Number & Operations - Task Sheets - Grades 3-5 : Task Sheets 3-5 [1 ed.] 9781553198048, 9781553194644

Citation preview

NUMBER AND OPERATIONS Principles & Standards of Math Series .................. Written by Nat Reed

GRADES 3 - 5

Classroom Complete Press P.O. Box 19729 San Diego, CA 92159 Tel: 1-800-663-3609 | Fax: 1-800-663-3608 Email: [email protected]

www.classroomcompletepress.com ISBN-13: 978-1-55319-364-4 © 2010 Permission to Reproduce Permission is granted to the individual teacher who purchases one copy of this book to reproduce the student activity material for use in his or her classroom only. Reproduction of these materials for colleagues, an entire school or school system, or for commercial sale is strictly prohibited. No part of this publication may be transmitted in any form or by any means, electronic, mechanical, recording or otherwise without the prior written permission of the publisher. We acknowledge the financial support of the Government of Canada through the Book Publishing Industry Development Program (BPIDP) for our publishing activities. Printed in Canada. All rights reserved.

Number and Operations CC3106

• recognize reasoning and proof as fundamental aspects of mathematics; • make and investigate mathematical conjectures; • develop and evaluate mathematical arguments and proofs; • select and use various types of reasoning and methods of proof.

• create and use representations to organize, record, and communicate mathematical ideas; • select, apply, and translate among mathematical representations to solve problems; • use representations to model and interpret physical, social, and mathematical phenomena.

• recognize and use connections among mathematical ideas; • understand how mathematical ideas interconnect and build on one another to produce a coherent whole; • recognize and apply mathematics in contexts outside of mathematics.

• organize and consolidate their mathematical thinking through communication; • communicate their mathematical thinking coherently and clearly to peers, teachers, and others; • analyze and evaluate the mathematical thinking and strategies of others; • use the language of mathematics to express mathematical ideas precisely.

• build new mathematical knowledge through problem solving; • solve problems that arise in mathematics and in other contexts; • apply and adapt a variety of appropriate strategies to solve problems; • monitor and reflect on the process of mathematical problem solving.

Instructional programs from prekindergarten through grade 12 should enable all students to:

Expectations

GOAL 1: Problem Solving

GOAL 5: Representation

2

GOAL 4: Connections

GOAL 3: Communication

GOAL 2: Reasoning & Proof



2

3

4

5

6

7

8

9 10 11 12 13 14 15

Drill Sheet 1

Drill Sheet 2

Review C

Review B

Review A

3



3









3



3 3 3 3 3 3 3



3 3 3 3



3 3 3 3 3 3 3

3 3 3

3

3 3 3 3 3 3 3 3 3 3 3 3

3 3 3

3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

3 3 3 3 3

3 3 3 3 3 3 3 3 3 3 3 3 3 3

3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

3 3 3 3 3 3 3 3 3 3 3 3

3

3 3 3

3 3 3

3 3 3

3 3 3

3 3 3

3 3 3 3 3 3 3

3

3







3 3 3

3 3

3 3 3 3 3 3 3 3 3 3 3









3 3 3 3 3

3 3

3 3

3 3 3 3 3 3 3 3 3 3 3

3

3 3 3 3 3

3 3 3



3 3 3 3





3 3 3 3

3 3 3 3 3

3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

3 3 3 3 3 3 3 3 3 3 3 3 3 3 3

1

Exercise

Process Standards Rubric .................. Number and Operations

Number and Operations CC3106

Contents

.................. TEACHER GUIDE • NCTM Content Standards Assessment Rubric . ............................................ 4 • How Is Our Resource Organized? . ................................................................ 5 • The NCTM Principles & Standards................................................................ 6

STUDENT HANDOUTS • Exercises Task Sheet 1................................................................................................. 7 Task Sheet 2.................................................................................................... 8 Task Sheet 3.................................................................................................... 9 Task Sheet 4................................................................................................. 10 Task Sheet 5................................................................................................. 11 Task Sheet 6................................................................................................. 12 Task Sheet 7................................................................................................. 13 Task Sheet 8................................................................................................. 14 Task Sheet 9................................................................................................. 15 Task Sheet 10............................................................................................... 16 Task Sheet 11............................................................................................... 17 Task Sheet 12............................................................................................... 18 Task Sheet 13............................................................................................... 19 Task Sheet 14............................................................................................... 20 Task Sheet 15............................................................................................... 21

EZ

• Drill Sheets................................................................................................... 22 • Review......................................................................................................... 24 EASY MARKING™ ANSWER KEY . ........................................................... 27 MINI POSTERS .......................................................................................... 30

FREE!

4 6 BONUS Activity Pages! Additional worksheets for your students

NAME:

• Go to our website: www.classroomcompletepress.com/bonus • Enter item CC3106 • Enter pass code CC3106D for Activity Pages.

Student Worksheet

...................

Activity Six NAME:

Student Worksheet

6a) These two number sentences belong to a fact family: ................... • 6 + 4 = 10

Activity Five NAME:

Activity Four NAME:

NAME:

NAME:

Student Worksheet

Joanie, Rene and Marcel went to the amusement park for the day. Rene is only 8 years old so her admission ticket price was half of her friends’. If Joanie and Marcel each paid $6.50 to enter the amusement park, what did Rene pay? Circle the correct answer. i) $3.25

b)

10 – 4 = 6

COMMUNITY

2005

Kickpot

Student Worksheet

148

Ransack

many buses will be needed?

