Math

Equivalent Fractions

LO: SWBAT determine if two given fractions are equivalent

using a variety of methods. 4.3C

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?
Write the TWO answers on your dry erase boards.

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 ? Use your whiteboard.

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

Just remember -

Whatever you do to the top, you have to do the same to the bottom.

1/3 = 3/9

• We did 1x3 = 3 to get the numerator.

• We did 3x3 = 9 to get the denominator.

• So, 1/3 = 3/9

• Let's try a few more...

Multiple Choice

Do the math!

• 6/9

• 6/6

• 9/9

• 2/3

Multiple Choice

3/4 =

• 9/12

• 2/8

• 5/6

• 6/9

Multiple Choice

6/7 =

• 3/14

• 7/14

• 12/14

Draw

Let's Review Simplifying:

What are all of the factors for 18?

Multiple Choice

Factors for 18 are ________.

• 1, 2, 9, 18

• 1, 2, 3, 6, 9, 18

• 1, 2, 3, 4, 6, 8, 18

• 1, 2, 9, 18, 36,

Draw

What are all of the factors for 36?

Multiple Choice

Factors for 36 are ________.

• 1, 2, 4, 9, 12, 18, 36

• 1, 2, 3, 4, 6, 9, 18, 36

• 1, 3, 4, 6, 9, 12, 36

• 1, 2, 3, 4, 6, 9, 12, 18, 36

So the factors for 18 and 36 were....

18: 1, 2, 3, 6, 9, 18

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Multiple Choice

18: 1, 2, 3, 6, 9, 18

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

What is the GCF of both 18 and 36?

• 1

• 6

• 18

• 36

Math Response

What is 18/36 simplified?

Type answer here

Correct Answer: \frac{1}{2}

Deg^°

Rad

Multiple Choice

Which statement about the fractions 1/2 and 2/4 are true?

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

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

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

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

Multiple Choice

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

Fill in the Blanks

Multiple Choice

Which represents another fraction that is equivalent to these fractions?

• 6/14

• 5/12

• 3/8

• 5/15

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

methods correctly on 4 out of 5 questions.