w2 - lesson 2: collecting data and analyzing patterns...preview/review concepts w2 - lesson 2...

Mathematics Grade 5 TEACHER KEY

W2 - Lesson 2: Collecting Data and Analyzing Patterns

V5-07

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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



• 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.



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.



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)



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$



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.



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



.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

w2 - lesson 2: collecting data and analyzing patterns...preview/review concepts w2 - lesson 2...

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