Tiki's Textbook

tikimorin, Aug 27, 2024

This is a collection of my technology resources.

Table of Contents

  1. Algebra I
    1. Circle Equation: Center (0,0)
    2. Equation & Graph of a Circle
    3. Working Backwards on Equations
    4. Graphing Inequalities
  2. Geometry
    1. Angle Relationships
  3. Algebra II
  4. Pre-Calculus
  5. Calculus I
    1. Function and Their Derivatives
    2. The Intermediate Value Theorem
  6. Calculus II
  7. Statistics
    1. Comparing Dot Plots
    2. Statistical and Non-Statistical Questions
    3. Standard Deviation Intro

1.

Algebra I

  • 1. Circle Equation: Center (0,0)
  • 2. Equation & Graph of a Circle
  • 3. Working Backwards on Equations
  • 4. Graphing Inequalities

1.1.

Circle Equation: Center (0,0)

For the questions below, be sure to zoom out if you need to!
1.
Suppose [i]P(x,y)[/i] = any point that lies on a circle with center (0,0) and radius 5. [br]Use what you've observed to write an equation that expresses the relationship among [i]x[/i], [i]y[/i], and [i]r[/i].
2.
What is the equation of a circle with center (0,0) and radius [i]r[/i] = 9?
3.
Suppose another circle has center (0,0). Suppose this circle also passes through the point (12, -5).[br]Write the equation of this circle. [br]
4. FINAL QUESTION:
Suppose [i]P(x,y)[/i] = any point that lies on a circle with center (0,0) and radius [i]r[/i], where [i]r[/i] > 0. [br]Use what you've observed to write an equation that expresses the relationship among [i]x[/i], [i]y[/i], and [i]r[/i].
Quick (Silent) Demo
– Tim Brzezinski

1.2.

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1.3.

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1.4.

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2.

Geometry

  • 1. Angle Relationships

2.1.

Angle Relationships

Angle Relationships
– tikimorin

3.

Algebra II


    This chapter does not contain any resources yet.

4.

Pre-Calculus


    This chapter does not contain any resources yet.

5.

Calculus I

  • 1. Function and Their Derivatives
  • 2. The Intermediate Value Theorem

5.1.

Function and Their Derivatives

Function and Their Derivatives
– tikimorin

5.2.

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6.

Calculus II


    This chapter does not contain any resources yet.

7.

Statistics

Covering the whole basis of statistics

  • 1. Comparing Dot Plots
  • 2. Statistical and Non-Statistical Questions
  • 3. Standard Deviation Intro

7.1.

Comparing Dot Plots

Observe how variations in characteristics of data sets affect the shape of dot plots.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
Modify the second data set and consider whether one center of distribution (one of the means) is much higher than the other, or if the centers (the means) are close together. How do the centers of distribution compare across the data sets of the dot plots in the following cases?[br]a) The difference in the means is less than 2 MADs[br]b) The difference in the means is more than 2 MADs
Modify the second data set so that the ranges of the dot plots are very different. Describe in your own words how the ranges compare with one another.
How do the variabilities of the two dot plots compare in the following cases?[br]a) The MAD of the original data set is higher[br]b) The MAD of the modified data set is higher[br]c) The MADs are close together
a) Modify the maximum of the second data set without changing the mean. How would you describe the difference between the two data sets?[br]b) Modify the maximum without changing the MAD. Compare the data sets in your own words again.
Imagine that the dot plots represent the heights of flowers in a garden bed.[br]a) How would you label the two different number lines?[br]b) What would a higher MAD mean for a population of flowers?
What other populations of people or things could the dot plots represent? How could you describe a comparison of the two populations?
– GeoGebra Content Team

7.2.

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7.3.

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