456 21

ii)

2009

15 – 3 = 12

iii)

210

42 + 19 = 61

412 256

b)

12 – 3 = 9

vii)

11 + 6 = 17 61 + 19 = 42

Subtract the following integers. i) 12 – 9 = ___

2005 community donated all of the apples during his 40 hour work week. How many apples does Kevin expect to money toward this project. If each family donated an average of $7.50, how much money was raised? pick in total? 2009

vii)

67

787 121

ii) -14 – 12 = ___

iii) -3 + 4 = ___

iv) -9 - ___ = -4

ii) 1/8 + 6/8 = ___

iii) 4/7 + ___ = 6/7

iv) 2/3 + 2/3 = ___

List the communities in order of size from least to greatest for both years: 3a) Kevin has a summer job working for Summerside Orchards picking apples. The orchard ................... Adam’s is raising money for new playground equipment. 287 families in the c) Add the following fractions. has 130 apple trees with about 60 apples on each tree. Kevinb) thinks that heschool can pick

Activity Two

15 – 9 = 6

vi)

17 – 11 = 6

iv)

432

Boogerville

Gravydish Answer: __________

v)

i)

3

/5 + 1/5 = ___

Answer: __________ ................... 2a) A man has to be at work by 8:00 a.m. It takes him 10 minutes to get dressed, 10 minutes

Activity One 1a)

2009.

4a) Jacob’s school is planning a trip to the Science Center on Friday. 275 students and ................... Play-doo 35 adults will be going on the trip. If a school bus holds a maximum of 50 people, how

Activity Three

Student Worksheet

•

Which of the following pairs of number sentences belong to the same fact family? Put a check mark (4) beside the ones which are correct (more than one answer may be

Student Worksheet

correct). 5a) In the imaginary country of Sram there are two villages, two towns and one city. The ................... populations of these communities are listed in the chart below for the years 2005 and i) 6 + 9 = 15

ii) $3.50

iii) $3.75

b)

iv) $3.15

Answer: __________ d) Write the following fractions in order from greatest to least. to shower, 15 minutes to eat breakfast, and 20 minutes to walk to work. the latest b) What How ismany apples will he have to pick per hour to finish by thec) endKaleigh’s of the week? Rachel Maggi’s mom gave them both a supply of pencils and erasers in 1 mother planted her flower garden this week. If sheb) planted 112and seeds and half /2 3/4 7/8 4/3 1/5 • time he needs to get up so that he can get to work on time? Circle the correct Circle the correct answer. September. They received a total of 42 pencils and 24 erasers. How many of each item were tulips, how many tulip seeds did she plant? answer. would each girl receive if they were divided equally? Answer: ______________________________ i) 320 ii) 210 iii) 195 iv) 515 Answer: __________ i) 7:10 a.m. ii) 7:15 a.m. iii) 7:05 a.m. iv) 7:00 a.m. Pencils: __________ Erasers: __________ c) Emily bought two Frisbees for $2.50 each and a rubber ball for .75¢. How much did she e) Give the correct percentages of the following number: 60 d) There are 18 pupils in Samuel’s karate class. For every four boys there are two girls. How spend? The Peterborough Petes hockey club sold 1232 season tickets in Year One. In Year Two c) The menu in the school cafeteria has the following items for sale: Hamburgers - $3.00; many girls are in the class? How many boys? i been 50%given they sold 125 more than in Year One. In Year Three they sold a total of 2001 season Hotdogs - $2.50; French Fries - $2.00; Soda - $1.25; Popcorn - $0.50. You have Answer: __________ tickets. How many season tickets were sold in the three years? $6.00 for lunch and must spend it all on three items. What three items would buy? ii you25% Girls: __________ Boys: __________ i) 4678 ii) 3987 iii) 4590 iv) 4370 d) Jeremy has several quarters, two dimes and a penny in his pocket. He knows that the iii 90% Answer: _________________________________________________________________________ total amount of money he has is $2.46. How many quarters does Jeremy have in his

e) A school has 500 students. Each of the four portions of the diagram below shows 25% pocket? Jerry’s dad planted 14 azaleas. All but four were killed by a late frost. How many are At the hot dog stand the three friends each bought the following: 1 c) hot dog at $1.50 © d) shows Jackie’s album stamps are of the student population. The shaded portion of the diagram the stamp students who contains 7 rows of 6 stamps per page. How many left? each; 1 soda at $1.25 each; and 1 cotton candy at $2.00 each. What was the total i) 8 ii) 6 iii) 10 iv) take 9 there on one page? a bus to school. amount paid by the three friends for their food? Answer: __________ e) Mrs. Sanfred has 7 guinea pigs and 8 white mice in her classroom. Which of the following Answer: __________ ii) $15.50 iii) $13.75 iv) $14.25 fractions represents the ratio of white mice to guinea pigs?

