i

Practice Set: Simplifying Roots of Negative Numbers

Instructional Video: Ratio of Perimeter and Area of Similar Figures

Instructional Video: Intro to the Pythagorean Theorem

Practice Set: Using the Pythagorean Theorem

Geogebra Investigation: Visual Proofs of the Pythagorean Theorem (book includes 4 activities)

6: *Fractional Equations, Radical Equations, Systems of Three Linear Equations*

Instructional Video: Solving Rational Equations 1

Instructional Video: Solving Rational Equations 2

Instructional Video: Solving Radical Equations 1

Instructional Video: Solving Radical Equations 2

Instructional Video: Solving Triple Systems

7: *Inductive and Deductive Reasoning, Logic, The Contrapositive, Converse and Inverse*

Instructional Video: Inductive Reasoning part 1

Instructional Video: Inductive Reasoning part 2

Reading Resource: Inductive Reasoning

Instructional Video: Conditional and Converse Statements

Instructional Video: Conjectures and Counterexamples

Instructional Video: Inverse and Contrapositive Statements

Instructional Video: Truth tables, conjunctions and disjunctions

8: *Statements of Similarity, Proportional Segments, Angle Bisectors and Side Ratios*

Instructional Video: Similarity Statements

Instructional Video: Using Proportions to Find Missing Sides of Similar Figures

Instructional Video: Using the Triangle Proportionality Theorem

Instructional Video: Transversal Proportionality Theorem

Instructional Video: Using the Angle Bisector Theorem

#### Oak Meadow Lesson 3 (Textbook Lessons 9-12)

9: *Congruent Figure, Proof Outlines*

Instructional Video: Triangle Congruence by SSS

Geogebra Investigation: SSS Demonstration

Instructional Video: SAS Congruence with Example Proof

Instructional Video: ASA vs. AAS

Quizlet Flashcards: ASA vs. AAS

Geogebra Investigation: Triangle Congruence Shortcuts

Instructional Video: Proof with ASA or AAS

Instructional Video: HL with proof examples

Instructional Video: Intro to Two-Column Proofs

10: *Equation of a Line, Rational Denominators, Completing the Square*

Instructional Video: Finding Slope from a graph

Instructional Video: Finding Slope from two points

Instructional Video: Writing Equations of Lines

Instructional Video: Graphing lines in y=mx+b form

Practice Set: Graphing lines

Instructional Video: Rationalizing Denominators

Instructional Video: Completing the Square

11: *Circles, Properties of Circles, the Quadratic Formula*

Instructional Video: Major Arcs, Minor Arcs, and Semicircles

Instructional Video: Congruent Arcs

Instructional Video: Arc Addition Postulate

Geogebra Investigation: Exploring Arcs and Angles

Instructional Video: Chord and Diameter Theorems

Geogebra Investigation: Chords, Secants, and Tangents

Geogebra Investigation: Diameters and Chords

Instructional Video: Inscribed Angles

Practice Set: Inscribed Angles

Geogebra Investigation: Inscribed Quadrilaterals

Instructional Video: Tangents and Circles

Geogebra Demonstration: Tangents to Circles

Instructional Video: Tangents and Chords

Geogebra Demonstration: Tangents and Chords

Instructional Video: Arcs and Angles Formed by Chords

Geogebra Investigation: Angles Formed by Chords

Instructional Video: Chord Lengths

Geogebra Demonstration: Chord Lengths

Instructional Video: The Quadratic Formula

12: *Angles and Diagonals in Polygons, Proof of the Chord-Tangent Theorem*

Instructional Video: Angles and Diagonals in Polygons

Geogebra Investigation: Exterior Angles in a Polygon

Instructional Video: Proof of the Inscribed Angle Theorem

Geogebra Investigation: Inscribed Angles

#### Oak Meadow Lesson 4 (Textbook Lessons 13-16)

13: *Intersecting Secants, Intersecting Secants and Tangents, Products of Chord Segments, Products of Secant and Tangent Segments*

