Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California...
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Transcript of Use a Graph by Monica Yuskaitis 5 th Grade. Copyright © 2000 by Monica Yuskaitis California...
Use a Graph
by Monica Yuskaitis
5th Grade
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
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
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
Copyright © 2000 by Monica Yuskaitis
Objective
• To be able to solve problems using the “use a graph” strategy.
Copyright © 2000 by Monica Yuskaitis
Problem Solving is easy if you follow these steps
Understandthe
problem
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.
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
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
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
Copyright © 2000 by Monica Yuskaitis
Problem Solving is easy if you follow these steps
Decide howyou’re
going to solve theproblem
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.
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
Copyright © 2000 by Monica Yuskaitis
Problem Solving is easy if you follow these steps
Solve The
Problem
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
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
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
Copyright © 2000 by Monica Yuskaitis
Problem Solving is easy if you follow these steps
LookBack &Check
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
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!
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
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
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
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.
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.
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
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
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.
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.
Copyright © 2000 by Monica Yuskaitis
Credits Illustrations from:
• Clipart from ClickArt 125,000 Deluxe Image Pak, T/Maker Co., Broderbund Software, Inc.