Lesson 1 Number and Operations in Base Ten Name Use Base Ten Blocks to model the division sentence and the sentence for the related division by a multiple of 10. Write each division problem. 1. = = Using Base Ten Blocks, model each division problem. Then sketch your model for the division by a multiple of 10. Write each division sentence. 2. 21 3 21 3 = 30 = 3. 32 4 32 4 = 40 = Find each quotient. 4. 18 2 = 5. 35 5 = 6. 27 3 = 180 20 = 350 50 = 270 30 = 40
Name Challenge! Explain why you can use a simpler problem to find the quotient when both the dividend and the divisor are multiples of 10. 41
Lesson 2 Number and Operations in Base Ten Name Use Base Ten Blocks to build each number. Write the number in expanded form and standard form. 1. 2. + + + + + + Build the number using Base Ten Blocks. Then sketch the model for the number. Write the number in standard form. 3. six thousand, three hundred twenty-one Write each number in the forms named. 4. 3,805 expanded form + + + word form 5. 9,268 expanded form + + + word form 6. one thousand, seven hundred fifty-three expanded form + + + 44 standard form
Name Challenge! Explain why you write a 0 in a place value while changing a number given as words into a number written in standard form. Draw a model to help. 45
Lesson 3 Number and Operations in Base Ten Name Use Base Ten Blocks to build each number. Write an inequality using <, =, or > that compares the numbers. 1. 2. Use Base Ten Blocks to build the numbers. Sketch the models in a Place- Value Chart. Complete the inequality. 3. 7,479 and 7,794 Thousands Hundreds Tens Ones Use <, =, or > to complete each inequality. 4. 4,116 6,004 7. 3,181 2,081 5. 1,087 1,078 8. 863 836 6. 4,653 5,643 9. 9,104 9,140 48
Name Challenge! Explain why when comparing two numbers, you work from left to right. Draw a picture to help. 49
Lesson 4 Number and Operations in Base Ten Name Use Base Ten Blocks to build each expression. Write the multiplication expression and product. 1. 2. 3. = = = Build each problem using Base Ten Blocks. Sketch the model in a Place-Value Chart. Regroup as needed. Write the product. 4. 245 3 = Thousands Hundreds Tens Ones 5. 2,124 2 = Thousands Hundreds Tens Ones Find each product. 6. 38 5 = 9. 1,560 2 = 7. 16 4 = 10. 132 6 = 8. 221 3 = 11. 117 4 = 52
Name Challenge! How many of each Base Ten Block do you have before regrouping when you multiply 46 3? Explain how to regroup to write the product. Draw a picture to help. 53
Lesson 5 Number and Operations in Base Ten Name Use Base Ten Blocks to build each model. Add blocks to complete the product. Complete the grid. Write each multiplication sentence. 1. 2. = = Build each problem and product using Base Ten Blocks. Then sketch the model. Write the product. 3. 32 12 = 4. 45 17 = Find each product. 5. 52 11 = 6. 38 17 = 7. 24 21 = 8. 22 34 = 9. 16 19 = 10. 41 14 = 56
Name Challenge! Name the Base Ten Blocks you would use to build the model for Problem 9. Explain the exchanges you made to name the product. Draw a picture to help. 57
Lesson 6 Number and Operations in Base Ten Name Use Base Ten Blocks to build each model. Exchange and group the blocks to find each quotient. Complete each division sentence. 1. 2. 9 3 = = Name any remainder: Name any remainder: Using Base Ten Blocks, build the numbers. Then sketch the model. Find each quotient. Name any remainder. 3. 75 5 4. 84 5 Quotient Remainder: Quotient Remainder: Find each quotient. Name any remainder. 5. 44 4 = 6. 65 4 = 7. 72 6 = Remainder: 8. 32 3 = Remainder: Remainder: 9. 48 7 = Remainder: Remainder: 10. 78 8 = Remainder: 60
Name Challenge! How can you use a remainder to know if your quotient could be a greater number? Draw a picture to help. 61