## ◂Math Worksheets and Study Guides Seventh Grade. Numerical Proportions

### The resources above correspond to the standards listed below:

#### Maryland College and Career-Ready Standards

MD.MA.7.RP. Ratios and Proportional Relationships (RP)
Analyze proportional relationships and use them to solve real-world and mathematical problems.
7.RP.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like and or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2 / 1/4 miles per hour, equivalently 2 miles per hour.
7.RP.1.2. Ability to recognize the difference(s) between a unit rate and a ratio (see 7.G.1).
7.RP.2. Recognize and represent proportional relationships between quantities.
7.RP.2a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
7.RP.2a.1. Ability to recognize in a given proportional situation that the two “between ratios” and the two “within ratios” are the same.
7.RP.2a.3. Ability to recognize that two equal ratios represent a proportion.
7.RP.2b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams and verbal descriptions of proportional relationships.
7.RP.2b.1. Ability to express unit rates using a variety of representations, given a contextual situation.
7.RP.3. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
7.RP.3.2. Ability to relate “between” ratios and “within” ratios to the cross-product and factor of change algorithms.
MD.MA.7.G. Geometry (G)
Draw, construct, and describe geometrical figures and describe the relationships between them.
7.G.1. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
7.G.1.1. Ability to describe and identify ratios and proportions (see 7.RP.1 and 7.RP.2).