7.4.B
The Standard
calculate unit rates from rates in mathematical and real-world problems
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students turn a comparison involving two quantities into an amount for one unit. For example, they find miles per hour, dollars per item, or words per minute.
What Mastery Looks Like
- Students correctly divide the two quantities in the needed order and label the result with “per” units. They can use fractions or decimals and explain what the answer means in context.
Common Misconceptions
- Students may divide in the wrong order, such as calculating hours per mile when the question asks for miles per hour. They may also confuse a unit rate with the original rate or round too early.
How to Assess It
- Give this exit ticket: “A cyclist travels 42 miles in 3.5 hours. Find the miles per hour and show the division used.”
Lesson moves
Ways to Teach It
Give pairs grocery packages and price tags, then have students calculate each unit price and identify the better buy.
Ask students to write how they know whether to divide miles by hours or hours by miles in a travel problem.
Play a card match game where students pair rate cards, unit rate cards, and correct unit labels.
Have students compare two phone plans by finding the cost per gigabyte and explaining which plan offers the lower rate.
Keep exploring
Related Standards
- 6.5.A
represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions
- 7.4.E
convert between measurement systems, including the use of proportions and the use of unit rates
- 6.4.H
convert units within a measurement system, including the use of proportions and unit rates
- 6.4.G
generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money
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