7.RP.A. Analyze proportional relationships and use them to solve real-world and mathematical problems.
CCSS: Mathematics, CCSS: Grade 7, Geometry
7.G.A. Draw construct, and describe geometrical figures and describe the relationships between them.
- 7.RP.A.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like 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 ½ / ¼ miles per hour, equivalently 2 miles per hour.
- 7.RP.A.2. Recognize and represent proportional relationships between quantities.
- 7.RP.A.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.A.2b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
- 7.RP.A.2c. Represent proportional relationships by equations.For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
- 7.RP.A.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.
CCSS: Mathematics, CCSS: Grade 7, Geometry
7.G.A. Draw construct, and describe geometrical figures and describe the relationships between them.
- 7.G.A.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.