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#### Description:

This activity allows students to visually experiment with the relationship between the values of equivalent fractions and areas within a square or a circle. The activity provides the user with a fraction, its equivalent representation as a shaded portion of a square or circle, and a number line. Also displayed are two empty squares or circles. The user can add and color sections to the blank shapes to create a fraction equivalent to the computer generated fraction.

#### Subjects:

• Mathematics > General

English

#### Access Privileges:

Public - Available to anyone

Creative Commons Attribution Non-Commercial Share Alike

#### Collections:

None
Update Standards?

#### CCSS.Math.Content.1.G.A.3: Common Core State Standards for Mathematics

Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

#### CCSS.Math.Content.3.NF.A.1: Common Core State Standards for Mathematics

Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

#### CCSS.Math.Content.3.NF.A.2a: Common Core State Standards for Mathematics

Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.

#### CCSS.Math.Content.3.NF.A.2b: Common Core State Standards for Mathematics

Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.

#### CCSS.Math.Content.3.NF.A.3a: Common Core State Standards for Mathematics

Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

#### CCSS.Math.Content.3.NF.A.3b: Common Core State Standards for Mathematics

Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.

#### CCSS.Math.Content.4.NF.A.1: Common Core State Standards for Mathematics

Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
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