Project Implementation into the Mathematics Classroom By April

Project Implementation into the Mathematics Classroom By: April Anderson

Whose Line is it Anyway Project • Grade Level – Advanced Math and Algebra 2 • Objective – Calculate Slope – Write Equations in Slope-Intercept Form – Determine Parallel and Perpendicular Lines

Whose Line is it Anyway Examples

Whose Line is it Anyway Project • Grade Level – Alegebra 1 • Objective – Calculate Slope – Write Equations in Slope-Intercept Form

Whose Line Is It Anyway Level: Algebra I Part I: Draw a picture that represents you on the graph paper that is included. All line segments must have vertices with integer coordinates. Color your picture. Part II: Choose and label 3 shaded regions to write linear equation systems. Somewhere in these 3 regions there must be the following: – at least 3 segments with positive slope – at least 3 segments with negative slope – at least 1 horizontal segment – at least 1 vertical segment Label each line segment that you will be using above using L 1, L 2, L 3, etc.

Part II: Fill in the Whose Line Is It Anyway Table

Examples of Whose Line Is It Anyway Projects

Matrix Project • Grade Level – Advanced Math and Algebra 2 • Objective – Add, Subtract, and Multiply Matrices

Matrix Project Part 1: Choose a cartoon character, or some other figure. Part 2: Sketch it in position on the coordinate plane. To do this make a grid on the figure and pick points to copy onto graph paper. This is your original figure. Identify at least six “nice” points on your figure and label them 1, 2, 3, …. List the ordered pairs as coordinates and list the ordered pairs as a matrix on a separate sheet of paper. Part 3: Perform a size change on your original. The size change is up to you, but it must be graphable. Show your matrix multiplication work you used to get your new matrix. Sketch the size change on a new sheet of graph paper. List the new ordered pairs on a separate sheet of paper. (Matrix Scalar Multiplication).

Matrix Project Part 4: Perform translation on your original. The size change is up to you, but it must be graphable. Show your matrix addition work you used to get your new matrix. Sketch the translation on a new sheet of graph paper. List the new ordered pairs on a separate sheet of paper. (Matrix Addition). Part 5: Apply a reflection to your original. Show your matrix multiplication work you used to get your new matrix. Sketch the reflection on a new sheet of graph paper. List the new ordered pairs on a separate sheet of paper. (Matrix Multiplication). REFLECTION MATRICES For reflection over the: Multiply original matrix by: x-axis y-axis line y = x

Matrix Project Part 6: Apply a rotation to your original. Show your matrix multiplication work you used to get your new matrix. Sketch the reflection on a new sheet of graph paper. List the new ordered pairs on your graph. (Matrix Multiplication). ROTATION MATRICES For counterclockwise rotation about the origin: 900 1800 2700 For clockwise rotation about the origin: Part 7: Project is done in a neat manner, all cartoon pictures are colored and your name is included on your project.

Matrix Project Example

Geobug Project • Grade Level – Geometry • Objectives – Understand the relationship between geometry and insects

Geobug Project • Students had to research insects to understand the important role that geometry plays for insects – Provided students with a worksheet of questions to answer while researching • Students had to create their own bug using their research of how insects are geometrically structured • Students had to write story about their geobug

Geobug Project Pictures

Graphing Inequalities & Solving Systems of Equations Choose one project from this list. #1 Create an educational book on graphing inequalities or solving systems of equations. #4 Write a story line or script for a TV show about inequalities or solving systems of equations. #2 Create a humorous/cartoon book based on adventures of characters that encounter real-life inequalities or system of equations situations. #3 Create a comic strip about inequalities/solving systems of equations. #5 Create an education video on inequalities or solving systems or equations. #6 Write one song, poem, or rap about solving systems of equations and one about graphing inequalities.

Graphing Inequalities & Solving Systems of Equations Graphing Inequalities: 1. Difference between graphing < and > versus ≤ and ≥. (Type of line) 2. Difference between graphing < and ≤ versus > and ≥. (Shading) 3. Difference between inequality shading for a vertical line versus a horizontal line. Solving Systems of Inequalities. 1. Includes 2 of the 3 methods: Graphing, Elimination, and Substitution. 2. Includes all three cases: one solution, no solution, or infinitely many solutions. 3. Explanation of all three cases (What is means for one, no, or infinitely many solutions)

Example: Graphing Inequalities Educational Book

Tessellations Examples

Poetry • Grade Level – I implemented into my College Algebra but could be used grades 912 • Students were paired up and had to write eight different poems • Each student had to write 2 on their own and as a pair they could write 4 poems together • Poem Types – – – – Alliteration Cinquain Couplet Diamante` Haiku Tercet Noun Verse Limerick

A Few Poetry Examples Tercet Algebra is the easiest part of math, Once the teacher leads you down the right path, Then you will have to face Geometry’s wrath. -Michael Anderson Limerick Three numbers were out to dine Then seven ate nine What seven did was strange He fled home to the range Without a trace nor sine - Brendan Tarang and Chris Tofsrud

A Few Poetry Examples Couplet You only add and subtract when you first start, Then you can buy a calculator at Kmart. The graphing gets so hard it makes you want to flee, So you go out and buy a TI-83. -Michael Anderson Alliteration Cory calculated common problems She can complete complicated calculus Cory classifies circles as conics Completing cube roots can cause her a crisis Cory craves creating complex problems - Lindsay Anderson and Ali Strand

A Few Poetry Examples Haiku Pi is a symbol A. k. a. three point one four Found circumference -Brendan Tarang and Chris Tofsrud Tercet One side of a right triangle is the Sine, That side is actually a line. It was in the homework that the teacher assigned. - Collin Boyles and Reid Haagenson

I would like to thank all of my instructors and colleagues for their project ideas in which I have adapted to meet my teaching styles and student levels. If you would like more information on any of the projects feel free to email me. april. r. anderson. 1@sendit. nodak. edu