Unit Conversions

Lesson 12

Math

Unit 7

4th Grade

Lesson 12 of 12

Objective


Solve word problems involving converting fractional and decimal measurements to a smaller unit.

Common Core Standards


Core Standards

  • 4.MD.A.2 — Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

Foundational Standards

  • 3.MD.A.1
  • 3.MD.A.2
  • 4.NF.A.1
  • 4.NF.B.4
  • 4.NF.C.6
  • 4.OA.A.3

Criteria for Success


  1. Solve word problems involving converting decimal measurements to a smaller unit (MP.4).
  2. Solve word problems involving converting fractional measurements to a smaller unit (MP.4).

Tips for Teachers


Let students work on each problem in the Problem Set independently and circulate to see whether students are solving correctly. If not, come back together to discuss how/what to draw on a tape diagram, then allow them to try again on their own. 

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Anchor Tasks


Problem 1

Watch the following video: The Water Boy (Act-1).

Here is how much water the water bottle holds: Here is how much water is left in the bottle:

How much water did he drink?

Guiding Questions

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References

Questioning My Metacognition The Water Boy

The Water Boy by Graham Fletcher is made available on Questioning My Metacognition under the CC BY-SA 4.0 license. Accessed June 13, 2018, 4:58 p.m..

Modified by Fishtank Learning, Inc.

Problem 2

Watch the following video: Act 1: On a Roll.

  • This is how much tape she has:

  • The length of the dry erase board is $$\frac{4}{9}$$ yard and the width of the dry erase board is $$\frac{2}{3}$$ yard.

Will she have enough tape to cover the border of the dry erase board?

Guiding Questions

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References

Ms Castillos Math 3 Act: On a Roll

3 Act: On a Roll by Catherine Castillo is made available on Ms Castillos Math. Accessed June 29, 2018, 11:02 a.m..

Modified by Fishtank Learning, Inc.

Problem Set


Answer Keys

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

Discussion of Problem Set

  • How did you interpret the remainder in #2? 
  • In #3, I saw some people find how many times greater the mass of the rabbit is compared to the mouse, and others find how many more grams the rabbit weighed than the mouse. Which answer is correct? Or are both of them?
  • In #7(a), how many different ways were 7 halves represented? (30 min 7, as $${{7\over2}}$$ and as $${{6\over2}+{1\over2}}$$) What advantage is there to knowing all of these representations when it comes to solving a problem like this one? 
  • What shortcuts or efficiencies did you use today when solving your problems? How do you decide whether to start by converting to a smaller unit or to work with the mixed number or decimal measurements?

Target Task


Problem 1

Itoro practiced piano for $$1\frac{1}{4}$$ hours. Tiffani practiced piano for twice as long as Itoro. For how many minutes did Tiffani practice piano? 

Problem 2

Mary and her friends are making fruit punch. They combine 1.5 liters of lemonade, 3 liters of pineapple juice, and 0.25 liters of cranberry juice. How many total milliliters of fruit punch did they make?

Student Response

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Additional Practice


The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Extra Practice Problems

Answer Keys

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Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

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Lesson 11

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Metric Unit Conversion

Topic B: Customary Unit Conversion

Topic C: Fraction and Decimal Unit Conversions

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