# Section A: Practice Problems Size and Location of Fractions

## Section Summary

Details

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 of the full rectangle.

## Problem 3 (Pre-Unit)

Label each tick mark with the number it represents. Explain your reasoning.

## Problem 4 (Pre-Unit)

Explain or show why and are equivalent fractions.

## Problem 5 (Lesson 1)

1. The entire diagram represents 1 whole. Shade the diagram to represent .

2. To represent on the tape diagram, would we shade more or less than what we did for ? Explain your reasoning.

## Problem 6 (Lesson 2)

1. The entire diagram represents 1 whole. What fraction does the shaded portion represent? Explain your reasoning.

2. Shade this diagram to represent .

## Problem 7 (Lesson 3)

For each pair of fractions, decide which is greater. Explain or show your reasoning.

1. or

2. or

3. 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)

1. Explain or show why the point on the number line describes both and .

2. Explain why and are equivalent fractions.

## Problem 10 (Lesson 6)

For each question, explain your reasoning. Use a number line if you find it helpful.

1. Is more or less than ?

2. Is 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?