Fraction Action: Decoding the Patterns

Represent, name, and write a given fraction (proper or improper) or mixed number with denominators of 2, 3, 4, 5, 6, 8, and 10 using region/area models (e.g., pie pieces, pattern blocks, geoboards). What is the fraction represented by 3 out of 4 pie pieces shaded?

• 3/4

• 1/2

• 2/3

• 4/5

Identify a fraction represented by a model as the sum of unit fractions. If a model shows 5 out of 6 parts shaded, how can this be written as a sum of unit fractions?

• 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 5/6

• 1/5 + 1/5 + 1/5 + 1/5 + 1/5 = 5/5

• 1/6 + 1/6 + 1/6 = 3/6

• 1/3 + 1/3 = 2/3

What is 5/4 as a mixed number?

• 1 1/4

• 1 2/4

• 2 1/4

• 1 3/4

Compose and decompose fractions (proper and improper) with denominators of 2, 3, 4, 5, 6, 8, and 10 in multiple ways. Which of the following is a correct way to decompose 4/6?

• 3/6 + 1/6

• 2/6 + 2/6

• 4/6 + 0/6

• 1/6 + 1/6 + 2/6

Compare a fraction, less than or equal to one, to the benchmarks of 0, 1/2, and 1 using area/region models, length models, and without models. Is 3/8 less than 1/2?

• True

• False

Compare two fractions (proper or improper) and/or mixed numbers with like numerators of 2, 3, 4, 5, 6, 8, and 10 (e.g., 2/3 > 2/8) using words (greater than, less than, equal to) and/or symbols (> , < , =). Which is greater: 2/5 or 2/10?

• 2/5

• 2/10

• They are equal

• Cannot be determined

Compare two fractions (proper or improper) and/or mixed numbers with like denominators of 2, 3, 4, 5, 6, 8, and 10 (e.g., 3/6 < 4/6) using words (greater than, less than, equal to) and/or symbols (> , < , =). Which is greater: 5/8 or 3/8?

• 5/8

• 3/8

• Both are equal

• Cannot be determined

Represent equivalent fractions with denominators of 2, 3, 4, 5, 6, 8, or 10, using region/area models and length models. Which fraction is equivalent to 1/2?

• 2/4

• 3/6

• 4/8

• All of the above

What is the difference between 23 and 5? _______

• 18

• 15

• 20

• 28

What is the sum of: 18 and 5

• 23

• 20

• 24

• 21