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 (Use with Algebra 1, Lesson 10-5) A Fascinating Fold Materials: grid paper, straightedge Collect the Data Step 1 Complete the table below for these three different exponential functions. x 2 x (x, 2 x ) 3 x (x, 3 x ) 4 x (x, 4 x ) 0 2 0 1 (0, 1) 3 0 1 (0, 1) 4 0 1 (0, 1) 1 2 3 4 5 Step 2 Step 3 6 Place (0, 0) near the bottom and the center of a sheet of grid paper. Label the x-axis by units of one and the y-axis by units of ten. Graph y 2 x by plotting the ordered pairs in Column 3 and connecting the points with a smooth curve. Fold the grid paper along the y-axis and hold it up to a window. Mark the points from y 2 x onto Quadrant II. Unfold the paper and connect the points with a smooth curve. The function in Quadrant II is the exponential function y 1 2 x . Use your graph and the table from Step 1 to finish the table at the right. x 1 2 x x, 1 2 x 0 1 2 0 1 (0, 1) 1 1 2 1 2 (1, 2) 2 3 4 5 6 Analyze the Data 1. Repeat Steps 2 and 3 for y 3 x . What is the equation of the function in Quadrant II? 2. Repeat Steps 2 and 3 for y 4 x . What is the equation of the function in Quadrant II? 3. Write a paragraph describing any discoveries you made in this activity. © Glencoe/McGraw-Hill 180 Teaching Algebra with Manipulatives
NAME ______________________________________________ DATE ____________ PERIOD ____ Algebra Activity Recording Sheet (Use with the activity on page 569 in Lesson 10-7 of the Student Edition.) Graphs of Geometric Sequences Materials: grid paper Model Use grid paper to graph each geometric sequence. Name each common ratio. 1. 1, 2, 4, 8, 16,… 2. 1, 2, 4, 8, 16,… 3. 81, 27, 9, 3, 1,… 4. 81, 27, 9, 3, 1,… 5. 0.2, 1, 5, 25, 125,… 6. 0.2, 1, 5, 25, 125,… Algebra 1—Chapter 10 Analyze 7. Which graphs appear to be similar to an exponential function? 8. Compare and contrast the graph of geometric sequences with r 0 and r 0. 9. Compare the formula for an exponential function y c(a x ) to the value of the nth term of a geometric sequence. © Glencoe/McGraw-Hill 181 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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NAME ______________________________
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Using Overhead Manipulatives • Ha
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NAME ______________________________
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Formulas NAME _____________________
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NAME ______________________________
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Using Overhead Manipulatives Demons
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Using Logic NAME __________________
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NAME ______________________________
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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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NAME ______________________________
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Making Predictions Materials: NAME
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23 22 21 20 NAME __________________
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NAME ______________________________
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Compound Inequalities (Continued) 1
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Absolute Value NAME _______________
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NAME ______________________________
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NAME ______________________________
Page 137 and 138: Chapter 8 Polynomials Teaching Note
Page 139 and 140: Chapter 8 Teaching Notes and Overvi
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Page 147 and 148: Using Overhead Manipulatives Demons
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Page 153 and 154: Using Overhead Manipulatives (Use w
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Page 167 and 168: Factoring Trinomials Materials: NAM
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: Using Overhead Manipulatives • Ar
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 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
Page 213 and 214: Chapter 14 Teaching Notes and Overv
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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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NAME ______________________________
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Factoring Trinomials Materials: NAM
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NAME ______________________________
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NAME ______________________________
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Chapter 6 Quadratic Functions and I
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NAME ______________________________
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NAME ______________________________
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NAME ______________________________
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Chapter 7 Polynomial Functions Teac
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NAME ______________________________
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Algebra Activity Draw Graph each fu
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Chapter 8 Conic Sections Teaching N
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NAME ______________________________
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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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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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NAME ______________________________
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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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NAME ______________________________
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Simulations NAME __________________
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Chapter 13 Trigonometric Functions
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NAME ______________________________
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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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