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MATH 099 (Elementary Algebra)
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1. Geometry and Numbers
- Parallelogram: Area
- Area of a Triangle (Discovery)
- Trapezoid: Area (I)
- TRUE MEANING of π
- Circumference = ? (Animation)
- Circumference = ? (Animation II)
- Circle Area (by Peeling)
- Circle Area (By Peeling!)
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2. Algebraic Expressions
- Substitution & Evaluating Expressions
- Simplifying Linear Expressions
- Proof Without Words
- Plotting Points (x,y): Dynamic Illustration
- Plotting Points (x,y): Quiz
- Rant Rant Rant Rant!
- Quadrant Identification
- Rise & Run
- Distance in the Coordinate Plane (With Hints)
- Distance in the Coordinate Plane (II)
- Quiz: Distance in the Coordinate Plane (V1)
- Quiz: Distance in the Coordinate Plane (V2)
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3. Linear Equations
- Linear Equation Generator
- Verbal to Algebraic: Translating
- Matching Verbal Statements to Algebraic Statements (V1)
- Matching Verbal Statements to Algebraic Statements (V2)
- Triangle Angle Theorems
- Triangle Angle Theorems (V2)
- Triangle Angle Sum Theorem
- Application Problems: Solving Linear Equations (1)
- Perimeter of a Rectangle: Solving Linear Equations
- Friends and Money: Solving Linear Equations
- Application Problems: Solving Linear Equations (3)
- Application Problems: Solving Linear Equations (5)
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4. Systems of Linear Equations
- Slope: Intuitive Introduction
- Slope (Quiz) I
- Slope (Quiz) II
- Finding Slope Given 2 Points: Question Generator
- Blueprint Equation of a Line (I)
- Blueprint Equation of a Line (II)
- Equation of a Line: Dynamic Illustrator
- Graphing Linear Equations: Question Generator (V2)
- Writing the Equation of a Line (I-VA)
- Writing the Equation of a Line Given a Slope & Point (V1)
- Writing Linear Equations Given Slope & Point (V2)
- Writing Linear Equations Given 2 Points (y-int = integer)
- Writing Linear Equations Given 2 Points (y-int not necessarily an integer)
- Quiz: Application Problems - Writing Linear Equations Given 2 Points
- Writing the Equation of a Line Given Both Intercepts
- Solving Linear Systems Graphically
- Parallel Consequence? (VB)
- Slope Triangle Rotation (VB)
- Perpendicular Lines Investigation (VA)
- Perpendicular Lines Investigation (VB)
- Parallel & Perpendicular Consequence
- Writing Equations of Parallel and Perpendicular Lines
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5. More Applications of Linear Equations
- Working With Percents
- Working with Percent Change
- Solving Linear Systems Graphically
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6. Exponents and Factoring
- Multiplying Binomials
- Multiplying Binomials
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MATH 099 (Elementary Algebra)
Tim Brzezinski, Oct 19, 2016

