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 12-9) Rational Roundup Work in pairs. Solve the problems. Cut out the rectangles and match each rectangle with another one with the same answer. A. Simplify. G. Solve. 3 c 9 3c c 3 3c 9 x 1 3 x 2 2 B. Solve. H. Solve. 2 2 3 6 1 5 x x 3 2 y 2y y 2 y 2 C. Simplify. I. Simplify. 3y 15 y 5 x 5y x 7y y y x y x y D. Solve. J. Simplify. 5 n 1 12 6 2 3 x 2 2x 15 x 2 4x 5 x 2 x 2 x 2 6 x E. Simplify. K. Simplify. 4 x2 135xy 5x 10 2x 4 3y 36x 3 3 6 F. Simplify. L. Simplify. 3x 6 x 2 5 10 12x 2 48 4x 2 16 Now that you have completed the match, you will see that the final answers have a mathematical relationship. What is it? © Glencoe/McGraw-Hill 198 Teaching Algebra with Manipulatives
Chapter 13 Statistics Teaching Notes and Overview Algebra Activity Modeling Data (pp. 200–202 of this booklet) Use With Lesson 13-3. Objectives Collect, organize, and display data in a histogram. Use the problem-solving strategy make a table to find various ways to make sums for two dice and to display data in a graph. Materials for each pair of students, grid paper two dice colored pencils scissors tape This Algebra Activity involves two activities. In the first activity, students roll dice and record the sums in order to have some real-world data to graph. Before beginning this activity, have students guess which sums will be rolled most frequently. Have students work in pairs. Each student can roll a pair of dice 25 times to make the collection of data go more quickly. After the students have finished, you may want to compile the data for the class and graph it to see how the class graph compares to the graphs of each group. In the second activity, students use a table to record the various ways to make sums from two dice. Each pair needs two-different colored dice. Students can use this information to understand why certain sums occurred more often in the first activity. Point out that the sum 1 3 is different from 3 1. Using different colored dice will help them to keep track. Students will see that the sum of 7 should occur most frequently and that the sums of 2 and 12 will seldom occur. Interested students may want to design games where various points are awarded for certain sums that are rolled. Algebra Activity Recording Sheet Investigating Percentiles (p. 203 of this booklet) Use With Lesson 13-5 as a follow up activity. This corresponds to the activity on pages 743–744 in the Student Edition. Objective Collect and analyze data dealing with percentiles, and then, make a conjecture, and conduct an investigation. Materials grid paper Ask students to read the information at the top of the recording sheet. Then question the students about the information to check on their understanding. Students should know the meaning and the relationship between a percentile and the cumulative frequency table. Direct the students’ attention to the SAT data in the Collect Data section. Discuss the SAT results displayed in both tables and in the histograms. Ask questions about the data. Let students tell what the data shows. Divide the class into groups of two or three students. Tell students that there are three sets of exercises to complete, namely, Exercises 1–3, 4–7, and 8. After each set of exercises is completed, the groups will compare and discuss answers. You may need to monitor each group to check on their progress as they work on each set. Interested students may want to do an investigation of data similar to Exercise 8. Have them share their investigation and results with the class. Answers See Teacher Wraparound Edition pp. 743–744. Algebra 1—Chapter 13 Answers 1. See students’ graphs. 2. The sums of 2, 3, 11, and 12 occur very seldom. The sums of 6, 7, and 8 occur fairly often. © Glencoe/McGraw-Hill 199 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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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 157 and 158: Using Overhead Manipulatives (Use w
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Page 167 and 168: Factoring Trinomials Materials: NAM
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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 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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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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