Play with point-slope form

Point-Slope Sliders

Rotations
Reflections
Translations
Dilations

Angry Birds!

Try out these Angry Birds games!

Game 1
Game 2
Game 3

You can download GeoGebra free here!

Directions for the games:

1. Decide what the roots (solutions, zeros, or x-intercepts) would be to guide the bird to hit the pig.
2. Decide what factors you would need to get those roots.
3. Remember that this parabola will open DOWN because of gravity!
4. Write your equation in the box at the bottom of the screen using the form:
   F(x)=(multiplier)*(first factor)*(second factor)
   Example: F(x)=-2(x-4)(x+5)
5. Push ENTER to apply the equation.
6. Push the PLAY button in the bottom left corner to watch the path the bird would take.
7. Repeat until you kill all the pigs.
   

March 10 Notes

Here's the notes on graphing the absolute value function:

March 10 Notes

Today's Notes

Here's today's notes about solving equations with absolute value.

March 9 Notes

2/9/11

Slider Graph

Proofs of the Pythagorean Theorem

Here are some proofs of the Pythagorean Theorem. Click on the links and answer the questions below.

Proof 1
Proof 2
Proof 3

Proof 1
1. What is the area of the square built by these four triangles (including the small square in the middle)? Make a sketch of the situation and write down your solution on paper.
2. Now drag the blue point counter-clockwise as far as possible. What is the area of the small red and the big blue square? Again, make a sketch of the situation and write down your solutions on paper.
3. Do you see any connection between the areas in task (1) and (2)? Write down your conjectures.
Proof 2
4. How do you find the area of a parallelogram?
5. Move on of the sliders a very short way until the square becomes a parallelogram. How does the area of the parallelogram compare to the area of the square it came from?
6. Move the slider a little farther until the parallelogram becomes a rectangle. How does the area of the rectangle compare to that of the parallelogram? How does it compare to the square?
7. When both sliders are moved, what happens? What does it show?
Proof 3
8. If the legs of this triangle have lengths a and b, what is the area of the red square? The blue square? Does it matter which is which?
9. Slowly move the slider to the other end. What is the area of the new shape? Write the area in two different ways.