Lesson: Equivalent Fractions

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Lesson Objective

SWBAT write equivalent fractions and find the greatest common factor in order to simplify a fraction.

Lesson Plan



Teacher will do…

10 minutes

Daily Math Review (Warm-Up/ Do Now)

Find the GCF.

1.      6, 10

2.      12, 24

3.      45, 50

        4.    17, 23

5 minutes

Math Vocabulary

Equivalent Fractions: fractions that name the same amount

Simplest form: a fraction is in this form when the numerator and the denominator have no common factors other than 1

5 minutes


Show students three examples of the same size rectangle

1 is divided into 4 pieces with 3 pieces shaded

2 is divided into 8 pieces with 6 pieces shaded

3 is divided into 12 pieces with 9 pieces shaded.


Ask them if they all have the same amount shaded? (yes) does that mean they all have equal parts of the whole shaded? (yes) so do you think they are all equal fractions (yes)

Then ask them which one looks simplest and why?

15 minutes

Explore (Conceptual Development)

Example 1: using multiples to write equivalent fractions. Write 3 fractions equivalent to 7/8

(have student synthesize ways to do this as we complete the problem)

Step 1: create a table with 3 rows and the number of equivalent fractions plus 1 columns(for our example we will need 3 rows and 4 columns because we want 3 equivalent fractions then we have to add 1)














Step 2 place the numerator in the 2 box in the 1st row and the denominator in the 3rd box in the 1st row

Step 3: use three multiples across the top

Step 4: each column equals a fractions

Three equivalent fractions to 7/8 are 14/16, 21/24, 28/32

Have students try to use multiples to write two fractions equivalent to 4/5 independently then review the answer.


Using Factors to write equivalent fractions:

We can also use factors to write equivalent fractions. Example write three fractions equivalent to 24/30

Have students synthesize steps as we go along

Step 1: list the factors of each number

Step 2: circle common factors

Step 3: divide both numerator and denominator by the common factor to get an equivalent fraction.

Three fractions equivalent to 24/30 are 12/15, 8/10, 4/5


Have students try to use factors to write two equivalent fractions to 18/30 independently then review the answer as a class.


Now that we learned how to find equivalent fractions we are going to learn how to simplify fractions, this is very similar to writing equivalent fractions using factors. We will use a lot of previous information such as divisibility rules and the activity we did at the beginning of class.

Example 3: Simplify 12/24

(have students try to synthesize ways to simplify)

Remember when we decided the simplest rectangle in the beginning of class was the one divided into 4.

Step 1: divide the numerator and denominator by a common factor

Step 2: divide again by another common factor until the only common factor left is 1.

12/24 in simplest form is ½

Have students try to write 8/12 in simplest form independently then review as a class.

Using the GCF to simplify fractions:

There is one final way we can simplify fractions… this is a little bit of a short cut to eliminate the second step in the example 3.

In the united states, there are 48 types of rad signs. Of these 16 are instructional, such as speed limit or stop signs, what fraction of the signs are instructional? Write your answer in simplest form.

Step 1: find the GCF

Step 2: divide both numerator and denominator by the GCF

Have students use GCF to write 18/45 in simplest form.

15 minutes


(Guided Practice)

Now we will have a race to see who simplify and write equivalent fractions correctly in the fastest time. You have 10 problems when I say go you will flip your paper over and attempt to answer those ten questions. Once finished flip your paper back over and read until I can come check your work. When you are reading I will know you are finished. Those that finish in 10 minutes and are 100% correct will receive a ticket for the raffle.

(worksheet in guided notes)

5 minutes is left to review questions the entire class had difficulty with. Students can explain how they got their answer or the teacher can explain how to get the right answer.

20 minutes

Extend (Independent Practice)

Have student’s complete 20 practice problems on their own. If one student finishes early and gets 90% of them right have that student become the grader and grade other students work when they complete. If students finish early they are to read. Once they are reading I will know they are done.

10 minutes


(Assessment/ Closure)

Exit slip is attached on the guided notes:

Lesson Resources

6 NSO N 5equivalentfractionsgn   Assessment


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