STAAR-Based Assessment: Compare Fractions

John ordered two pizzas. They are the same size, and each is divided into equal pieces. The models are shaded to show how much pizza John ate. Which statement correctly describes both models?

• Myra served her friend more cake, because each piece of cake cut into 4 parts is larger than each piece of cake cut into 2 parts.

• Myra served her family and friend the same amount of cake, because the numerator of each is 1.

• Myra served more cake to her family, because each piece of cake cut into 2 parts is larger than each piece of cake cut into 4 parts.

• There is not enough information to determine to whom Myra served more cake.

Which statement describes the models?

A teacher shaded 2 number lines as shown below. Based on the number lines, which comparison is true?

• F) 2/3 > 2/4

• G) 2/3 < 2/4

• H) 2/3 = 2/4

• J) 2/3 < 1/4

Agustin and his sister each had a candy bar. Agustin ate 2/6 of his candy bar. His sister ate 2/3 of her candy bar. Which statement is true about the candy bars that were eaten?

• A) Agustin ate more of his candy bar, because 2/6 is greater than 2/3.

• B) Agustin and his sister ate the same amount of their candy bars, because the numerators of 2/3 and 2/6 are each 2.

• C) The sister ate more of her candy bar, because 2/3 is greater than 2/6.

• D) None of these statements are true.

Niyah baked 2 pies as shown by the models below. The pies are shaded to represent 2 different fractions. Which comparison of these fractions is true?

• 2/3 = 1/6, because thirds and sixths are equal

• 2/3 < 1/6, because 3 is less than 6

• 2/3 < 1/6, because sixths are larger than thirds

• 2/3 > 1/6, because thirds are larger than sixths

A restaurant made a pan of lasagna for 2 people. George ate 1/5 of the lasagna, and Zach ate 1/3. Which comparison is correct?

• A) 1/3 > 1/5, because thirds are larger than fifths

• B) 1/5 < 1/3, because fifths are larger than thirds

• C) 1/3 = 1/5, because both numerators are 1

• D) None of these statements is true.

Jack drew the number lines below to model 2 fractions. Which comparison of these fractions is true?

• F. 4/5 > 5/6

• G. 5/8 > 4/8

• H. 5/8 < 4/8

• J. 4/8 = 5/8

Tags

CCSS.3.NF.A.3D

Based on the models, which statement is NOT true?

• A. The fraction 2/4 is greater than 2/5, because fourths are larger than fifths.

• B. The fraction 2/5 is less than 2/4, because less of the circle is shaded.

• C. Both circles are equal, because they both have two pieces shaded.

• D. The fraction 2/5 is less than 2/4, because fifths are smaller than fourths.

Tags

CCSS.3.NF.A.3D

The number lines below are shaded to show 2 fractions. Which expression correctly compares these fractions?

• F) 2/6 = 3/6

• G) 2/6 > 3/6

• H) 2/6 < 3/6

• J) 3/6 < 2/6