Instructional Video: Arcs and Angles Formed by Chords

Geogebra Investigation: Angles Formed by Chords

Instructional Video: Intersecting Secants and Tangents

Instructional Video: Products of Chords, Secants, and Tangents

14: *Sine, Cosine, and Tangent, Angles of Elevation and Depression, Rectangular and Polar Coordinates, Coordinate Conversion*

Instructional Video: Intro to Trig Ratios

Geogebra Practice Set: Test Your Trig Ratio Skills

Instructional Video: Solving for Sides in a Right Triangle

Instructional Video: Solving Right Triangles with Inverse Trig Functions

Geogebra Practice Set: Test your skills with Inverse Trig Functions

Instructional Video: Angles of Elevation and Depression

Instructional Video: Word Problem Examples with Angles of Elevation and Depression

Geogebra Investigation: Angles of Elevation and Depression

Instructional Video: Polar Coordinates

Instructional Video: Convert Rectangular to Polar Coordinates

Instructional Video: Convert Polar to Rectangular Coordinates

15: *Assumptions, Proofs*

Instructional Video: Intro to Two-Column Proofs

Instructional Video: Flowchart and Paragraph Proofs

Instructional Video: Additional Example of a Two-Column Proof

Instructional Video: Additional Example of SAS Proof

16: *Complex Fractions, Abstract Equations, Division of Polynomials*

Instructional Video: Simplifying Complex Fractions 1

Instructional Video: Simplifying Complex Fractions 2

Instructional Video: Simplifying Complex Fractions 3

Instructional Video: Solving Abstract Equations

Instructional Video: Intro to Polynomial Division

Instructional Video: Polynomial Division with Placeholders and Remainders

Practice Set: Polynomial Division

#### Oak Meadow Lesson 5 (Textbook Lessons 17-20)

17: *Proofs of the Pythagorean Theorem, Proofs of Similarity*

Instructional Video: Proofs of the Pythagorean Theorem

Instructional Video: Triangle Similarity Theorems

Practice Set: Determining Similar Triangles

Instructional Video: Example of a Two-Column Triangle Similarity Proof

18: *Advanced Word Problems*

Instructional Video: Triple System Word Problems

Instructional Video: Inverse Variation Word Problems

Instructional Video: Mixture Word Problem 1

Instructional Video: Mixture Word Problem 2

19: *Nonlinear Systems, Factoring Exponentials, Sum and Difference of Two Cubes*

Instructional Video: Nonlinear Systems 1

Instructional Video: Nonlinear Systems 2

Instructional Video: Difference of Two Squares

Practice Set: Difference of Two Squares

Instructional Video: Sum of Two Cubes

Instructional Video: Difference of Two Cubes

20: *Two Special Triangles*

Instructional Video: 45-45-90 Triangles

Instructional Video: 45-45-90 Examples

Geogebra Investigation: 45-45-90 Triangles

Instructional Video: 30-60-90 Triangles

Instructional Video: 30-60-90 Examples

Geogebra Investigation: 30-60-90 Triangles

#### Oak Meadow Lesson 6 (Textbook Lessons 21-24)

21: *Evaluating Functions, Domain and Range, Types of Functions, Tests for Functions*

Instructional Video: Evaluating Functions

Instructional Video: Domain and Range Examples

Instructional Video: Set Notation

Instructional Video: What is a Function?

Instructional Video: Vertical and Horizontal Line Tests

22: *Absolute Value, Reciprocal Functions*

Instructional Video: Intro to Absolute Value

Instructional Video: Matching Number Lines to Absolute Value Inequalities

Instructional Video: Graphs of Reciprocal Functions

23: *The Exponential Function, Sketching Exponentials*

Instructional Video: Intro to Exponential Functions

Instructional Video: Graphing Exponential Functions

Geogebra Investigation: Graphs of Exponential Functions

24: *Sums of Trigonometric Functions, Combining Functions*

Instructional Video: Trig Functions in Special Right Triangles

Instructional Video: Combining Functions

Instructional Video: Composition of Functions

#### Oak Meadow Lesson 7 (Textbook Lessons 25-28)

25: *Age Problems, Rate Problems*

Instructional Video: Age Problem

Instructional Video: Rate Problem 1

Instructional Video: Rate Problem 2

26: *The Logarithmic Form of the Exponential, Logarithmic Equations*

Instructional Video: Converting between Logarithmic and Exponential Form

Instructional Video: Solving Logarithmic Equations

27: *Related Angles, Signs of Trigonometric Functions*

Instructional Video: Related Angles (focus on examples in degrees only)

