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Module 2 Topic A Lesson 1 Metric Unit Conversions

Module 2 Topic A Lesson 1 Metric Unit Conversions. 4 .MD.1 and 4.MD.2. Lesson 1 Objective. Express metric length measurements in terms of a smaller unit Model and solve addition and subtraction word problems involving metric length. Fluency Lesson 1 Convert Units 2 min. Convert Units. 1.

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Module 2 Topic A Lesson 1 Metric Unit Conversions

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  1. Module 2 Topic A Lesson 1Metric Unit Conversions 4.MD.1 and 4.MD.2

  2. Lesson 1 Objective • Express metric length measurements in terms of a smaller unit • Model and solve addition and subtraction word problems involving metric length

  3. Fluency Lesson 1 Convert Units 2 min. Convert Units 1 • 100 cm = _______ m 2 200 cm = ________m 3 • 300 cm = ________m 8 • 800 cm = ________m

  4. Fluency Lesson 1 Convert Units 2 min. Convert Units • 1 m = _______ cm 100 200 • 2 m = ________cm 300 • 3m = ________cm 700 • 7 m = ________cm

  5. Meter and Centimeter Bonds 8 minutes Materials: Personal white boards

  6. Fluency Lesson 1 Convert Units 2 min. 150 cm 1 m ?

  7. Fluency Lesson 1 Convert Units 2 min. How many centimeters are in a meter? 100 cm

  8. Fluency Lesson 1 Convert Units 2 min. 150 cm 1 m 50cm

  9. Fluency Lesson 1 Convert Units 2 min. 120 cm 1 m 20 cm ?

  10. Fluency Lesson 1 Convert Units 2 min. 105 cm 1 m ? 5 cm

  11. Fluency Lesson 1 Convert Units Write the whole as an addition sentence with mixed units. 2 m ? cm 100 cm 1 m 1 m + 100 cm = 1 m + 1 m = 2 m

  12. Fluency Lesson 1 Convert Units Write the whole as an addition sentence with mixed units. 3 m ? cm 100 cm 2 m 2 m + 100 cm = 2 m + 1 m = 3 m

  13. Fluency Lesson 1 Convert Units Write the whole as an addition sentence with mixed units. 6 m ? cm 100 cm 5 m 5 m + 100 cm = 5 m + 1 m = 6 m

  14. Fluency Lesson 1 Convert Units Write the whole as an addition sentence with mixed units. 3 m ? m 100 cm 2 m 2 m + 100 cm = 2 m + 1 m = 3 m

  15. Fluency Lesson 1 Convert Units Write the whole as an addition sentence with mixed units. ? m 6 m 5 m 100 cm 100 cm + 5 m = 1 m + 5 m = 6 m

  16. Application Problem Lesson 1 Application Problem8 minutes Martha, George, and Elizabeth sprinted a combined distance of 10,000 m. Martha sprinted 3,206 m. George sprinted 2,094 m. How far did Elizabeth sprint? Solve using a simplifying strategy or algorithm.

  17. Concept Development Lesson 1 Problem 1 Concept Development 32 minutes Objective: You will understand the lengths of 1 centimeter, 1 meter, and 1 kilometer in terms of concrete objects and objects you know. We’ve got this!

  18. Concept Development Lesson 1 Problem 1 Centimeter cm Width of a staple Width of a paper clip Width of a pencil

  19. Concept Development Lesson 1 Problem 1 Meter m Height of a countertop Width of a door Width of your arms stretched wide

  20. Concept Development Lesson 1 Problem 1 Kilometer Km Distance of several laps around a track Distance of your home to the nearest town

  21. Concept Development Lesson 1 Problem 1 Make a chart documenting what types of objects are measured in centimeters, meters, and kilometers. • Length of a countertop • The outstretched arms of a child • Length of a staple • Fingernail • Length of a base ten block • Distance from the school to the train station • Four times around the soccer field

  22. Concept Development Lesson 1 Problem 1 Problem 1 • Compare the sizes and note the relationships between meters and kilometers as conversion equivalencies. 1 km = 1,000 m

  23. Concept Development Lesson 1 Problem 1 2,000 3,000 7,000 70,000

  24. Concept Development Lesson 1 Problem 1 Problem 1 How many meters are in 2 km? 2000 m How many meters are in 3 km? 3000 m How many meters are in 4 km? 4000 m

  25. Concept Development Lesson 1 Problem 1 How many meters are in…. 7 km 7,000 m

  26. Concept Development Lesson 1 Problem 1 How many meters are in…. 20 km 20,000 m

  27. Concept Development Lesson 1 Problem 1 How many meters are in…. 70 km 70,000 m

  28. Concept Development Lesson 1 Problem 1 Problem 1 Continued • Write 2,000 m = ____ km on your board. • If 1,000 m = 1 km, 2,000 m = how many kilometers? • 2 km

