Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California...

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Use a Graph by Monica Yuskaitis 5 th Grade

Transcript of Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California...

Page 1: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Use a Graph

by Monica Yuskaitis

5th Grade

Page 2: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

California Standard Addressed

1.2 Organize and display single 1.2 Organize and display single variable data in appropriatevariable data in appropriate

graphs and representations…graphs and representations…

StatisticsStatistics

DataDataFifthFifth

GradeGrade

Page 3: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

California Standard Addressed

1.1 Analyze problems by identifying1.1 Analyze problems by identifyingrelationships, distinguishing relevantrelationships, distinguishing relevant

from irrelevant information &from irrelevant information &……observing patterns.observing patterns.

MathMath

ReasoningReasoningFifthFifth

GradeGrade

Page 4: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

California Standard Addressed

2.3 Use a variety of methods, such2.3 Use a variety of methods, suchas…symbols, charts, and graphs toas…symbols, charts, and graphs toexplain mathematical reasoning.explain mathematical reasoning.

MathMath

ReasoningReasoningFifthFifth

GradeGrade

Page 5: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Objective

• To be able to solve problems using the “use a graph” strategy.

Page 6: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Problem Solving is easy if you follow these steps

Understandthe

problem

Page 7: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Step 1 – Understand the problem

• Read the problem carefully.

• Find the important information.

• Identify what the problem wants you to solve.

Page 8: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Step 1 - Understand the Problem

• A sports store kept a record of the baseball gloves they sold in one week. How many baseball gloves were sold that cost $50 or more?

Read the problem carefully.

0

2

4

6

8

10

12

$20 $30 $40 $50 $60 $70

Price of Gloves

Baseball Gloves Sold

Num

ber

Sol

d

Page 9: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Step 1 - Understand the Problem

• A sports store kept a record of the baseball gloves they sold in one week. How many baseball gloves were sold that cost $50 or more?

Find the Important Information.

0

2

4

6

8

10

12

$20 $30 $40 $50 $60 $70

Price of Gloves

Baseball Gloves Sold

Num

ber

Sol

d

Page 10: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

• A sports store kept a record of the baseball gloves they sold in one week. How many baseball gloves were sold that cost $50 or more?

What does the problem want you

to solve?

0

2

4

6

8

10

12

$20 $30 $40 $50 $60 $70

Price of Gloves

Baseball Gloves Sold

Num

ber

Sol

d

Page 11: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Problem Solving is easy if you follow these steps

Decide howyou’re

going to solve theproblem

Page 12: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Step 2 - Decide how you’re going to solve the problem

Use a graph Use formulas

Write an equation Make a list

Find a pattern Work backwards

Use reasoning Draw a picture

Make a table Act it out

Choose a method.

Page 13: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Study the labels on the graph.

0

2

4

6

8

10

12

$20 $30 $40 $50 $60 $70

Price of Gloves

Baseball Gloves Sold

Num

ber

Sol

d

Page 14: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Problem Solving is easy if you follow these steps

Solve The

Problem

Page 15: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Find the prices $50 and above.

0

2

4

6

8

10

12

$20 $30 $40 $50 $60 $70

Price of Gloves

Baseball Gloves Sold

Num

ber

Sol

d

Page 16: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Find how many of these were sold.

0

2

4

6

8

10

12

$20 $30 $40 $50 $60 $70

Price of Gloves

Baseball Gloves Sold

Num

ber

Sol

d

Page 17: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Add these numbers up.

0

2

4

6

8

10

12

$20 $30 $40 $50 $60 $70

Price of Gloves

Baseball Gloves SoldN

umbe

r S

old12

8+ 6

6

1

2

Page 18: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Problem Solving is easy if you follow these steps

LookBack &Check

Page 19: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Step 4 – Look Back and Check

• A sports store kept a record of the baseball gloves they sold in one week. How many baseball gloves were sold that cost $50 or more?

Reread the Problem.

0

2

4

6

8

10

12

$20 $30 $40 $50 $60 $70

Price of Gloves

Baseball Gloves Sold

Num

ber

Sol

d

Page 20: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Step 1 - Understand the Problem

• A sports store kept a record of the baseball gloves they sold in one week. How many baseball gloves were sold that cost $50 or more?

Did you answer the question?

0

2

4

6

8

10

12

$20 $30 $40 $50 $60 $70

Price of Gloves

Baseball Gloves Sold

Num

ber

Sol

d

128

+ 66

1

2

Yes!

Page 21: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

How do you read a graph when the bar doesn’t reach the next line?Populations of Small California Cities

9,000

10,000

11,000

Oakdale Salida Ripon Sonora

12,000

Page 22: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Let’s start by reading Oakdale’s Population

Populations of Small California Cities

9,000

10,000

11,000

Oakdale Salida Ripon Sonora

12,000

Page 23: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

First, find the two numbers that the bar falls between.

Populations of Small California Cities

9,000

10,000

11,000

Oakdale Salida Ripon Sonora

12,000

Page 24: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Second, notice what fraction of the space the bar goes up to.

Populations of Small California Cities

9,000

10,000

11,000

Oakdale Salida Ripon Sonora

12,000 About one half(1/2) of the way.

Page 25: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Third, now ask what is half way between 11,000 and 12,000.Populations of Small California Cities

9,000

10,000

11,000

Oakdale Salida Ripon Sonora

12,000About half way.

11,500This is your

Answer.

Page 26: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Now let’s find out the population of Salida?

Populations of Small California Cities

9,000

10,000

11,000

Oakdale Salida Ripon Sonora

12,000

Page 27: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

First, find the two numbers that the bar falls between?

Populations of Small California Cities

9,000

10,000

11,000

Oakdale Salida Ripon Sonora

12,000

Page 28: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Second, notice what fraction of the space the bar goes up to.

Populations of Small California Cities

9,000

10,000

11,000

Oakdale Salida Ripon Sonora

12,000

About one quarter (1/4)of the way.

Page 29: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Populations of Small California Cities

9,000

10,000

11,000

Oakdale Salida Ripon Sonora

12,000

About one quarter (1/4)of the way.

Third, now ask what is one quarter of the way between 10,000 and 11,000.

10,250This is your

Answer.

Page 30: Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California Standard Addressed 1.2 Organize and display single variable.

Copyright © 2000 by Monica Yuskaitis

Credits Illustrations from:

• Clipart from ClickArt 125,000 Deluxe Image Pak, T/Maker Co., Broderbund Software, Inc.