6A

Number and Operations CC3106

i) $16.25

c)

d) Lindee mailed three packages to friends who were away at summer camp. ii) 7/8 iii) 16/7 i) 8/7The cost of At the game booth, altogether the three friends won the following tokens: postage for the first two was $2.25 each; the third was $4.27. How much was the total cost in postage? f) Which rule describes this number pattern? i) $8.77 Seven tokens are needed to win a large stuffed panda bear. Did the three friends have enough tokens for each of them to win stuffed pandas? Yes

e)

No

ii) $7.89

iii) $8.98

iv) $9.76

How much change would Lindee receive from a $10.00 bill?

ii)

Answer: __________

iv) 8/14 © answer. How many students take a bus to school? Circle the correct i) 125

ii) 100

iii) 150

5A

Number and Operations CC3106

iv) 140

21, 29, 37, 45 … i)

subtract 7 to get the next number

4A

©

add 8 to get the next number

iii)

multiply by 2 to get the next number

iv)

divide by 2 to get the next number

Number and Operations CC3106

Explain Your Answer f)

How many different combinations of U.S. coins can you use to make © .16¢? i) 6

d)

The Wild Mouse is one roller coaster that all three friends wanted to ride. Altogether the friends had put aside $10.00 to ride the Wild Mouse. If the ride cost $1.00 per ride per © person, how many times could each of them go on it? i) 4

©

3

ii) 3

iii) 2 1A

ii) 5

iii) 8

2A

3A

Number and Operations CC3106

iv) 7

Number and Operations CC3106

iv) 5

Number and Operations CC3106

Number and Operations CC3106

• Demonstrates a limited understanding of the meanings of operations and how they relate to one another

Understanding Meanings of Operations and How They Relate to One Another

4

STRENGTHS:

Computing and Making Estimates • Demonstrates some ability in computing and making estimates

WEAKNESSES:

• Demonstrates limited ability in computing and making estimates

• Demonstrates a basic understanding of numbers, ways of representing numbers and relationships among number systems

• Demonstrates a limited understanding of numbers, ways of representing numbers and relationships among number systems

Understanding Numbers, Ways of Representing Numbers, Relationships Among Number Systems

• Demonstrates a basic understanding of the meanings of operations and how they relate to one another

Level 2

S

Level 1

NEXT STEPS:

• Demonstrates satisfactory ability in computing and making estimates

• Demonstrates a good understanding of the meanings of operations and how they relate to one another

• Demonstrates a good understanding of numbers, ways of representing numbers and relationships among number systems

Level 3

• Demonstrates strong ability in computing and making estimates

• Demonstrates a thorough understanding of the meanings of operations and how they relate to one another

• Demonstrates a thorough understanding of numbers, ways of representing numbers and relationships among number systems

Level 4

Student’s Name: _______________________________ Assignment:_______________________ Level:____________

NCTM Content Standards Assessment Rubric .................. Number and Operations

Number and Operations CC3106

Before You Teach

..................

Teacher Guide Our resource has been created for ease of use by both TEACHERS and STUDENTS alike. Introduction

The NCTM Content Standards Assessment Rubric (page 4) is a useful tool for evaluating work in many of the activities in our resource. The Review (pages 24-26) is divided by grade and can be used for a follow-up review or assessment at the completion of the unit.

ur resource offers ready-to-use worksheet activities for students in grades three to five. Math concepts outlined by the NCTM are presented in a way that encourages students to learn and review important concepts. Our resource can be used effectively for whole-class, small group and independent work. This book’s exercises vary in difficulty and content so as to provide teachers and students with a variety of teaching and learning opportunities. Included are problems using multiplication and division, place value, fractions, percent and decimals. Visual models are included to assist visual learners. Teachers may also choose to use mathematics manipulatives along with the exercises included in this book to help address the needs of kinesthetic learners.

O

PICTURE CUES This resource contains three main types of pages, each with a different purpose and use. A Picture Cue at the top of each page shows, at a glance, what the page is for.

Teacher Guide • Information and tools for the teacher



Student Handout • Reproducible worksheets and activities

EZ

Easy Marking™ Answer Key • Answers for student activities

EASY MARKING™ ANSWER KEY

How Is Our Resource Organized?



STUDENT HANDOUTS Reproducible task sheets and drill sheets make up the majority of our resource. The task sheets contain challenging problem-solving tasks, many centered around ‘real-world’ ideas or problems, which push the boundaries of critical thought and demonstrate to students why mathematics is important and applicable in the real world. It is not expected that all activities will be used, but are offered for variety and flexibility in teaching and assessment. Many of the task sheet problems offer space for reflection, and opportunity for the appropriate use of technology, as encouraged by the NCTM’s Principles & Standards for School Mathematics.

Marking students’ worksheets is fast and easy with this Answer Key. Answers are listed in columns – just line up the column with its corresponding worksheet, as shown, and see how every question matches up with its answer! NAME:

1

+ 2

Every question matches up with its answer!

Task Sheet

...................

Task Sheet 1 1a)

©

You and three friends bought a carrot cake to eat for dessert. You have the task of dividing the cake equally among each of you. Show in the diagram on the right where you would cut the carrot cake.

1. a)

2.

3.

4.

6.

7.

a)

a)

i) $2.20

i) 4 ii) 4

a) iii) 3/9

iv) 4 a) iv) 16 students

b)

Just before you make the cuts, one of your three friends changes her mind and decides she did not want a piece of cake. How would you cut up the carrot cake now?

a) i) .41cents

b)

b) iv) 1/3 b) No - she only has $3.45

b) i) 144 inches (366 cm)

10

b) 9

c)

b) iii) .23¢ (the cost of the cup remains constant)

5.

/2

1

1

/4

1

Diamonds 2/8; c) No. The greatest number, 12/25, is less than half.

