School London Elementary (Week _8__)

Skill: Number Properties & Operations

SubjectMathGrade 5

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. / A new factory can place wrappers on chocolates at a speed of 512 pieces an hour. What is the best estimate of how many chocolates can be wrapped in 4 hours?
O / A. / 2,000
O / B. / 2,100
O / C. / 2,400
O / D. / 3,000
2. / Estimate the sum.
625 + 98 + 74 + 191
O / A. / 800
O / B. / 900
O / C. / 1000
O / D. / 1100
3. /
Franklin worked for 5/6 hour. He measured wood for 1/3 hour, cut wood for 2/6 hour, and nailed the pieces together for the remaining time. How much time did he spend nailing the wood?
O / A. / 1/6 hour
O / B. / 2/6 hour
O / C. / 3/6 hour
O / D. / 5/6 hour
4. / The 168 students going on a field trip are divided into groups of 18 for lunch. The remaining students will make another group. Which of the following is true?
O / A. / There will be 9 groups of 18 with none left over.
O / B. / There will be 10 groups of 18 with none left over.
O / C. / There will be one group with 9 students.
O / D. / There will be one group with 6 students.
5. / On an 18-day vacation, Billy and his family traveled a total of 3,955 mi.
Which is the best estimate for the average distance they traveled each day?
O / A. / less than 150 miles
O / B. / about 300 miles
O / C. / about 200 miles
O / D. / more than 400 miles
6. / Charlie can drive about 28 miles with 1 gallon of gas. Estimate how many miles Charlie can drive with eight gallons of gas
O / A. / 160 miles
O / B. / 200 miles
O / C. / 240 miles
O / D. / 400 miles
7. / Which basic fact can help you estimate the quotient for 3,547 ÷ 4?
O / A. / 3,000 ÷ 4 = 750
O / B. / 3,700 ÷ 4 = 900
O / C. / 4,000 ÷ 4 = 1,000
O / D. / 4,400 ÷ 4 = 1,100
8. /
Aaron ate 1/4 of a pizza for lunch, 1/2 of a pizza for supper, and 1/8 of a pizza for a late night snack.
How much pizza did he eat during the day?
O / A. / 7/8 ths
O / B. / 3/4 ths
O / C. / 1/12 ths
O / D. / 3/12 ths

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-05-1.2.1 Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world problems.

My Sleepover!
13. / My friends and I are going to have a sleepover this weekend at my
house. Mom will be ordering pizza for supper. We will also need soft drinks and
chips. We will need to get 4 pizzas, 14 drinks and 3 bags of chips. Each pizza will
cost $12.58. Each soft drink will cost $0.75 and each bag of chips will cost
$2.50. I can’t wait. I hope everyone will have fun.
a)Estimate to the nearest whole number the amount of money each of the individual items will cost. Then show the total individual estimated amounts for the pizzas, then for the soft drinks, and lastly for the chips.
b)What is the total estimated cost of the pizza, and the soft drinks, and the chips?
c)Calculate the amount of change that will be received if you give the clerk a $100.00 bill to pay for all the items needed for the party.
Remember: $ $ $ $ $ $ $
Do not write on this page. Please write your
answer to this open-response question in
the test answer booklet

STOP!

Student Name______

Scoring Guide

SCORE / DESCRIPTION
4 / Both parts a., b., and c. are answered correctly
3 / Procedures are correct for parts a., b., and c. but computational errors are present in part a., part b., or part c.
2 / Student figured amount of money, but figured it for fewer people than was needed for part a. Or subtraction, addition/multiplication, or estimation were incorrect.
1 / Parts a., b., and cwere incorrectly answered, but a reasonable attempt was made to solve the problem.
0 / Student’s response is totally incorrect or irrelevant.
Blank / No student response.

Annotated Rubric/ Performance Expectations for ORQ

Academic Expectation: 2.7 & 2.8

Core Content: MA-05-1.2.1 Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world problems.

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 estimation, adding and subtracting decimals, quantities, and computational results.

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

A. Individual price of each item: Pizzas were $12.58 each ------Estimation was $13.00 each

Soft Drinks were $0.75 each------Estimation was $1.00 each

Chips were $2.50 each ------Estimation was $3.00 each

Total for each individual item: Total estimation for 4 pizzas was ------$52.00

Total estimation for 14 soft drinks was ------$14.00

Total estimation for 3 bags of chips was ------$9.00

  1. Total cost for all the food and drinks were $75.00.
  1. The amount of change would be $100.00 - $75.00 = $25.00

Essential Vocabulary:

Estimation

Quantities

Computational Results

Manipulatives

Whole numbers

Fractions

Mixed numbers

Decimals

Multiple Representations

Symbols

Resources/Technology:

...

Grade 5 -- Math
Question / First
A.E. / First CC / Sec-ond A.E. / Sec-ond CC / DOK
Level of MC Ques-tion / Answer
Key / Rational/Annotation for MC Questions
1 / 2.7 / Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world problems. / 2.8 / DOK Ceiling Level / 2 / A / 2,000 is the correct answer. 512 estimated is 500. 500 x 4 = 2,000
2 / 2.7 / Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world problems. / 2.8 / DOK Ceiling Level / 2 / C / 1,000 is the correct answer. Using same place value estimation----- 625 estimated = 600, 98 estimated = 100, 74 estimated = 100 and 191 estimated = 200.
600 + 100 + 100 + 200 = 1,000
3 / 2.7 / Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world problems. / 2.8 / DOK Ceiling Level / 2 / A / 1/6 hour is correct. The first thing that needs to be done is to change the fractions 5/6, 1/3, and 2/6 to fractions using the LCM (least common denominator). The LCM for all three of these fractions is 6. The 5/6 does not change. The 1/3 becomes 2/6. And, the last 2/6 does not change. When you add the 2/6 (1/3) and the second 2/6 = 4/6. He spent a total of 5/6 hour working. 5/6 – 4/6 = 1/6.
4 / 2.7 / Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world problems. / 2.8 / DOK Ceiling Level / 2 / D / Choice D - there will be one group with 6 students. 168 divided by 18 = 9 remainder 6. The remainder will be the one group that only has 6 students in it. 18 groups x 9 students per group = 162 students. 168 students – 162 students = one group of 6 left over.
5 / 2.7 / Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world problems. / 2.8 / DOK Ceiling Level / 2 / C / About 200 miles – choice C. 3,955 miles estimated would be 4,000 miles. When you estimate 18 days it would change to 20 days.
4,000 miles divided by 20 days = 200 miles a day
6 / 2.7 / Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world problems. / 2.8 / DOK Ceiling Level / 2 / C / 240 is correct. 28 estimated = 30. You would then multiply 30 miles x 8 gallons of gas = 2,400 miles
7 / 2.7 / Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world problems. / 2.8 / DOK Ceiling Level / 2 / C / The correct answer is 4,000 ÷ 4 = 1,000. 3,547 estimated is 4,000. The 3 becomes a 4 because the number behind the 3 is a 5. If the number is 5 or greater then you would round the number up. All the numbers that follow would become zeros. If the number is 4 or less the front number stays the same and all the other numbers become zeros.
8 / 2.7 / Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world problems. / 2.8 / DOK Ceiling Level / 1 / A / A. 7/8 ths of the pizza is correct. You will need to Find the LCM (least common denominator) for the 1/2, 1/4, and 1/8. The LCD for all three is 8. The 1/2 = 4/8. The 1/4 = 2/8. The 1/8 will stay. You then add 4/8 + 2/8 + 1/8 = 7/8.

Multiple Choice Item Information: