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. [7-RP2a]

b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. [7-RP2b]

c. Represent proportional relationships by equations. [7-RP2c]

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.

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 (l,r) where r is the unit rate. [7-RP2d]

New content is highlighted ACOS 2009 Correlation
Sixth Grade

2 - Solve problems involving decimals, percents, fractions, and proportions.

8 - Determining the distance between two points on a scale drawing or a map using proportional reasoning.

Seventh Grade

4 - Write an algebraic equation that represents a pattern shown in a table, graph, or chart.

4.1 - Recognizing the relationship between numerical patterns in tables and their respective graphs on the coordinate plane.

11 - Solve problems involving ratios or rates, using proportional reasoning.

Eighth Grade

12.1 - Applying proportional reasoning to identify similar and congruent shapes.

12.3 - Determining ratios of perimeters and areas of similar triangles, trapezoids, and parallelograms.

I can compute actual lengths from a scale drawing.

I can compute fractional parts and use them for real world problems.

Changing Surface Areas - 7G6, 7RP1, 7RP2

I can solve real world problems involving surface area of cubes.

I can draw a model for a proportional relationship.

I can compute unit rate.

My Humble Opinion
Skills

Test for equivalent ratios in a table

Test for equivalent ratios by graphing

Graphing points on a coordinate plane

Identify the constant of proportionality in tables

Identify the constant of proportionality in graphs

Identify the constant of proportionality in equations

Identify the constant of proportionality in diagrams

Identify the constant of proportionality in verbal descriptions

Represent proportional relationships by equations

Explain what a point on the graph of a proportional relationship means

Vocabulary

Origin

Proportional

Equivalent

Unit rate

Additional Content

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 (l, r) where r is the unit rate.

Standards 2a and 2b seem very similar to the 2003 and 2009 standards 4.1 and 4.2. Those use the term "constant rate of change" instead of proportional relationship. 2a sounds like standard 4. The content of this objective is very similar to the old standard 4, but the rigor is increased.

## 7-RP2

## 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. [7-RP2a]

b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. [7-RP2b]

c. Represent proportional relationships by equations. [7-RP2c]

tis proportional to the numbernof items purchased at a constant pricep, the relationship between the total cost and the number of items can be expressed ast = pn.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 (l,r) where

ris the unit rate. [7-RP2d]New content is highlightedACOS 2009 CorrelationSixth Grade

- 2 - Solve problems involving decimals, percents, fractions, and proportions.
- 8 - Determining the distance between two points on a scale drawing or a map using proportional reasoning.

Seventh Grade- 4 - Write an algebraic equation that represents a pattern shown in a table, graph, or chart.
- 4.1 - Recognizing the relationship between numerical patterns in tables and their respective graphs on the coordinate plane.
- 11 - Solve problems involving ratios or rates, using proportional reasoning.

Eighth GradeCMP2 CorrelationBookInvestigationObjective7-RP2a

7-RP2b

7-RP2c

7-RP2c

7-RP2d

7-RP2c

7-RP2d

7-RP2d

7-RP2d

7-RP2d

7-RP2a

7-RP2b

7-RP2d

Resources

North Carolina's Lessons for Learning

Murphy to Manteo - 7G1, 7RP2

- I can compute actual lengths from a scale drawing.
- I can compute fractional parts and use them for real world problems.

Changing Surface Areas - 7G6, 7RP1, 7RP2My Humble OpinionSkills

- Test for equivalent ratios in a table
- Test for equivalent ratios by graphing
- Graphing points on a coordinate plane
- Identify the constant of proportionality in tables
- Identify the constant of proportionality in graphs
- Identify the constant of proportionality in equations
- Identify the constant of proportionality in diagrams
- Identify the constant of proportionality in verbal descriptions
- Represent proportional relationships by equations
- Explain what a point on the graph of a proportional relationship means

Vocabulary- Origin
- Proportional
- Equivalent
- Unit rate

Additional Content- 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 (l, r) where r is the unit rate.

Standards 2a and 2b seem very similar to the 2003 and 2009 standards 4.1 and 4.2. Those use the term "constant rate of change" instead of proportional relationship. 2a sounds like standard 4. The content of this objective is very similar to the old standard 4, but the rigor is increased.