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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
