Section A: Practice Problems Size and Location of Fractions
In this section, we used fraction strips to represent fractions with denominators of 2, 3, 4, 5, 6, 8, 10, and 12. We also used the strips to reason about relationships between fifths and tenths, and between sixths and twelfths.
We learned that 2 tenths are equivalent to 1 fifth, or that splitting 5 fifths into two will produce 10 equal parts or tenths. When the denominator is larger, there are more parts in a whole.
We used what we learned about fraction strips to partition number lines and represent different fractions.
Problem 1 (Pre-Unit)
What fraction of each figure is shaded?
Problem 2 (Pre-Unit)
Explain why the shaded portion represents
Problem 3 (Pre-Unit)
Label each tick mark with the number it represents. Explain your reasoning.
Problem 4 (Pre-Unit)
Explain or show why
Problem 5 (Lesson 1)
The entire diagram represents 1 whole. Shade the diagram to represent
on the tape diagram, would we shade more or less than what we did for ? Explain your reasoning.
Problem 6 (Lesson 2)
The entire diagram represents 1 whole. What fraction does the shaded portion represent? Explain your reasoning.
Shade this diagram to represent
Problem 7 (Lesson 3)
For each pair of fractions, decide which is greater. Explain or show your reasoning.
or or or
Problem 8 (Lesson 4)
Use the fraction strips to name three pairs of equivalent fractions. Explain how you know the fractions are equivalent.
Problem 9 (Lesson 5)
Explain or show why the point on the number line describes both
and are equivalent fractions.
Problem 10 (Lesson 6)
For each question, explain your reasoning. Use a number line if you find it helpful.
more or less than ?
more or less than 1?
Problem 11 (Exploration)
Make fraction strips for each of these fractions. How did you fold the paper to make sure you have the right-size parts?
Problem 12 (Exploration)
Andre looks at these fraction strips and says “Each
is and another half of ”. Do you agree with Andre? Explain your reasoning.
What relationship do you see between
and ? Explain your reasoning.
Can you find a relationship between
and using fraction strips?