The numerator in each of the models below is 1, but the denominator changes. Shade each of the diagrams to show 1/2, 1/3, 1/4 and 1/5 . 1

c) Hearts 3/8;

a) ii) 1/12

c)

Clubs 2/8; Spades 1/8

b) 2/6 and 1/3

/3 d) 5 of the faces would be colored.

c) 16

/5

c) iii) 2/5 c) iv) .14 cents

The drill sheets are provided to help students with their procedural proficiency skills, as emphasized by the NCTM’s Curriculum Focal Points. 5





d) 2/16 , 3/8 , 1/2 and 3





EZ

©

Describe how increasing the denominator changes the value of the fraction.

Number and Operations CC3106

d)

d) When the denominator increases and the numerator stays the same, the fraction gets smaller.

/4

11

12

13

Number and Operations CC3106

Number and Operations CC3106

Before You Teach

..................

Principles & Standards Principles & Standards for School Mathematics outlines the essential components of an effective school mathematics program. The NCTM’s Principles & Standards for School Mathematics The Principles are the fundamentals to an effective mathematics education. The Standards are descriptions of what mathematics instruction should enable students to learn. Together the Principles and Standards offer a comprehensive and coherent set of learning goals, serving as a resource to teachers and a framework for curriculum. Our resource offers exercises written to the NCTM Process and Content Standards and is inspired by the Principles outlined below.

Six Principles for School Mathematics Equity Curriculum Teaching

EQUITY: All students can learn mathematics when they have access to high-quality instruction, including reasonable and appropriate accommodation and appropriately challenging content. CURRICULUM: The curriculum must be coherent, focused, and well articulated across the grades, with ideas linked to and building on one another to deepen students’ knowledge and understanding. TEACHING: Effective teaching requires understanding what students know and need to learn and then challenging and supporting them to learn it well.

Learning

LEARNING: By aligning factual knowledge and procedural proficiency with conceptual knowledge, students can become effective learners, reflecting on their thinking and learning from their mistakes.

Assessment

ASSESSMENT: The tasks teachers select for assessment convey a message to students about what kinds of knowledge and performance are valued. Feedback promotes goal-setting, responsibility, and independence.

Technology

TECHNOLOGY: Students can develop a deeper understanding of mathematics with the appropriate use of technology, which can allow them to focus on decision making, reflection, reasoning, and problem solving.

Our resource correlates to the six Principles and provides teachers with supplementary materials which can aid them in fulfilling the expectations of each principle. The exercises provided allow for variety and flexibility in teaching and assessment. The topical division of concepts and processes promotes linkage and the building of conceptual knowledge and understanding throughout the student’s grade and elementary school career. Task sheet problems offer space for reflection, and opportunity for the appropriate use of technology. The drill sheets are provided to help students with their procedural proficiency skills. 6

Number and Operations CC3106

NAME:

1

+ 2

Task Sheet

...................

Task Sheet 1 1a) You and three friends bought a carrot

cake to eat for dessert. You have the task of dividing the cake equally among each of you. Show in the diagram on the right where you would cut the carrot cake.

b) Just before you make the cuts, one of your three friends changes her mind and decides she did not want a piece of cake. How would you cut up the carrot cake now?

c) The numerator in each of the models below is 1, but the denominator changes. Shade each of the diagrams to show 1/2, 1/3, 1/4 and 1/5 .

/2

1

/3

/4

1

1

/5

1

d) Describe how increasing the denominator changes the value of the fraction.

©



Number and Operations CC3106

1

+ 2

NAME:

Task Sheet

................... .

Task Sheet 2 2a) Justin and Caleb are collecting football cards. So far they have 36 different cards. They are going to enter their collection in their school’s hobby fair, where they plan on putting the cards into groups. Listed below are four possible groups, but not all are correct. Put a check mark (4) beside the ones which are correct [more than one answer may be correct]. i)

4 groups of 9

ii)

3 groups of 12

iii)

5 groups of 8

iv)

6 groups of 6

b) Justin and Caleb’s collection contains players from four NFL teams. If each team has an equal number of cards, how many cards do Justin and Caleb have from each team?

c) During the hobby fair the boys gave four of their cards away as door prizes. After the fair was over they decided to divide the rest of the cards between themselves. How many cards did each get?

Explore With Technology

Imagine that you got $50.00 to spend on sports cards. Go to a website such as http://shop.ebay.com/ and choose cards which could start your collection. On a separate piece of paper, list your selections and the reasons for your choices. List the prices and how much of the money you would spend in total.

©



Number and Operations CC3106

NAME:

1

+ 2

Task Sheet

...................

Task Sheet 3 3. Lemonade Stand Kerri and April have decided to open a lemonade stand this summer beside Kerri’s house. They will offer their customers three sizes of drink – small, medium, and large. Before setting a price for their product they must first calculate what their cost will be: • 100 paper cups in 3 different sizes - $5.00 • Lemonade mix (good for 10 large cups) - $3.60

a) What is the girls’ cost (including paper cup and mix) for a large cup of lemonade?

i) .41¢

Circle the correct answer. ii) .39¢

iii) .45¢

iv) .30¢

b) If the medium-sized cup is 50% the size of the large cup, what would be their cost per medium cup of lemonade?

i) .19¢

ii) .28¢

iii) .23¢

iv) .33¢

Explain Your Answer

c) If the small cup is ½ the size of the medium cup, what would be their cost per small cup of lemonade?

i) .09¢

ii) .18¢

iii) .23¢

iv) .14¢

Explain Your Answer

©



Number and Operations CC3106

1

+ 2

NAME:

Task Sheet

...................

