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Patterns

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7th Grade Math
7. MA.7.AR.1.2
7.2 Patterns

Number Patterns and Algebra

Learn to spot the rule behind number and shape patterns, write it algebraically, and use it to predict any term in a sequence.


What You'll Learn

Identify the common difference or ratio that links consecutive terms in a number sequence.
Translate a pattern rule into an algebraic expression using the term number as the variable.
Apply a pattern's rule to predict a term far ahead without listing every value in between.
Compare arithmetic patterns, geometric patterns, and shape patterns such as the Fibonacci sequence.
Complete a table of values and check a proposed rule against every given term before trusting it.

What You'll Practice

1

Counting elements in visual patterns and completing tables

2

Writing expressions using variables and coefficients

3

Converting between fractions and repeating decimals

4

Substituting given values into expressions to find unknowns

Why This Matters

Understanding patterns builds your foundation for algebra by connecting visual sequences to mathematical expressions. This skill helps you recognize relationships in data, predict future values, and translate real-world situations into equations you can solveessential for success in higher-level math.

This Unit Includes

9 Video lessons
Practice exercises
Learning resources

Skills

Patterns
Variables
Expressions
Tables of Values
Coefficients
Repeating Decimals
Substitution
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