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### Understanding Division with Decimals in Real-Life Situations ###

In this lesson, we explore how to divide by decimals using engaging real-life scenarios. We'll learn how to share 16 pieces of candy among friends, cut 6 meters of rope into smaller sections, and determine servings from a jar of jam. Through hands-on activities and visual tools like base ten blocks and number lines, students will grasp the concept of decimal division. This session emphasizes understanding groups, place value, and ungrouping to find solutions. Join us to sharpen your division skills with decimals! ###

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### Understanding Division with Decimals in Real-Life Situations ###

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  1. Dividing by DecimalsAlignment Lesson Day 66

  2. Division • You have 16 pieces of candy. You would like to share your candy with 3 friends (and yourself too )!! • Therefore you want to divide your 16 pieces of candy into 4 groups!! 16 pieces of candy

  3. Therefore you want to divide your 16 pieces of candy into 4 groups!! Each person will receive 4 pieces of candy!!! 16 ÷ 4 = 4 16 pieces of candy

  4. Find Day 66, “Dividing by Decimals 1” Kyle has 6 meters of rope. He plans to cut it into pieces of rope that are 0.75 meters long. How many pieces of rope will Kyle have when he finishes? • Use what you know about decimals to estimate the how far each team member ran. • 6 ÷ 1 = 6 • What division sentence is represented by the problem. • 6 ÷ 0.75 = ?(Write the problem horizontal.) • Let’s try to use base ten blocks to try to find a solution. Remember students they can “ungroup” the flats if necessary.

  5. 6 ÷ 0.75 = ? **Our goal is to determine the number of groups that can be made. Begin with 6 flats. Ungroup into 60 rods. Make groups of 7 rods (0.7) until there are not enough rods left to form another whole group of 7. = = Now we have 4 rods (or tenths) left. = = = =

  6. Now we have 4 rods (or tenths) left. • Use 6 flats. Ungroup into 60 rods. Make groups of 7 rods (0.7) until there are not enough rods left to form another whole group of 7. (There should be 4 rods left.) Ungroup into 40 units. Place 5 units in each group. Each group should have 7 rods and 5 units. There are 8 piles of 0.75, so the answer is 8. Ungroup into 40 units.

  7. Place 5 units in each group of the 8 groups. • Use 6 flats. Ungroup into 60 rods. Make groups of 7 rods (0.7) until there are not enough rods left to form another whole group of 7. (There should be 4 rods left.) Ungroup into 40 units. Place 5 units in each group. Each group should have 7 rods and 5 units. There are 8 piles of 0.75, so the answer is 8. = = = =

  8. Each group should have 7 rods and 5 units. There are 8 piles of 0.75, so the answer is 8. 6 ÷ 0.75 = 8 pieces I moved 5 units into each of the 8 groups.

  9. Scenario 2 • A jar of jam contains 4 ounces. If a serving of jam is 0.8 ounces, how many servings are in the jar of jam? Shade 4 wholes. Draw circles around sets of 8 columns until all shaded squares are included in a group. You have circled 5 groups, so the answer is 5. 4 ÷ 0.8 = 5 servings

  10. Find Day 66, “Dividing by Decimals 2” Scenario 3 & 4 • You will work in pairs to find a solution to each problem. • When finished, we will use Math Talk to share solutions. • Remember when sharing you solution, be sure to include discussion about place value and ungrouping.

  11. Find Day 66, “Dividing by Decimals on a Number Line” Jamal and Justin are climbing a mountain trail that is 6.3 miles long. They can climb about 0.9 miles a day. How many days will it take them to reach the top? 0 1 2 3 4 5 6 7 Write the number sentence that we will use to solve this problem. 6.3 ÷ 0.9 = ? We will use a number line to solve this decimal by decimal division problem!

  12. Find Day 66, “Dividing by Decimals on a Number Line” Jamal and Justin are climbing a mountain trail that is 6.3 miles long. They can climb about 0.9 miles a day. How many days will it take them to reach the top? 0 1 2 3 4 5 6 7 First, let’s define 6.3 on our number line. (blue rectangle) Divide the number line (from 0 to 6.3) into groups containing 0.9. There are 7 groups, so 6.3 ÷ 0.9 = 7.

  13. Remaining Time… • Day 66, “Dividing by Decimals on Base Ten Grids & Number Lines.” • Finish any remaining problems and the journal prompt for homework. • Note: An extra page of grids and number lines has been included in this lesson to be used for additional practice as needed.

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