Partnering Secondary Math with Microsoft Excel Karen Ferrell National Edition
About the Author Karen Ferrell Earning two degrees from the University of North Texas (B.S. and M. Ed.), Karen Ferrell has taught for twenty-nine years as a high school geometry teacher, middle school math and computer literacy teacher, and Instructional Technology Coordinator for Northwest ISD. Her technology integration ideas have been enthusiastically received at conferences for mathematics, technology, social studies, and curriculum. In 2005-2006, she won the prestigious Outstanding Instructor of Adult and Community Education award for the state of Texas.
INTRODUCTION Table of Contents Teacher Rights and Responsibilities... vii EXCEL BASICS The Screen...1 Cells...1 Entering Data...1 Making the Data Fit...2 Formulas...2 Functions...3 Error Handling...5 Formatting...5 Zoom...7 Viewing/Hiding Gridlines...8 Charts...9 Worksheet Protection...9 Concatenation...11 Saving...11 Printing...13 ALGEBRA LESSONS Lesson 1: Ratios and Proportions Discovery Activity 1: Creating Equivalent Ratios...15 Discovery Activity 2: Proportional Rectangles...16 Self-Checking Activity: Complete the Proportion...17 Lesson 2: Probability Discovery Activity 1: Simple Probability with a Number Cube (Die)...19 Discovery Activity 2: Simple Probability with Colored Squares...21 Self-Checking Activity: Simple Probability...24 Discovery Activity 3: Compound Probability...25 Discovery Activity 4: Compound Probability With and Without Replacement...26 Self-Checking Activity 2: Compound Probability...28 i
Lesson 3: Scientific Notation Discovery Activity 1: Scientific Notation with Positive Exponents...29 Self-Checking Activity 1: Scientific Notation with Positive Exponents...30 Discovery Activity 2: Scientific Notation with Negative Exponents...31 Self-Checking Activity 2: Scientific Notation with Negative Exponents...33 Lesson 4: Solving Linear Equations Discovery Activity 1: Solving Linear Equations (Addition, Subtraction, Division)...35 Guided Practice 1: Solving Linear Equations (Addition, Subtraction, Division)...36 Discovery Activity 2: Solving Linear Equations (Addition, Subtraction, Multiplication)...36 Guided Practice 2: Solving Linear Equations (Addition, Subtraction, Multiplication)...37 Self-Checking Activity: Solving Linear Equations (Mixed Practice)...38 Lesson 5: Slope and Y-Intercept of Linear Equations Discovery Activity: Exploring the Slope/Y-Intercept Form of an Equation...39 Self-Checking Activity: Linear Equation Matching Game...40 Student Activity: Creating a Linear Graph...42 Lesson 6: More Slope Rise over Run Discovery Activity 1: Rise over Run with User Input...47 Discovery Activity 2: Rise over Run Randomly Generated...48 Self-Checking Activity: Writing the Equation of a Pictured Line...49 Lesson 7: Parallel and Perpendicular Lines Discovery Activity 1: Parallel Lines Randomly Generated...53 Guided Practice 1: Parallel Lines with Student Input...54 Discovery Activity 2: Perpendicular Lines Randomly Generated...54 Guided Practice 2: Perpendicular Lines with Student Input...55 Self-Checking Activity: Matching Parallel and Perpendicular Equations...55 Lesson 8: Quadratic Equations Discovery Activity 1: The x 2 Variable...57 Discovery Activity 2: Two Variables...58 Discovery Activity 3: Three Variables...58 Self-Checking Activity: Parabola Matching Exercise...59 Student Activity: Parabola Pandemonium...61 ii
Lesson 9: Systems of Equations Discovery Activity 1: Systems of Equations...65 Discovery Activity 2: Checking the Solution...66 Student Activity: Present a System of Equations and Solution...66 Self-Checking Activity: Solving Systems of Equations...67 GEOMETRY LESSONS Lesson 10: Circle Sectors Discovery Activity 1: What is a Sector?...71 Discovery Activity 2: Calculating Sector Area...72 Student Practice: Finding Sector Area Practice...73 Student Activity 1: Creating a Pie Graph...74 Student Activity 2: Formula for Sector Area...78 Lesson 11: Equations of Circles Discovery Activity 1: Center at the Origin...79 Discovery Activity 2: Center Not at the Origin...80 Self-Checking Activity 1: Determining the Equation of a Circle...81 Self-Checking Activity 2: Determining the Center and Radius of a Circle...82 Lesson 12: The Pythagorean Theorem Discovery Activity 1: Finding the Length of the Hypotenuse...85 Guided Practice 1: 1 st Quadrant Practice...86 Guided Practice 2: All Quadrants Practice...87 Student Activity 1: Creating an Excel Formula to Find the Hypotenuse...87 Discovery Activity 2: Finding the Length of a Leg...88 Guided Practice 3: Finding the Length of a Leg with no Picture...89 Student Activity 2: Creating an Excel Formula to Find the Length of a Leg...90 Lesson 13: The Distance Formula Discovery Activity 1: Distance Formula Introduction...91 Guided Practice 1: Substituting Values into the Distance Formula...92 Self-Checking Activity: Calculating the Distance between Two Points...93 Student Activity: Creating an Excel Formula to Calculate the Distance...94 iii
