Unit Rates Themed Activities
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Definition
A unit rate is a rate that compares two quantities with different units when the second quantity is equal to 1. Unit rates describe how much of one quantity corresponds to one unit of another quantity. They are often expressed using the word “per.”
For example, if 12 notebooks cost $36, the cost per notebook is:
$36 ÷ 12 = $3 per notebook
Therefore, the unit rate is $3 per notebook.
Unit rates are useful for comparing quantities and solving real-world problems involving prices, speed, distance, time, and other measurements. To find a unit rate, divide both quantities in a rate so that the second quantity becomes 1.
For example, suppose a car travels 180 miles in 3 hours. The number of miles traveled in one hour is:
180 ÷ 3 = 60 miles per hour
Thus, the unit rate is 60 miles per hour.
Understanding unit rates also helps students compare different rates. For example, when two stores sell the same product in different package sizes and at different prices, students can calculate the cost per item to determine which option offers the better value. Unit rates are closely connected to ratios, proportions, percentages, and proportional relationships.
Unit rates are addressed primarily in the U.S. Common Core State Standards (CCSS), particularly in the following areas:
- CCSS.MATH.CONTENT.6.RP.A.2 requires students to understand the concept of a unit rate associated with a ratio and use appropriate rate language. For example, if a student reads 120 pages in 4 hours, the unit rate is 30 pages per hour.
- CCSS.MATH.CONTENT.6.RP.A.3.B requires students to solve unit-rate problems, including problems involving unit pricing and constant speed. Students apply their understanding of ratios and rates to practical situations.
Overall, learning about unit rates helps students develop proportional reasoning and provides an important foundation for solving more advanced problems involving proportional relationships, percentages, equations, and real-world comparisons.
Unit Rates Themed Activities
This is a fantastic bundle which includes everything you need to know about Unit Rates across 14 in-depth pages. These are ready-to-use Common core aligned 6th Grade Math worksheets.
Each ready to use worksheet collection includes 10 activities and an answer guide. Not teaching common core standards? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience.
Resource Examples
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Worksheets Activities Included
- Market Stall Prices
- Fill the Shopping Basket
- Vendor Rate Signs
- Better-Buy Booth
- Market Table Challenge
- Shopping List Math
- Specialty Market Rates
- Busy Market Minute
- Bargain Hunt
- Market Master Challenge
Frequently Asked Questions
A unit rate compares two quantities where the second quantity is 1. It tells how much of one quantity there is for each single unit of another quantity.
For example, if 12 notebooks cost $36, the unit rate is $3 per notebook.
Divide the first quantity by the second quantity so that the denominator or second quantity becomes 1.
For example, if a car travels 240 miles in 4 hours:
240 ÷ 4 = 60
The unit rate is 60 miles per hour.
Unit rates make it easier to compare quantities and make decisions. They are commonly used for prices, speed, wages, and measurements.
For example, if one package costs $12 for 4 items, its unit price is $3 per item. You can compare this unit rate with another package to determine which offers the better value.
