Teaching Algebra with Manipulatives

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Using Overhead Manipulatives Demonstration 2 Factoring 2x 2 4xy • Use colored acetate to make 4 yellow xy tiles, or cut four rectangles out of a blank transparency and color them with a yellow transparency pen. (Make the x-dimension match the length of a 1 tile; make the y-dimension greater than the x-dimension.) Ask students how to model 2x 2 4xy. 2 x 2 tiles, 4 xy tiles xy xy x 2 x 2 xy xy • Form the rectangle shown at the right. Ask students to name the width and length. x, 2x 4xy Explain that x(2x 4xy) is not completely factored because each term on 2x 4xy has a common factor, 2x. xy xy xy xy • Ask students if a different rectangle can be made from the tiles. Form the rectangle shown at the right. Have them state the width and length of the rectangle. 2x, x 2y • Ask why 2x(x 2y) is completely factored. There are no common factors in x 2y. x 2 x 2 xy 2x x 2 x 2 x 2y xy xy xy • Point out that in each of these examples one dimension of the rectangle involved only one kind of tile (1 tiles, x tiles, or y tiles), and a constant or variable was a factor in each term of the polynomial. Ask students how this information can help you factor using the Distributive Property. Look for factors common to each term. © Glencoe/McGraw-Hill 158 Teaching Algebra with Manipulatives
Factoring Trinomials Materials: NAME ______________________________________________ DATE ____________ PERIOD ____ Algebra Activity Recording Sheet (Use with the Lesson 9-3 Preview Activity on pages 487–488 in the Student Edition.) product mat, algebra tiles Model Use algebra tiles to factor each trinomial. Algebra 1—Chapter 9 1. x 2 4x 3 2. x 2 5x 4 3. x 2 x 6 4. x 2 3x 2 5. x 2 7x 12 6. x 2 4x 4 7. x 2 x 2 8. x 2 6x 8 © Glencoe/McGraw-Hill 159 Teaching Algebra with Manipulatives
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Teaching Algebra with Manipulatives
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Contents Easy-to-Make Manipulatives
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Algebra 1 Activities Page 14-5 Alge
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Glencoe Mathematics Manipulatives G
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Centimeter Grid Paper © Glencoe/Mc
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Coordinate Planes © Glencoe/McGraw
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Coordinate Planes for Trigonometric
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Conic Graph Paper (circles and line
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Algebra Tiles (units) 1 1 1 1 1 1 1
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Integer Models Summary There are tw
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Equation Models Summary A zero pair
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Equation Mat © Glencoe/McGraw-Hill
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Rectangular Dot Paper © Glencoe/Mc
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Problem Solving Guide Problem: Expl
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Die Patterns Cut along the heavy bl
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© Glencoe/McGraw-Hill 24 Teaching
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Chapter 1 Mini-Project Evaluating E
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Chapter 1 Teaching Notes and Overvi
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Using Overhead Manipulatives (Use w
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The Distributive Property Materials
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Investigating Real-World Functions
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NAME ______________________________
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Using Overhead Manipulatives • Re
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NAME ______________________________
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Using Overhead Manipulatives • Ha
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NAME ______________________________
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Formulas NAME _____________________
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NAME ______________________________
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Using Overhead Manipulatives Demons
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Using Logic NAME __________________
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Using Overhead Manipulatives Demons
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NAME ______________________________
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NAME ______________________________
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NAME ______________________________
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Chapter 5 Using Overhead Manipulati
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Demonstration 2 Finding Slope: Zero
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Demonstration 2 Writing an Equation
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NAME ______________________________
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Making Predictions Materials: NAME
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Page 125 and 126: Compound Inequalities (Continued) 1
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Page 137 and 138: Chapter 8 Polynomials Teaching Note
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Page 171 and 172: Factoring Trinomials x NAME _______
Page 175 and 176: Difference of Squares Materials: NA
Page 177 and 178: Demonstration 2 Factoring 4x 2 4x
Page 179 and 180: Factoring Trinomial Squares Figure
Page 181 and 182: Chapter 10 Quadratic and Exponentia
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Page 187 and 188: Using Overhead Manipulatives • Ar
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Page 191 and 192: Chapter 11 Radical Expressions and
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Page 201 and 202: Chapter 12 Rational Expressions and
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Page 207 and 208: Chapter 13 Statistics Teaching Note
Page 209 and 210: Analyze the Data 1. Cut out the gra
Page 211 and 212: Investigating Percentiles Materials
Page 213 and 214: Chapter 14 Teaching Notes and Overv
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Simulations NAME __________________
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Investigating Polygons and Patterns
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Chapter 2 Linear Relations and Func
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NAME ______________________________
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NAME ______________________________
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Factoring Trinomials Materials: NAM
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NAME ______________________________
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NAME ______________________________
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Chapter 6 Quadratic Functions and I
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Chapter 7 Polynomial Functions Teac
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Algebra Activity Draw Graph each fu
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Chapter 8 Conic Sections Teaching N
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NAME ______________________________
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Conics NAME _______________________
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Locating Foci NAME ________________
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Conic Sections NAME _______________
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Chapter 9 Mini-Project Interpreting
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Rational Functions Materials: NAME
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NAME ______________________________
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Chapter 11 Sequences and Series Tea
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Chapter 11 Teaching Notes and Overv
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NAME ______________________________
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Algebra Activity Step 5 Step 6 Step
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Chapter 12 Teaching Notes and Overv
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Area Diagrams NAME ________________
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NAME ______________________________
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Simulations NAME __________________
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Chapter 13 Trigonometric Functions
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NAME ______________________________
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Investigating Regular Polygons Usin
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Chapter 14 Trigonometric Graphs and
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Teaching Algebra with Manipulatives

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