Lesson 5-7-24

LO: SWBAT determine if two given fractions are
equivalent using a variety of methods.

DOL: SW determine if two given fractions are
equivalent using a variety of methods correctly on
4 out of 5 questions.

TEKS 4.3(C) represent equivalent fractions with denominators of 2, 3, 4, 6, and 8 using a variety of objects and pictorial models, including number
lines. (S)

What fraction of this model is represented?

What fraction is equivalent to the shaded model?

11

Lesson Vocabulary

Equivalent Fractions

Fraction

Numerator

Denominator

2

4

2

4

2

4

1

2

2

4
=

are fractions that name the same part of a
whole region, set, or distance on a number
line.

Draw Models

Multiply

1
2

2
2

1

2

2

4

Partition the area evenly.

Multiply the fraction by a
fraction that is equivalent
to one.

x

x

2
4

=
÷

÷

2
2

1
2

=

Divide

2
4

Divide the fraction by a
fraction that is equivalent
to one.

What fractions are equivalent to ?
1

2

1
2

1
3

1
4

1
5

1
6

1
8

1
10
1
12

1 whole

What fractions are equivalent to ?
1

4

1
2

1
3

1
4

1
5

1
6

1
8

1
10
1
12

1 whole

What fractions are equivalent to ?
3

4

1
2

1
3

1
4

1
5

1
6

1
8

1
10
1
12

1 whole

Let's explore.

How can you partition the rectangle into three equal parts?

1

3

1

3

1

3

Let's explore.

How can you partition the same rectangle into six equal parts?

Bianca made this array of nickels.

A.

B.

D.

C.

Which arrangement should Bianca use to show a fraction equivalent
to the fraction of nickels that are tails side up?

Let's explore.

How has the distance between 0 and 1 been partitioned on
the number line?

1

2

1

2

Let's explore.

How has the distance between 0 and 1 been partitioned on
the number line?

1

4

1

4

1

4

1

4

Let's explore.

How can this number line show halves and
fourths?

1

4

2

4

3

4

1

2

Which statement about the fractions and are true?
1

2

2

4

A.

These fractions are equal to 1, because their denominators are
greater than their numerators.

B.

These fractions are both greater than 1, because their denominators
are greater than their numerators.

C.

These fractions are equivalent, because their denominators are half
their numerators.

D.

These fractions are equivalent, because their denominators are
twice their numerators.

Jack recorded the first four multiples of 4 on a strip of paper and the first
four multiples of 8 on another strip of paper. He used craft sticks to create
a equivalent fraction model.

What is the next equivalent fraction to after ?

4

8

16

32

4

812

16

816

24

32

5

9
A.

B.

C.

D.
24

40

20

40

20

36

The pictures below are models of equivalent fractions

Which represents another fraction that is equivalent to these fractions?

5

13

F.

G.

H.

J.
5

14

5

12

5

15

SW determine if two given fractions are equivalent using a variety of

methods correctly on 4 out of 5 questions.