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MATHEMATICS Review the place value for each digit in a series of numbers of different sizes up through a place value of one million. Start with one or two digit numerals, and proceed all the way up to a seven-digit numeral. Moving from right to left, the columns are as follows: ones, tens, hundreds, thousands, ten thousands, hundred thousands, and millions. Continue to review the times tables. Move on to the 6, 7, 8, 9, 10, 11, and 12 times tables if your child is ready. Don’t panic if this memorization is going a little slowly - just keep periodically reviewing all the tables throughout the year. As part of reviewing times tables, practice simple division (6 x 7 = 42, so 42 ÷ 7 = 6 and 42 ÷ 6 = 7). Use a variety of the approaches that have already been described, or make up your own. For every times table your child knows, he or she should practice the related division. In conjunction with Geometry in Nature for Science, look for circles, triangles, squares, and other geometric forms in the world around you. Draw them either directly in the Science Main Lesson Book or on a separate paper to be placed in the Main Lesson Book. Continue working on telling time with your child. Use the sample clocks given previously, story problems in this week’s lesson, and daily “real life” opportunities. Do story problems to practice all the math you and your child have done so far this year. In addition to completing the problems that are provided, we suggest that students compose five of their own story problems, illustrate them, and solve them. So far you have reviewed place value through one million, adding and subtracting without carrying and borrowing, times tables, and simple division. Find ways to use these in a variety of story problems. PRACTICE FOR TELLING TIME: Use a clock to figure the answers to these problems. Jim came at 6:15. He was ten minutes late. What time should he have been there? I was 35 minutes late. I was supposed to arrive at 1:30. What time did the clock say when I actually got there? Peter was supposed to arrive at 3:00 but he was 25 minutes early. What time did he arrive? On a clock face, show 10 minutes past 1. Joanie was 15 minutes late. Now it’s 4:40 and she is just walking in. When was she supposed to be here? It takes 20 minutes to get to the theater. The film starts at 7:00, and we want to arrive 15 minutes early. When should we leave? If it’s 8:30 now and I have to be somewhere at 9:15, how much time do I have? Show 12:35 on a clock face. Show 4:45 on a clock face. Larry has a Karate lesson in 2½ hours, at 3:00. What time is it now? The concert was scheduled for 4 hours and 20 minutes before midnight. What time was the concert? Becky waited for 45 minutes while her friend had a guitar lesson. The lesson started at 5:45. When was it over? TIMES TABLE PRACTICE: Take a full deck of cards and shuffle it. Divide it evenly between two players. An Ace is worth 1, all number cards carry their own value, a Jack is 11, Queen 12, and you can either remove the King, value it as 13, or value it as any number you choose. If your child is struggling to learn the 7 times table, you could assign the King a value of 7 for the sake of extra practice. Each player turns up a card. Whoever has the smaller number (or the bigger number - you decide each time you play) must multiply the two numbers. Run through the entire deck in this fashion. If you take the time to play this game with your child consistently, once a day or once every other day, you will be amazed at how quickly the times tables will be memorized. It needn’t take a long time at any one sitting, but the regular drill makes a real difference. PRACTICE MULTIPLYING AND DIVIDING: Complete the attached worksheet. STORY PROBLEMS: Spread these out through the week. Show your figuring in the Main Lesson Book. David liked to watch trains go by and to count how many cars they had. One day he saw 3 trains. One had 12 cars, and another had 23 cars. The third one had 34 cars. How many train cars did he see on that day? Jennifer visited a farm and saw many rows of corn. In one field there were 22 rows, and in another there were 47 rows. How many rows of corn were there altogether? Peter and Tim are trading baseball cards. Tim has 159 cards, and gives 44 of them to Peter. How many does Tim have now? Peter has 185 baseball cards and gives 43 of them to Tim. Now how many cards does Peter have? Mary has exactly enough money to buy four pencils. Each pencil costs 12¢. How many cents does she have? John saved cans for recycling. One month he saved 52 cans. Another month he saved 41 cans. His neighbors gave him 63 cans. How many cans did John have then? Each car of a train can carry 8 trucks. There are 6 train cars. How many trucks is the train carrying? The same train is also carrying motorcycles. It has 9 motorcycles in each compartment, and there are 9 compartments that are all full. How many motorcycles are there on the train? There were 885 chickens on the train when it left the station. 55 chickens escaped. How many are left? The train traveled 62 miles during the first hour. The second hour, it went 65 miles. During the third hour it went 72 miles. After three hours, how far had it gone? In the fourth hour, the train went 77 miles. How many more miles did it travel during the 4th hour than during the first hour? How many more than during the second and third hour? PLACE VALUE PRACTICE: In 12,456, what number is in the ten thousands place? In which place is the 7 in 37,529? Write a number with 2 in the ten thousands place, 3 in the thousands place, and 4 in the hundreds place. In 100,593, what number is in the hundred thousands place? In which place is the 5 in 5,333,961? In which places are the 4s in 4,340,394? Write this number in words: 35,233 Write this number in words: 2,387,700 In digits, write the number two hundred and fifty thousand, seven hundred and twenty-five. In digits, write the number eight million, four hundred and twenty-two thousand, eight hundred. SKIP COUNTING PRACTICE: 3, 6, _____, 12, _____, 18, _____, _____, 27, _____ 90, 80, 70, _____, _____, _____, 30, _____, _____, 0 2, 7, 12, _____, 22, _____, 32, _____, _____, 47, _____ 115, 110, _____, _____, 95, _____, _____, 80, 85, _____ 62, _____, 82, _____, _____, 112, _____, 132, _____, 152