Solving Expressions: Algebra Made Simple

Grade 6 Special Education Resource Class Understanding Variables and Simple Equations 15-Minute Interactive Lesson

Learning Objectives

Understand and write simple algebraic expressions Solve one-step equations with addition and subtraction Translate word problems into math expressions

Common Core Standards

CCSS.MATH.CONTENT.6.EE.B.6: Use variables in expressions CCSS.MATH.CONTENT.6.EE.B.7: Solve real-world equations Building foundation for advanced algebra

Engage: The Apple Problem

I have 3 apples and get some more Now I have 7 apples total How many apples did I get? Let's write this as: 3 + ___ = 7

What is an Algebraic Expression?

A number and a letter combined with math operations The letter represents an unknown number Examples: x + 3, 5 + x, 7 - x We call the letter a 'variable'

Solving Equations: The Balance Scale Method

Translating Word Phrases

{"left":"A number increased by 4\nx + 4\nSeven less than a number\nx - 7","right":"Ten more than a number\nx + 10\nA number decreased by 5\nx - 5"}

Guided Practice: Your Turn!

Use your dry erase boards Translate: 'A number decreased by 5' Translate: 'Ten more than a number' Solve: x + 8 = 12

Quick Check: Can You Solve This?

x - 2 = 6 What does x equal? Show your thinking! Use drawings or algebra tiles if helpful

Summary: What We Learned Today

Variables (like x) represent unknown numbers We can translate words into algebraic expressions Equations can be solved by balancing both sides Practice makes algebra easier!