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 Demonstration 2 Solving Equations Using More Than One Operation • Clear the mat and blank transparency. Write the equation 6 a 2 below the mat. Ask students how 4 you can model this equation. Place 6 positive counters on the left side. Mark a cup with 4 equal sections and shade one section. Place that cup along with 2 positive counters on the right side. Model the equation. • Ask students what you should undo first to solve this equation, the division or addition. addition Remove 2 positive counters from each side and ask students to state the equation now shown. 4 a 4 a 6 2 4 • Remind students that you can multiply each side of an equation by the same number without changing the value of the equation. Ask them how many groups of one-fourth cups it would take to make a whole cup. 4 Replace one-fourth cup with a whole cup. Then place 12 more positive counters on the right side to make four groups of 4 counters. Ask students to state the solution. 16 To check the solution, model the original equation. Ask students, “If 16 counters are in a whole cup, how many counters are there in one-fourth of a cup?” 4 Replace the partial cup with 4 counters and check that each side has the same value. Extension Modeling and Solving a Word Problem • Present students with the following problem. “There are three consecutive even integers whose sum is 6. What are the integers?” Tell students that you will let a cup represent the first integer. Place a cup on the left side of the mat. Ask how you could represent the second integer and why. a cup and 2 positive counters; since the integers are consecutive even integers, the second is 2 more than the first Ask how to represent the third integer. a cup and 4 positive counters; to represent 2 more than the second integer Place the cup and counters on the left side of the mat. Then place 6 negative counters on the right side to represent the sum of the integers. • Ask students to suggest procedures for finding the value of the cup. Add 6 zero pairs to the right side and then remove 6 positive counters from each side or add 6 negative counters to each side and then remove the zero pairs from the left side. Then separate the counters on the right side into three equal groups to correspond to the three cups on the left. The value of each cup is 4. Refer back to the original problem. Remind students that you used a cup to represent the first integer, so the first integer is 4. Ask them to state the other two integers. 2, 0 Confirm by addition that the sum of three even integers 4, 2, and 0 is 6. © Glencoe/McGraw-Hill 70 Teaching Algebra with Manipulatives
NAME ______________________________________________ DATE ____________ PERIOD ____ Algebra Activity Transparency Master (Use with Algebra 1, Lesson 3-4) Solving Equations TOY BOX WRAPPING RIBBON PRESENT PAPER Wrap a gift C A C Unwrap a gift Wrap an x algebraically x 3 2 13 Unwrap x using inverse operations Algebra 1—Chapter 3 13 2 3 x © Glencoe/McGraw-Hill 71 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
Page 28 and 29: Problem Solving Guide Problem: Expl
Page 30 and 31: Die Patterns Cut along the heavy bl
Page 32 and 33: © Glencoe/McGraw-Hill 24 Teaching
Page 35 and 36: Chapter 1 Mini-Project Evaluating E
Page 37 and 38: Chapter 1 Teaching Notes and Overvi
Page 39 and 40: Using Overhead Manipulatives (Use w
Page 41 and 42: The Distributive Property Materials
Page 43 and 44: Investigating Real-World Functions
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Page 69 and 70: Using Overhead Manipulatives Demons
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Page 105 and 106: Demonstration 2 Finding Slope: Zero
Page 109 and 110: Demonstration 2 Writing an Equation
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Page 113 and 114: Making Predictions Materials: NAME
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Page 125 and 126: Compound Inequalities (Continued) 1
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Using Overhead Manipulatives Demons
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Chapter 7 Teaching Notes and Overvi
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Chapter 8 Polynomials Teaching Note
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Using Overhead Manipulatives (Use w
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Factoring Trinomials Materials: NAM
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Factoring Trinomials x NAME _______
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Difference of Squares Materials: NA
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Demonstration 2 Factoring 4x 2 4x
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Factoring Trinomial Squares Figure
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Chapter 10 Quadratic and Exponentia
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Chapter 10 Teaching Notes and Overv
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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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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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