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Metric Mass

Metric Mass. Lesson 2.2:. Add and Subtract Meters and Centimeters. 540 cm + 320 cm = ____. Say 540 centimeters in meters and centimeters. 5 meters 40 centimeters. 5 m 40 cm below 540 cm. Say 320 centimeters in meters and centimeters. 3 meters 20 centimeters.

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Metric Mass

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  1. Metric Mass Lesson 2.2:

  2. Add and Subtract Meters and Centimeters • 540 cm + 320 cm = ____. Say 540 centimeters in meters and centimeters. • 5 meters 40 centimeters. • 5 m 40 cm below 540 cm. Say 320 centimeters in meters and centimeters. • 3 meters 20 centimeters.

  3. Add and Subtract Meters and Centimeters • Add the meters. • 5 meters + 3 meters = 8 meters. • Add the centimeters. • 40 centimeters + 20 centimeters = 60 centimeters. • Write 8 m 60 cm as the sum on the line. Say the addition sentence in centimeters. • 540 centimeters + 320 centimeters = 860 centimeters.

  4. Add and Subtract Meters and Centimeters • Write 420 cm + 350 cm = ____ in your notebook. • Write 420 cm + 350 cm by combining meters and centimeters. • Write 4 m 20 cm + 3 m 50 cm = 7 m 70 cm. • 650 cm – 140 cm • 780 cm – 210 cm

  5. Application Problem • The distance from school to Zoe’s house is 3 kilometers 469 meters. Camie’s house is 4 kilometers 301 meters farther away. How far is it from Camie’s house to school? Solve using simplifying strategies or an algorithm. • Solution

  6. Guided Instruction Concept DevelopmentProblem 1 • Complete the chart

  7. Guided Instruction Concept DevelopmentProblem 1 • Compare kilograms and grams. • 1 kilogram is 1,000 times as much as 1 gram. • A kilogram is heavier because we need 1,000 grams to equal 1 kilogram. • 1 kg 500 g = ______ g. Convert 1 kg 500 g to grams. 1 kilogram is equal to how many grams? • 1,000 grams. • 1,000 grams plus 500 grams is 1,500 grams.

  8. Guided Instruction Concept DevelopmentProblem 1 • 1 kg 300 g = ___ g.1 kg 300 g is equal to how many grams? • 1,300 grams. • 5 kg 30 g = ______ g • 2,500 grams is equal to how many kilograms? • 2 kg 500 g + _____ kg _____ g • We made two groups of 1,000 grams, so we have 2 kilograms and 500 grams. • 5,005 g = ______ kg ______g

  9. Guided Instruction Concept DevelopmentProblem 2 • 8 kg + 8,200 g = ______ • Talk for one minute with your partner about how to solve this problem. • Are you going to use the algorithm or a simplifying strategy? • A simplifying strategy! We can’t add different units together.

  10. Guided Instruction Concept DevelopmentProblem 2 • We can rename the kilograms to grams before adding. • We can rename 8 kg to 8,000 g. • 8,000 g + 8,200 g = 16,200 g. • We can rename 8,200 g to 8 kg 200 g.

  11. Guided Instruction Concept DevelopmentProblem 2 • 25 kg 537 g + 5 kg 723 g = ________ • Will you use the simplifying strategy or the algorithm? Discuss with your partner. • Choose the way you want to do it. • Solutions A and B are algorithms.

  12. Guided Instruction Concept DevelopmentProblem 2 • 25 kg 537 g + 5 kg 723 g = ________ • Solutions C and D are simplifying strategies.

  13. Guided Instruction Concept DevelopmentProblem 3 • 10 kg – 2 kg 250 g = _______ • Discuss with a partner whether you will use the simplifying strategy or the algorithm? Choose the way you want to do it.

  14. Guided Instruction Concept DevelopmentProblem 3 • Look at the first algorithm . How did they prepare the algorithm for subtraction? • They renamed 10 kilograms as 9 kilograms and 1,000 grams first. • What did they do in their second solution? • Converted kilograms to grams.

  15. Guided Instruction Concept DevelopmentProblem 3 • How did our first simplifying strategy pair solve the problem? • They subtracted the 2 kilograms first. • Then they subtracted the 250 grams from 1 kilogram.

  16. Guided Instruction Concept DevelopmentProblem 3 • 32 kg 205 g – 5 kg 316 g = ______ • Discuss with a partner whether you will use simplifying strategy or the algorithm? • Those numbers are not easy to subtract so it might be best to use the algorithm.

  17. Guided Instruction Concept DevelopmentProblem 3 • Not all problems present themselves as easily solved using a simplifying strategy. • You need to evaluate the problem carefully to decide the most efficient method for solving problems.

  18. Guided Instruction Concept DevelopmentProblem 4 • A suitcase cannot exceed 23 kilograms for a flight. Robert packed his suitcase for his flight, and it weighs 18 kilograms 705 grams. How many more grams can he add to his suitcase without going over the weight limit? • Draw and label a tape diagram. • Tell your partner the known and unknown information. • We know how much Robert’s suitcase is allowed to hold and how much it is holding.

  19. Guided Instruction Concept DevelopmentProblem 4 • We don’t know how many more grams it can hold to reach the maximum allowed weight of 23 kilograms. • Will you use the algorithm or a simplifying strategy? Label the missing part on your diagram and make a statement of the solution.

  20. Guided Instruction Concept DevelopmentProblem 4 • Algorithm solution

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