Instructional Video: Signs of Trig Functions

28: *Factorial Notation, Abstract Rate Problems*

Instructional Video: Factorials

Instructional Video: Abstract Rate Problems

#### Oak Meadow Lesson 8 (Textbook Lessons 29-32)

29: *The Unit Circle, Very Large and Very Small Fractions, Quadrantal Angles*

Instructional Video: Unit Circle Basics

Instructional Video: Quadrantal Angles

30: *Adding Vectors, Overlapping Triangles*

Instructional Video: Adding Vectors

Instructional Video: Proofs with Overlapping Triangles

31: *Symmetry, Reflections, Translations*

Instructional Video: Functional Symmetry

Instructional Video: Reflections of Functions

Instructional Video: Translations of Functions

Geogebra Investiga: Transformations of Functions

32: *Inverse Functions, Four Quadrant Signs, Inverse Trigonometric Functions*

Instructional Video: Intro to Inverse Functions

Instructional Video: Finding an Inverse Algebraically

Instructional Video: Four Quadrant Signs

Instructional Video: Intro to Inverse Sine

Instructional Video: Intro to Inverse Cosine

Instructional Video: Intro to Inverse Tangent

Instructional Video: Additional Inverse Trig Examples

Practice Set: Inverse Trig Functions

#### Oak Meadow Lesson 9 (Textbook Lesson 33-36)

33: *Quadrilaterals, Properties of Parallelograms, Types of Parallelograms, Conditions for Parallelograms, Trapezoids*

Instructional Video: Introduction to Quadrilaterals

Practice Set: Identifying Quadrilaterals

Instructional Video: Properties of Parallelograms

Geogebra Investigation: Properties of Parallelograms

Geogebra Investigation: Properties of Parallelograms 2

Instructional Video: Properties of Rectangles

Geogebra Demonstration: Rectangle Properties

Instructional Video: Properties of Squares

Geogebra Demonstration: Square Properties

Instructional Video: Properties of Rhombuses

Geogebra Demonstration: Rhombus Properties

Instructional Video: Showing a Quadrilateral is a Parallelogram

Reading Resource: Properties of Parallelograms

Instructional Video with Practice Set: Quadrilateral Hierarchy

Instructional Video: Properties of Isosceles Trapezoids

Instructional Video: Examples of Trapezoid Midsegment Theorem

Geogebra Investigation: Isosceles Trapezoid Properties

34: *Summation Notation, Linear Regression, Decomposing Functions*

Instructional Video: Summation Notation

Practice Set: Summation Notation

Instructional Video: Intro to Linear Regression

Instructional Video: Linear Regression

Instructional Video: Decomposing Functions

35: *Change in Coordinates, The Name of a Number, The Distance Formula*

Instructional Video: Directed Distance

Instructional Video: Using the Distance Formula

36: *Angles Greater than 360, Sums of Trigonometric Functions, Boat in the River Problems*

Instructional Video: Angles Greater than 360 Intro

Instructional Video: Finding Exact Values of Trig Functions

Instructional Video: Boat in the River Problems

#### Oak Meadow Lesson 10 (Textbook Lessons 37-40)

37: *The Line as a Locus, The Midpoint Formula*

Instructional Video: The Line as a Locus

Instructional Video with Practice Problems: Finding Midpoints

38: *Fundamental Counting Principle and Permutations, Designated Roots, Overall Average Rate*

Instructional Video: Fundamental Counting Principle and Permutations

Instructional Video: Designated Roots

Instructional Video: Overall Average Rate

39: *Radian Measure of Angles, Forms of Linear Equations*

Instructional Video: Intro to Radians

Instructional Video: Converting Between Degrees and Radians

Practice Set: Converting Radians and Degrees

Instructional Video: Radian Angles in Quadrants

Practice Set: Radians in the Unit Circle

Instructional Video: Forms of Linear Equations (Standard/General, slope-intercept, point-slope)

