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
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