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Math 7 Constant of Proportionality

Authored by Rachel Luthy

Mathematics

7th Grade

CCSS covered

Used 308+ times

Math 7 Constant of Proportionality
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About

This quiz focuses on the constant of proportionality within proportional relationships, a fundamental algebraic concept in seventh-grade mathematics. Students must demonstrate mastery of identifying proportional relationships from tables, graphs, and equations, calculating the constant of proportionality using the formula k = y/x, and writing equations in the form y = kx. The questions require students to analyze various representations of proportional relationships, distinguish between proportional and non-proportional relationships, recognize that proportional relationships pass through the origin, and understand that the constant of proportionality represents the unit rate. Students need strong foundational skills in working with ratios, fractions, and coordinate graphing, along with the ability to interpret real-world contexts involving rates and unit costs. Created by Rachel Luthy, a Mathematics teacher in US who teaches grade 7. This quiz serves as an excellent tool for formative assessment, allowing teachers to gauge student understanding of proportional relationships before moving to more complex algebraic concepts. The variety of question formats—from identifying formulas to analyzing graphs and tables—makes it versatile for use as a warm-up activity, guided practice during instruction, or homework assignment to reinforce classroom learning. Teachers can also use individual sections for targeted review of specific skills like writing equations or calculating constants of proportionality. The quiz aligns with Common Core State Standards 7.RP.A.2, which focuses on recognizing and representing proportional relationships between quantities, and 7.RP.A.2b, which requires students to identify the constant of proportionality in tables, graphs, equations, and verbal descriptions of proportional relationships.

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30 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the correct formula for finding the constant of proportionality?

k=xyk=\frac{x}{y}

k=yxk=\frac{y}{x}

y=kxy=\frac{k}{x}

x=kyx=\frac{k}{y}

Tags

CCSS.7.RP.A.2B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The point (0, 0) is called the origin.

True
False

Tags

CCSS.6.NS.C.6B

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which of the tables above represents a proportional relationship?

a & c
a, b & c
a, c & d
all of them

Tags

CCSS.7.RP.A.2A

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the constant of proportionality for the table above?

2
1/2
3
None of the above

Tags

CCSS.7.RP.A.2B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The constant of proportionality is also the unit rate.

True
False

Tags

CCSS.7.RP.A.2B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What is the constant of proportionality of the graph above? (Use the point given to help)

0

1/6

60

10

Tags

CCSS.7.RP.A.2B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the constant of proportionality of the graph above?

16
1/16
1
None of the above

Tags

CCSS.7.RP.A.2B

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