Let’s Do Algebra Tiles

Notes from the Day Things to think about when teaching using manipulatives

Notes from the Day Things to think about when teaching using manipulatives

Name: ____________________________ Addition/Subtraction of Real Numbers Date: ___________

Expression Tile ModelWritten Description of

ProcedureMathematical Procedure

(Algorithm)

(+3) + (+1)

(-2) + (-1)

(+3) + (-1)

(+3) + (-4)

Name: ____________________________ Addition/Subtraction of Real Numbers Date: ___________

Expression Tile ModelWritten Description of

Procedure

Mathematical Procedure

(Algorithm)(+5) – (+2)

(-4) – (-3)

(+3) – (-5)

(-4) – (+1)

(+3) – (-3)

Name: ________________________ Multiplication of Real Numbers Date: ___________

Problem ModelWritten Description of

Procedure

Mathematical Procedure

(Algorithm)(+2)(+3)

(+3)(-4)

(-2)(+3)

(-3)(-1)

Name: ________________________ Division of Real Numbers Date: ___________

Problem ModelWritten Description of

Procedure

Mathematical Procedure

(Algorithm)(+6)/(+2)

(-8)/(+2)

(+10)/(-2)

(-12)/(-3)

Name: ____________________ Solving/Modeling Equations using Algebra Tiles Date: ___________

Equation Tile ModelWritten Description of

Procedure

Mathematical Procedure

(Algorithm)x + 2 = 3

2 x – 4 = 8

2 x + 3 = x – 5

Name: _________________ Solving/Modeling Equations using Algebra Tiles (Jigsaw Page 1)

Date: _________

Equation Tile ModelWritten Description of

ProcedureMathematical Procedure

(Algorithm)

2x = -8

1. One negative x is equal to 52. Take the opposite of each side of the equation3. One x is equal to five negative units

3x = 2 + x -x -x2x = 2 ÷2 ÷ 2 x = 1

Name: _________________ Solving/Modeling Equations using Algebra Tiles (Jigsaw Date: ___________

Page 2)

Equation Tile ModelWritten Description of

ProcedureMathematical Procedure

(Algorithm)

2x + 1 = 5

1. Three negative x’s and two units are same as 52. Subtract two units from each side of the equation3. Divide both sides of the equation into two equal groups4. Flip both sides of the equation to make them opposites5. One x is equal to one negative unit

-x -x x – 3 = 2

+3 +3x = 5

Name: ____________________ Simplifying the Distributive Property using Algebra Tiles

Date: ___________

Expression Tile ModelWritten Description of

Procedure

Mathematical Procedure

(Algorithm)4(x + 2)

3(x – 4)

-2(x + 2)

-3(x – 2)

Name: _________________ Simplifying Polynomials using Algebra Tiles Date: ___________

Expressions Tile Model Mathematical Procedure (Algorithm)

2x2

4xy

3y2

-3x2 – 4xy

Name: _________________ Simplifying Polynomials using Algebra Tiles Date: ___________

Expressions Tile Model Mathematical Procedure (Algorithm)

2x + 3

4x – 2

2x + 4 + x + 2

-3x + 1 + x + 3

Name: _________________ Simplifying Polynomials using Algebra Tiles Date: ___________

Expressions Tile Model Mathematical Procedure (Algorithm)

3x – 1 – 2x + 4

(2x2 + 5x – 3) + (-x2 + 2x + 5)

(2x2 – 2x + 3) – (3x2 + 3x – 2)

Substitution:3 + 2x for x = 4

Name: _________________ Multiplying Polynomials using Algebra Tiles Date: ___________

Expressions Tile Model Mathematical Procedure (Algorithm)

(12)(13) = (10+2)(10+3)

(x + 2)(x + 3)

(x – 1)(x +4)

(x + 2)(x – 3)

Name: _________________ Multiplying/Factoring Polynomials using Algebra Tiles Date: ___________

Expressions Tile Model Mathematical Procedure (Algorithm)

(x – 2)(x – 3)

3x + 3

2x – 6

x2 + 6x + 8

x2 – 5x + 6

Name: _________________ Multiplying/Factoring Polynomials using Algebra Tiles Date: ___________

Expressions Tile Model Mathematical Procedure (Algorithm)

x2 – 5x + 6

x2 – x – 6

x2 + x – 6

x2 – 1

x2 – 4

2x2 – 3x – 2

2x2 + 3x – 3

-2x2 + x + 6

Name: _________________ Dividing Polynomials using Algebra Tiles Date: ___________

Expressions Tile Model Mathematical Procedure (Algorithm)???

x 2 + 7 x +6 x + 1

x 2 + 7 x +6 x + 1

2 x 2 + 5 x – 3 x + 3

x 2 – x – 2 x – 2

x 2 + x – 6 x + 3

Name: _______________________ Addition of Fractions (Jigsaw Page) Date: ___________

Problem ModelSimplified

ModelMathematical Procedure

(Algorithm) Simplify

½ + ¾

2/3 + 1/6

(2/3 • 2/2 = 4/6)4/6 + 1/6

5/6

9/6 = 1 3/6

1 3/6 = 1 1/2