Unit Conversions

Lesson 4


Solve multi-step word problems that requires metric unit conversions of length, mass, and capacity.

Materials and Resources

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.2

  • 4.OA.A.3

Criteria for Success


  1. Solve multi-step word problems that requires metric unit conversions of length, mass, and capacity (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


Jennifer, Leon, and Veronica see this on their ticket:

The weight of their bags is listed below.

Suitcase Mass
Blue 26 kg
Black 20 kg 40 g
Grey 23,975 g


  1. Are each of their bags within the weight limit? If not, which ones exceed it? 
  2. Can they rearrange their bags so that they are all under the weight limit?
  3. If so, how much weight under the limit will they be in total? If not, what might be an object they packed that they could take out of their suitcases to be under the limit? 

Guiding Questions

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Discussion of Problem Set


  • How did you determine how much orange drink Lisa put in the glass in #2? 
  • How many total grams of corn did Farmer Asmed sell in #6? How did you solve? 

Target Task


Problem 1

Solve. Show or explain your work. 

The average fourth grader is about three times as tall as the average newborn baby. If babies are on average 45 cm 7 mm when they are born, what is the height of the average fourth grader?

Problem 2

Solve. Show or explain your work. 

Jeff is making fruit punch. The recipe includes equal amounts of mango and pineapple juice and 490 mL of orange juice. If the recipe makes 1 L 50 mL, how much of each of the mango and pineapple juices are in the recipe? 

Mastery Response


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