  29. Concept Development Lesson 1 Problem 1 8 9 10

  30. Concept Development Lesson 1 Problem 1 How many kilometers are in…. 8,000 meters 8 m

  31. Concept Development Lesson 1 Problem 1 How many kilometers are in…. 10,000 meters 10 km

  32. Concept Development Lesson 1 Problem 1 How many kilometers are in…. 9,000 meters 9 km

  33. Concept Development Lesson 1 Problem 1 Problem 1 Compare kilometers and meters. 1 ____ is 1,000 times as much as 1 ______. 1 km is 1,000 times as much as 1 meter. **A kilometer is a longer distance because we need 1,000 meters to equal 1 kilometer.**

  34. Concept Development Lesson 1 Problem 1 Problem 1 1 km 500 m = _____ m Let’s convert the kilometers to meters. 1 km is worth how many meters? 1,000 meters 1,000 meters + 500 meters is equal to ____ meters. 1, 500 meters

  35. Concept Development Lesson 1 Problem 1 How many meters are in…. 1 km 300 m 1,300 m

  36. Concept Development Lesson 1 Problem 1 How many meters are in…. 5 km 30 m 5,030 m

  37. Concept Development Lesson 1 Problem 1 How many kilometers are in…. We made 2 groups of 1,000 meters, so we have 2 kilometers and 500 meters. 2,500 m 2 km 500 m

  38. Concept Development Lesson 1 Problem 1 How many kilometers are in…. We made 5 groups of 1,000 meters, so we have 5 kilometers and 5 meters. 5,005 5 km 5m

  39. Concept Development Lesson 1 Problem 2 How many meters are in…. We can’t add different units together. We can rename the kilometers to meters before adding. 5 kilometers equals 5,000 meters, so 5,000 m + 2,500 m = 7,500 m Simplify or use the algorithm? Talk with your partner about how to solve this problem. Simplify 5 km + 2,500 m 2 km 500 m

  40. Concept Development Lesson 1 Problem 2 Problem 2 continued • 1 km 734 m + 4 km 396 m = • Simplify Strategy or Algorithm? • Simplify strategy because 7 hundred and 3 hundred meters are a kilometer. • 96+34 is easy since the 4 will get the 96 to 100 meters. • Then I have 6km 130 m. • But, there are three renamings and the sum of the meters is more than a thousand. • Is your head spinning? Mine is!

  41. Concept Development Lesson 1 Problem 2 Simplifying Strategy • We are going to try it mentally then check it with the algorithm, just to make sure. • Choose the way that you want to set up the algorithm. If you finish before the two minute work time is up, try solving it a different way. • We will also have two pairs of students solve the problem on the board. • One pair will solve it using the simplying strategy. • The other pair will solve it using the algorithm. Let's get to work! Algorithm 1 km 734 m + 4 km 396 m

  42. Concept Development Lesson 1 Problem 2 1 km 734 m + 4 km 396 m Algorithm Examples 1 km 734 m + 4 km 896 m 5km 1130 m + 1 km 130 m 6 km 130 m

  43. Concept Development Lesson 1 Problem 2 1 km 734 m + 4 km 396 m Algorithm Example

  44. Concept Development Lesson 1 Problem 2 1 km 734 m + 4 km 396 m Simplifying strategy 1 km + 4 km = 5 km 734 m + 396 m = 1130 m 730 4 = 1130 m 1 km +4 km = 5 km 1130 m = 1 km 130 m 5 km + 1 km 130 m = 6km 130 m

  45. Concept Development Lesson 1 Problem 2 1 km 734 m + 4 km 396 m Simplifying strategy 734 + 396 m = 1130 m700 34 300 96 5km + 1 km 130 m = 6km 130 m

  46. Concept Development Lesson 1 Problem 3 Problem 3Subtract mixer unit of length using the algorithm or mixed units of length. 10 km – 3 km 140 m = • Choose the way you want to set up the algorithm. If you finish before the two minutes is up, try solving the problem a different way. • Let’s have two pairs of students work on the board. One pair using the algorithm and one pair recording a mental math strategy. Simplifying Strategy or Algorithm? Definitely using the algorithm. There are no meters in the number so you would have to subtract. It really is like 10 thousand minus 3 thousand 140.

  47. Concept Development Lesson 1 Problem 3 Problem 3Subtract mixer unit of length using the algorithm or mixed units of length. 10 km – 3 km 140 m = Algorithm Strategy: Solution A Look at solution A. How did they set up for the algorithm?

  48. Concept Development Lesson 1 Problem 3 Problem 3Subtract mixer unit of length using the algorithm or mixed units of length. 10 km – 3 km 140 m = Algorithm Strategy: Solution b What did they do for solution B?

  49. Concept Development Lesson 1 Problem 3 Problem 3Subtract mixer unit of length using the algorithm or mixed units of length. 10 km – 3 km 140 m = Algorithm Strategy: Solution c What happened in C?

  50. Concept Development Lesson 1 Problem 3 Problem 3Subtract mixer unit of length using the algorithm or mixed units of length. 10 km – 3 km 140 m = Mental Math Strategy: Solution d They used a number line to show a counting up strategy.

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