Unit Conversions

Lesson 11

Math

Unit 7

4th Grade

Lesson 11 of 12

Objective


Express decimal measurements in terms of a smaller unit.

Common Core Standards


Core Standards

  • 4.MD.A.1 — Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), …
  • 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.2
  • 4.NF.B.4
  • 4.NF.C.6

Criteria for Success


  1. Convert metric measurements from a larger unit written as a decimal to a smaller unit.
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Anchor Tasks


Problem 1

Ms. Cole measures the width of her pencil eraser. She says it is 0.6 cm wide. Mr. Duffy says it is 6 mm wide. Who is correct? Explain your answer.

Guiding Questions

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Problem 2

Solve. Show or explain your work. 

a.   0.01 m = ________ cm

b.   0.06 m = ________ mm

c.   0.3 L = ________ mL

d.   0.83 kg = ________ g

e.   10.42 km = ________ m

Guiding Questions

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Problem Set


Answer Keys

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Discussion of Problem Set

  • How could your answer to #2 help you solve #4(a)?
  • How could your answer to #3 help you solve #4(d)?
  • How can knowing that 10 cm is equal to 100 mm help you check to make sure your answer to #4(c) is reasonable? 
  • Which cereal should Mr. Silver buy in #5? Why? 
  • How can knowing that 1 m is equal to 1,000 mm help you check to make sure your answer to #6(a) is reasonable? 
  • What is the combined length of Ms. Ruggiero’s ticker tape? Is it enough to use for the name tags? Why or why not? 
  • When have you heard someone talk about a decimal unit before?

Target Task


Problem 1

Show or explain how you know that 3.5 centimeters = 35 millimeters.

Problem 2

Solve.

a.   4.8 meters = __________ millimeters

b.   5.04 L = __________ mL

c.   0.4 kg = __________ g

d.   10.67 km = __________ m

Student Response

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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

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Lesson 10

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Lesson 12

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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