7.RP. Grade 7 - Ratios and Proportional Relationships

7.RP.A. Analyze proportional relationships and use them to solve real-world and mathematical problems.

• Climbing the steps of El Castillo
• Drill Rig
• Dueling Candidates
• Perfect Purple Paint II
• Sale!
• Stock Swaps, Variation 2
• Stock Swaps, Variation 3
• Temperature Change
• Thunder and Lightning
• Track Practice

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 $\frac{1/2}{1/4}$ miles per hour, equivalently $2$ miles per hour.

• Cider versus Juice - Variation 1
• Cider versus Juice - Variation 2
• Cooking with the Whole Cup
• Molly's Run
• Molly's Run, Assessment Variation
• Track Practice

7.RP.A.2. Recognize and represent proportional relationships between quantities.

• Art Class, Assessment Variation
• Art Class, Variation 1
• Art Class, Variation 2
• Buying Bananas, Assessment Version
• Buying Coffee
• Music Companies, Variation 1
• Robot Races
• Robot Races, Assessment Variation
• Scaling angles and polygons
• Sore Throats, Variation 1
• Walk-a-thon 2

7.RP.A.2.a. 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.

• Cider versus Juice - Variation 2
• Gym Membership Plans

7.RP.A.2.b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

• Cider versus Juice - Variation 1
• Cider versus Juice - Variation 2

7.RP.A.2.c. 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 $t = pn$.

• Gym Membership Plans
• Proportionality

7.RP.A.2.d. Explain what a point $(x, y)$ on the graph of a proportional relationship means in terms of the situation, with special attention to the points $(0, 0)$ and $(1, r)$ where $r$ is the unit rate.

• No tasks yet illustrate this standard.

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.

• Anna in D.C.
• Buying Protein Bars and Magazines
• Chess Club
• Comparing Years
• Double Discounts
• Finding a 10% increase
• Friends Meeting on Bikes
• Gotham City Taxis
• How Fast is Usain Bolt?
• Lincoln's math problem
• Measuring the area of a circle
• Music Companies, Variation 2
• Sand Under the Swing Set
• Selling Computers
• Tax and Tip
• The Price of Bread
• Two-School Dance