Task Sheet 4 4a) Jeff buys a chilidog at the baseball game. The chilidog costs $1.50 but Jeff decides to add a few items: i)

onions and relish – .25¢

ii)

mushrooms and olives – .35¢

iii)

hot peppers – .10¢



What is the total cost of his chilidog? Circle the correct answer.



i) $2.20

ii) $2.50

iii) $1.90

iv) $2.15

b) Salima has been saving her money for a new skipping rope. The local corner store has them on sale for $3.55 (including tax). Salima finds the following in her change jar:



Does Salima have enough to buy the skipping rope? Yes

No

Explain Your Answer

©

10

Number and Operations CC3106

NAME:

1

+ 2

Task Sheet

...................

Task Sheet 5 5a) Jenna has 12 colored pencils in her pencil case. RED

RED

RED

RED

BLUE

BLUE

BLACK

GREEN

GREEN

GREEN

GREEN

GREEN



If Jenna reaches into her pencil case without looking, what is the probability of her picking out a black pencil? Circle the correct answer.



i) 4/12

ii) 1/12

iii) 1/8

iv) 1/4

b) 4/12 of Jenna’s pencils are red. Give the correct numerator for these two equivalent fractions: /6

and

/3

c) Most people take hurricane warnings seriously. If the local weather report said that there was a 40% chance of a hurricane happening today, what fraction represents this percentage?

i) 4/12

ii) 4/20

iii) 2/5

iv) 1/4

d) Write the following fractions in order from least to greatest.

/2

1

/4

3

/8

3

/16

2

Explain Your Answer

©

Compare your answer with another student’s and discuss similarities and differences.

11

Number and Operations CC3106

1

+ 2

NAME:

Task Sheet

...................

Task Sheet 6 6a) At lunchtime today at Jenna’s school, one hundred students played in four different areas of the playground. •

64% played either on the climbing apparatus or on the baseball diamond

•

20% played on the swings



How many students played on the basketball court? Circle the correct answer.



i) 28 students

ii) 24 students

iii) 12 students

iv) 16 students

b) The swing set is three times taller than Ralphie, who is 48 inches (122 cm) tall. How tall is the swing set?

i) 144 inches (366 cm) ii) 96 inches (224 cm) iii) 100 inches (254 cm) iv) 110 inches (279 cm)

c) Jenna took a survey among the 25 students in her class to see what else they would like to see added to the school playground. This was the result:



•

Maypole – 4

•

Large slide – 12

•

Running track – 8

•

Hedge maze – 1

Explore With Technology Use your calculator.

If Jenna’s findings stayed true for all 200 students in her school, how many students would have selected:

Did at least one-half of the students support any one of these ideas? Yes

• • • •

No

Maypole Large slide Running track Hedge maze

Explain Your Answer

©

12

Number and Operations CC3106

NAME:

1

+ 2

Task Sheet

...................

Task Sheet 7 7a) What fraction of the balls are footballs?

i) 3/6

ii) 6/9

Circle the correct answer. iii) 3/9

iv) 3/3

b) What is another way of expressing this fraction?

i) 2/3

ii) 1/4

iii) 1/2

iv) 1/3

c) Write the fraction represented by: i)

Hearts

___/___

iii)

Clubs

___/___

ii)

Diamonds

___/___

iv)

Spades

___/___

d) With a colored pencil, shade in the happy faces to show the fraction 5/6.

Investigate

©

Choose one particular physical feature (i.e. hair color, wearers of glasses, male/female, etc.). What fraction of the students in your class meet this criteria? Explain your answer.

13

Number and Operations CC3106

1

+ 2

NAME:

Task Sheet

...................

Task Sheet 8 8a) Joel has 20 comic books in his collection. One-half are

superhero comics. What percent is this of his collection? Circle the correct answer.



i) 50%

ii) 25%

iii) 75%

iv) 33%

b) How many comics in Joel’s collection are superhero comics? i) 8



ii) 10

iii) 12

iv) 15

c) Five of Joel’s comics are from the Archie® series. What percent is this of his collection? i) 90%



ii) 50%

iii) 75%

iv) 25%

d) Frank, Joel’s friend, also has a comic collection. If six of Frank’s collection of 60 comics are classics, what is an equivalent fraction of this amount (6/60)? i) 1/10



ii) 1/5

iii) 1/20

iv) 1/16

e) Frank had purchased 15 comics at a recent comic convention, quickly increasing the size of his collection. What is the equivalent fraction of i) 3/12



ii) 6/12

iii) 3/15

/60?

15

iv) 9/30

People love to collect things. Stamp collecting, for instance, has been a popular hobby for many years. You can investigate the value of some stamps on internet sites such as www.findyourstampsvalue. com. The most valuable American stamp is an 1867 stamp of Abraham Lincoln.

Explore With Technology

• How much is this stamp worth? • How many could you buy for one million dollars and how much change would you have left over?

©

14

Number and Operations CC3106

NAME:

1

+ 2

Task Sheet

...................

