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Introduction to Algebra Tiles Created by Nancy M c Alinden Numeracy Lead Teacher N.B. District 14

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Remember how we modeled integers? Legend ? ? + -

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What is this worth? Legend + - ZERO PAIRS (-2)

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What is this worth? Legend

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Algebra Tiles work the same way! Legend

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Algebra Tiles work the same way! Legend

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Algebra Tiles work the same way! Legend

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Model this question: (-2) + (+3) = Legend zero pairs

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But… Algebra Tiles can show MORE!

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Legend + - These tiles help us model the unknown! The variable! The mystery number!

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Legend + - These tiles represent x! (Or n) (or whatever letter youre using for the variable or unknown amount.)

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Legend + - One side represents a positive variable; the other side represents a negative.

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What does this show? Legend x3x

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What does this show? Legend x

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What does this show? Legend x

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What does this show? Legend x + 4

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What does this show? Legend x - 6

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What does this show? Legend x + 5

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What does this show? x + 3

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But what is x worth? We dont know until: 1.) someone tells us the value of x Or 2.) we have some information about the other side of the equation!

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3x = 9 This line represents the = sign, or the middle of the balance scale.

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If 3x = 9, …what is one x worth?

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3x = 9

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x = 3

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Solve for x: x + 2 = 6

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Solve for x: X + 2 = 6 We want a single x alone on one side and its value (the number of units or squares) on the other.

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Solve for x: x + 2 = 6 We can subtract the 2 units (or squares) from the left IF we also subtract 2 units from the right. This keeps the balance.

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Solve for x: x + 2 = 6 x + 2 – 2 = 6 - 2

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Solve for x: x = 4

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Solve for x: 2x + 4 = 8

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Solve for x: 2x + 4 = 8 We want a single x alone on one side and its value (the number of units or squares) on the other.

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Solve for x: 2x + 4 = 8 We can remove the 4 positive units from the left as long as we keep the balance and remove 4 positives from the right too. 2x = 8 - 4

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Solve for x: 2x + 4 = 8 Now we have 2 x on one side and 4 on the other. We want one x. 2x = 4

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Solve for x: 2x + 4 = 8 We cant subtract an x from the left because we dont have an x to subtract from the right, but… 2x = 4

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Solve for x: We can divide them and share fairly: 2x = 4

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Solve for x: 2x = 4

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Solve for x: 2x = 4 ___ = __ 2 2

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Solve for x: x = 2

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What about the big squares?

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They represent x 2 and (-x 2 ).

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Well use them in high school!

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Not all sets of algebra tiles are the same colours as the set weve seen here. How can you tell which side is negative?

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The negative side is the colour that is the same for all sizes of tiles in the set: White = negative

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The negative side is the colour that is the same for all the tiles in the set: Black = negative

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