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Representing patterns in linear relations

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7th Grade Math
13. MA.7.AR.4.2
13.1 Representing patterns in linear relations

Representing Patterns in Linear Relations

Turn a growing pattern into a linear rule by finding the constant difference added at each step.


What You'll Learn

A growing pattern that adds a constant amount each term is linear.
Find the constant difference between consecutive terms first.
That difference becomes the coefficient of n in the rule.
Check the rule against term 1 to find the added constant.
Plotting term number against the pattern's value gives a straight line.

What You'll Practice

1

Counting elements in visual patterns and organizing data in tables

2

Calculating slope from coordinate pairs with whole numbers and decimals

3

Solving for the y-intercept using the linear equation

4

Writing complete linear equations from tables of values

5

Using linear equations to predict values for given inputs

Why This Matters

Understanding linear patterns is essential throughout algebra and beyond. You'll use slope-intercept form to model real-world relationships like costs over time, distance vs. speed, and growth patterns. This foundation supports future work in graphing, systems of equations, and data analysis.

This Unit Includes

14 Video lessons
Practice exercises
Learning resources

Skills

Linear Relations
Slope
Y-Intercept
Tables of Values
Slope-Intercept Form
Patterns
Coordinate Pairs
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