Task Sheet 9 9a) Mount McKinley is 20,320 feet (6,193 meters) above sea level



- the highest spot in North America. Death Valley, on the other hand, is 282 feet (86 meters) below sea level – the lowest spot. Which of the four numbers below is the correct distance from the top of Mt. McKinley to the bottom of Death Valley? Circle the correct answer.



i) 20,038 feet (6,108 meters)

ii) 21,454 feet (6,539 meters)



iii) 20,602 feet (6,279 meters)

iv) 21,602 feet (6,584 meters)

b) Continue the following pattern by providing the correct integers.

3 – 1 =

2

3 – 2 =

1

6 – -2 =

8



3 – 2 =

1

3 – 1 =

2

6 – -3 =

9



3 – 3 =

0

3 – 0 =

3

6 – -4 =



3 – 4 =



3 – -1 =



6 – -5 =



3 – 5 =



3 – -2 =



6 – -6 =

-10

-9

-8

-7

-6

-5

-4

-3

-2

-1

+0

+1

+2

+3

+4

+5

+6

+7

+8

+9

+10

c) On the above number line, circle the numbers which represent the following facts, and write the answer to the right of the statement:

i)

five degrees below zero

_____



ii)

four goals scored by a soccer team

_____



iii)

a loss of $9.00

_____



iv)

seven steps forward

_____

d) On Friday Josh receives a $10.00 allowance from his mom. After giving his sister $2.00, he agrees to buy a skateboard from his friend Sandy at a cost of $16.00. He tells Sandy he will pay him all the money he has now and give him the rest next Friday from his allowance. How much does Josh still owe his friend? ©

i) $7.00

ii) $10.00

iii) $6.00

iv) $8.00 15

Number and Operations CC3106

1

+ 2

NAME:

Task Sheet

...................

Task Sheet 10 10a) Carley did a survey of the students in her class and found that 60% thought that the food served in the cafeteria wasn’t healthy enough. Which of the following fractions is equivalent to 60%? Circle the correct answer.



i) 3/5

b)

What fraction of the vehicles above are cars? ___/___

c)

What is an equivalent fraction?



i) 1/2

ii) 6/5

ii) 2/5

iii) 2/3

iv) 3/6

iii) 3/5

iv) 1/4

d) Two ice cream cakes are served at the winter carnival. Each cake is cut into 8 pieces. The carnival queen took note of how many pieces of cake each of her princesses ate and recorded the data below. Name Pieces Eaten

Princess #1 Princess #2 Princess #3 Princess #4 Princess #5 Princess #6 1

3

2

2

4

3



How many ice cream cakes were eaten in total? Express your answer as a fraction.



Answer: ______________

Show Your Work

©

16

Number and Operations CC3106

NAME:

1

+ 2

Task Sheet

...................

Task Sheet 11 11.

Jonas has a rather unusual hobby. He collects buttons, but not the ordinary buttons that come sewn on a shirt. Jonas collects tin buttons that can be pinned on a shirt. The buttons pictured below are part of his collection. #1

#2

#3

a)

Jonas has several copies of each of these three buttons. Altogether this accounts for the 15 buttons in his collection. If button #1 accounts for 2/3 of this number, how many copies of this button does he have? Circle the correct answer.



i) 10

b)

He has 3 copies of button #2. What fraction is this of the total?



i) 2/5

c)

Jonas was thrilled to add another button to his collection. He received 5 copies of this button. What fraction of his new total does this button represent?



i) 2/6

ii) 12

ii) 1/5

ii) 1/2

iii) 5

iv) 9

iii) 1/15

iv) 3/12

iii) 1/5

iv) 1/4

Show Your Work

©

17

Number and Operations CC3106

1

+ 2

NAME:

Task Sheet

...................

Task Sheet 12 12a)

Caleb bought a bag containing 36 candies. From the bag Caleb picked 12 candies without looking. He got 6 red, 3 blue, 2 green, and 1 orange candy.



If the rest of the candies were the same color combination as the 12 he picked out, how many candies of each of these four colors were in the bag when Caleb bought it? Red

Blue

Green

Orange

Explain Your Answer

Explore With Technology

b)

Caleb’s teacher, Mrs. Kendell, decides to raise money for a class trip through the sale of candy. Imagine you are Mrs. Kendell and that you have to place an order for candy on the internet.

Go to a site such as www.metrocandy.com/bulk-candy. Imagine you have $100.00 to spend. On a separate piece of paper place your imaginary order, listing your selections and the cost. Be sure not to ‘spend’ over $100.00 (including shipping).

Josh is given a taste of Caleb’s candy and likes it so much he decides to buy his own. He doesn’t have much money so he decides to shop around for the best buy. He visits three stores offering the same kind of candy his friend Caleb bought. He would like to buy at least 50 so he can share with his friends. • Maggie’s Mart sells a package of 50 for $1.49 • Fred’s Farm-a-cee sells a package of 25 for .75¢ • Junior’s Candy Palace sells them individually for .03¢ each.



©

What is the best deal for Josh? ______ 18

Number and Operations CC3106

NAME:

1

+ 2

Task Sheet

...................

Task Sheet 13 13.

