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Mathematics Grade 5 TEACHER KEY
W2 - Lesson 2: Collecting Data and Analyzing Patterns
V5-07
ALL RIGHTS RESERVED
Copyright © 2007, by Alberta Distance Learning Centre, 4601-63 Avenue, Barrhead, Alberta, Canada, T7N 1P4. Additional copies may be obtained from Alberta Distance Learning Centre.
No part of this courseware may be reproduced or transmitted in any form, electronic or mechanical, including photocopying (unless otherwise indicated), recording, or any information storage and retrieval system, without the written permission of Alberta Distance Learning Centre.
Every effort has been made both to provide proper acknowledgement of the original source and to comply with copyright law. If cases are identifi ed where this effort has been unsuccessful, please notify Alberta Distance Learning Centre so that appropriate corrective action can be taken.
IT IS STRICTLY PROHIBITED TO COPY ANY PART OF THESE MATERIALS UNDER THE TERMS OF A LICENCE FROM A COLLECTIVE OR A LICENSING BODY.
Mathematics Grade 5Version 5Preview/Review W2 - Lesson 2 TEACHER KEY
Publisher: Alberta Distance Learning CentreAuthor: Leslie FriesenIn-House Teacher: Sue Rees
Project Coordinator: Dennis McCarthyPreview/Review Publishing Coordinating Team: Nina Johnson, Laura Renkema, and Donna Silgard
Alberta Distance Learning Centre has an Internet site that you may fi nd useful. The address is as follows: http://www.adlc.ca
The use of the Internet is optional. Exploring the electronic information superhighway can be educational and entertaining. However, be aware that these computer networks are not censored. Students may unintentionally or purposely fi nd articles on the Internet that may be offensive or inappropriate. As well, the sources of information are not always cited and the content may not be accurate. Therefore, students may wish to confi rm facts with a second source.
W1 - Lesson 1 ...................Number Sense Numbers 0 to 100 000W1 - Lesson 2 ................................... Exploring Proper FractionsW1 - Lesson 3 ................................................ Exploring DecimalsW1 - Lesson 4 .................Numbers With Up to 2 Decimal PlacesW1 - Lesson 5 ......................................................... MultiplicationW1 - QuizW2 - Lesson 1 ...................................................................DivisionW2 - Lesson 2 .............. Collecting Data and Analyzing PatternsW2 - Lesson 3 .................Estimating and Taking MeasurementsW2 - Lesson 4 ...................... Perimeter and Area MeasurementsW2 - Lesson 5 ............................................ Metric MeasurementsW2 - QuizW3 - Lesson 1 ........................ Volume, Capacity, Mass, and TimeW3 - Lesson 2 .................................. 2-D Shapes and 3-D ObjectsW3 - Lesson 3 .....................................................TransformationsW3 - Lesson 4 ...................................... Statistics and ProbabilityW3 - Lesson 5 ..........................................Chance and ProbabilityW3 - Quiz
Materials RequiredImportant Concepts of Grade 5 Mathematics
DistanceLearning
Centre
AlbertaLEARNING
AN
YT
IME A N Y W
HE
RE
ProtractorRulerCalculator
A textbook is not needed.
This is a stand-alone course.
W2 - Lesson 2:Collecting Data andAnalyzing Patterns
Preview/Review Conceptsfor
Grade Five Mathematics
TEACHER KEY
OBJECTIVES
By the end of this lesson, you should
� find patterns in charts or graphs
� construct charts and graphs to display data
Developed by Alberta Distance Learning Centre ................................................................................................................... 1
Preview/Review Concepts W2 - Lesson 2 Mathematics Grade 5 - TEACHER KEY
Glossary of Terms
Chart/Graph: These are pictures of information. Charts andgraphs use data to display information. Theinformation can be displayed in a way that givesmore meaning to the information. It makes theinformation easier to read; or it highlights data.The type of chart or graph used is dependent onthe purpose for the chart or graph.
This lesson uses only the following charts andgraphs.
STRAHCELPMIS
noitamrofnI 2
noitamrofnI 2
noitamrofnI 2
noitamrofnI 3
noitamrofnI 4
noitamrofnI 5
noitamrofnI 6x-axis
y-ax
is
810
6420
0 1 2 3 4 5 6
Simple Graph
Series 1Series 2
Preview/Review Concepts W2 - Lesson 2Mathematics Grade 5 - TEACHER KEY
..................................................................................................................... Developed by Alberta Distance Learning Centre2
Data: Data is the information used for analysis in agraph or chart.
STRAHCELPMIS
noitamrofnI 2
noitamrofnI 2
noitamrofnI 2
noitamrofnI 3
noitamrofnI 4
noitamrofnI 5
noitamrofnI 6
Developed by Alberta Distance Learning Centre ................................................................................................................... 3
Preview/Review Concepts W2 - Lesson 2 Mathematics Grade 5 - TEACHER KEY
• Customers can see easily howmuch they have saved.
• Charts help us to recognizepatterns in the information.What patterns can you identify?In this situation, you save $1
for every $10 you spend.
When you spend ...
$1.00
$2.00
$3.00
$4.00
$5.00
$6.00
$7.00
$10.00
$20.00
$30.00
$40.00
$50.00
$60.00
$70.00
you save
W2 - Lesson 2: Collecting Data and Analyzing Patterns
Concepts:
• Finding Patterns• Predicting Future Data from Charts and Graphs• Constructing Charts and Graphs
Finding Patterns
When information is organized into a chart or graph, the information iseasier to read and to interpret. The following chart was posted in a store toadvertise a savings plan.