Contains interactive Elementary Algebra applets that can be used for discovery learning, meaningful remediation, differentiation, and formative assessment.
Table of Contents
- Geometry and Numbers
- Parallelogram: Area
- Area of a Triangle (Discovery)
- Trapezoid: Area (I)
- TRUE MEANING of π
- Circumference = ? (Animation)
- Circumference = ? (Animation II)
- Circle Area (by Peeling)
- Circle Area (By Peeling!)
- Algebraic Expressions
- Substitution & Evaluating Expressions
- Simplifying Linear Expressions
- Proof Without Words
- Plotting Points (x,y): Dynamic Illustration
- Plotting Points (x,y): Quiz
- Rant Rant Rant Rant!
- Quadrant Identification
- Rise & Run
- Distance in the Coordinate Plane (With Hints)
- Distance in the Coordinate Plane (II)
- Quiz: Distance in the Coordinate Plane (V1)
- Quiz: Distance in the Coordinate Plane (V2)
- Linear Equations
- Linear Equation Generator
- Verbal to Algebraic: Translating
- Matching Verbal Statements to Algebraic Statements (V1)
- Matching Verbal Statements to Algebraic Statements (V2)
- Triangle Angle Theorems
- Triangle Angle Theorems (V2)
- Triangle Angle Sum Theorem
- Application Problems: Solving Linear Equations (1)
- Perimeter of a Rectangle: Solving Linear Equations
- Friends and Money: Solving Linear Equations
- Application Problems: Solving Linear Equations (3)
- Application Problems: Solving Linear Equations (5)
- Systems of Linear Equations
- Slope: Intuitive Introduction
- Slope (Quiz) I
- Slope (Quiz) II
- Finding Slope Given 2 Points: Question Generator
- Blueprint Equation of a Line (I)
- Blueprint Equation of a Line (II)
- Equation of a Line: Dynamic Illustrator
- Graphing Linear Equations: Question Generator (V2)
- Writing the Equation of a Line (I-VA)
- Writing the Equation of a Line Given a Slope & Point (V1)
- Writing Linear Equations Given Slope & Point (V2)
- Writing Linear Equations Given 2 Points (y-int = integer)
- Writing Linear Equations Given 2 Points (y-int not necessarily an integer)
- Quiz: Application Problems - Writing Linear Equations Given 2 Points
- Writing the Equation of a Line Given Both Intercepts
- Solving Linear Systems Graphically
- Parallel Consequence? (VB)
- Slope Triangle Rotation (VB)
- Perpendicular Lines Investigation (VA)
- Perpendicular Lines Investigation (VB)
- Parallel & Perpendicular Consequence
- Writing Equations of Parallel and Perpendicular Lines
- More Applications of Linear Equations
- Working With Percents
- Working with Percent Change
- Solving Linear Systems Graphically
- Exponents and Factoring
- Multiplying Binomials
- Multiplying Binomials
Parallelogram: Area
Directions:
In the app below, use the filling slider to make the parallelogram light enough so that you can see the white gridlines through it. But don't touch anything else yet!
After you set the filling slider, try to count the number of squares inside this parallelogram.
Be sure to include partial squares! Provide a good estimate in the question box below.
Try to count the number of squares inside this parallelogram. How many squares (i.e. square units) do you estimate to be inside this parallelogram?
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[code]Code [ctrl+shift+4]
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Slide the "Slide Me" slider now. Carefully observe what happens. What shape do you see now?
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Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
How does the area of this new shape compare with the area of the original parallelogram? How do you know this?
Font sizeFont size
Very smallSmallNormalBigVery big
Bold [ctrl+b]
Italic [ctrl+i]
Underline [ctrl+u]
Strike
Superscript
Subscript
Font colorAuto
Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
How many squares do you now count in the newer shape that was formed? How many squares were in the original parallelogram?
Font sizeFont size
Very smallSmallNormalBigVery big
Bold [ctrl+b]
Italic [ctrl+i]
Underline [ctrl+u]
Strike
Superscript
Subscript
Font colorAuto
Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
Without looking it up on another tab in your browser, describe how we can find the area of ANY PARALLELOGRAM.
Font sizeFont size
Very smallSmallNormalBigVery big
Bold [ctrl+b]
Italic [ctrl+i]
Underline [ctrl+u]
Strike
Superscript
Subscript
Font colorAuto
Justify
Align left
Align right
Align center
• Unordered list
1. Ordered list
Link [ctrl+shift+2]
Quote [ctrl+shift+3]
[code]Code [ctrl+shift+4]
Insert table
Remove Format
Insert image [ctrl+shift+1]
Insert icons of GeoGebra tools
[bbcode]
Text tools
Insert Math
Algebraic Expressions
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1. Substitution & Evaluating Expressions
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2. Simplifying Linear Expressions
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3. Proof Without Words
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4. Plotting Points (x,y): Dynamic Illustration
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5. Plotting Points (x,y): Quiz
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6. Rant Rant Rant Rant!
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7. Quadrant Identification
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8. Rise & Run
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9. Distance in the Coordinate Plane (With Hints)
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10. Distance in the Coordinate Plane (II)
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11. Quiz: Distance in the Coordinate Plane (V1)
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12. Quiz: Distance in the Coordinate Plane (V2)
Substitution & Evaluating Expressions


Linear Equations
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1. Linear Equation Generator
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2. Verbal to Algebraic: Translating
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3. Matching Verbal Statements to Algebraic Statements (V1)
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4. Matching Verbal Statements to Algebraic Statements (V2)
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5. Triangle Angle Theorems
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6. Triangle Angle Theorems (V2)
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7. Triangle Angle Sum Theorem
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8. Application Problems: Solving Linear Equations (1)
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9. Perimeter of a Rectangle: Solving Linear Equations
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10. Friends and Money: Solving Linear Equations
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11. Application Problems: Solving Linear Equations (3)
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12. Application Problems: Solving Linear Equations (5)
Linear Equation Generator
Solve each linear equation that appears on the screen.
You can show your work to solve any equation in any workspace below.
There are 4 difficulty levels here (see slider at bottom.)


You can use this space to show your work below.


You can use this space to show your work below.


You can use this space to show your work below.


You can use this space to show your work below.


Systems of Linear Equations
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1. Slope: Intuitive Introduction
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2. Slope (Quiz) I
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3. Slope (Quiz) II
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4. Finding Slope Given 2 Points: Question Generator
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5. Blueprint Equation of a Line (I)
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6. Blueprint Equation of a Line (II)
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7. Equation of a Line: Dynamic Illustrator
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8. Graphing Linear Equations: Question Generator (V2)
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9. Writing the Equation of a Line (I-VA)
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10. Writing the Equation of a Line Given a Slope & Point (V1)
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11. Writing Linear Equations Given Slope & Point (V2)
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12. Writing Linear Equations Given 2 Points (y-int = integer)
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13. Writing Linear Equations Given 2 Points (y-int not necessarily an integer)
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14. Quiz: Application Problems - Writing Linear Equations Given 2 Points
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15. Writing the Equation of a Line Given Both Intercepts
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16. Solving Linear Systems Graphically
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17. Parallel Consequence? (VB)
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18. Slope Triangle Rotation (VB)
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19. Perpendicular Lines Investigation (VA)
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20. Perpendicular Lines Investigation (VB)
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21. Parallel & Perpendicular Consequence
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22. Writing Equations of Parallel and Perpendicular Lines
Slope: Intuitive Introduction
Discovery Lesson Activity:
Slope: Intuitive Introduction Investigation


Working With Percents


Use this template to help you model & solve any problem above.


Multiplying Binomials
Students:
On a separate sheet of paper, multiply the binomials you see on the screen.
Be sure to simplify your expression afterwards.
After doing so, enter this expression into the input box provided. (Enter "x^2" to show ).
If you enter in a correct expression, you'll see a big "CORRECT !!!" sign appear.
Generate new problems and work through them as many times as you need in order to master this concept!


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