Wyoming Math 6.EE.6

Math6th GradeExpressions and Equations

The Standard

Use variables to represent unknown numbers and write expressions when solving a real-world or mathematical problem.

2023 Wyoming Mathematics Content and Performance Standards · Reason about and solve one-variable equations and inequalities.

Teacher's field guide

What Students Need to Do: Students choose a letter for an unknown number and say what it represents. They write an expression that matches the quantities and operations in a problem.
What Mastery Looks Like: Given a $3 notebook price and a $2 fee per order, a student writes 3n+2 for the cost of n notebooks. They explain why the fee is added once and find the cost for four notebooks.
Common Misconceptions: Students may write 3+n when they mean three times n. They may write 3(n+2) for a fee charged once per order, or use n without saying what it counts.
How to Assess It: Exit ticket: A ticket costs $8, plus a $3 fee per order. Write an expression for t tickets, tell what t means, and find the cost of four tickets.

Lesson moves

Give pairs three paper cups holding equal numbers of counters and two loose counters; have them write an expression for the total.
Ask students to explain why 3n+2 matches three equal cups and two loose counters, but 3(n+2) does not.
Give groups story cards and expression cards, including 5x+4 and 5(x+4); award points for matches they can explain.
Post a taxi fare of $4 plus $2 per mile; students write an expression and calculate the fare for six miles.

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