Transcript Whose Line is it Anyway Examples Whose Line is it

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 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.
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
1 0 
0 1


 1 0
 0 1


0 1 
1 0 


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:
For clockwise rotation
about the origin:
900
1800
0 1  1 0 
1 0   0 1

 

2700
 0 1
 1 0


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
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
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
Example: Graphing Inequalities
Educational Book
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.
[email protected]