Constant of Proportionality From Tables
Written by Adi Ackerman, Head Teacher
"Constant of Proportionality From Tables" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.RP.A.2.B. A 6th grader who is already steady on ratios can use it too, and an older student can use it as a short review.
7th grade math worksheet: find the constant of proportionality k from tables and write the equation, such as x of 4, 8, 12 and 20. Answer key included. Part of our proportional relationships ratios collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with the equivalent ratios and table sheets, then move to graphs. Use Link Table, Graph, Equation and Story for One Rate as a review and Plan an Event With Proportional Relationships as a task.
What students will practice
- Students will find k by dividing y by x in a table.
- Students will write k as a whole number or a fraction in simplest form.
- Students will complete the equation y = kx for each table.
Unit Rates From Complex Fractions
Unit Rates With Fractions Word Problems
Match Fraction Rates to Unit Rates, Paces
Match Fraction Rates to Unit Rates, Recipes
Match Complex Fractions to Their Unit Rates
Find Speed, Time or Distance With Fractions
Compare Unit Prices With Fractional Amounts
Equivalent Ratios With Fractions and Decimals
Curriculum Links
Common Core State Standards
Ratios and Proportional Relationships · 7th Grade
Standard: Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
View all 7.RP.A.2.B worksheets →Find this in the curriculum
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FAQ
How do I use this proportional relationships worksheet?
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Start with the equivalent ratios and table sheets, then move to graphs. Use Link Table, Graph, Equation and Story for One Rate as a review and Plan an Event With Proportional Relationships as a task.
What does this worksheet teach?
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Find the constant of proportionality k from tables and write the equation, such as x of 4, 8, 12 and 20. The constant of proportionality k is the same value of y x for every pair, so y = kx. The directions on the page read: Find k for each table. Write k as a whole number or a fraction in simplest form. Then finish the equation. An answer key is included.
Can I use this proportional relationships worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade ratios, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
What is the constant of proportionality?
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It is the number k in y = kx, found by dividing y by x. It is also the unit rate. Read the Constant of Proportionality From a Graph has students divide the y value of a labeled point by its x value.
How can you tell from a graph if a relationship is proportional?
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The graph is a straight line that passes through (0, 0). Proportional or Not From Graphs asks for a written reason on each of six graphs.
What does the point (1, k) mean?
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It shows the unit rate, the amount of y for one unit of x. Constant of Proportionality From Graphs in Context uses grape prices, fuel use and pay to explain it.
How do you write an equation for a proportional relationship?
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Find k, then write y = kx. Write Proportional Equations From Tables and Write Proportional Equations From Situations practice this and use the equation to find a new y.
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Unit Rates From Complex Fractions
Unit Rates With Fractions Word Problems
Match Fraction Rates to Unit Rates, Paces
Match Fraction Rates to Unit Rates, Recipes
Match Complex Fractions to Their Unit Rates
Find Speed, Time or Distance With Fractions
Compare Unit Prices With Fractional Amounts
Equivalent Ratios With Fractions and Decimals