Fractions Review

Definitions

100

What is a unit fraction?

A unit fraction describes one part of a whole that has been partitioned into equal parts.

200

What are equal parts?

Equal parts means each part is exactly the same size.

300

Define the word, partition.

partition - to divide into parts

400

What is a fractional unit? (examples are acceptable)

A fractional unit is the word used to name the parts of a whole based on how many equal parts the whole has been partitioned into. (examples - halves, fourths, twelfths, etc.)

500

What is a fraction?

A fraction is a mathematical expression used to represent any number of parts of a whole.

Fraction Facts

100

In the fraction 3/4, what does the number 3 represent?

The number 3 represents 3 parts of the whole.

200

In the fraction 4/6, which number represents the number of equal parts the whole has been partitioned into?

6

300

Can a fraction represent a value that is more than 1 whole? If so, please provide an example.

Yes. Any fraction where the number of parts (numerator) is greater than the amount in the whole (denominator) is an acceptable answer.

400

How do we express three fifths in fraction form?

3/5

500

How can 5 out of 8 slices of pizza be expressed as a fraction in unit form?

5 eighths

Visual Models

100

Two rectangles are partitioned into 5 equal parts each. Explain how to shade parts of the rectangles to represent any fraction greater than 1.

There are several ways to answer this question correctly. Points awarded at teacher's discretion.

200

Select one team member to come up to the board and draw a number bond that shows 1 whole as 4 unit fractions.

1(or 4/4) is the whole in the middle circle. There are 4 parts branching off with 1/4 written inside of each circle.

300

A circle is partitioned into 6 equal parts. What unit fraction should be used to label each part of the circle?

1/6

400

Ms. Juergens draws a rectangle and partitions it into 8 equal parts. She shades 2 parts. What fraction of the rectangle is not shaded?

6/8

500

Explain to your teacher how to draw a visual model to represent 6/4 on the board.

There are many correct ways to do this - points awarded at teacher's discretion.

Word Problems

100

Xavier wants to share a candy bar with 5 friends. He wants to make sure each friend receives the same amount of the candy bar. What fraction of the candy bar will each friend receive?

1/6

200

Ms. Rizzo baked 2 pans of brownies. She partitioned each pan into 10 equal pieces. Her co-workers ate 14 pieces. Name the fraction that shows how many pans of brownies Ms. Rizzo's co-workers ate.

14/10

300

Ashley completes 1/3 of her homework on Friday night. What fraction of her homework is incomplete? 

2/3 of Ashley's homework is incomplete.

400

After his soccer game, Joshua drinks 1/2 liter of water and 1/3 liter of juice. Did Joshua drink more water or juice? Explain your answer.

Joshua drank more water. I know this because the size of the whole is the same for water and juice - 1 liter. 1/2 is a larger amount than 1/3 when the whole is the same because when the whole is split into 2 equal parts, each part is larger than when it is split into 3 equal parts.

500

Niforos has a chocolate chip muffin and a blueberry muffin that are exactly the same size. Ms. Pressoir eats 1 third of the chocolate chip muffin. Ms. Waller eats 1 fifth of the blueberry muffin. Who ate a larger piece of muffin? Explain how you know.

Ms. Pressoir ate a larger piece of muffin. I know this because when the whole is the same size, thirds are larger than fifths because the whole is partitioned into fewer pieces therefore each piece is larger.