Create models to represent different equivalent fractions.
Skills Needed
Students must be able to:
Recognize equivalent fractions.
Represent fractions in shapes and on number lines.
Materials Needed
Students will need:
crayons or colored pencils
pen or pencil
Keywords
equivalent fraction
Problem Solving
How do you use what you have learned to problem solve?
Goal:
Goal:
Practice!
Goal: Apply what you have learned about
drawing equivalent fractions to solve a word problem.
Let’s draw models to represent equivalent fractions!
Madelyn is playing video games, but her televisions are
glitching. 26 of the boxes on the first TV
are blue, and 13 of the boxes on the second
TV are blue. Draw models to prove these fractions are
equivalent.
Word Problem Solving Steps
Read the problem.
Look for important information.
Draw the models.
Color or label the models.
Check your answer.
Read the problem.
What is this word problem telling you? Read through it a
few times, and then write it on a piece of paper.
Madelyn is playing video games, but her televisions
are glitching. 26 of the boxes on
the first TV are blue, and 13 of
the boxes on the second TV are blue. Draw models to
prove these fractions are equivalent.
Look for important information.
What information is important in this word problem?
Underline or circle the important information in the
word problem. Then, check your thinking by clicking the
Show Me button.
Madelyn is playing video games, but her
televisions are glitching. 26 of the boxes on the first TV are blue,
and 13 of the boxes on the
second TV are blue. Draw models to prove
these fractions are equivalent.
26 and 13
are circled. The last sentence, "Draw models
to prove these fractions are equivalent." is
underlined.
Here is the most important information in this
word problem:
The televisions are showing 26 and 13 blue boxes.
We need to prove these fractions are
equivalent by drawing models.
Draw the models.
Let’s draw shapes and number lines as our models! Start
by drawing 2 rectangles that are the same size and 2
blank number lines that are the same length. Then
partition the shapes and number lines to model 26 and 13.
Click on the images below to check your work.
Two rectangles.
Two number lines from 0 to 1.
Two rectangles.
Two number lines.
Top rectangle is partitioned into 6 equal parts.
Top number line has 7 marks between 0 and 1.
Bottom rectangle is partitioned into 3 equal
parts. Bottom number line has 4 marks between 0
and 1.
Color or label the models.
Color the shapes to model 26 and 13. Then, label the number lines, and draw
dots over 26 and 13.
Click on the images below to check your work.
Two rectangles.
Two number lines.
Top rectangle is partitioned into 6 equal parts.
Top number line has 7 marks between 0 and 1.
Bottom rectangle is partitioned into 3 equal
parts. Bottom number line has 4 marks between 0
and 1.
Two rectangles.
Two number lines.
Top rectangle is partitioned into 6 equal parts
with 2 parts filled in. Top number line has 7
marks between 0 and 1. Marks are labeled from
06 to 66 with
a dot above 26.
Top rectangle is partitioned into 3 equal parts
with 1 part filled in. Top number line has 7
marks between 0 and 1. Marks are labeled from
03 to 33 with
a dot above 13.
Check your answer.
Do the colored parts of your rectangles take up the same
amount of space? Do the dots on your number lines line
up? Draw lines to help you!
Madelyn is playing video games, but her televisions
are glitching. 26 of the boxes on
the first TV are blue, and 13 of
the boxes on the second TV are blue. Draw models to
prove these fractions are equivalent.
26 and 13 are
circled. The last sentence, "Draw models to prove
these fractions are equivalent." is underlined.
Top rectangle is partitioned into 6 equal parts with
2 parts filled in. Top number line has 7 marks
between 0 and 1. Marks are labeled from 06 to 66 with a dot
above 26.
Top rectangle is partitioned into 3 equal parts with
1 part filled in. Top number line has 7 marks
between 0 and 1. Marks are labeled from 03 to 33 with a dot
above 13.
There is a dotted line from the filled parts in the
rectangle that match up. There is a dotted line from
the dots on the number lines that match up.
Question:
Are 26 and 13
equivalent fractions?
Yes! They are equivalent.
Slide: 1/5
Which number lines show equivalent fractions? Click the number lines below to find out!
Two number lines.
Top number line goes from 0 to 1 with 9 marks
between. Marks are labeled from 08
to 88 with a dot on 48.
Bottom number line goes from 0 to 1 with 5 marks
between. Marks are labeled from 04
to 44 with a dot on 24.
Two number lines.
Top number line goes from 0 to 1 with 9 marks
between. Marks are labeled from 08
to 88 with a dot on 48.
Bottom number line goes from 0 to 1 with 5 marks
between. Marks are labeled from 04
to 44 with a dot on 24.
🤔 These number lines are not partitioned into equal
parts, so they do not show equivalent fractions.
Two number lines.
Top number line goes from 0 to 1 with 9 marks
between. Marks are labeled from 08
to 88 with a dot on 48.
Bottom number line goes from 0 to 1 with 5 marks
between. Marks are labeled from 04
to 44 with a dot on 24.
Two number lines.
Top number line goes from 0 to 1 with 9 marks
between. Marks are labeled from 08
to 88 with a dot on 48.
Bottom number line goes from 0 to 1 with 5 marks
between. Marks are labeled from 04
to 44 with a dot on 24.
😀 Yes! These number lines are partitioned into equal
parts. They show 48 and 24 are equivalent fractions because both
dots line up.