Teaching Algebra with Manipulatives

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$Common Core-First Grade Math » Form A (Master Copy) » Teacher ...$

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

NAME ______________________________________________ DATE ____________ PERIOD ____ Mini-Project (Use with Algebra 1, Lesson 6-1) Multiplying Inequalities by 1 Work with a partner. Be sure that each of you understands each step in the examples. Example 1: Solve the inequality. 3 x 2x 3 x 2x 2x 2x Add 2x to each side. 3 x 0 3 x 3 0 3 Subtract 3 from each side. x 3 Example 2: Suppose that the inequality symbol is an equality symbol in Example 1. The equation might be solved as follows. 3 x 2x 3 x x 2x x Add x to each side. 3 x 3 x Multiply each side by 1. Example 3: Try to solve the inequality as the equation was solved. 3 x 2x 3 x x 2x x Add x to each side. 3 x Another way to state the inequality 3 x is x 3. Recall that the solution in Example 1 is x 3. The inequalities x 3 and x 3 are equivalent. Notice that the directions of the inequality symbols are reversed. In the last step of Example 2, each side of the equation is multiplied by 1. Finish the solution of the inequality. 3 x 3 x Multiply each side by 1. Multiply each side of the following inequalities by 1. 1. x 2 2. x 5 3. x 6 4. x 7 5. x 4 6. x 8 7. x 10 8. x 0 9. Complete the following. If a b, then (1)(a)________(1)(b). If a b, then (1)(a)________(1)(b). 10. What do you suppose is the result of multiplying each side of an inequality by any negative number? © Glencoe/McGraw-Hill 114 Teaching Algebra with Manipulatives
NAME ______________________________________________ DATE ____________ PERIOD ____ Algebra Activity Recording Sheet (Use with the Lesson 6-2 Preview Activity on page 324 in the Student Edition.) Solving Inequalities Materials: algebra tiles Explore Use algebra tiles to solve each inequality. 1. 4x 12 2. 2x 8 3. 3x 6 4. 5x 5 Algebra 1—Chapter 6 Make a Conjecture 5. In Exercises 1–4, is the coefficient of x in each inequality positive or negative? 6. Compare the inequality symbols and locations of the variable in Exercises 1–4 with those in their solutions. What do you find? 7. Model the solution for 2x 6. What do you find? How is this different from solving 2x 6? © Glencoe/McGraw-Hill 115 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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Page 91 and 92: Chapter 4 Teaching Notes and Overvi
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Page 101 and 102: Chapter 5 Using Overhead Manipulati
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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Page 137 and 138: Chapter 8 Polynomials Teaching Note
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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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