Math

Olyviah, 2026/10/20

目次

  1. Fraction Meaning
    1. estimate fraction in a set
    2. Fractions - Parts of a whole
    3. Percentages and Equivalent Fractions and Decimals
    4. Parts of a Circle
    5. Copy of Modeling the Fractional Part of a Set
  2. Comparison
    1. Comparing Fractions
    2. Comparing fractions with lines and circles
    3. Comparing Fractions
    4. Comparing Fractions and Decimals
    5. Comparing Fractions using Models
  3. Addition
    1. Adding Fractions with an Area Model
    2. Illustrating Addition and Subtraction of Proper Fractions
    3. Adding Fractions
    4. Adding Fractions with Diagrams
    5. Adding Fractions with an Area Model
  4. Subtraction
    1. Subtracting Fractions Using Visual Models
    2. Subtracting fractions with number lines
    3. Subtracting Fractions Using Visual Models
    4. Subtracting Proper Fractions
    5. Subtracting Fractions using an Area Model
  5. Multiplication
    1. Multiplying Fractions
    2. Multiplying fractions with area model
    3. Multiplying Fractions
    4. Multiplying Fractions
    5. Multiplying Fractions
  6. Division
    1. Multiplying and Dividing Fractions
    2. Dividing Fractions
    3. Dividing Proper Fractions
    4. Dividing Fractions
    5. Dividing Fractions Using Visual Models

1.

Fraction Meaning

  • 1. estimate fraction in a set
  • 2. Fractions - Parts of a whole
  • 3. Percentages and Equivalent Fractions and Decimals
  • 4. Parts of a Circle
  • 5. Copy of Modeling the Fractional Part of a Set

1.1.

estimate fraction in a set

In this activity, visualise or estimate the fraction of dots that are blue. The examples can be manipulated by the teacher in front of the learners. This may allow discussion about the meaning of fraction and developing a sense of the fraction size. [br][br]The fraction is shown as f1 or f2 (on the left or right), before or after simplification. The dots can be ordered in columns (use the 'move' slider) or sorted for better visualisation. The number of column can be adjusted to show more clearly the fraction. Learners may suggest how many columns would be better.[br][br]When the fractions are hidden, the dots are scattered and mixed, learners may guess the fraction. Their estimation can be updated when the dots are rearranged. When one of the fractions is shown, they can also estimate or work out another one. [br][br]If you want to show the value of part or whole without showing the entire fraction (f1), click one of the slider, use the style bar to change the option of label from 'caption' to 'value'.
– Arthur Lee

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2.

Comparison

  • 1. Comparing Fractions
  • 2. Comparing fractions with lines and circles
  • 3. Comparing Fractions
  • 4. Comparing Fractions and Decimals
  • 5. Comparing Fractions using Models

2.1.

Comparing Fractions

Comparing Fractions
– Ronan Downes, Gareth Daniels

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3.

Addition

  • 1. Adding Fractions with an Area Model
  • 2. Illustrating Addition and Subtraction of Proper Fractions
  • 3. Adding Fractions
  • 4. Adding Fractions with Diagrams
  • 5. Adding Fractions with an Area Model

3.1.

Adding Fractions with an Area Model

Adding fractions with an Area Model
Adding fractions with an Area Model
Use the are model to understand adding fractions.[br][br]Click the RESET arrows to get a new problem. (You might need to do this if the randomly generated problem does not make sense. For example 0/3 + 0/8)
– Duane Habecker

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4.

Subtraction

  • 1. Subtracting Fractions Using Visual Models
  • 2. Subtracting fractions with number lines
  • 3. Subtracting Fractions Using Visual Models
  • 4. Subtracting Proper Fractions
  • 5. Subtracting Fractions using an Area Model

4.1.

Subtracting Fractions Using Visual Models

Explore the process of subtracting fractions with a visual model in this activity.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
In your own words, describe the steps for subtracting two fractions with different denominators.
– GeoGebra Content Team

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5.

Multiplication

  • 1. Multiplying Fractions
  • 2. Multiplying fractions with area model
  • 3. Multiplying Fractions
  • 4. Multiplying Fractions
  • 5. Multiplying Fractions

5.1.

Multiplying Fractions

TASK: Multiplying Fractions Practice
– Stacy Myers, Celia Jimenez

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6.

Division

  • 1. Multiplying and Dividing Fractions
  • 2. Dividing Fractions
  • 3. Dividing Proper Fractions
  • 4. Dividing Fractions
  • 5. Dividing Fractions Using Visual Models

6.1.

Multiplying and Dividing Fractions

Use the sliders below to perform multipllication and division of fractions.
The red sliders represent the numerator and denominator of the first fraction. The blue sliders represent the numerator and denominator of the second fraction. Move the sliders to the desired positions for the fractions you are multiplying or dividing. Next, move the blue point to the left so that the two squares coincide.
– GeoGebra Materials Team

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