Instructional Video: Double Intercept Form of a Line

Practice Set: Linear Equations

40: *The Argument in Mathematics, The Laws of Logarithms, Properties of Inverse Functions*

Instructional Video: The Argument

Instructional Video: Properties of Logs

Instructional Video: Verifying Inverse Functions

#### Oak Meadow Lesson 11 (Textbook Lessons 41-44)

41: *Reciprocal Trigonometric Functions, Permutation Notation*

Instructional Video: Reciprocal Trig Functions

Instructional Video: Evaluating Reciprocal Trig Functions

Instructional Video: Permutation Notation

42: *Conic Sections, Circles, Constants in Exponential Functions*

Instructional Video: Intro to Conic Sections

Instructional Video: Writing an Equation of a Circle from a Graph

Instructional Video: Graphing a Circle from its Equation

Practice Set: Graph a Circle from its Equation

Geogebra Investigation: Relating a Circle and its Equation

Instructional Video: Graphing Exponential Functions

43: *Periodic Functions, Graphs of sin and cos*

Instructional Video: Intro to Periodic Functions

Instructional Video: Graphs of sin and cos

Instructional Video: Graphs of sin and cos with Amplitude and Period (focus on Amplitude)

Geogebra Investigation: Amplitude of Sine and Cosine

44: *Abstract Rate Problems*

Instructional Video: Rate Problems from Textbook

#### Oak Meadow Lesson 12 (Textbook Lessons 45-48)

45: *Conditional Permutations, Two-Variable Analysis Using a Graphing Calculator*

Instructional Video: Conditional Permutations

Instructional Video: Linear Regression on a TI84 Graphing Calculator

46: *Complex Roots, Factoring Over the Complex Numbers*

Instructional Video: Writing Equations Given Complex Roots

Instructional Video: Solving Quadratics with Complex Roots

Practice Set: Solving Quadratics with Complex Roots

47: *Vertical Sinusoid Translations, Arctan*

Instructional Video: Horizontal and Vertical Transformation of Sin and Cos (focus on vertical)

Instructional Video: Vertical Transformation of Sin and Cos

Geogebra Investigation: Amplitude and Vertical Translation of Sine and Cosine

Instructional Video: Arctan Example

48: *Powers of Trigonometric Functions, Perpendicular Bisectors*

Instructional Video: Powers of Trig Functions

Instructional Video: Perpendicular Bisector

#### Oak Meadow Lesson 13 (Textbook Lessons 49-52)

49: *The Logarithmic Function, Development of the Rules for Logarithms*

Instructional Video: Intro to Log Graphs

Instructional Video: Proofs of Log Properties

50: *Trigonometric Equations*

Instructional Video: Solving Trig Equations *Ignore the +2n part of the solution for now

