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7th Grade Proportional Relationships Worksheets

7th Grade Proportional Relationships: find unit rates and the constant of proportionality from tables, graphs and equations. Every worksheet is free, prints as a PDF with an answer key, and can be assigned online. The ones teachers open most are first.

← All 7th grade topics 7.RP.1 7.RP.2A 7.RP.2B 7.RP.2C 7.RP.2D

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7th Grade Proportional Relationships Worksheets - Constant of Proportionality (tables) worksheet

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Constant of Proportionality (tables)

7rp2b

Student objectives

Find the constant of proportionality (k) by comparing the two columns in a table.
Use division to figure out the unit rate from a table of equivalent ratios.

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7th Grade Proportional Relationships Worksheets - Determining Proportionality with Tables worksheet

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Determining Proportionality with Tables

7rp2a

Student objectives

Decide whether two columns in a table show a proportional relationship.
Find the constant of proportionality by comparing each pair of values in the table.
Use unit rate to check if the ratio stays the same across the table.
Spot when a table is not proportional because the ratios change from row to row.

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7th Grade Proportional Relationships Worksheets - Creating Equivalent Ratios worksheet

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Creating Equivalent Ratios

7rp2a

Student objectives

Fill in a missing number to make two ratios equivalent.
Scale a ratio up or down by multiplying or dividing both parts by the same number.
Recognize when two ratios compare quantities in the same way, even if the numbers look different.
Use equivalent ratios to keep a constant rate when you change the size of a group or amount.

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7th Grade Proportional Relationships Worksheets - Constant of Proportionality (Graphs) worksheet

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Constant of Proportionality (Graphs)

7rp2b

Student objectives

Find the constant of proportionality (k) from a graph by comparing y to x.

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7th Grade Proportional Relationships Worksheets - Using Unit Rates with Fractions worksheet

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Using Unit Rates with Fractions

7rp1

Student objectives

Find a unit rate when the numbers are fractions, like how much for 1 cup or 1 mile.
Divide fractions to figure out “per 1” amounts and compare rates.
Use unit rates to decide which option is a better deal or a better speed.

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7th Grade Proportional Relationships Worksheets - Examining Graphs worksheet

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Examining Graphs

7rp2d

Student objectives

Practice reading values from a graph by using the axes and scale.
Decide which statements about the data are true based on what the graph shows.
Use information from a graph to answer questions without guessing.

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7th Grade Proportional Relationships Worksheets - Understanding Unit Rate worksheet

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Understanding Unit Rate

7rp1

Student objectives

Find the unit rate by figuring out the amount for 1 item, 1 hour, or 1 mile.
Use unit rates to compare two deals or situations and decide which is better.

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7th Grade Proportional Relationships Worksheets - Examining Y=KX worksheet

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Examining Y=KX

7rp2b

Student objectives

Use the rule y = kx to find a missing value when you know the constant rate and one other value.
Figure out what k means in a word problem (the amount per 1) and use it to solve.
Decide whether a situation is proportional and can be modeled by y = kx.

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7th Grade Proportional Relationships Worksheets - Expressing Equations worksheet

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Expressing Equations

7rp2c

Student objectives

Turn a proportional relationship into an equation using a variable.
Identify the constant of proportionality (unit rate) and use it as the number that multiplies the variable.
Translate a word statement about “times as much” or “per” into an equation with an equals sign.
Match a situation to the correct equation form (like y = kx) and label what the variables represent.

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7th Grade Proportional Relationships Worksheets - Finding Equivalent Unit Fraction with Fractions worksheet

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Finding Equivalent Unit Fraction with Fractions

7rp1

Student objectives

Find a unit fraction that is equivalent to a given fraction.
Use multiplication or division to scale the numerator and denominator by the same number.
Compare two fractions to confirm they represent the same amount.

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7th Grade Proportional Relationships Worksheets - Explaining X and Y with Proportionality worksheet

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Explaining X and Y with Proportionality

7rp2d

Student objectives

Find the constant of proportionality (unit rate) from a table, graph, or equation.
Explain what x and y represent in a proportional situation using words and ratios.

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More 7th grade topics

Adding & Subtracting Integers 18 Angle Relationships 7 Probability 14 Multiplying & Dividing Rational Numbers 8 Circles: Area & Circumference 4 Percent Problems 9 Simplifying Expressions 5 Triangles & Cross Sections 4 Scale Drawings 3 Samples & Populations 2 Compound Events & Sample Spaces 6 Equations & Inequalities 1

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