Dividing with Decimals NCTM Standards 1, 2, 6, 7, 8, 9, 10 Common Core State Standards 5.NBT 7

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1 Chapter 8 Lesson9-1 Name Complete the multiplication tables. Date Dividing with Decimals NCTM Standards 1, 2, 6, 7, 8, 9, 1 Common Core State Standards 5.NBT Complete the area models and division records. ones 9 tenths Total area: 144 Summary: Total ones 8 tenths hundredths Total area: Summary: Total Solve these on a separate piece of paper CC 14 Common Core Resource Guide

2 Complete the area model and division record. ones tenths hundredths Total area: Summary: Total Solve these on a separate piece of paper Find a decimal equal to the fraction by dividing Challenge Rachel wanted to find a decimal equal to the fraction 7 She divided 7 15, 15 but something very strange happened. Do the division yourself and describe what happens. You get The 6s never stop. You keep subtracting 9 from 1 at different place values Common Core Resource Guide CC 15

3 Chapter 8 Lesson9-2 Name Complete the multiplication tables. Date Dividing with Decimal Divisors NCTM Standards 1, 2, 6, 7, 8, 9, 1 Common Core State Standards 5.NBT For each division problem, write a matching division problem with a whole number divisor. Solve both problems Write another division problem that will have the same quotient as Problem 4. Problems will vary. Possible solution: CC 26 Common Core Resource Guide

4 Find each quotient. Check your answer by multiplying. Use the table of multiples on LAB Master page CC 26 if you wish Check: methods may vary methods may vary. Challenge Kyle has 22 feet of rope. He needs pieces that are 1.25 feet long for a project. How many 1.25-foot pieces can he make? Will there be any rope left over after he has cut as many 1.25-foot pieces as he can? Kyle can make 17 pieces of rope that are 1.25 feet long. He will have.75 feet of rope left over. Common Core Resource Guide CC 27

5 Chapter 11 Lesson1-1 Name NCTM Standards 1, 2, 6, 7, 8, 9, 1 Common Core State Standards 5.NF 7 Draw a picture to help you solve each division problem. Date Dividing Fractions by Whole Numbers When you divide a number by 6 you are finding 1 6 Use that idea to find this quotient or 1 1 of the number. CC 4 Common Core Resource Guide

6 For each division problem write a related multiplication problem that will help you find the quotient, and then use multiplication to check your work Check: or Check: Check: Check: Check: Challenge Complete the sentences Common Core Resource Guide CC 41

7 Chapter 11 Lesson1-2 Name Date Dividing Whole Numbers by Unit Fractions NCTM Standards 1, 2, 6, 7, 8, 9, 1 Common Core State Standards 5.NF 7 Draw a picture to help you solve each division problem. Then complete the matching multiplication sentence. Use your answer from the first sentence as the answer for the second sentence CC 52 Common Core Resource Guide

8 For each division problem write a related multiplication problem that will help you find the quotient, and then use multiplication to check your work Check: Check: Check: Check: Check: Challenge Complete the sentences Common Core Resource Guide CC 53

9 Chapter 11 Lesson1-3 Name Date Stories about Dividing Fractions NCTM Standards 1, 6, 7, 8, 9, 1 Common Core State Standards 5.NF 7 Will feeds his cat 1 cup of cat food at each serving. He has a full box of 4 cat food that holds 24 cups. How many servings are in the box? Anna needs 1 2 yard of plain fabric to make a doll, and 1 yard of 4 flowered fabric to make the doll s dress. She has 6 yards of flowered fabric. How many dolls can she make with the plain fabric she has? Max s recipe calls for 1 cup of brown sugar for each batch of cookies. He 2 has 7 cups of brown sugar. There are 48 cookies in a batch. How many cookies can Max make if he has everything else he needs? CC 64 Common Core Resource Guide

10 Kylie has 26 2 feet of silk ribbon. She will make four bows. Kylie will use 3 the same amount of ribbon for each bow. If Kylie uses all of the ribbon, how long will each bow be? Demi has a board that is 9 1 feet long. She is going to cut it into 4 equal 2 pieces to make a square frame. What will be the length of each piece? Challenge Mr. Li has 2 pieces of rope. One is 6 2 feet long and 3 the other is 5 1 feet long. He wants five equal-sized pieces of 2 rope for his scout troop to practice tying knots. Mr. Li can splice his two ropes into one long rope. How long can he make each piece of rope for his troop? Common Core Resource Guide CC 65

To divide a number by a power of 10, you can use the exponent to determine how the position of the decimal point changes in the quotient.

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