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Seventh Grade Math
Seventh Grade Math
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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
is proportional to the number
of items purchased at a constant price
, the relationship between the total cost and the number of items can be expressed as
t = pn.
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
is the unit rate. [7-RP2d]
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ACOS 2009 Correlation
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.
- 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.
- Solve problems involving ratios or rates, using proportional reasoning.
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.
Comparing & Scaling
Moving Straight Ahead
Stretching & Shrinking
Variables & Patterns
Common Core Investigations
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, 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
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
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.
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