Preview/Review Concepts W2 - Lesson 2Mathematics Grade 5 - TEACHER KEY
..................................................................................................................... Developed by Alberta Distance Learning Centre4
What is the pattern in each question below?
yaD erutarepmeThgiH
yadnoM C°12
yadseuT C°02
yadsendeW C°12
yadsruhT C°02
yadirF C°12
SENILDNASEPAHS
sediSforebmuNforebmuN
slanogaiD
3 0
4 2
5 5
6 9
7 41
Pattern Seen In Numbers
Pattern Seen In Numbers
The number of diagonallines that can be drawninside each object seems tohave no pattern.
The temperature changes bya degree each day.
Developed by Alberta Distance Learning Centre ................................................................................................................... 5
Preview/Review Concepts W2 - Lesson 2 Mathematics Grade 5 - TEACHER KEY
Predicting Future Data from Charts and Graphs
Predicting the next number on a chart or graph involves two steps.
Step 1: Identify the pattern.
Step 2: Apply the pattern to the next number on the chart or graph.
Step 1: 2, 4, 6, 8All the input numbers increase by 2.
9, 11, 13, 15All the output numbers increase by 2.
Therefore, the pattern is as the input increasesby two, the output also increases by two.
Step 2: Add 8 2 10+ =
Add 15 2 17+ =
Therefore, the answer is input 10 and output17.
tuptuO/tupnI
2 9
4 11
6 31
8 51
? ?(for the next input number)
(for the next output number)
Preview/Review Concepts W2 - Lesson 2Mathematics Grade 5 - TEACHER KEY
..................................................................................................................... Developed by Alberta Distance Learning Centre6
emiT forebmuNelpoeP
00:9 A.M. 01
00:11 A.M. 02
00:21 A.M. 04
00:2 A.M. 08
00:4 A.M. 061
x-axis
y-ax
is
876543210
0 1 2 3 4 5 6 7 8 9 10 11
Line Graph
x-axis
8101214
6420
0 1 2 3 4 5
Line Graph
Complete each of the graphs and charts by following the patterns.
• Draw the dots and lines needed in the graphs
• Provide the missing numbers in the charts.
a. b.
c.
d.
nhoJ 00.01$ 00.21$ 00.51$ 00.91$ 00.42$ 00.03$
yraM 00.61$ 00.71$ 00.81$ 00.91$ 00.02$ 00.12$
Developed by Alberta Distance Learning Centre ................................................................................................................... 7
Preview/Review Concepts W2 - Lesson 2 Mathematics Grade 5 - TEACHER KEY
From the graph it seemsthat it will be warmer,
but weather is basicallyunpredictable.
.1 ,C°31sawyadseuT,C°51sawyadnoM.dnertrehtaewehttciderPyadirFknihtuoyoD.C°71sawyadsruhTdna,C°61sawyadsendeW
?yadsruhTnahtreloocroremraweblliw
.2 ,mc4sawretemirepehtnehW.retemirepehtnevignehwaeraehtdniF9aera,mc21retemirep;²mc4aera,mc8retemirep;²mc1sawaeraeht
retemirepehtfiebaeraehtlliwtahW.²mc61aera,61retemirep;²mc?mc02si
It is impossible to predictthe weather with thislevel of accuracy.
If the perimeter is 20 cm,then the area will be 25 cm2
Constructing Charts and Graphs
Step 1: Look at your data. What do you want your data to show?
Step 2: Choose a chart or graph. What chart/graph will display yourdata well?
Step 3: Complete the graph by using your data.
Perimeter Area
12
16
20
2
2
2
2
4 cm 1 cm
8 cm 4 cm
cm 9 cm
cm 16 cm
cm 225 cm
Hint:Perimeter is the distan
ce aroun
d
the shape.
Area is the
amount of
surface a
figure
covers.
Preview/Review Concepts W2 - Lesson 2Mathematics Grade 5 - TEACHER KEY
..................................................................................................................... Developed by Alberta Distance Learning Centre8
The tree will grow 80cm in the fifth year ifthe growth continuesto double each year.
.3 mc01,raeytsrifstimc5sworgeertehtfI.eertafohtworgehttciderPehtlliwsertemitnecynamwoH.raeydrihtstimc02,raeydnocessti
?raeyhtfifstiworgeert
.4 forebmunehttciderP.sdnoces01yrevesgniws6sekammuludnepA54dna,sdnoces04,sdnoces03niedamsahmuludnepasgniws
.sdnoces
The pendulum will make 18swings after 30 seconds, 24swings after 40 seconds, and27 swings after 45 seconds,based on a rate of 6 swingsevery 10 seconds.
Seconds Swings
10 620 1230 1840 2445 2750 30
Year Tree Growth
1st 5 cm2nd 10 cm3rd 20 cm4th 40 cm5th 80 cm
Developed by Alberta Distance Learning Centre ................................................................................................................... 9
Preview/Review Concepts W2 - Lesson 2 Mathematics Grade 5 - TEACHER KEY
.5 rehtonaevasotelbaerauoydna,00.08$evahydaerlauoyesoppuS.00.001$evasotekatlliwuoygnolwohtciderP.keewa00.5$
.6 00.01$etubirtnoclliwrosnopsreH.nohtaklawanideretnesiadnamAehslliwyenomhcumwoH.sklawehsertemolikyreverof00.2$sulp
.sertemolik8sklawehsfiekam
I will take another 4weeks to save $100.00 ifI start with $80.00 andsave an additional$5.00 per week.
She will make $26.00 ifshe walks 8 km.
Week Total Money
Km Total Contributions
0 $80.00 1 $85.00 2 $90.00 3 $95.00 4 $100.00
0 $10.00 1 $12.00 2 $14.00 3 $16.00 4 $18.00 5 $20.00 6 $22.00 7 $24.00 8 $26.00