1. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Learning Objective Name __________________________ Today, we will multiply decimal numbers. CFU What are we going to do today? Activate (or provide) Prior Knowledge CFU Students, you already know how to multiply with whole numbers. Today, we will use these skills to multiply decimal numbers. 1. 2. 0 2 6 Solve the multiplication problems on your whiteboards. Multiplication is repeated addition of equal groups. A factor is a number used in a multiplication problem. The product is the answer to a multiplication problem. 88 1 73 factors product 3 4 12

2. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Concept Development Multiplying Decimal Numbers 1 3 2 6 8 To multiply is to do repeated addition of equal groups. A decimal number represents a whole number and a part of a whole number separated by a decimal point. To multiply decimal numbers: Decimal numbers do not need to be lined up by place value. The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied. CFU On your whiteboard, write a decimal number. How do you know it is a decimal number? Look at the multiplication problem on the right. How many decimal places would there be on the right in the product? A 1 B 2 C 3 D 4 Between which two digits would the decimal point be placed in the product? In your own words, what is the main difference between multiplying whole numbers and decimal numbers? The main difference is _____________. 2.15 + 10.75 Jimmy receives $2.15 every day for allowance. How much will he have if he saves his money for five days? Jimmy will have $10.75 if he saves his allowance for five days. 2 Flashcards Decimal Point Placement

3. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice Step #1: Multiply the bottom factor with each digit of the top factor. (regroup if needed) a. Add regrouped numbers, if any. Step #2: Count the total number of decimal places in the two factors. a. Place a decimal in the product that many places to the left. 1. 2. 3. 4.5. 6. CFU (#2) How did I/you count the total number of decimal places in the two factors? (#2a) How did I/you place a decimal in the product that many places to the left? Multiply decimal numbers. To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied. 2 decimal places 0 decimal places 2 decimal places Multiply Decimal Numbers

4. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) 7. 8. 9. 10.11. 12. Step #1: Multiply the bottom factor with each digit of the top factor. (regroup if needed) a. Add regrouped numbers, if any. Step #2: Count the total number of decimal places in the two factors. a. Place a decimal in the product that many places to the left. CFU (#2) How did I/you count the total number of decimal places in the two factors? (#2a) How did I/you place a decimal in the product that many places to the left? Multiply decimal numbers. To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied. 2 decimal places 0 decimal places 2 decimal places Multiply Decimal Numbers

5. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Relevance CFU Does anyone else have another reason why it is relevant to multiply decimal numbers? (pair-share) Why is it relevant to multiply decimal numbers? You may give me one of my reasons or one of your own. Which reason is most relevant to you? Why? 1. Multiplying decimal numbers will help you determine the cost of multiple items. 2. Multiplying decimal numbers will help you convert measurement. 3. Multiplying decimal numbers will help you do well on tests. One inch equals 2.54 centimeters. A box is 14 inches long, how many centimeters long is it? 2.54 x 14 35.56 The box is 35.56 centimeters long. To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied.

6. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. 2. 1. Step #1: Multiply the bottom factor with each digit of the top factor. (regroup if needed) a. Add regrouped numbers, if any. Step #2: Count the total number of decimal places in the two factors. a. Place a decimal in the product that many places to the left. What did you learn today about multiplying decimal numbers? Day 1 ________________________________________________________________________________________________ Day 2 ________________________________________________________________________________________________ Skill Closure Multiply decimal numbers. Concept Closure To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied. Look at the multiplication problem below. Where would you place the decimal points in the factors if the product was 1.6892? Explain your answer. Hint: There are multiple answers. __________________________________________________________________________________________________________ __________________________________________________________________________________________________________ __________________________________________________________________________________________________________ 2 decimal places 0 decimal places 2 decimal places Multiply Decimal Numbers

7. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. 1. 2. 3. 4.5. 6. Independent Practice Name _____________________________ Multiply decimal numbers. Step #1: Multiply the bottom factor with each digit of the top factor. (regroup if needed) a. Add regrouped numbers, if any. Step #2: Count the total number of decimal places in the two factors. a. Place a decimal in the product that many places to the left. To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied. 2 decimal places 0 decimal places 2 decimal places Multiply Decimal Numbers

8. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Periodic Review 1 Name _____________________________ 1. 2. 3. 4.5. 6. Multiply decimal numbers. Step #1: Multiply the bottom factor with each digit of the top factor. (regroup if needed) a. Add regrouped numbers, if any. Step #2: Count the total number of decimal places in the two factors. a. Place a decimal in the product that many places to the left. To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied. 2 decimal places 0 decimal places 2 decimal places Multiply Decimal Numbers

9. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Periodic Review 2 Name _____________________________ 1. 2. 3. 4.5. 6. Multiply decimal numbers. Step #1: Multiply the bottom factor with each digit of the top factor. (regroup if needed) a. Add regrouped numbers, if any. Step #2: Count the total number of decimal places in the two factors. a. Place a decimal in the product that many places to the left. To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied. 2 decimal places 0 decimal places 2 decimal places Multiply Decimal Numbers

10. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Periodic Review 3 Name _____________________________ 1. 2. 3. 4.5. 6. Multiply decimal numbers. Step #1: Multiply the bottom factor with each digit of the top factor. (regroup if needed) a. Add regrouped numbers, if any. Step #2: Count the total number of decimal places in the two factors. a. Place a decimal in the product that many places to the left. To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied. 2 decimal places 0 decimal places 2 decimal places Multiply Decimal Numbers

11. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Teacher with CFU If the product is 231.15, where would the decimal points be in the factors? How did I know where to put the decimal point for each factor? Flashcards (Decimal Point Placement) To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied.

12. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Student with CFU Flashcards (Decimal Point Placement) To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied. If the product is 10.528, where would the decimal points be in the factors? How did you know where to put the decimal point for each factor?

13. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Student Flashcards (Decimal Point Placement) To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied. If the product is 0.4504, where would the decimal points be in the factors?

14. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Student Flashcards (Decimal Point Placement) To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied. If the product is.52241, where would the decimal points be in the factors?

15. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Student Flashcards (Decimal Point Placement) To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied. If the product is 41.28, where would the decimal points be in the factors?

16. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 5 th Grade Number Sense 2.1 (7Q) Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson to be used by EDI-trained teachers only. Student with CFU Back to Skill Development Flashcards (Decimal Point Placement) To multiply decimal numbers: The number of decimal places in the product is equal to the total number of decimal places in the numbers being multiplied. If the product is 1.6, where would the decimal points be in the factors? How did you know where to put the decimal point for each factor?