NY Next Generation Math NY-6.EE.1

Math6th GradeApply and extend previous understandings of arithmetic to algebraic expressions.

The Standard

Write and evaluate numerical expressions involving whole-number exponents.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students use whole-number exponents to write repeated multiplication compactly. They identify the base and exponent, then evaluate expressions containing powers.
What Mastery Looks Like: A student writes 5 × 5 × 5 as 5³ and evaluates it as 125. The student also evaluates a numerical expression that combines powers with other operations.
Common Misconceptions: Students may multiply the base by the exponent or apply the exponent only to the last factor in a grouped product. They may confuse 3² with 2³.
How to Assess It: Ask students to rewrite 2 × 2 × 2 × 2 × 2 with an exponent, then evaluate 2⁵ + 3² and explain both powers.

Lesson moves

Build square and cube arrays with tiles or linking cubes, then connect each model to base, exponent, and value.
Ask students to explain why 4³ is not the same as 4 × 3.
Play exponent match with repeated multiplication, exponential form, and value cards.
Use powers to describe the number of small cubes in larger cube-shaped packages.

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