Unit 3: Unit Rates and Percentages

Students develop understanding of unit rates and percentages, building on prior work with equivalent ratios and constant rates and using measurement and unit-conversion situations to reason about rates per 1 and rates per 100.

Choose a worksheet

PDFs open in a new tab. Print or save them from your browser. Use the paired answer guide to check your work. No login needed.

Unit

Review the unit’s main ideas.

📝 Open worksheet PDF ✅ Open answer guide PDF

Concept

Start with the core idea.

📝 Open worksheet PDF ✅ Open answer guide PDF

Practice

Build fluency with more questions.

Set 1

📝 Open worksheet PDF ✅ Open answer guide PDF

Set 2

📝 Open worksheet PDF ✅ Open answer guide PDF

Advanced

Try more challenging problems.

Set 1

📝 Open worksheet PDF ✅ Open answer guide PDF

Set 2

📝 Open worksheet PDF ✅ Open answer guide PDF

What this unit covers

A Units of Measurement and Unit Conversion · 3 lessons

Goals

• Recognize that when we measure things in two different units, the pairs of measurements are equivalent ratios. Apply this understanding to convert a measurement from one unit to another unit.
• Use a “rate per 1” to solve problems involving unit conversion.

Lessons

1. Anchoring Units of Measurement
2. Measuring with Different-Size Units (Optional)
3. Converting Units

B Rates · 6 lessons

Goals

• Apply reasoning about ratios and unit rates to solve problems and explain the solution methods.
• Calculate the two unit rates associated with a ratio and interpret them in the context of a situation.

Lessons

1. Comparing Speeds and Prices
2. Interpreting Rates
3. Equivalent Ratios Have the Same Unit Rates
4. More Rate Comparisons
5. Solving Rate Problems
6. More about Constant Speed (Optional)

C Percentages · 7 lessons

Goals

• Choose a strategy to solve problems involving percentages and explain the solution method.
• Create tape diagrams, double number line diagrams, or tables to represent situations involving percentages.

Lessons

1. What Are Percentages?
2. Representing Percentages with Double Number Line Diagrams
3. Representing Percentages in Different Ways
4. Benchmark Percentages
5. Solving Percentage Problems
6. Finding This Percent of That
7. Finding the Percentage (Optional)

D Let’s Put It to Work · 1 lesson

Lessons

1. Painting a Room

Helpful to know first

The curriculum says this unit builds on these.

Grade 6 Math · Unit 2 Introducing Ratios

Open unit →