mathematical concepts

İpek Pazar, Nov 7, 2017

Table of Contents

  1. Area of circle
    1. Circle Area (By Peeling!)
    2. The Crazy Circle Illusion: How are these dots moving? GeoGeb
  2. Fun
    1. Four color challenge
    2. Four Blues and Four Reds
    3. Tower of Hanoi
    4. Chinese Match Puzzles 1-8
    5. GeoGebra Pentominoes
    6. Guess Your Birthday
  3. Games
    1. Guessing Game
    2. Guess a slope of the line. New lines from random generator.
    3. Circle Game
    4. Square Roots Game

1.

Area of circle

  • 1. Circle Area (By Peeling!)
  • 2. The Crazy Circle Illusion: How are these dots moving? GeoGeb

1.1.

Circle Area (By Peeling!)

[b][color=#c51414]Questions for Extension and Application:[/color][/b][br][br][color=#1551b5]1) Was the "triangle" formed truly a triangle? Explain why or why not. [br][/color][br][color=#1551b5]2) What would we need to do to the number of "peels" in order to make the so-called "triangle" formed look[br] more smooth (like a true triangle) vs. a "choppy" triangle? [/color][br][br][color=#1551b5]3) Suppose an above-the-ground circular swimming pool has a radius of 12 feet. What is the area of the exposed surface of the water it contains? [br][br]4) Suppose a circular track (that surrounds grass) has a circumference of 500 feet. If 3 bags of grass seed are needed to be spread out across every 100 square feet of grass in the circular region inside this track, determine how many entire bags of grass seed will be needed to cover the entire area of the circular region surrounded by this track. [br][br]5) Suppose a 12-inch pizza (pizza with diameter = 12 inches) costs $12.00. Suppose a 24-inch pizza costs $24.00. Which pizza is the better buy? Explain why this pizza is the better buy. (Assume both pizzas have the same thickness.) [br][/color]
– Tim Brzezinski

1.2.

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2.

Fun

  • 1. Four color challenge
  • 2. Four Blues and Four Reds
  • 3. Tower of Hanoi
  • 4. Chinese Match Puzzles 1-8
  • 5. GeoGebra Pentominoes
  • 6. Guess Your Birthday

2.1.

Four color challenge

Instructions:
Complete the coloring of this map, so that no two adjacent regions are the same color. You can only use four colors: [color=#3d85c6]Blue[/color], [color=#6aa84f]Green[/color], [color=#ff0000]Red[/color], and [color=#8e7cc3]Purple[/color].[br][br]Click on the regions (quadrilaterals) to color them. To change the color, click again on the same region.
This puzzle has many solutions. You can see one here: [url=https://4.bp.blogspot.com/-Wtvv_5pkIHk/WE4_Ho9EasI/AAAAAAAALDs/FZn7OE_hSG0uFfWPvRO9eHD6_OcH1dH6gCLcB/s1600/sol1.png]A solution[/url]
Updated version using [url=https://www.geogebra.org/material/show/id/pGCXX3wW]Coloreando el mapa[/url] by [url=https://www.geogebra.org/ilarrosa]Ignacio Larrosa Cañestro[/url]
– Juan Carlos Ponce Campuzano

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2.3.

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2.4.

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2.5.

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2.6.

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3.

Games

  • 1. Guessing Game
  • 2. Guess a slope of the line. New lines from random generator.
  • 3. Circle Game
  • 4. Square Roots Game

3.1.

Guessing Game

Given two values can you deduce the third? Drawings ARE to scale![br][br]Inspired by a [url=https://twitter.com/gfletchy/status/728208231235887107]Graham Fletcher tweet[/url] from a Marian Small talk.
– John Golden

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3.4.

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Information