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 ____ Algebra Activity Recording Sheet (Use with the activity on page 626 in Lesson 11-7 of the Student Edition.) Make a Hypsometer Materials: piece of string, straw, paper clip, protractor, tall object outside, yardstick Analyze 1. Make a sketch of your measurements. Use the equation tan (angle of height of object x elevation) , where x represents distance from the distance of object ground to your eye level, to find the height of the object. 2. Why do you have to subtract the angle measurement on the hypsometer from 90° to find the angle of elevation? 3. Compare your answer with someone who measured the same object. Did your heights agree? Why or why not? © Glencoe/McGraw-Hill 192 Teaching Algebra with Manipulatives
Chapter 12 Rational Expressions and Equations Teaching Notes and Overview Using Overhead Manipulatives Dividing Polynomials by Monomials and by Binomials (pp. 195–196 of this booklet) Use With Lesson 12-5. Objective Dividing polynomials by monomials and by binomials using algebra tiles. Materials algebra tiles* product mat transparency* transparency pen* blank transparencies * available in Overhead Manipulative Resources This demonstration contains two activities. Both activities use algebra tiles and the area of a rectangle to model dividing polynomials. Students need to know what the 1 tile, x tile, and x 2 tile represent. • Demonstration 1 shows how to use algebra tiles to divide 2x 2 6x by 2x. First, 2x 2 6x is modeled. From this model, the two x 2 tiles and one x tile are placed on the product mat transparency. Students are asked to build the rectangle with the remaining tiles on the mat. The length is 2x and the width is x 3. The width, x 3, is the quotient of 2x 2 6x and 2x. • Demonstration 2 models the quotient of x 2 5x 6 and x 2. Like in Demonstration 1, x 2 5x 6 is modeled using algebra tiles. Then the x 2 tile and two of the 1 tiles are placed on the product mat. Next, students are asked to build the rectangle with the remaining tiles on the mat. The length is x 2 and the width is x 3. The width, x 3, is the quotient of x 2 5x 6 and x 2. Provide additional examples showing how to use algebra tiles to model dividing polynomials. Let students discover that algebra tiles cannot be used to divide polynomials with non-zero remainders. The latter situation is addressed in the Algebra Activity on page 667 of the Student Edition. Discuss with students how they can divide without using models. Answers Answers appear on the teacher demonstration instructions on pages 195–196. Algebra Activity Recording Sheet Dividing Polynomials (p. 197 of this booklet) Use With the activity on page 667 in Lesson 12-5 of the Student Edition. Objective Divide a polynomial by a binomial using algebra tiles. Materials algebra tiles* * available in Overhead Manipulative Resources Have students read and study the illustration of x 2 3x 2 divided by x 1. Discuss the process as a class. Form groups of two or three students to use algebra tiles to complete the Algebra Activity. Ask students to draw the completed rectangle for each of the Exercises 1–4 and to draw around the dimension that is the quotient. Discuss the quotients. Next, have them work Exercise 5. Students cannot model this division using algebra tiles, because of the existence of a non-zero remainder. Discuss with students how they can divide without using models. Answers See Teacher Wraparound Edition p. 667. Mini-Project Rational Roundup (p. 198 of this booklet) Use With Lesson 12-9. Objective Solve rational equations. Add, subtract, multiply, and divide rational expressions. Materials scissors Algebra 1—Chapter 12 © Glencoe/McGraw-Hill 193 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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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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Making Predictions Materials: NAME
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23 22 21 20 NAME __________________
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Compound Inequalities (Continued) 1
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Absolute Value NAME _______________
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Chapter 8 Polynomials Teaching Note
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Page 167 and 168: Factoring Trinomials Materials: NAM
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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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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 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
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Page 217 and 218: Simulations NAME __________________
Page 221 and 222: Investigating Polygons and Patterns
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Page 225 and 226: Chapter 2 Linear Relations and Func
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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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Chapter 11 Teaching Notes and Overv
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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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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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