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Capacity Addition and Subtraction

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  1. Capacity Addition and Subtraction Lesson 2.3:

  2. Application Problem The Lee family had 3 liters of water. Each liter of water weighs 1 kilogram. At the end of the day they have 290 grams of water left. How much water did they drink? Draw a tape diagram and solve using mental math or an algorithm.

  3. Application Problem Solution

  4. Application Problem Solution

  5. Guided Instruction Concept DevelopmentProblem 2 32 L 420 mL + 13 L 585 mL Will you use a simplifying strategy or an algorithm? Choose the way you want to do it. Solutions A and B use the algorithm.

  6. Guided Instruction Concept DevelopmentProblem 2 Simplifying strategy

  7. Guided Instruction Concept DevelopmentProblem 3 12 L 215 mL – 8 L 600 mL Discuss with a partner whether you will use the simplifying strategy or the algorithm? Choose the way you want to do it. Let’s have two pairs of students work at the board, one pair using the algorithm, one pair recording a simplifying strategy.

  8. Guided Instruction Concept DevelopmentProblem 3 Solutions A and B show the algorithm and C is simplifying.

  9. Guided Instruction Concept DevelopmentProblem 3 Look at the first algorithm. How did they set it up? They regrouped 12 liters 215 milliliters to 11 liters 1,215 milliliters.

  10. Guided Instruction Concept DevelopmentProblem 3 How is the second algorithm set up? They converted to milliliters before solving and then wrote their answer as a mixed unit.

  11. Guided Instruction Concept DevelopmentProblem 3 Compare the counting up strategies, the number line, and the arrow notation and take a moment to review the solution strategies.

  12. Guided Instruction Concept DevelopmentProblem 4 Jennifer was making 2,170 milliliters of her favorite drink that combines iced tea and lemonade. If she put in 1 liter 300 milliliters of iced tea, how much lemonade does she need? Draw and label a tape diagram. Tell your partner the known and unknown information.

  13. Guided Instruction Concept DevelopmentProblem 4 We know how much iced tea she put in and how much of her favorite drink she is making. We don’t know how much lemonade she needs. Work with your partner to solve for the difference. Will you use a simplifying strategy or an algorithm?

  14. Guided Instruction Concept DevelopmentProblem 4 Label the missing part on your diagram and make a statement of the solution. Check your answer by using the subtraction algorithm with your partner.