6.4.H
The Standard
convert units within a measurement system, including the use of proportions and unit rates
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students change a measurement from one unit to another within the same system. They use a known conversion relationship to build a proportion or unit rate, then calculate and label the result.
What Mastery Looks Like
- Students select the correct relationship between two units and set up a valid proportion or unit rate. They calculate accurately, cancel or track units, and check whether the result is reasonable.
Common Misconceptions
- Students may multiply when they should divide, or use a conversion factor backward. They may mix systems, drop unit labels, or assume every conversion uses a factor of 10.
How to Assess It
- Exit ticket: A ribbon is 3.5 yards long. How many inches is it? Show a proportion or unit-rate method and label the answer.
Lesson moves
Ways to Teach It
At a water station, students use cup, pint, and quart containers to test conversion relationships and record equivalent amounts.
Ask students to explain why converting 5 feet to inches produces a number greater than 5.
Students match cards showing measurements, conversion factors, proportions, and equivalent answers, then justify each completed set.
Give students a trail-map distance in miles and ask them to calculate the same distance in feet for a route sign.
Keep exploring
Related Standards
- 4.8.A
identify relative sizes of measurement units within the customary and metric systems
- 7.4.B
calculate unit rates from rates in mathematical and real-world problems
- 7.4.E
convert between measurement systems, including the use of proportions and the use of 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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