Teaching Algebra with Manipulatives

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$Common Core MCISD Math Grade 4 12/13 Part 1 Â» Form A (Master ...$

Using Overhead Manipulatives (Use with Algebra 1, Lesson 7-3) Elimination Using Addition and Subtraction Objective Solve systems of equations by the elimination method using addition and subtraction. Materials • algebra tiles* • equation mat transparency* * available in Overhead Manipulative Resources Demonstration Elimination Using Addition and Subtraction • Place 2 positive x-tiles and 1 negative y-tile on the left side of the equation mat transparency and 4 positive 1-tiles on the right side. Ask students what equation is represented on the mat. 2x y 4 • Below the representation for 2x y 4 on the mat, place 1 positive x-tile and 1 positive y-tile on the left side of the equation mat and 10 negative 1-tiles on the right side. Have students state what equation is represented below 2x y 4. x y 10 x x x y y 1 1 1 1 1 1 1 1 1 1 1 1 1 1 • Remind students that, in solving equations, the goal is to get the 1 positive x-tile or 1 positive y-tile by themselves on one side. • Review the use of zero pairs in adding and subtracting integers. Tell students that a zero pair of y-tiles are formed when a positive y-tile is paired with a negative y-tile. On the right side of the mat there are 5 zero pairs. Remove all zero pairs. x x x y y 1 1 1 1 1 1 1 1 1 1 1 1 1 1 • Arrange the remaining tiles on the right side into 3 equal groups so they correspond to the 3 x-tiles. Ask students how many tiles correspond to each x-tile. 2 negative 1-tiles • Have students substitute 2 for x in 2x y 4 and in x y 10 and solve for y. Ask students, “What is the solution to the system of equations 2x y 4 and x y 10?’’ 2, 8 x x x 1 1 1 1 1 1 © Glencoe/McGraw-Hill 126 Teaching Algebra with Manipulatives
NAME ______________________________________________ DATE ____________ PERIOD ____ Algebra Activity Transparency Master (Use with Algebra 1, Lesson 7-5) Graphing Systems of Inequalities y x Algebra 1—Chapter 7 © Glencoe/McGraw-Hill 127 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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Using Overhead Manipulatives • Re
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Using Overhead Manipulatives • Ha
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Formulas 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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Page 83 and 84: Using Overhead Manipulatives (Use w
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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 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
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Using Overhead Manipulatives • Ar
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Chapter 11 Radical Expressions and
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Chapter 12 Rational Expressions and
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Chapter 13 Statistics Teaching Note
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Analyze the Data 1. Cut out the gra
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Investigating Percentiles Materials
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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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Factoring Trinomials Materials: NAM
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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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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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Chapter 11 Sequences and Series Tea
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Algebra Activity Step 5 Step 6 Step
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Area Diagrams NAME ________________
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Simulations NAME __________________
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Chapter 13 Trigonometric Functions
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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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