7.4.E
The Standard
convert between measurement systems, including the use of proportions and the use of unit rates
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students convert measurements from one system to another, such as miles to kilometers or pounds to kilograms. They use a given conversion factor in a proportion or as a unit rate.
What Mastery Looks Like
- Students choose a correct conversion factor and use a proportion or unit rate to find an equivalent measure. They label units, calculate accurately, and check whether the result is reasonable.
Common Misconceptions
- Students may multiply when they should divide, or reverse the conversion factor. They may mix units in a proportion, treat an approximate conversion as exact, or omit units from the answer.
How to Assess It
- Give this exit ticket: “A trail is 12 kilometers long. Using 1 mile ≈ 1.6 kilometers, find its length in miles and show your setup.”
Lesson moves
Ways to Teach It
Have pairs measure a table in inches, convert the result using 2.54 centimeters per inch, then check with a metric tape.
Ask students to explain in writing why converting 10 miles to kilometers produces a number greater than 10.
Play conversion card match, pairing measurement cards with equivalent values and defending each match using a proportion or unit rate.
Use a road trip map to convert posted distances between miles and kilometers, then compare estimated travel distances.
Keep exploring
Related Standards
- 7.4.B
calculate unit rates from rates in mathematical and real-world problems
- 6.5.A
represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions
- 6.4.H
convert units within a measurement system, including the use of proportions and unit rates
- 4.8.B
convert measurements within the same measurement system, customary or metric, from a smaller unit into a larger unit or a larger unit into a smaller unit when g...
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