Hands on algebra with fractions and mixed numbers
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Hands-On Algebra with Fractions and Mixed Numbers. Hands-On Equations. Connecting to Algebra. When you hear the word “algebra”, what do you think of? What are some things you know about algebra? How might you use algebra in real-life?

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Connecting to algebra
Connecting to Algebra

  • When you hear the word “algebra”, what do you think of?

  • What are some things you know about algebra?

  • How might you use algebra in real-life?

  • Think of a time when you have used algebra. Why was this important? (Money, “how much more do I need to have a certain amount?”, etc.)

The language of algebra
The Language of Algebra

What is an equation?

An equation is a number sentence that contains an equal sign.

Example of an equation: x+ ½ = 1

The language of algebra1
The Language of Algebra

What is a variable?

A variable is a letter or other symbol that represents an unknown number in an equation.

Example of a variable: x + ½ = 1

We do not yet know what the value of “x” is, so “x” is the variable.

In Hands-On Equations, the blue pawns represent the variable in your equation.

Your hands on materials
Your Hands-On Materials

  • Yellow “Balance” board

  • Each side of your balance is equal to the other!

  • Your goal is to have only pawns on one side, and only numbers/fractions on the other.

  • Let’s make a balance. How can I keep it in balance? What can I do to make it balanced?

Your hands on materials1
Your Hands-On Materials

  • Blue Pawns “x”

  • The blue pawns represent your variables.

  • All your blue pawns have the same value in each equation, it’s your job to find the value!

Your hands on materials2
Your Hands-On Materials

  • Red Number Cubes

  • The red cubes represent your whole numbers.

Your hands on materials3
Your Hands-On Materials

  • Fraction Squares

  • The fraction squares represent your fractions.

Pre hands on equations question
Pre-Hands on Equations Question

Solve for x without using a calculator.

x + ½ = 7/8

x = _____

Chk: _____ = _____

Think- What does “x” have to be equal to in order for the sum of the addition problem to be 7/8?

Let s do some together
Let’s do some together!

  • We will now work through problems 1-10 on your Hands-On Guided Practice page.

Post hands on equations questions
Post- Hands on Equations Questions

  • X + 2/5 = 1

    x = _____

    Chk: _____ = _____

  • 4x + 1/6 = 4 1/6

    x = ______

    Chk: _____ = _____

Make up your own equations
Make up your own equations!

  • With your partner, make up some hands-on equations yourself.

  • You will have to test out some different ways!

  • Be sure to check your equations for correctness and create a separate answer key for your equations.