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Overview
Grade 6 Math
Patterns and Relations
10. NL.SO.6PR1
10.1 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.
Before You Start — Make Sure You Can:
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
NL Curriculum Aligned