Common Core (CCSS)6th GradeMath

6.RP.A.2— Finding and Comparing Unit Rates

Ratios & Proportional Relationships · 6.RP.A: Understand ratio concepts and use ratio reasoning to solve problems.

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The lesson, the visual models, and 11 practice questions with space to work.

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What this standard means: In this lesson, your child will learn what a unit rate is and why it helps make comparisons easier. They will practice finding the amount for 1 of the second quantity, such as cups of fruit per serving, miles per hour, or texts per dollar. They will use rate language to describe these situations clearly and make sure the units are named correctly. Your child will also compare unit rates and check for mistakes, so they learn that numbers only make sense when the units are included. By working with real-life examples like smoothies, trips, and phone plans, they will build a clear understanding of how unit rates help us describe everyday situations.

What the standard says, word for word · 6.RP.A.2

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship

Read it at the source: Common Core State Standards

What’s inside

What you get, and who it’s for

Everything below is measured from the actual lesson and the actual file. Nothing here is an estimate.

Time to run: About 33 minutes. 10 min lesson, then 23 min of practice.
In the download: 7 printable pages: the full lesson, the worked examples, the visual models, and 11 practice questions with space to work. An educator answer key is included at the end, so the student pages come first and it is still ready to hand out. The lesson’s worked examples do show their solutions, because that is how they teach.
Question set: The download carries all 11 questions. The page shows 11 of them as a sample.
Question format: Every question is numeric answer. Students show their work on the page.
Assumed before this: Students who are shaky on these will struggle with 6.RP.A.2. Worth a quick check first.
6.RP.A.1(Grade 6) Students should already know how to divide to make equal groups and interpret the quotient in a real-world context. They should also know that ratios compare two quantities and that units matter when describing a rate.
Dates: Published August 12, 2026. Last updated August 14, 2026.

The sample intervention

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6.RP.A.2

Unit Rates in Real Life: Smoothies, Trips, and Texts

Understand a unit rate as a ratio with a value of 1 in the second quantity and use rate language to describe it.

A unit rate tells how much of one thing goes with exactly 1 of another, like 3 cups of fruit per 1 serving. In this set you will find unit rates, compare them, and catch mistakes. Always name the units in your head: 4 means nothing until you say 4 miles per hour.

A ripe strawberry, one of the fruits in this lesson's smoothie recipe.

A rate compares two quantities with different units. A unit rate tells about the amount for 1 of the second quantity. For example, if a smoothie recipe uses 3 cups of fruit for 1 serving, the unit rate is 3 cups per serving. The words per serving show that the recipe is being described for one serving.

Same recipe, growing batch

Cups of fruit	3	6	9	12
Servings	1	2	3	4

Every column is the same relationship. The first column shows the unit rate: 3 cups for 1 serving.

Two lines, one rate

The top line counts cups, the bottom counts servings. Lining up 3 with 1 shows the unit rate, 3 cups per serving.

Rates can be written as a ratio or as a fraction. In a ratio like 20 miles in 4 hours, the unit rate helps you find the amount for 1 hour. Since 20 ÷ 4 = 5, the unit rate is 5 miles per hour. That means the road trip covers 5 miles in each hour.

Worked exampleExample 1: The lesson's recipe uses 6 cups of fruit for 2 servings. 6 ÷ 2 = 3, so the unit rate is 3 cups of fruit per serving, the same unit rate the table and double number line show.

Worked exampleExample 2: A road trip goes 27 miles in 3 hours. 27 ÷ 3 = 9, so the unit rate is 9 miles per hour.

In a phone plan, 30 texts for 2 dollars can be described with a unit rate of 15 texts per dollar. The unit rate makes the comparison easier because it shows the amount for just 1 dollar. This same thinking works for smoothies, road trips, and many other real-life situations.

Worked exampleExample 3: A phone plan gives 40 texts for 5 dollars. 40 ÷ 5 = 8, so the unit rate is 8 texts per dollar.

When you use rate language, be specific about what each number means. Say '3 cups per serving,' not just '3.' Say '4 miles per hour,' not just '4.' The units explain the relationship and help the rate make sense.

Rates and unit rates

Worked example: read across each row. The left column states a rate; the right column states that same rate for exactly 1.

A unit rate always keeps the second quantity equal to 1. If the comparison is 8 ounces of yogurt for 4 smoothies, divide both parts by 4 to find the unit rate. That gives 2 ounces per smoothie. This is the same relationship written in a simpler way for one smoothie.

Worked exampleExample 4: A smoothie shop uses 16 ounces of yogurt for 8 smoothies. 16 ÷ 8 = 2, so the unit rate is 2 ounces of yogurt per smoothie, the same relationship as 8 ounces for 4 smoothies, just a bigger batch.

Practice questions

1
A smoothie recipe uses 8 cups of fruit for 2 servings. What is the unit rate in cups per serving?
2
A phone plan has 18 texts for 3 dollars. What does the unit rate show for 1 dollar?
3
A student says 9 ounces of yogurt for 3 smoothies gives 6 ounces per smoothie because 9 - 3 = 6. What is the correct unit rate?
4
Which unit rate is greater: 9 miles in 3 hours or 16 miles in 4 hours? Enter the greater unit rate.
5
A smoothie recipe uses 15 ounces of yogurt for 3 smoothies. What is the unit rate in ounces per smoothie?
6
Compare these two rates: smoothie A has 10 ounces for 5 servings, and smoothie B has 6 ounces for 3 servings. What is the unit rate for each, and what number do both unit rates equal?
7
A student says 12 miles in 3 hours means 12 miles per hour. What is the correct unit rate?
8
A road trip uses 45 gallons of fuel for 9 hours of driving. What is the unit rate in gallons per hour?
9
A smoothie shop uses 12 bananas for 4 smoothies. How many bananas are used for 1 smoothie?
10
Two road trips are compared. Trip A: 21 miles in 3 hours. Trip B: 28 miles in 4 hours. What is the unit rate for each trip, and what number do both unit rates equal?
11
A student says 24 texts for 4 dollars means 4 texts per dollar. What is the correct unit rate?

Part of the question set is shown. Generate the whole intervention, freshly themed and with an answer key, for your own class in the product.

Watch for this

Common mistakes

Missing the “per 1” step: Students often divide the numbers but forget that a unit rate must show how much for 1 of the second quantity. They may also write the answer without units, or confuse subtraction with finding a unit rate, like saying 9 ounces for 3 smoothies gives 6 instead of 3 ounces per smoothie.

Vocabulary

Key terms

rate: A rate compares two quantities with different units.
unit rate: A unit rate tells about the amount for 1 of the second quantity.
per: Per shows that something is being described for one of another thing, like 3 cups per serving.
units: The units explain what each number means and help the rate make sense.

In the classroom

How to use this intervention

Use the first 10 minutes for a whole-class warm-up that models how to say unit rates with units, then send students into independent practice for the 23-minute worksheet. Pull a small group while the rest work if students need support finding the second quantity equal to 1 or correcting rate language.

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Questions educators ask

Educator FAQ

What grade level is this worksheet for?

This worksheet is for Grade 6.

Which CCSS standard does it align to?

It aligns to CCSS 6.RP.A.2, understanding unit rates and using rate language.

Is an answer key included?

Yes, the lesson includes the examples and questions needed to support an answer key.