Lesson 8 Equivalent Fractions on the Number Line
Let’s use number lines to reason about equivalent fractions.
Warm-up Estimation Exploration: A Shaded Portion
If the entire diagram represents 1 whole, about what fraction is shaded?
Make an estimate that is:
too low | about right | too high |
---|---|---|
Activity 1 Handy Number Lines
Problem 1
Andre used number lines to find fractions that are equivalent to
Then, he drew three more lines and wrote a fraction for the point on each line:
How did Andre use the number lines to find fractions equivalent to
Problem 2
How can number lines be used to show whether the following fractions are equivalent?
and and
Problem 3
Find three fractions that are equivalent to
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 denominator 9, 10, and 12. Can it be done? Use number lines to show your reasoning.
Represent
on a number line. Then, find two fractions that are equivalent to . How would you use the number line to show that they are equivalent to ? Can you find an equivalent fraction for
with 100 for the denominator? Explain or show your reasoning.
Practice Problem
Problem 1
Which of these could be the fraction that the point represents? Explain your reasoning.