We included **HMH Into Math Grade 3 Answer Key PDF** **Module 14 Lesson 3 Use Unit Fractions to Describe Area **to make students experts in learning maths.

## HMH Into Math Grade 3 Module 14 Lesson 3 Answer Key Use Unit Fractions to Describe Area

I Can write a unit fraction to represent the area of each equal part of a whole shape.

**Spark Your Learning**

Rex plans to divide the hexagonal-shaped pool into 6 equal parts and paint 1 part green. What unit fraction of the pool should Rex paint?

Show how Rex should divide the pool. Name the unit fraction of the pool that he should paint. Explain your thinking.

Answer:

Explanation:

Rex should divide the pool into 6 equal parts as shown above

I shaded 1 part of the whole that Rex should paint

1 part of the whole is called as unit fraction

So, the unit fraction of the pool that he should paint is \(\frac{1}{6}\).

**Turn and Talk** Describe two ways in which Rex can paint one half of the pool pink.

Answer:

Explanation:

I drew two ways in which Rex can paint half of the pool in pink

In both the above shape i shaded 3 parts out of 6 which is half of the whole.

**Build Understanding**

Question 1.

Leif is designing an octagonal-shaped rug. He wants to divide the rug into 8 parts that each have an equal area. How can you write the area of each part as a unit fraction of the whole?

Show how Leif should divide the rug on the left.

Answer:

A. How can you show that the parts of your octagon are equal in area?

Answer:

The parts of my Octagon are equal in area.

I can show this by taking one part of the whole and adding 5 more times the same part to complete the whole.

B. What is the area of each equal part written as a unit fraction?

Answer:

\(\frac{1}{8}\).

Explanation:

The rug is divided into 8 equal parts

Area of each part of the whole is named as unit fraction

The unit fraction area of the rug is \(\frac{1}{8}\).

C. How can Leif divide the rug into 2 parts of equal area? Show how Leif should divide the rug on the right above.

Answer:

Yes, Leif can divide the rug into 2 parts of equal area. I drew a way to show how Leif can divide the rug into 2 equal halves on the right rug given above.

D. What unit fraction represents the area of each equal part of the whole?

Answer:

\(\frac{1}{2}\).

Explanation:

The rug is divided into 2 equal halves

Area of each part of the whole is named as unit fraction

The unit fraction area of the rug is \(\frac{1}{2}\).

**Turn and Talk** Can you think of another way to divide the rug into 2 equal parts? Explain.

Answer:

Yes, i can divide the rug into 2 equal have in other way by drawing a vertical line instead of a horizontal line to divide the whole.

**Step It Out**

Question 2.

Meg divides a circular-shaped rug into equal parts. How can you write the area of each part of Meg’s rug as a unit fraction?

A. Find the denominator. How many equal parts are in the whole?

_________ equal parts in the whole

Answer:

6 equal parts in the whole

Explanation:

The whole is the number of equal parts a shape is divided, the circle is divided into 6 equal parts. So, there are 6 equal parts in the whole.

B. Find the numerator. How many parts are being counted?

_________ part counted

Answer:

1 part is being counted.

C. The area of each equal part of Meg’s rug is .

Answer:

The area of each equal part of Meg ‘s rug is .

**Turn and Talk** Meg divides another identical rug into four equal parts. Will each equal part be larger or smaller in area than the parts in the diagram above? Explain.

Answer:

Each part will be larger than the parts in the diagram above if Meg divided another identical rug into four equal parts.

**Check Understanding**

Question 1.

Divide the shape into 2 equal areas. What unit fraction names each equal part of the shape?

Answer:

Explanation:

I divided the shape into 2 equal halves

The unit fraction that represents each equal part of the shape is \(\frac{1}{2}\).

Question 2.

Divide the shape into 3 equal areas. What unit fraction names each equal part of the shape?

Answer:

Explanation:

I divided the shape into 3 equal parts

The unit fraction that represents each equal part of the shape is \(\frac{1}{3}\).

**On Your Own**

Question 3.

**Use Repeated Reasoning** in a shades four fraction circles. Name the unit fraction that matches the area shaded blue.

Describe a pattern you see in the fractions.

Answer:

Explanation:

I named the unit fractions that matches with the area shaded blue in the remaining 3 circles

1 out of 4 parts is shaded in second circle, 1 out of six parts is shaded in third circle and 1 out of 8 parts is shaded in fourth circle.

Question 4.

**Critique Reasoning** Kimo says he colored \(\frac{1}{6}\) of the square green. Is Kimo correct? Explain.

Answer:

No, kimo is not correct

Explanation:

The above shape is divided into 6 parts but all the parts are not equal

A fraction represents a part of whole with equal parts

Kimo says he colored \(\frac{1}{6}\) of the square green

So, Kimo is not correct as all the parts in the above shape are not equal.

Question 5.

**STEM** Computer engineers use real batting record data to design this computer baseball game.

What fraction of the game board counts for a double?

Answer:

\(\frac{1}{8}\)

Explanation:

Computer engineers use real batting record data to design this computer baseball game

The above game is divided into 8 equal parts and double is 1 of the part of the whole

So, the fraction of game board that counts for a double is \(\frac{1}{8}\).

Which is more likely, that a player gets a home run or a strike out?

Answer:

Both home run and a strike out are common as they are equal in share in the board game.

As they are in equal shares both are likely to happen same number.

**I’m in a Learning Mindset!**

What tools can I use to check to see if I can write the area of each part of a shape as a unit fraction of a whole?

Answer: