Partnering Secondary Math with Microsoft Excel

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2 Partnering Secondary Math with Microsoft Excel Karen Ferrell National Edition

3 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 , she won the prestigious Outstanding Instructor of Adult and Community Education award for the state of Texas.

4 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

5 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

6 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

7 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 Guided Practice 1: Area of a Rectangle Practice Self-Checking Activity 1: Area of a Rectangle Given the Length and Width Student Activity: Creating an Excel Formula to Find the Area of a Rectangle Area of Parallelograms Discovery Activity 2: Area of a Parallelogram on a Coordinate Grid Guided Practice 2: Area of a Parallelogram Practice Self-Checking Activity 2: Area of a Parallelogram Given the Base and Height Student Activity 2: Creating an Excel Formula to Find the Area of a Parallelogram Area of Triangles Discovery Activity 3: Area of Right Triangles Guided Practice 3: Practice Finding the Area of a Right Triangle Discovery Activity 4: Area of Any Triangle Guided Practice 4: Area of Any Triangle on a Coordinate Grid Self-Checking Activity 3: Area of a Triangle Mixed Practice Student Activity 3: Creating an Excel Formula to Find the Area of a Triangle iv

8 Lesson 16: Similar Polygons Discovery Activity 1: Similar Rectangle Ratios Discovery Activity 2: Solving Proportions for Similar Rectangles Guided Practice 1: Solving Proportions for Similar Rectangles Discovery Activity 3: Similar Triangle Ratios Discovery Activity 4: Solving Proportions for Similar Triangles Guided Practice 2: Solving Proportions for Similar Triangles Discovery Activity 5: Similar Parallelogram Ratios Discovery Activity 6: Solving Proportions for Similar Parallelograms Guided Practice 3: Solving Proportions for Similar Parallelograms Self-Checking Activity 1: Setting Up and Solving a Proportion for Similar Polygons Student Activity: Solving a Proportion with a Formula Lesson 17: Area of Similar Polygons Discovery Activity 1: Width vs. Area Ratios Discovery Activity 2: Perimeter vs. Area Ratios Discovery Activity 3: Changing Linear Ratios to Area Ratios Self-Checking Activity 1: Calculating Area Ratios Discovery Activity 4: Setting Up and Solving Area Proportions Discovery Activity 5: Solving More Area Proportions Guided Practice: Solving Area Proportions with Student Input Self-Checking Activity 2: More Practice Solving Area Proportions Lesson 18: Dilations Discovery Activity 1: Graphing Enlargements Guided Practice 1: Graphing Enlargements with Student Input Discovery Activity 2: Graphing Reductions Guided Practice 2: Graphing Reductions with Student Input Self-Checking Activity: Dilations Practice Student Activity: Graphing a Triangle and Its Dilation v

9 Lesson 19: Transformations Reflections Discovery Activity 1: Reflections Over the X-Axis Guided Practice 1: Reflections Over the X-Axis with Student Input Discovery Activity 2: Reflections Over the Y-Axis Guided Practice 2: Reflections Over the Y-Axis with Student Input Discovery Activity 3: Reflections Over the Y=X Axis Guided Practice 3: Reflections Over the Y=X Axis with Student Input Rotations Discovery Activity 4: 90 Degree Rotations Guided Practice 4: 90 Degree Rotations with Student Input Discovery Activity 5: 180 Degree Rotations Guided Practice 5: 180 Degree Rotations with Student Input Discovery Activity 6: 270 Degree Rotations Guided Practice 6: 270 Degree Rotations with Student Input Translations Discovery Activity 7: Introduction to Translations Guided Practice 7: Translation Practice Guided Practice 8: More Translation Practice Student Activity: Graphing Transformations of a Triangle Lesson 20: Sine, Cosine, and Tangent Ratios Discovery Activity 1: The Tangent Ratio Discovery Activity 2: The Sine Ratio Discovery Activity 3: The Cosine Ratio Guided Practice: Trigonometric Ratios and Angle Measures Appendix Self-Checking Activity Keys vi