51: *Common Logarithms and Natural Logarithms*

Instructional Video: Common vs. Natural Log

52: *The Inviolable Argument, Arguments in Trigonometric Equations*

Instructional Video: The Inviolable Argument

Instructional Video: Arguments in Trig Equations

#### Oak Meadow Lesson 14 (Textbook Lessons 53-56)

53: *Review of Unit Multipliers, Angular Velocity*

Instructional Video: Unit Multipliers

Instructional Video: Linear and Angular Velocity

Instructional Video: Angular Velocity Example

54: *Parabolas*

Instructional Video: Parabola Vertex and Axis of Symmetry

Practice Set: Properties of Parabolas

Instructional Video: Graphing by Completing the Square with Negative Coefficient

Instructional Video: Graphing by Completing the Square with a>1

55: *Circular Permutations, Distinguishable Permutations*

Instructional Video: Linear and Circular Permutations

Instructional Video: Distinguishable Permutations

56: *Triangular Areas, Areas of Segments, Systems of Inequalities*

Instructional Video: Area of Triangles

Instructional Video: Area of a Trapezoid

Practice Set: Finding Area of a Trapezoid

Instructional Video: Area of Sectors and Segments in Circles

Instructional Video: Systems of Linear and Quadratic Inequalities

Instructional Video: Systems of Linear and Circle Inequalities

#### Oak Meadow Lesson 15 (Textbook Lessons 57-60)

57: *Phase Shifts in Sinusoids, Period of a Sinusoid*

Instructional Video: Phase Shifts

Instructional Video: Period, Amplitude and Phase Shift

Geogebra Investigation: Transformations of a sine graph

58: *Distance From a Point to a Line, Narrow and Wide Parabolas*

Instructional Video: Distance Between a Point and a Line

Practice Set: Distance Between a Point and a Line

Instructional Video: How Leading Coefficient Affects Shape of Parabola

Instructional Video: Graphing Parabola with Leading Coefficient

59: *Advanced Logarithm Problems, The Color of the White House*

Instructional Video: Solving Log Equations

Instructional Video: Solving Log Equations 2

Instructional Video: “Color of the White House” Problems

60: *Factorable Trigonometric Equations, Loss of Solutions Caused by Division*

Instructional Video: Factoring Trig Equations GCF

#### Oak Meadow Lesson 16 (Textbook Lessons 61-64)

61: *Single Variable Analysis, The Normal Distribution, Box and Whisker Plots*

Instructional Video: Standard Deviation

Instructional Video: Into to Normal Distribution

Instructional Video: Constructing Box and Whisker Plots

Instructional Video: Reading Box and Whisker Plots

Instructional Video: Interpreting Box and Whisker Plots

62: *Abstract Coefficients, Linear Variation*

Instructional Video: Abstract Coefficients and Linear Variation

63: *Circles and Completing the Square*

Instructional Video: Circles and Completing the Square

64: *The Complex Plane, Polar Form of a Complex Number, Sums and Products of Complex Numbers*

Instructional Video: The Complex Plane

Instructional Video: Polar Form of a Complex Number

Instructional Video: Sums and Products of Complex Numbers (complete Saxon lesson)

#### Oak Meadow Lesson 17 (Textbook Lessons 65-68)

65: *Radicals in Trigonometric Equations, Graphs of Logarithmic Functions*

Instructional Video: Trig Equation with Radical

Instructional Video: Graphs of Log Functions

66: *Formulas for Systems of Equations, Phase Shifts and Period Changes*

Instructional Video: Formula for Systems of Equations with Phase Shifts and Period Changes

67: *Antilogarithms*

Instructional Video: Antilogarithm on a Graphing Calculator

Instruction Video: Antilogarithm on Scientific Calculator

68:* Locus Definition of a Parabola, Translate Parabolas, Applications, Derivation*

Instructional Video: Locus of a Parabola

Instructional Video: Finding Focus and Directrix from Equation

Instructional Video: Finding Equation of Parabola given Vertex and Focus

#### Oak Meadow Lesson 18 (Textbook Lessons 69-72)

69: *Matrices, Determinants*

Instructional Video: Intro to Matrices

Instructional Video: Determinants 2×2

70: *Percentiles and Z Scores*

Instructional Video: Percentiles and Z Scores

71: *The Ellipse (1)*

Instructional Video: Ellipses

Practice Set: Ellipses

72: *One Side Plus Two Other Parts, Law of Sines*

Instructional Video: Law of Sines Solving for a Side

Instructional Video: Law of Sines Solving for an Angle

Practice Set: Law of Sines

#### Oak Meadow Lesson 19 (Textbook Lessons 73-76)

73: *Regular Polygons*

Instructional Video: Perimeter and Area of Regular Polygons

74: *Cramer’s Rule*

Instructional Video: Cramer’s Rule

75: *Combinations*

Instructional Video: Intro to Combinations

Instructional Video: Combination Formula

Practice Set: Combinations

76: *Functions of (-x), Functions of the Other Angle, Trigonometric Identities (1), Rules of the Game*

Instructional Video: Even and Odd Functions (Trig)

Instructional Video: Complementary Angles (Trig)

