Common Core Mathematics 7 (CCM-7) Unit 2 Starting Points
Unit 2: Ratios and Proportional Relationships
Essential Questions:
o What are the types/varieties of situations in life that depend on or require the application
of ratios and proportional reasoning?
o How can a complex fraction be simplified?
o What is the difference between a unit rate and a ratio?
o What is a proportion?
o Why are multiplicative relationships proportional?
o How are equivalent ratios, values in a table, and ordered pairs connected?
o What characteristics define the graphs of all proportional relationships?
Standards:
Analyze proportional relationships and use them to solve real-world and mathematical
problems.
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.
7.RP.A.2. Recognize and represent proportional relationships between quantities.
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.
b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams,
and verbal descriptions of proportional relationships.
c. Represent proportional relationships by equations.
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.
7.RP.A.3. Use the proportional relationships to solve multi-step ratio and percent problems.
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.
This document represents one sample starting points for the unit. It is not all-inclusive and is only one
planning tool. Please refer to the wiki for more information and resources.
Approximate Unit Length: 25 days
Standard(s)
7.RP.A.1
7.RP.A.2.a
7.RP.A.2.b
7.RP.A.2.d
Days
6-8
Notes
Big Ideas:
Compute unit rates associated with ratios of fractions (including
lengths, areas, and other quantities) measured in like or different units.
Determine whether or not two quantities are proportional.
Identify the unit rate of proportional relationships given tables, graphs,
equations, diagrams and verbal descriptions.
Graph proportional relationships. (Informally understand unit rate as
slope)
Resources:
 Task: Apple Pie
 Task: Party Planning
 Task: Photo Sizes
 Task: Mandarin Orange Cake Recipe
 Task: Popping Corn
 Task: Ball Bounce
 Lesson: Hair and Nails…How fast do they grow?
 Lesson: Graphing Proportional Relationships
 NCTM Illuminations: Feeding Frenzy
 TI Lesson: Spring Scales
Assessment Limit/Clarification:
This standard is part of the major content cluster assessed on PARCC.
Students will build on prior understanding of proportional
relationships from Grade 6. Student in Grade 7 grow in their ability to
recognize, represent, and analyze proportional relationships in various
ways, including by using tables, graphs, and equations. Examples of
Connections to Standards for Mathematical Practices: Proportional
relationships present opportunities for modeling (MP4).
Assessment Items:
 PARCC Prototype Item: Spicy Veggies
 PARCC Prototype Item: Speed
 Illustrative Mathematics: Cooking with the Whole Cup
 Illustrative Mathematics: Track Practice
 Illustrative Mathematics: Art Class
 Illustrative Mathematics: Art Class, Variation 2
 Illustrative Mathematics: Buying Coffee
 Illustrative Mathematics: Sore Throat, Variation 1
 Illustrative Mathematics: Robot Races
This document represents one sample starting points for the unit. It is not all-inclusive and is only one
planning tool. Please refer to the wiki for more information and resources.
7.RP.C.2.c
7.RP.A.3
7-9
Big Ideas:
Represent proportional relationships by equations.
Use ratios and proportions to solve percent problems (discount,
interest, taxes, tips, percent of increase and decrease).
Resources:
 Lesson: Shrinky Dinks
 Lesson: Pancake Breakfast
 Lesson: Comparison Shopping
 Lesson: Movie Revenue
 Task: 7th grade dance
 NCTM Illuminations: Highway Robbery
 NCTM Illuminations: It’s not heavy, its your grade
 NCTM Illuminations: Now and Then
 NCTM Illuminations: Who lost more?
Assessment Limit/Clarification:
This standard is part of the major content cluster assessed on
PARCC.
Assessment Items:
 PARCC Prototype Item: TV Sales
 Illustrative Mathematics: Buying Protein Bars and Magazines
 Illustrative Mathematics: Chess Club
 Illustrative Mathematics: Comparing Years
 Illustrative Mathematics: Friends meeting on bikes
 Illustrative Mathematics: Music Companies, Variation 2
 Illustrative Mathematics: Selling Computers
 Illustrative Mathematics: Tax and Tip
 Illustrative Mathematics: Sand Under the Swing Set
 Illustrative Mathematics: Stock Swaps, Variation 2
 Illustrative Mathematics: Sale!
7.G.A.1
6-8
Big Ideas:
Solve problems involving scale drawing.
Solve for the missing side of similar figures.
Resources:
 Task: Spring Dance
 Lesson: Mascot Murals
Assessment Limit/Clarification:
This standard is considered additional content assessed on PARCC.
Students grow in their ability to analyze proportional relationships
This document represents one sample starting points for the unit. It is not all-inclusive and is only one
planning tool. Please refer to the wiki for more information and resources.
(7.RP). This standard requires students to apply proportional reasoning
when they analyze scale drawings.
Assessment Items:
 Illustrative Mathematics: Floor Plan
Howard County Public Schools Office of Secondary Mathematics Curricular Projects has
licensed this product under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0
Unported License.
This document represents one sample starting points for the unit. It is not all-inclusive and is only one
planning tool. Please refer to the wiki for more information and resources.