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Dividing by Decimals Alignment Lesson

Dividing by Decimals Alignment Lesson. Day 66. 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.

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Dividing by Decimals Alignment Lesson

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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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