London Elementary (Week 8)

Skill:Add & Subtract Fractions w/ Denominators Less Than or Equal to 10

MathGrade 4

This test section contains EIGHT multiple-choice and ONE open-response (short-answer) questions. Pleasemark your answers for the multiple-choice questions in the spaces provided on your Student Response Booklet. Mark only one answer for each question. If you do not know the answer, make your best guess. DO NOT WRITE ANY ANSWERS IN THIS TEST BOOKLET. WHEN YOU FINISH, DO NOT WORK ON ANY OTHER TEST SECTION.
1. / Find the sum, then simplify.
1/3 + 5/3 =______.
O / A. / 5/3
O / B. / 2
O / C. / 4/3
O / D. / 2/3
2. / Solve. 5/9 + 4/9 =
O / A. / 3/4
O / B. / 7/9
O / C. / 1
O / D. / 1 1/2
3. / Mary and Tom shared a pizza with 10 slices. Mary ate 3/10 of the pizza. What fractional part of the pizza was left for Tom?
O / A. / 7/10
O / B. / 1/2
O / C. / 2/5
O / D. / 6/10
4. / Emma put 8 red and blue crayons in a box. If 5 of the crayons were red, what fractional part of the crayons was blue?
O / A. / 1/2
O / B. / 3/8
O / C. / 3/4
O / D. / 1/8

PLEASE GO ON TO THE NEXT PAGE 

5. / Solve 3/4 - 2/4 = ______.
O / A. / 5/8
O / B. / 1
O / C. / 1 1/4
O / D. / 1/4
6. / Solve to find the sum.
2/7 + 1/7 + 3/7 = ____.
O / A. / 6/21
O / B. / 6/7
O / C. / 5/7
O / D. / 3/4
7. / On Monday, Susie read for 1/4 of an hour. On Tuesday, she read for 2/4 of an hour. How much time did she spend reading altogether?
O / A. / 3/4
O / B. / 3/8
O / C. / 1/4
O / D. / 1/8
8. / Alex painted 1/8 of a picture yesterday. Today he painted 4/8 of the picture. How much of the picture has Alex painted?
O / A. / 3/8
O / B. / 2/8
O / C. / 4/8
O / D. / 5/8

PLEASE GO ON TO THE NEXT PAGE 

OPEN-RESPONSE QUESTION
Read all parts of the open-response question before you begin. Write your answers to the open-response question in the space provided on your Student Response Booklet. DO NOT WRITE ANY ANSWERS IN THIS TEST BOOKLET.
MA-04-1.3.1: Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following restraints:
Add and subtract fractions with like denominators less than or equal to 10.
DOK 2
Party Mix
9. / Blaine is having a party. To make a snack mix, he used 3/8 pound of popcorn, 1/8 pound of M & Ms, and 2/8 pound of nuts.
  1. Draw and label fraction bars to show what part of a pound of each treat he used.
  1. Solve for the total weight of Blaine’s party mix. Show your work.

Do not write on this page. Please write your
Answer to this open-response question in
the test answer booklet
Student Name______

STOP!

Scoring Guide

SCORE / DESCRIPTION
4 / Student correctly
Draws three fraction bars to represent each ingredient for the party mix
Labels the three fraction bars
Adds the three fractions
Shows their work
3 / Student demonstrates three of the above.
2 / Student demonstrates two of the above.
1 / Student demonstrates only one of the above.
0 / Student’s response is totally incorrect or irrelevant.
Blank / No student response.

Annotated Rubric/ Performance Expectations for ORQ

Academic Expectation:

2.7 Students understand number concepts and use numbers appropriately and accurately. DOK 2

2.8Students understand various mathematical procedures and use them appropriately and accurately. DOK 2

Core Content:

MA-04-1.3.1: Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following restraints:

Add and subtract fractions with like denominators less than or equal to 10.

DOK 2

Question Ceiling DOK Level: 2Question DOK Level: 2

Question Type (circle): Scaffold, Single Dimension/Component, Two or More Relatively Independent Components, Student Choice, Respond to Provided Information

An appropriate student response should provide evidence of the student’s understanding……….

MA-4-NPO-S-NS7Students will apply whole numbers, commonly used fractions and decimals to represent real-world problems. DOK 2

MA-4-NPO-S-NO2Students will use manipulatives and/or diagrams to add and subtract fractions with a common denominator. DOK 2

For example, an appropriate response to this question would show that the student can

A.

Popcorn

3/8 pound

M & Ms

1/8 pound

Nuts

2/8 pound

B. The total weight of Blaine’s party mix was 6/8 pound.

3/8 + 1/8 + 2/8 = 6/8

Essential Vocabulary: Fraction, Denominator, Numerator, Sum, Simplify

Resources/Technology:

KCCT Math Coach Book, ; ; ; ;

Sources:

; Harcourt Math Kentucky Test Preparation-CATS

Grade 4–Math
Question / First
A.E. / First CC / Second A.E. / Second CC / DOK
Level of MC Question / Answer
Key / Rational/Annotation for MC Questions
1 / 2.7 / MA-04-1.3.1: Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following restraints:
Add and subtract fractions with like denominators less than or equal to 10.
DOK 2 / 2.8 / DOK Ceiling Level / 2 / B / When you add the numerators, the sum is 6. When adding fractions with like denominators, the denominator stays the same. So, the denominator is 3. When you simplify 6/3, it reduces to 2.
2 / 2.7 / MA-04-1.3.1 DOK 2 / 2.8 / DOK Ceiling Level / 2 / C / When you add 5/9 + 4/9, the sum of the numerators is 9 and the denominator stays the same. 9/9 reduces to 1.
3 / 2.7 / MA-04-1.3.1 DOK 2 / 2.8 / DOK Ceiling Level / 2 / A / To find the part left, you subtract 10/10 – 3/10. The denominator stays the same. When you subtract the numerators (10 – 3), the difference is 7. So, the part left for Tom is 7/10.
4 / 2.7 / MA-04-1.3.1 DOK 2 / 2.8 / DOK Ceiling Level / 2 / B / There were 8 crayons total. 5/8 of the crayons were red. 8/8 – 5/8 = 3/8. So, 3/8 of the crayons were blue.
5 / 2.7 / MA-04-1.3.1 DOK 2 / 2.8 / DOK Ceiling Level / 1 / D / When you subtract ¾ - 2/4, the difference in the numerators is 1. The denominator stays the same. So, the difference is ¼.
6 / 2.7 / MA-04-1.3.1 DOK 2 / 2.8 / DOK Ceiling Level / 1 / B / The sum of the numerators is 6 (2 + 1 + 3). The denominator stays the same. So, the sum is 6/7.
7 / 2.7 / MA-04-1.3.1 DOK 2 / 2.8 / DOK Ceiling Level / 2 / A / 1/4 + 2/4 = 3/4
8 / 2.7 / MA-04-1.3.1 DOK 2 / 2.8 / DOK Ceiling Level / 2 / D / 1/8 + 4/8 = 5/8

Multiple Choice Item Information: Adding & Subtracting Fractions with Like Denominators Less Than or Equal to 10