PreCalculus

Clare Harris, Jun 26, 2014

Table of Contents

  1. Intro
    1. What's My Coloring Rule 1?
    2. What's My Coloring Rule 2?
    3. What's My Coloring Rule 3?
    4. What's My Coloring Rule 4?
    5. What's My Number Line Coloring Rule 1?
    6. What's My Number Line Coloring Rule 3?
    7. What's My Number Line Coloring Rule 4?
  2. Trig
    1. Unit Circle - exact values
  3. Linear and Quadratic
    1. 3 Part Piecewise Function
    2. Factoring a Difference of Two Squares and Perfect Squares
    3. Factoring Trinomials (Leading Coefficient 1)
    4. Factoring Trinomials (Leading Coefficient is Prime)
    5. Factoring Trinomials (Leading Coefficient May Not be Prime)
    6. Solving Quadratic Equations by Factoring Practice
  4. Polynomial
    1. Polynomial Factors

1.

Intro

  • 1. What's My Coloring Rule 1?
  • 2. What's My Coloring Rule 2?
  • 3. What's My Coloring Rule 3?
  • 4. What's My Coloring Rule 4?
  • 5. What's My Number Line Coloring Rule 1?
  • 6. What's My Number Line Coloring Rule 3?
  • 7. What's My Number Line Coloring Rule 4?

1.1.

What's My Coloring Rule 1?

As you drag the point slowly around the coordinate plane, the point will change color. Describe precisely the coloring rule.
– Steve Phelps

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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2.

Trig

  • 1. Unit Circle - exact values

2.1.

Unit Circle - exact values

Investigate the exact trigonometric values by dragging the green dot around the unit circle.
Do you observe any patters with the sine and cosine functions relating to the coordinates?
– Nick Kochis

3.

Linear and Quadratic

  • 1. 3 Part Piecewise Function
  • 2. Factoring a Difference of Two Squares and Perfect Squares
  • 3. Factoring Trinomials (Leading Coefficient 1)
  • 4. Factoring Trinomials (Leading Coefficient is Prime)
  • 5. Factoring Trinomials (Leading Coefficient May Not be Prime)
  • 6. Solving Quadratic Equations by Factoring Practice

3.1.

3 Part Piecewise Function

Piecewise functions have two or more function parts making them up. This is a demo of a 3 part function.[br][br]You can enter any function into f1(x), f2(x), and f3(x) along with its matching domain.[br][br]You may need to place your mouse on the origin, press <shift> and scroll in/out to ZOOM the graph.[br][br]Also, holding <shift> while dragging the mouse will move the entire graph.
3 Part Piecewise Function
This applet can be used by teachers in a demonstration mode in the classroom or teachers can have students load it on their own computers as a worksheet to be completed for a grade.[br][br]Shows various shading options.
– Auston B Cron

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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4.

Polynomial

  • 1. Polynomial Factors

4.1.

Polynomial Factors

Use the sliders to create different polynomials of different degrees. Try various combinations of the factors, including using a specific factor more than once in the same equation.

1. How does the degree of the polynomial effect the number of roots in the equation? 2. What is the difference between the graphs of even and odd degree polynomials? 3. What effect does using a factor more than once in the same equation have on the graph of that equation?
– Nick Kochis

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