Unit 2, Lesson 8
Equivalent Fractions on the Number Line
Grade 4
Warm-up
Estimation Exploration: A Shaded Portion
The whole diagram represents 1. What fraction of the diagram is shaded?
Make an estimate that is:
| too low | about right | too high |
|---|---|---|
Activity 1
Handy Number Lines
Andre used number lines to find fractions that are equivalent to
He drew this number line:
Then he drew 3 copies of the number line. He wrote a different fraction for the same point on each line:
- How did Andre use the number lines to find fractions equivalent to
? Explain your thinking to a partner. -
How can number lines be used to show whether these pairs of fractions are equivalent?
-
and -
and
-
- Find 3 fractions that are equivalent to
. Explain or show how Andre’s number lines can help.
Activity 2
Can It Be Done?
-
Priya wants to find fractions that are equivalent to
, other than . She wonders if she can find equivalent fractions with denominators 9, 10, and 12. Can it be done? Use number lines to show your reasoning.
-
Represent
on a number line. Then find 2 fractions that are equivalent to . How would you use the number lines to show that they are equivalent to ? - Can you find an equivalent fraction for
with 100 for the denominator? Explain or show your reasoning.