Algebra Real World Math Problem: 5th 6th 7th Gr Patterns & Expressions

This lesson is an excellent addition to a pre-algebra unit in grades 6 or 7 to help show students a real-world application of using expressions, tables of values, and graphing to solve a simple, everyday financial literacy decision.

Students are tasked with deciding how to pay to visit a new wave pool in the neighbourhood. They can pay a flat monthly fee or pay a smaller fee and then pay a small amount each time they go. The trick will be determining how often they are likely to go each month.

Students get to:

• Analyze a realistic scenario

• Complete two tables of values

• Write a pattern rule in words and turn it into an expression with a variable

• Create a simple line graph to compare the two options visually

• Explain their decision in words using evidence from their mathematical work

This lesson can be used in various ways: it can be used during full-class instruction or smaller group activities. It could be regular classwork, a homework assignment, or even a summative assessment. I liked to have students complete it near the end of our algebra unit to assess skills before the unit test and to have as an artifact for parent-teacher conferences.

An extension challenge is offered that is specifically designed for early finishers. A complete answer key is also included for easy marking out of twenty points.

Grades to Use With:

This lesson is designed for upper elementary or middle school students in grades 5-7. It could also be used in high school special education classrooms.

What's Included:

7 Page PDF with three page student assignment, title page, and complete answer key.

If you enjoy this algebra activity, check out others in my store:

• Modelling Equations: Visual Balance Scales

• Independent and Dependent Variables in Grade 6 Math: Hockey Math

• Solving Systems of Equations Using Substitution

• Inequality Matching Game

• Exponent Board Game

• Writing and Solving Two-Step Equations