# Common Core Standards: Math See All Teacher Resources

#### The Standards

# Grade 7

### Ratios and Proportional Relationships 7.RP.A.2

**2. Recognize and represent proportional relationships between quantities.**

We don't hear Superman complaining about having X-ray vision, but there's a way more useful kind of math-vision for seventh graders: the ability to see proportions. Knowing whether two fractions, ratios, or sets of quantities are proportional to each other is an essential skill your students will be building on for years to come, and we're not just saying that. Anytime your students rock a linear function, cross-multiply to solve for a variable, reduce a fraction, or puzzle through a percentage problem, they'll be using proportions in some way.

This standard has four different parts: testing out two quantities to see if they're proportional, tracking down the constant of proportionality (and knowing its relationship to a unit rate), transforming verbal proportions into equations, and navigating graphs of proportional relationships. They might not become super-powered crime-fighters or anything, but once students get this standard under their belts, they'll be unstoppable proportion-solving machines.

Let's just hope they use their powers for good and not for evil.

#### Standard Components

- CCSS.Math.Content.7.RP.A.2.a
- CCSS.Math.Content.7.RP.A.2.b
- CCSS.Math.Content.7.RP.A.2.c
- CCSS.Math.Content.7.RP.A.2.d

#### Links

Ratios and Proportional Relationships Worksheet 2Ratios and Proportional Relationships Worksheet 2 – Solutions

### Aligned Resources

- ACT Math 5.5 Pre-Algebra
- Inverse Variation
- Percents and Proportions
- Direct Variation
- CAHSEE Math 5.5 Algebra and Functions
- CAHSEE Math 5.5 Mathematical Reasoning
- CAHSEE Math 5.5 Number Sense
- Solving Proportions Using Cross Products
- The Golden Ratio
- Ratios and Percents
- Solving Proportions Using Cross Multiplication - Math Shack
- Equivalent Ratios - Math Shack
- Understanding Graphs of Proportional Relationships: Representation - Math Shack
- Understanding Graphs of Proportional Relationships: Identification - Math Shack
- Direct and Inverse Variation - Math Shack
- Direct Variation - Math Shack
- Direct Variation Word Problems - Math Shack
- Golden Ratio - Math Shack
- Equivalent Ratios on a Number Line - Math Shack
- Number Line Ratios - Math Shack
- Word Problems Involving Unit Rates - Math Shack
- Unit Rate as Slope - Math Shack
- More Word Problems with Percents and Proportions - Math Shack
- Word Problems with Percents and Proportions - Math Shack