The Seashell Collection: Following the class’s trip to the beach, many students in Ms. Clark’s class started to collect seashells. On Monday Adrian and Karley brought their collections to school.

a)

Write two mathematical sentences using these two groups of seashells.

b)

If the two groups of seashells pictured above were added together, what would be: i)

1

ii)

1

/2 of the total? _____ /4 of the total? _____

iii) 1/8 of the total? _____

c)

If Robin added four more seashells to this collection, what fraction of the total collection belongs to her? Circle the correct answer.



i) 1/2

©

ii) 1/4

iii) 1/5

iv) 1/6

19

Number and Operations CC3106

1

+ 2

NAME:

Task Sheet

...................

Task Sheet 14 14.

The Frog: A frog’s life is made up of a number of stages. It begins its life as an egg, a stage that lasts for about three weeks. After this it becomes a tadpole. After about five weeks as a tadpole it begins to change, but doesn’t become a fully developed frog until eleven weeks after the egg was laid.

a)

What fraction of this cycle represents the egg stage? Circle the correct answer.



i) 3/8

b)

What fraction represents the tadpole stage?



i) 8/11

c)

How many days do the egg and tadpole stages represent?



i) 77 days

d)

The cricket frog has three toes on each of its four feet. What fraction does this represent of its total number of toes?



i) 2/12

e)

People often confuse frogs with toads. There are actually about 400 species of frogs and 300 species of toads in the world. What fraction of the total represents frogs?



i) 3/4

f)

Frogs and toads can live a surprisingly long time. The longest lifespan recorded was that of a European Common Toad at 40 years! However, most frogs and toads live only about five years. What fraction is this of the record-holding European Common Toad?



i) 1/8

©

ii) 3/5

ii) 3/11

ii) 35 days

ii) 1/4

ii) 3/7

ii) 1/4

iii) 5/11

iii) 5/11

iii) 56 days

iii) 1/3

iii) 4/7

iii) 4/16

iv) 3/11

iv) 3/8

iv) 21 days

iv) 1/2

iv) 4/3

iv) 5/20

20

Number and Operations CC3106

NAME:

1

+ 2

Task Sheet

...................

Task Sheet 15 15a)

For his class party at school, Wyatt baked a pan of brownies to share equally among either 4, 5, or 10 of his friends. How many brownies did he need? Circle the correct answer. i)

12

ii) 16 iii) 20 iii) 25

b)

To make the brownies, the following ingredients were needed (along with the cost of each): • • • • • • •

Explore With Technology Use a calculator to complete this chart:

1 stick butter - $1.29 1/4 cup cocoa - .75¢ 3 eggs - .50¢ 1 cup sugar - .25¢ 1 cup flour - .20¢ 1 teaspoon baking powder - .05¢ 1 teaspoon vanilla - .03¢

Multiply 4323 x5861 x3487 x5598 x2156



What was Wyatt’s cost in making the pan of brownies?



i) $2.76

c)

Wyatt’s brownie making experience was such a hit that he and his friends decided to make more and to sell them at the local bake sale. Using the above costs, how much will Wyatt and his friends have to charge for each pan of brownies if they were to add a 50% markup?



i) $5.00

ii) $3.87

ii) $4.60

iii) $3.07

iii) $4.25

iv) $1.97

iv) $5.50

Explain Your Answer

©

21

Number and Operations CC3106

NAME:

Drill Sheet

...................

Drill Sheet 1



a) For each pair of decimal numbers, circle the one which is LARGER. i) 2.8

2.67

vi) 18.8

18.676

ii) 0.3

0.33

vii) 0.1

0.02

iii) 0.12

0.3

viii) 4.67

4.8

iv) 9.65

9.7

ix) 0.9

0.899

v) 0.672

0.8

x) 67.99

67.00

Place the correct number in each of the boxes in the following questions to make this number sentence correct. b)

75 –



i) 36

c)

7 x 8 =



= 39 ii) 42

iii) 26

iv) 51

i) 42

ii) 49

iii) 56

iv) 58

d)

64 – 35

= 14 +



i) 19

ii) 23

iii) 31

iv) 15

©

22

Number and Operations CC3106

NAME:

Drill Sheet

...................

Drill Sheet 2 a)

In the following model,



What is the sum of the numbers represented by the above model? Circle the correct answer.



i) 324

b)

Hidden Numbers



i) 6 x



v) 42 /



ix) 14 + 17 +

c)

In the place value chart below, what number is represented?

ii) 243

= 48

ii) 7 x

= 7

vi) 81 /



©

i) 20134

iii) 234

= 49

iii) 8 x

= 9

vii) 14 /

= 55

ten thousands (

( (

represents 1.

thousands M

x) 78 – 51 +

hundreds Ø

M

ii) 2134

iv) 244

= 64

iv) 4 x

= 2

viii) 56 /

23

=8

= 44

tens

II

II II II

iii) 21034

= 36

ones

[]

[] [][][]

iv) 21314

Number and Operations CC3106

NAME:

...................

Review A a) A half-dozen fancy donuts costs $3.60 at the local bakery. What would be the cost per donut? Circle the correct answer.

A B C D

.60¢ .45¢ .90¢ .30¢

b) Replace each blank with the correct digit. i) 3 __ + 6 5 9 6

ii) 4 5 + 1 5 7

c) The number ten thousands (

iii) 6 __ + 2 4 8 6

iv) 7 2 - 3 4 1

v) 9 8 - 7 2 4

is represented in the place value chart below. thousands M

M M M M

hundreds Ø

ØØ

tens

II

ones

II II

[]

[] [][][] [][][]

d) A group of 27 Grade 2 students and 23 Grade 3 students go to the park. What is the total number of students in the group?

i) 40

ii) 60

iii) 70

iv) 50

e) In the following number pattern Letitia is counting backwards by 100s.

