Wyoming Math 6.EE.2c

Math6th GradeExpressions and Equations

The Standard

Write, read, and evaluate expressions in which letters stand for numbers. Use Order of Operations to evaluate algebraic expressions using positive rational numbers and whole-number exponents. Include expressions that arise from formulas in real-world problems.

2023 Wyoming Mathematics Content and Performance Standards · Apply and extend previous understandings of arithmetic to algebraic expressions.

Teacher's field guide

What This Standard Means

What Students Need to Do

Students turn word descriptions and formulas into expressions with letters. They read the expressions in words, substitute positive fractions or decimals, and use exponents and the order of operations to find a value.

What Mastery Looks Like

Given 2x² + 0.5 and x = 1.5, a student gets 5 and shows that squaring comes before multiplication. They can use A = lw to find a rectangle's area and label the answer in square units.

Common Misconceptions

Students may treat 3x as 3 + x or 2x² as (2x)². Some multiply before evaluating exponents or lose track of the order of operations when fractions and decimals appear together.

How to Assess It

On an exit ticket, ask: “Write 2x² + 1/2 in words, then evaluate it for x = 3/2. Show your substitution and steps.”

Lesson moves

Ways to Teach It

  1. Give pairs paper squares and fraction strips to model x² + 1/2 when x = 1/2, then have them calculate its value.

  2. Ask students to write and compare the calculations for 2x² and (2x)² when x = 1/2.

  3. Give pairs expression cards and value cards; partners substitute, calculate, and check answers against a key.

  4. Have students measure a desk in meters, then use A = lw to find its surface area from their decimal measurements.

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Printable 6.EE.2c Worksheet

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