Instructional Video: Verifying Trig Identities

#### Oak Meadow Lesson 20 (Textbook Lessons 77-80)

77: *Binomial Expansions (1)*

Instructional Video: Binomial Expansion

78: *The Hyperbola*

Instructional Video: Hyperbola

79: *De Moivre’s Theorem, Roots of Complex Numbers*

Instructional Video: De Moivre’s Theorem

Instructional Video: Roots of Complex Numbers

80: *Trigonometric Identities (2)*

Instructional Video: Pythagorean Trig Identities

Instructional Video: Verifying Trig Identities

#### Oak Meadow Lesson 21 (Textbook Lessons 81-84)

81: *Law of Cosines*

Instructional Video: Solving for a Side with the Law of Cosines

Instructional Video: Solving for an Angle with the Law of Cosines

Practice Set: Law of Cosines

Instructional Video: Some Examples Using Law of Sines and Cosines

82: *Taking the Logarithm of, Exponential Equations*

Instructional Video: Solving Exponential Equations with Logs

83:* Simple Probability, Independent Events, Replacement*

Instructional Video: Simple Probability

Instructional Video: Independent Events

Instructional Video: Examples with and without Replacement

84: *Factorable Expressions, Sketching Sinusoidals*

Instructional Video: Verifying Identities with Factoring 1

Instructional Video: Verifying Identities with Factoring 2

Instructional Video: Graphing Sine and Cosine

#### Oak Meadow Lesson 22 (Textbook Lessons 85-88)

85: *Advanced Trigonometric Equations, Clock Problems*

Instructional Video: Advanced Trig Equations

Instructional Video: Clock Problems

86: *Arithmetic Progressions and Arithmetic Means*

Instructional Video: Arithmetic Sequences

Instructional Video: Arithmetic Means

87: *Sum and Difference Identities, Tangent Identities*

Instructional Video: Sum and Difference of all Three Trig Functions with Examples

88: *Exponential Functions (Growth and Decay)*

Instructional Video: Exponential Decay

Instructional Video: Half-Life Applications

#### Oak Meadow Lesson 23 (Textbook Lessons 89-92)

89: *The Ellipse (2)*

Instructional Video: Write Equation Given Vertices and Foci

Instructional Video: Write Equation Given Axes and Center

90: *Double Angle Identities, Half Angle Identities*

Instructional Video: Half and Double Angle Identities

Instructional Video: Half and Double Angle Additional Examples

91: *Geometric Progressions*

Instructional Video: Geometric Sequences

Instructional Video: Finding Geometric Means

Practice Set: Geometric Sequences

92: *Probability of Either, Notations for Permutations and Combinations*

Instructional Video: Mutually Exclusive Events

Instructional Video: Permutations and Combinations

#### Oak Meadow Lesson 24 (Textbook Lessons 93-96)

93: *Advanced Trigonometric Identities, Triangle Inequalities (2)*

Instructional Video: Verifying Advanced Trig Identities

Instructional Video: Converse of the Pythagorean Theorem with Examples

Geogebra Investigation: Converse of the Pythagorean Theorem

94: *Graphs of Secant and Cosecant, Graphs of Tangent and Cotangent*

Instructional Video: Secant and Cosecant Graphs

Instructional Video: Graphs of Tangent and Cotangent

95: *Advanced Complex Roots*

Instructional Video: Advanced Complex Roots

96: *More Double Angle Identities, Triangle Area Formula, Proof of the Law of Sines, Equal Angles Imply Proportional Sides*

Instructional Video: Area of a Triangle Using Sine

Instructional Video: Proof of the Law of Sines

#### Oak Meadow Lesson 25 (Textbook Lessons 97-100)

97: *The Ambiguous Case*

Instructional Video: Law of Sines the Ambiguous Case

98: *Change of Base, Contrived Logarithm Problems*

Instructional Video: Change of Base Formula

Practice Set: Change of Base

Instructional Video: Contrived Log Problems

99: *Sequence Notations, Advanced Sequence Problems, The Arithmetic and Geometric Means*

Instructional Video: Sequence Notation and Sequence Problems

Instructional Video: Arithmetic and Geometric Means

100: *Product Identities, More Sum and Difference Identities*

Instructional Video: Product Identities

Instructional Video: More Sum and Difference Identities

#### Oak Meadow Lesson 26 (Textbook Lessons 101-104)

101: *Zero Determinants, 3×3 Determinants, Determinant Solutions of 3×3 Systems, Independent Equations*

