Lesson 1: Find Fractions of a Set with Arrays

It helps understand how to divide objects into equal parts.

It is only useful for addition and subtraction.

It is not related to fractions at all.

It is only used in advanced mathematics.

2 × 1/2

1 × 1/2

1/2 × 2

2 × 2

The number of terms is the same as the multiplier in the multiplication expression.

The number of terms is always one less than the multiplier.

The number of terms is always double the multiplier.

There is no relationship.

5 × 1/3

3 × 1/3

4 × 1/3

6 × 1/3

It is the same as multiplying 5 by 1/4.

It is the same as multiplying 4 by 1/5.

It is the same as multiplying 1/4 by 4.

It is the same as multiplying 1/5 by 4.

3

6

1

12

5/5

4/5

2/2

9/3

A fraction can be interpreted as the numerator divided by the denominator.

A fraction can be interpreted as the denominator divided by the numerator.

A fraction is always equal to 1.

A fraction is always less than 1.

Multiplication

Addition

Division

Subtraction

3

4

6

8

4

6

8

9

3

6

9

12

Divide 12 into 3 equal groups and take 2 groups

Divide 12 into 2 equal groups and take 3 groups

Multiply 12 by 2/3 directly

Add 2 and 3 then multiply by 12

Arrays help visualize equal groups for fractions

You can use arrays to find 3/4 of 12 by shading 9 out of 12 circles

Arrays are only useful for whole numbers, not fractions

Arrays make it easier to compare different ways to find the same fraction