project implementation into the mathematics classroom by: april anderson

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 Examples

Whose Line is it Anyway Examples

Whose Line is it Anyway Examples

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 AnywayLevel: Algebra IPart 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.

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 ProjectPart 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 ProjectPart 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 = xMultiply original

matrix by: 1 0

0 1

1 0

0 1

0 1

1 0

Matrix ProjectPart 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:

0 1

1 0

1 0

0 1

0 1

1 0

Matrix Project Example

Matrix Project Example

Matrix Project Example

Matrix Project Example

Matrix Project Example

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

Geobug Project Pictures

Geobug Project Pictures

Choose one project from this list. #1

Create an educational book

on graphing inequalities or

solving systems of equations.

#2Create a

humorous/cartoon book based on adventures of

characters that encounter real-life

inequalities or system of equations

situations.

#3Create a comic strip

about inequalities/solving

systems of equations.

#4Write a story line or

script for a TV show about inequalities or

solving systems of equations.

#5Create an education

video on inequalities or solving systems

or equations.

#6Write one song, poem,

or rap about solving systems of equations

and one about graphing

inequalities.

Graphing Inequalities & Solving Systems of Equations

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 InequalitiesEducational Book

Example: Graphing InequalitiesEducational Book

Example: Graphing InequalitiesEducational Book

Tessellations Examples

Poetry• Grade Level

– 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

A Few Poetry ExamplesTercet

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 ExamplesCouplet

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 ExamplesHaiku

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