Lesson 4: Converting Units
Let’s convert measurements to different units.
Illustrative Math Unit 6.3, Lesson 4 (printable worksheets)
Lesson 4 Summary
The following diagram shows how to convert measurements to different units using equivalent ratios.
Lesson 4.1 Number Talk: Fractions of a Number
Find the values mentally.
¼ of 32
¾ of 32
⅜ of 32
⅜ of 64
Lesson 4.2 Road Trip
Elena and her mom are on a road trip outside the United States. Elena sees this road sign.
Elena’s mom is driving 75 miles per hour when she gets pulled over for speeding.
- The police officer explains that 8 kilometers is approximately 5 miles.
a. How many kilometers are in 1 mile?
b. How many miles are in 1 kilometer?
- If the speed limit is 80 kilometers per hour, and Elena’s mom was driving 75 miles per hour, was she speeding? By how much?
Lesson 4.3 - Veterinary Weights
A veterinarian uses weights in kilograms to figure out what dosages of medicines to prescribe for animals. For every 10 kilograms, there are 22 pounds.
- Calculate each animal’s weight in kilograms. Explain or show your reasoning. If you get stuck, consider drawing a double number line or table.
a. Fido the Labrador weighs 88 pounds.
b. Spot the Beagle weighs 33 pounds.
c. Bella the Chihuahua weighs pounds.
- A certain medication says it can only be given to animals over 25 kilograms. How much is this in pounds?
Lesson 4.4 - Cooking with a Tablespoon
Diego is trying to follow a recipe, but he cannot find any measuring cups! He only has a tablespoon. In the cookbook, it says that 1 cup equals 16 tablespoons.
- How could Diego use the tablespoon to measure out these ingredients?
a. ½ cup almonds
b. 1¼ cup of oatmeal
c. 2¾ cup of flour
Diego also adds the following ingredients. How many cups of each did he use?
a. 28 tablespoons of sugar
b. 6 tablespoons of cocoa powder
Lesson 4 Practice Problems
- Priya’s family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost?
2. There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon. For each question, explain or show your reasoning.
a. How many milliliters are in 3 gallons?
b. How many milliliters are in 1 quart?
3. Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to gallons, but cannot decide if she should multiply 6 by 4 or divide 6 by 4 to find her answer. What should she do? Explain or show your reasoning. If you get stuck, consider drawing a double number line or using a table.
4. Tyler has a baseball bat that weighs 28 ounces. Find this weight in kilograms and in grams. (Note: 1 kilogram ≈ 35 ounces)
5. Identify whether each unit measures length, volume, or weight (or mass).
6. A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.) How many ounces of almonds would be in a one-pound bag of this trail mix? Explain or show your reasoning.
7. An ant can travel at a constant speed of 980 inches every 5 minutes.
a. How far does the ant travel in 1 minute?
b. At this rate, how far can the ant travel in 7 minutes?
The Open Up Resources math curriculum is free to download from the Open Up Resources website and is also available from Illustrative Mathematics.
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