Understanding Expressions with Algebra Tiles
Grade 6 Mathematics Exploring Variables and Constants Building Math with Manipulatives
Have You Ever Used a Secret Code?
Think about games with mystery numbers What if letters could represent unknown numbers? Today we'll decode mathematical expressions!
What is an Algebraic Expression?
A mathematical phrase with numbers, letters, and operations Letters are called variables (they represent unknown numbers) Numbers can be constants or coefficients Example: 3x + 2
Meet the Algebra Tiles
Blue rectangles = x-tiles (variables) Yellow squares = unit tiles (constants) We can build expressions by arranging these tiles Let's start with 3x + 2
Parts of an Expression: 3x + 2
{"left":"3 is the coefficient (tells us how many x's)\nx is the variable (unknown number)","right":"+ is the operation (addition)\n2 is the constant (known number)"}
Build It Together: 2x + 4
Work with your partner Use your algebra tiles to build 2x + 4 Write the expression on your whiteboard Explain each part to your partner
Quick Check: Can You Identify the Parts?
Look at this expression: 5y - 3 What is the coefficient? What is the variable? What is the constant? What is the operation?
What We Learned Today
Algebraic expressions are like math codes Variables are letters that represent unknown numbers We can use algebra tiles to build and understand expressions Every expression has parts: coefficients, variables, constants, and operations