Lesson 1 Number Sense- How do you know that the quotient 42/6 must be greater than the quotient 36/6? E.Y.T- Explain why an odd number cannot be a 6s count-by? Investigate Math- How can you use the fact that 9x6 is equal to 54 to find the product 9x12?

Lesson 2 Draw a Picture Which of these rectangles has a greater area? Rectangle A:length of 5 in., width of 4 in.; Rectangle B:length of 8 in., width of 2 in. Draw a picture to help explain how you know. Summarize- Explain how you would find the area of a classroom floor. EYT- Explain how you would find the area of your footprint.

Lesson 3 E Y T - A student wrote 48 / 8 = 8. Is the quotient correct? Explain how you can check by multiplying. Choose a Strategy- Which 8s multiplication is hardest for you to remember? What strategy do you use to help you remember it? Investigate Math- How can you use the fact that 56 / 8 is equal to 7 to find the quotient 112 / 8?

Lesson 4 E Y T - How is an array problem different from a repeated-group problem? Same Numbers, Different Operations- How can you rewrite a multiplication word problem as a division word problem? Give an example. Summarize- Explain how you know if a word problem is an array, repeated-groups, or area problem.

Lesson 5 Describe a Strategy - Explain how to use a multiplication you know to find 6 x 7. Choose a Strategy- What strategies can you use to help you find multiplications you don’t remember? Different Ways- Suppose that the “7” key on your calculator is broken. Describe two different ways you could use your calculator to find 7 x 6.

Lesson 6 Draw a Picture - Draw a picture to show 3 items that are alike and another picture to show 4 times as many of these items. Explain how you knew how many items to draw for “4 times as many.” Summarize- Explain how the statements “Michael has 8 times as many books as Angie” and “Angie has 1/8 as many books as Michael” are related. Investigate Math- Suppose you find 4 times a number and then you find 1/4 of the answer. What number do you get? Explain.

Lesson 7 E Y T - Explain how to compare 16 cubes and 4 cubes using “times as many” and a fraction Draw a Picture- Explain how to draw a picture to show that one Comparison Bar is 1/4 as long as another bar. Summarize- Explain how to solve this problem: Erin read 3 times as many books as Kevin read. Kevin read 1/2 as many books as Juan. Juan read 12 books. Who read the most books?

Lesson 8 Summarize - Explain why numbers like 1, 4, 9, and 16 are called square numbers. E Y T - Explain a strategy that will help you remember the multiplications for square numbers. Critical Thinking- Is the product of 9 and a number the same as twice the product of 3 and that number? Explain why or why not.

Lesson 9 Understanding Multiplication - Explain a strategy you can use to find the product of 8 x 7. E Y T - Suppose you do not know the product of 6 x 8. Explain two different strategies that could help you find the product. Investigate Math- Naomi wrote 11 x (7 +5) to help find the product of 11 x 12. Explain how Naomi could use the other number sentences to find the product.

Lesson 10 Choose the Operation - Write a list of words that tell you to multiply in a word problem. Then write a list of words that tell you to divide. E Y T - Thelma uses beads to make earrings. She uses the same number of beads to make each earring. Which operation would Thelma use to find how many earrings she could make? Explain. You Decide- Can every word problem that can be solved by adding also be solved by multiplying? Give an example.

Lesson 11 E Y T - Explain the steps you would take to solve 5 x (7-3)= _. Use words like first, next, and then. You Decide - The Puzzled Penguin solved x 7 = 56. Is he correct? Explain why or why not. Compare- How is finding the product of 26 x 7 the same as finding the product of 6 x 7? How is it different?

Lesson 12 E Y T - What kinds of word problems might a carpenter have to solve? Give 2 examples. Summarize - Write about two or three different strategies you can use to solve a complex word problem. Justify- Explain why the order of steps is important in solving a multi-step problem.

Lesson 13 E Y T - Think of a game you play. Write about how addition, subtraction, multiplication, and division are used to play the game. Summarize - Write a strategy you know for finding the answer to any multiplication or division. Investigate Math- Explain why you can guess the number chosen by a friend if the friend multiplies the number by 5 and then multiplies that result by 2.

Lesson 14 The square of 1 - Find the square number for 1. Take the answer and find the square of that number. If you keep doing that will you ever get an answer greater than 1? Explain. Using Square Numbers - Write about a time when you might want to find the square of a number. Number Pattern- Make a list of square numbers starting with the square of 1 and ending with the square of 9. Describe the pattern in differences between one square number and the next.