This Book

seherebrubas, Nov 7, 2017

[color=#c51414]This Book[/color] is for [color=#c51414]Who Needs It![/color]

Table of Contents

  1. Geometry Quickstart
    1. Adding Fractions - Visual
    2. Estimating Fractions
    3. Measures of Central Tendancy
  2. Learn more about GeoGebra
    1. How to use the Show / Hide Object Tool
  3. Fraction concepts
    1. Unit Fractions
    2. Fractions on a numberline
    3. Where is one whole located
    4. Converting between improper fractions and mixed numbers
    5. Improper fractions and mixed numbers on a number line
    6. Positioning Fractions on the Number Line
    7. Arranging fractions from least to greatest
    8. Comparing fractions using number lines and circles
    9. Locating fractions and decimals on a number line
    10. Fraction Guesser
    11. Expanding and Reducing Fractions
    12. Pattern Blocks
    13. Fraction bars
    14. Comparing fractions with lines and circles
    15. 05.1 Measures of Central Tendency
  4. Adding and subtracting
    1. Adding fractions on a number line
    2. Adding Fractions with an Area Model
    3. Subtracting fractions with number lines
    4. Subtracting Fractions using an Area Model
    5. Adding Fractions - Visual
    6. Fraction Addition
    7. Adding Fraction Practice
  5. Multiplying and dividing
    1. Multiplying fractions with area model
    2. Multiplying Fractions
    3. Multiplying Mixed Number Fractions
    4. Multiply Fractions
    5. Fraction Division
    6. Division of a Fraction by a Whole Number
    7. Division of a Whole Number by a Fraction
    8. Dividing Fractions
    9. Dividing by a fraction

1.

Geometry Quickstart

  • 1. Adding Fractions - Visual
  • 2. Estimating Fractions
  • 3. Measures of Central Tendancy

1.1.

Adding Fractions - Visual

Enter any two fractions to see their sum. Any mixed numbers must be entered as improper fractions. The sum will not be simplified.
– John Ulbright

1.2.

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1.3.

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2.

Learn more about GeoGebra

  • 1. How to use the Show / Hide Object Tool

2.1.

How to use the Show / Hide Object Tool

How to hide objects in the Graphics View
[size=100]You may use the [img]https://wiki.geogebra.org/uploads/thumb/2/25/Mode_showhideobject.svg/16px-Mode_showhideobject.svg.png[/img] [i]Show / Hide Object[/i] tool in order to hide auxiliary objects in the [i]Graphics View[/i]: [br][table][tr][td]1.[/td][td][icon]/images/ggb/toolbar/mode_showhideobject.png[/icon][/td][td]Activate the [i]Show / Hide Object[/i] tool.[/td][/tr][tr][td]2.[/td][td][br][/td][td]Select all objects you want to hide.[br][/td][/tr][tr][td][br][/td][td][br][/td][td][u]Note[/u]: All selected objects stay highlighted as long as tool [img]https://wiki.geogebra.org/uploads/thumb/2/25/Mode_showhideobject.svg/16px-Mode_showhideobject.svg.png[/img] [i]Show / Hide Object[/i] is activated.[/td][/tr][tr][td]3.[/td][td][icon]/images/ggb/toolbar/mode_move.png[/icon][/td][td]Switch to any other tool in order to apply your visibility changes.[/td][/tr][/table][/size]
Instructions
[table][tr][td][size=100]1.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_showhideobject.png[/icon][/size][/td][td][size=100]Select tool[i] Show / Hide Object[/i] from the last [i]Toolbox[/i] in the [i]Toolbar[/i].[br][u]Hint[/u]: Click on the [i]Tool[/i] icon [img]https://wiki.geogebra.org/uploads/thumb/4/45/Mode_translateview.svg/16px-Mode_translateview.svg.png[/img] in order to open the [i]Toolbox[/i].[/size][/td][/tr][tr][td][size=100]2.[/size][/td][td][size=100][/size][/td][td][size=100]Select on one of the circles, which is auxiliary and should be hidden.[br][u]Note[/u]: The circle stays highlighted as long as tool [img]https://wiki.geogebra.org/uploads/thumb/2/25/Mode_showhideobject.svg/16px-Mode_showhideobject.svg.png[/img] [i]Show / Hide Object[/i] is activated.[/size][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_move.png[/icon][/size][/td][td][size=100]Select another tool (e.g. the [i]Move [/i]tool) in order to apply your changes and hide the circle.[/size][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_showhideobject.png[/icon][/size][/td][td][size=100]Also hide the other circle, as well as the lines.[/size][/td][/tr][/table]
Try it yourself...
How to show hidden objects in the Graphics View
You may use the [img]https://wiki.geogebra.org/uploads/thumb/2/25/Mode_showhideobject.svg/16px-Mode_showhideobject.svg.png[/img] [i]Show / Hide Object[/i] tool in order to show hidden objects in the [i]Graphics View[/i]: [br][table][tr][td]1.[/td][td][icon]/images/ggb/toolbar/mode_showhideobject.png[/icon] [/td][td]Activate the [i]Show / Hide Object[/i] tool.[br][u]Hint[/u]: All hidden objects are appear highlighted in the [i]Graphics View[/i]. [/td][/tr][tr][td]2.[/td][td][/td][td]Deselect all objects you want to show again. [br][u]Note[/u]: All selected objects will stay hidden.[/td][/tr][tr][td]3.[/td][td][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Switch to any other tool in order to apply your visibility changes.[/td][/tr][/table]
– GeoGebra Team German

3.

Fraction concepts

  • 1. Unit Fractions
  • 2. Fractions on a numberline
  • 3. Where is one whole located
  • 4. Converting between improper fractions and mixed numbers
  • 5. Improper fractions and mixed numbers on a number line
  • 6. Positioning Fractions on the Number Line
  • 7. Arranging fractions from least to greatest
  • 8. Comparing fractions using number lines and circles
  • 9. Locating fractions and decimals on a number line
  • 10. Fraction Guesser
  • 11. Expanding and Reducing Fractions
  • 12. Pattern Blocks
  • 13. Fraction bars
  • 14. Comparing fractions with lines and circles
  • 15. 05.1 Measures of Central Tendency

3.1.

Unit Fractions

– Duane Habecker

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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3.7.

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3.8.

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3.9.

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3.10.

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3.11.

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3.12.

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3.13.

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3.14.

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3.15.

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4.

Adding and subtracting

  • 1. Adding fractions on a number line
  • 2. Adding Fractions with an Area Model
  • 3. Subtracting fractions with number lines
  • 4. Subtracting Fractions using an Area Model
  • 5. Adding Fractions - Visual
  • 6. Fraction Addition
  • 7. Adding Fraction Practice

4.1.

Adding fractions on a number line

Use fractions on a number line to develop an understanding for how to add fractions.
– Duane Habecker

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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5.

Multiplying and dividing

  • 1. Multiplying fractions with area model
  • 2. Multiplying Fractions
  • 3. Multiplying Mixed Number Fractions
  • 4. Multiply Fractions
  • 5. Fraction Division
  • 6. Division of a Fraction by a Whole Number
  • 7. Division of a Whole Number by a Fraction
  • 8. Dividing Fractions
  • 9. Dividing by a fraction

5.1.

Multiplying fractions with area model

Multiplying fractions using the area model. This applet will demonstrate why the algorithms for multiplying fractions make sense.
– Duane Habecker

5.2.

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5.3.

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5.4.

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5.5.

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5.6.

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5.7.

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5.8.

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5.9.

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