764, 664, 564, ___, ___



What will the next two numbers be in her pattern?

©

i) 864, 964

ii) 464, 364

iii) 364, 264 iv) 564, 664

24

Number and Operations CC3106

NAME:

...................

Review B a)

Listed below is a number pattern showing how Karla’s book collection grew over the last four months.



7, 13, 19, 25 . . .



If Karla’s book collection grows by the same number this month, how many will she have in total? Circle the correct answer.



i) 31



How many books will she have the following month if the collection continues to grow by the same number?



v) 41

b)

Replace each blank with the correct digit.

i) 7 2 3 + 1 4 8 6 6

ii) 29

iii) 30

vi) 36

ii) 9 1 6 + 2 2 1 1 5 8

vii) 37

iii) 7 8 7 - 6 2 4 2 5

iv) 32

viii) 43

iv) 8 5 - 5 2 7 3 3 1

v) 6 7 7 - 4 2 2 3 5

c)

Find the equivalent fractions for



i) 1/2 = __/4

d)

Emily is buying pens for school. The local store has packs of 3 pens for $1.99 and packs of 10 pens for $5.29. Which is the better buy?

ii) 3/5 = __/10

iii) 6/10 = __/5

iv) 4/12 = __/3

v) 2/7 = __/21

Explain Your Answer

©

25

Number and Operations CC3106

NAME:

...................

Review C a)

Which of the following activities would be best measured to the nearest hundredth of a second? Circle the correct answer. i)

a television ad

ii) a horse race iii) shopping for a birthday gift iv) reading a chapter of a novel

b)

Replace each blank with the correct digit.

i) 7 4 2 + 1 7 3 8 9 1 5 8

ii) 2 4 6 + 1 3 4 3 3 7 6 9

iii) 7 2 0 7 - 4 3 4 2 8 8 3

iv) 6 8 5 - 5 3 7 2 1 2 1 3

v) 8 9 9 - 7 6 5 4 1 3 4 5

c)

Place a > (greater than) or a show which is greater.



i) 4/7

d)

Jasmine has a package of 50 pipe cleaners. 30 of the pipe cleaners are red and 20 are blue. If Jasmine randomly picks 10 pipe cleaners, how many should she expect to be red?



i) 7

e)

A 5 lb bag of sugar costs $5.49 while a 20 lb bag costs $17.49. Which is the better buy?

/7

2

ii) 1/3

ii) 8

/2

1

< (less than) between the pairs of fractions to iii) 1/5

/5

2

iii) 5

iv) 1/4

/5

2

v) 3/4

/10

8

iv) 6

Explain Your Answer

©

26

Number and Operations CC3106

©

7

When the denominator increases and the numerator stays the same, the fraction gets smaller.

d)

c)

b)

a)

a)

8

c) 16

b) 9

iv) 4

ii) 4

i) 4

2.

1.

9

c) iv) .14 cents

(the cost of the cup remains constant)

b) iii) .23¢

a) i) .41cents

3.

11

3

/4

d) 2/16 , 3/8 , 1/2 and

c) iii) 2/5

b) 2/6 and 1/3

a) ii) 1/12

5.

10

b) No - she only has $3.45

i) $2.20

a)

4.

12

c) No. The greatest number, 12/25, is less than half.

(366 cm)

b) i) 144 inches

a) iv) 16 students

6.

13

d) 5 of the faces would be colored.

Spades 1/8

Clubs 2/8;

Diamonds 2/8;

c) Hearts 3/8;

b) iv) 1/3

a) iii) 3/9

7.

EZ

Number and Operations CC3106

©

14

3

e) i) /12

d) i) 1/10

c) iv) 25%

b) ii) 10

a) iii) 20,602

a) i) 50%

15

d) iv) $8.00

iii) -9 iv) +7

c) i) -5 ii) +4

10, 11, 12

b) -1, -2, 4, 5,

(6,584 meters)

9.

8.

16

d) 1 and 7/8 or 15/8

c) 2/5

b) 4/10

a) i) 3/5

10.

18

b) Maggie’s Mart

a) 18 red, 9 blue, 6 green, 3 orange

12.

17

c) iv) 1/4

b) ii) 1/5

a) i) 10

11.

ii) 4

19

c) iii) 1/5

b) i) 8

iii) 2

a) Answers will vary. i.e. 9+7=16; 9-7=2

13.

20

f) i) 1/8

e) iii) 4/7

d) ii) 1/4

c) i) 77 days

b) i) 8/11

a) iv) 3/11

14.

EZ

Number and Operations CC3106

©

21

c) ii) $4.60

b) iii) $3.07

a) iii) 20

15.



22

d) iv) 15

c) iii) 56

b) i) 36

c) 4227

23

c) iii) 21034

24

e) ii) 464, 364

25

d) 10 for $5.29

v) 6

iv) 1

iii) 3

ix) 24 d) iv) 50

ii) 6

viii) 7 x) 17

c) i) 2

vii) 7

vi) 9

v) 4

v) 6

iii) 3

iii) 8

iv) 8

ii) 4

ii) 7 iv) 9

b) i) 3

26

e) 20 lb bag

d) iv) 6

v)