Lesson 14: Midpoint Formula Discovery Activity: Midpoint Demonstration...95 Guided Practice 1: Substituting Values into the Midpoint Formula...96 Guided Practice 2: Finding the Midpoint...97 Self-Checking Activity: Finding the Midpoint (No Graphs)...98 Student Activity: Creating an Excel Formula to Find the Midpoint...99 Lesson 15: Area of Polygons Area of Rectangles Discovery Activity 1: Area of a Rectangle on a Coordinate Grid...103 Guided Practice 1: Area of a Rectangle Practice...104 Self-Checking Activity 1: Area of a Rectangle Given the Length and Width...105 Student Activity: Creating an Excel Formula to Find the Area of a Rectangle...106 Area of Parallelograms Discovery Activity 2: Area of a Parallelogram on a Coordinate Grid...106 Guided Practice 2: Area of a Parallelogram Practice...107 Self-Checking Activity 2: Area of a Parallelogram Given the Base and Height...108 Student Activity 2: Creating an Excel Formula to Find the Area of a Parallelogram...109 Area of Triangles Discovery Activity 3: Area of Right Triangles...109 Guided Practice 3: Practice Finding the Area of a Right Triangle...110 Discovery Activity 4: Area of Any Triangle...111 Guided Practice 4: Area of Any Triangle on a Coordinate Grid...112 Self-Checking Activity 3: Area of a Triangle Mixed Practice...113 Student Activity 3: Creating an Excel Formula to Find the Area of a Triangle...114 iv
Lesson 16: Similar Polygons Discovery Activity 1: Similar Rectangle Ratios...115 Discovery Activity 2: Solving Proportions for Similar Rectangles...116 Guided Practice 1: Solving Proportions for Similar Rectangles...117 Discovery Activity 3: Similar Triangle Ratios...117 Discovery Activity 4: Solving Proportions for Similar Triangles...118 Guided Practice 2: Solving Proportions for Similar Triangles...119 Discovery Activity 5: Similar Parallelogram Ratios...119 Discovery Activity 6: Solving Proportions for Similar Parallelograms...120 Guided Practice 3: Solving Proportions for Similar Parallelograms...121 Self-Checking Activity 1: Setting Up and Solving a Proportion for Similar Polygons...122 Student Activity: Solving a Proportion with a Formula...123 Lesson 17: Area of Similar Polygons Discovery Activity 1: Width vs. Area Ratios...125 Discovery Activity 2: Perimeter vs. Area Ratios...126 Discovery Activity 3: Changing Linear Ratios to Area Ratios...127 Self-Checking Activity 1: Calculating Area Ratios...128 Discovery Activity 4: Setting Up and Solving Area Proportions...129 Discovery Activity 5: Solving More Area Proportions...130 Guided Practice: Solving Area Proportions with Student Input...130 Self-Checking Activity 2: More Practice Solving Area Proportions...131 Lesson 18: Dilations Discovery Activity 1: Graphing Enlargements...133 Guided Practice 1: Graphing Enlargements with Student Input...134 Discovery Activity 2: Graphing Reductions...135 Guided Practice 2: Graphing Reductions with Student Input...135 Self-Checking Activity: Dilations Practice...136 Student Activity: Graphing a Triangle and Its Dilation...138 v
Lesson 19: Transformations Reflections Discovery Activity 1: Reflections Over the X-Axis...143 Guided Practice 1: Reflections Over the X-Axis with Student Input...144 Discovery Activity 2: Reflections Over the Y-Axis...144 Guided Practice 2: Reflections Over the Y-Axis with Student Input...145 Discovery Activity 3: Reflections Over the Y=X Axis...145 Guided Practice 3: Reflections Over the Y=X Axis with Student Input...146 Rotations Discovery Activity 4: 90 Degree Rotations...146 Guided Practice 4: 90 Degree Rotations with Student Input...147 Discovery Activity 5: 180 Degree Rotations...148 Guided Practice 5: 180 Degree Rotations with Student Input...148 Discovery Activity 6: 270 Degree Rotations...149 Guided Practice 6: 270 Degree Rotations with Student Input...149 Translations Discovery Activity 7: Introduction to Translations...150 Guided Practice 7: Translation Practice...151 Guided Practice 8: More Translation Practice...151 Student Activity: Graphing Transformations of a Triangle...152 Lesson 20: Sine, Cosine, and Tangent Ratios Discovery Activity 1: The Tangent Ratio...157 Discovery Activity 2: The Sine Ratio...158 Discovery Activity 3: The Cosine Ratio...159 Guided Practice: Trigonometric Ratios and Angle Measures...160 Appendix Self-Checking Activity Keys...161 vi