NY Next Generation Math NY-6.EE.2.b
The Standard
Identify parts of an expression using mathematical terms (term, coefficient, sum, difference, product, factor, and quotient); view one or more parts of an expression as a single entity.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students name parts of expressions as terms, coefficients, factors, sums, differences, products, or quotients. They also treat a grouped part as one mathematical object.
What Mastery Looks Like
- In 4(x + 3), the student identifies 4 and x + 3 as factors and x + 3 as a sum. The student can describe the whole expression as a product.
Common Misconceptions
- Students may call every number a coefficient, including a constant term. They may ignore parentheses and name x and 3 as separate factors of 4(x + 3).
How to Assess It
- Display 5a + 2(b - 1). Ask students to identify the terms, coefficients, factors, and one grouped expression treated as a single entity.
Lesson moves
Ways to Teach It
Give students expression strips to cut, bracket, and label as terms, factors, coefficients, sums, products, and quotients.
Ask students to describe 3(8 + y) in two ways, including how 8 + y acts as one entity.
Play expression vocabulary bingo using examples that students must match to term, factor, coefficient, sum, product, or quotient.
Label the parts of a cost expression that combines a flat fee with a price per item.
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Related Standards
- NY-7.EE.2
Understand that rewriting an expression in different forms in real-world and mathematical problems can reveal and explain how the quantities are related.
- NY-7.EE.1
Add, subtract, factor, and expand linear expressions with rational coefficients by applying the properties of operations.
- NY-6.EE.2.c
Evaluate expressions given specific values for their variables. Include expressions that arise from formulas in real-world problems. Perform arithmetic operatio...
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