Instructional Video: Zero Determinants

Instructional Video: 3×3 Determinants

Instructional Video: Determinant of a 3×3 Matrix (standard)

Instructional Video: Determinant of 3×3 Matrix (shortcut)

Practice Set: 3×3 Determinants

102: *Binomial Expansions (2)*

Instructional Video: More Examples of Binomial Expansion

103: *Calculations with Logarithms, Power of the Hydrogen*

Instructional Video: Expanding and Condensing Logarithms

Instructional Video: Power of Hydrogen

104: *Arithmetic Series, Geometric Series*

Instructional Video: Arithmetic Series

Instructional Video: Geometric Series

#### Oak Meadow Lesson 27 (Textbook Lessons 105-108)

105: *Cofactors, Expansion by Cofactors*

Instructional Video: Finding Cofactors

Instructional Video: Expansion by Cofactors

106: *Translations of Conic Sections, Equations of the Ellipse, Equations of the Hyperbola*

Instructional Video: Translations of Conic Sections

Instructional Video: Converting Ellipse from General Form to Standard Form

Instructional Video: Converting Hyperbola from General Form to Standard Form

107: *Convergent Geometric Series*

Instructional Video: Sum of an Infinite Geometric Series

108: *Matrix Addition and Multiplication*

Instructional Video: Adding and Subtracting Matrices

Instructional Video: Multiplying Matrices

Practice Set: Multiplying Matrices

#### Oak Meadow Lesson 28 (Textbook Lessons 109-112)

109: *Rational Numbers*

Instructional Video: Rational Numbers to Fractions Using Convergent Geometric Series

110: *Graphs of Arcsin and Arccosine, Graphs of Arsecant and Arccosecant, Graphs of Arctangent and Arccotangent*

Instructional Video: Graphs of Inverse Trig Functions

Instructional Video: Graphs of Inverse Trig Functions (Another Explantation)

111: *Logarithmic Inequalities: Base Greater Than 1, Logarithmic Inequalities: Base Less Than 1*

Instructional Video: Log Inequalities Base Greater Than 1

112: *Binomial Theorem*

Instructional Video: Finding a Specific Term in a Binomial Expansion

#### Oak Meadow Lesson 29 (Textbook Lessons 113-116)

113: *Synthetic Division, Zeros and Roots*

Instructional Video: Synthetic Division

Instructional Video: More Synthetic Division

114: *Graphs of Factored Polynomial Functions*

Instructional Video: Graphing Functions in Factored Form

Instructional Video: Additional Example

115: *The Remainder Theorem*

Instructional Video: Intro to the Remainder Theorem

Practice Set: Remainder Theorem

116: *The Region of Interest*

Instructional Video: Features of Polynomial Graphs

#### Oak Meadow Lesson 30 (Textbook Lessons 117-120)

117: *Prime and Relatively Prime Numbers, Rational Roots Theorem*

Instructional Video: Prime and Relatively Prime Numbers

Instructional Video: Rational Roots Theorem

118: *Roots of Polynomial Equations*

Instructional Video: Roots of Polynomials

119: *Descartes’ Rule of Signs, Upper and Lower Bound Theorem, Irrational Roots*

Instructional Video: Descartes’ Rule of Signs

Instructional Video: Upper and Lower Bound Theorem

120: *Matrix Algebra, Finding Inverse Matrices*

Instructional Video: Solving Systems of Equations with Matrices

Instructional Video: Finding the Inverse of a 2×2 Matrix

#### Oak Meadow Lesson 31 (Textbook Lessons 121-125)

121: *Piecewise Functions, Greatest Integer Function*

Instructional Video: Graphing Piecewise Functions 1

Instructional Video: Graphing Piecewise Functions 2

Instructional Video: Greatest Integer Function

122: *Graphs of Rational Functions, Graphs That Contain Holes*

Instructional Video: Graphs of Rational Functions

Instructional Video: Graphs that Contain Holes

123: *The General Conic Equation*

Instructional Video: Graphing Hyperbola

124: *Point of Division Formulas*

Instructional Video: Point of Division Formulas