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Project Implementation into the Mathematics Classroom

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Presentation on theme: "Project Implementation into the Mathematics Classroom"— Presentation transcript:

1 Project Implementation into the Mathematics Classroom
By: April Anderson

2 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

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7 Whose Line is it Anyway Examples

8 Whose Line is it Anyway Examples

9 Whose Line is it Anyway Examples

10 Whose Line is it Anyway Examples

11 Whose Line is it Anyway Examples

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

13 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 L1, L2, L3, etc.

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

15 Examples of Whose Line Is It Anyway Projects

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

17 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).

18 Matrix Project x-axis y-axis line y = x
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: x-axis y-axis line y = x Multiply original matrix by:

19 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 Part 7: Project is done in a neat manner, all cartoon pictures are colored and your name is included on your project. For counterclockwise rotation about the origin: 900 1800 2700 For clockwise rotation about the origin:

20 Matrix Project Example

21 Matrix Project Example

22 Matrix Project Example

23 Matrix Project Example

24 Matrix Project Example

25 Matrix Project Example

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

27 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

28 Geobug Project Pictures

29 Geobug Project Pictures

30 Geobug Project Pictures

31 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. #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. #4 Write a story line or script for a TV show about inequalities or 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.

32 Graphing Inequalities & Solving Systems of Equations
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. Explanation of all three cases (What is means for one, no, or infinitely many solutions)

33 Example: Graphing Inequalities Educational Book

34 Example: Graphing Inequalities Educational Book

35 Example: Graphing Inequalities Educational Book

36 Tessellations Examples

37 Poetry Grade Level Poem Types
I implemented into my College Algebra but could be used grades 9-12 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

38 A Few Poetry Examples Tercet Limerick
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

39 A Few Poetry Examples Couplet Alliteration
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

40 A Few Poetry Examples Haiku Tercet 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

41 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 me.


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