MATHEMATICALPRACTICES

Assignment Guide

Assign Guided Practice exercises as necessary.

If you finished Examples 1–4 Basic 17–26 Average 17–26 Advanced 17–26

If you finished Examples 1–6 Basic 17–35, 37–39, 43 Average 17–29, 34–44 Advanced 17–29, 34–44

Homework Quick CheckQuickly check key concepts.Exercises: 18, 20, 22, 24, 28, 29,

32

Answers 12. Support for candidate B generally

increased. Support for candidate A generally decreased.

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Reason abstractly and quantitatively. Exercises 40–42

Construct viable arguments and critique the reasoning of others. Exercises 7, 12, 16, 29, 34, 36, 44

Model with mathematics. Exercise 43

Attend to precision. Exercises 3, 8, 11, 17–18

ExercisesExercises14-1

Dog Cat Guineapig

Rabbit

Clublevel

Upperreserve

Boxseat

Bleacher

30

20

10

0

Movie Ticket Sales

Tick

ets

sold

(t

ho

usa

nd

s)

Weeks since release 1 2 3 4 5 6

GUIDED PRACTICEVocabulary Use the vocabulary from this lesson to answer the following questions.

1. In a circle graph, what does each sector represent?

2. In a line graph, how does the slope of a line segment relate to the rate of change?

SEE EXAMPLE 1 Use the bar graph for Exercises 3 and 4.

3. Estimate the total number of animals at the shelter.

4. There are 3 times as many ? as ? at the animal shelter.

SEE EXAMPLE 2 Use the double-bar graph for Exercises 5–7.

5. About how much more is a club level seat at stadium A than at stadium B?

6. Which type of seat is the closest in price at the two stadiums?

7. Describe one relationship between the ticket prices at stadium A and stadium B.

SEE EXAMPLE 3 Use the line graph for Exercises 8 and 9.

8. Estimate the number of tickets sold during the week of the greatest sales.

9. Which one-week period of time saw the greatest change in sales?

SEE EXAMPLE 4 Use the double-line graph for Exercises 10–12.

10. When was the support for the two candidates closest?

11. Estimate the difference in voter support for the two candidates five weeks before the election.

12. Describe the general trend(s) of voter support for the two candidates.

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ExercisesExercises14-1

between weeks 4 and 5

one part of a whole2. As the steep-ness of the line increases, the rate of change increases.

82 animals

cats; rabbits

$15

box seats

Prices at stadium A are greater than prices at stadium B.

34,000 tickets

1 week before the election

18%

14-1 Organizing and Displaying Data 375

14-1 Organizing and Displaying Data 375

Name ________________________________________ Date __________________ Class__________________

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H lt M D l Al b 1

Practice B Organizing and Describing Data

Look at the double bar graph. 1. Which was the first year that the

Barnes rented more DVDs than VHS tapes?

2005 2. About how many videos did the

Barnes family rent in all in 2003?

53

Look at the line graph. 3. During which time interval did the

car’s speed increase the least?

1 to 2 s 4. Describe how the speed changed

over time.

It always increased, but from 0–6 s, the speed increased by growing amounts.

Look at the circle graph. 5. There were 5 times the number of orders for

chocolate as there were for strawberry.

6. What percent of the orders for ice cream were for

mint chip or vanilla? 60%

7. The table shows the number of customers who pumped 4 types of fuel at a gas station in a given time period. Use the given data to make a graph. Explain why you chose that type of graph.

87 Octane

89 Octane

93 Octane Diesel

12 1 5 2

LESSON

10-x

4

LESSON

10-1

PRACTICE C

PRACTICE B

PRACTICE A

Name ________________________________________ Date __________________ Class__________________

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Holt McDougal Algebra 1

Review for Mastery Organizing and Describing Data

Use the data at right to make a graph. Explain why you chose that type of graph. Because the data compares categories (the ingredients) to a whole set (the recipe), a circle graph is best. Step 1: Total the number of cups. 8 1 1 10 20 Step 2: Calculate the percent of each ingredient.

bubble soap: 820

40% glycerin: 120

5%

dishwashing liquid: 1

205% water: 10

2050%

Step 3: Find the angle measure for each sector of the graph. bubble soap: 40% (360 ) 144 glycerin: 5% (360 ) 18 dishwashing liquid: 5% (360 ) 18 water: 50% (360 ) 180 Use a compass and protractor to draw the graph.

Write bar, double-bar, line, double-line, or circle to indicate the type of graph that would best display the data described. 1. math scores of one student over the school year line 2. attendance at an exercise class by age group, as it

relates to total attendance circle

3. number of animals seen at a farm bar 4. A store owner uses an entire wall to display toys as shown in the table.

Use the data to make a graph. Then explain why you chose that type of graph.

A circle graph is appropriate because it shows categories as part of a whole.

If data: Then use:

is organized into categories bar graph/double bar graph

changes over a period of time line graph/double line graph

compares categories to whole set circle graph

Toys for Sale Toy Shelves

games 10 puzzles 5

dolls 3 trains 2

Recipe for Bubbles Ingredient Cupsbubble soap 8 dishwashing liquid 1 glycerin 1 water 10

LESSON

10-x

6

LESSON

10-1 RETEACHName ________________________________________ Date __________________ Class__________________

Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

H lt M D l Al b 1

Reading Strategies Analyze Choices

Depending on the data, one kind of graph is usually more appropriate than another.

Complete the following.

1. There are five categories in the bar graph. List them. FL, HI, IN, PA, TX

2. Look at the line graph. When does Alice have more stamps than Mark? Fall 3. Add the hours in each sector of the circle graph. 24

Divide 1.5 by 24 to find the percent of the day spent on homework. 6.25%

Name the type of graph that would be best to display the data described.

4. the cost of two brands of cereal over time double line graph

5. the percent of a person’s budget spent on various things circle graph

6. the life expectancy of several species of reptile bar graph

7. the change in school enrollment from 2000 to 2005 line graph

Bar Graph Used for data that can be organized

into categories. Makes it easy to make comparisons.

A double bar graph can be used to compare two sets of data.

Line Graph Used for displaying data that changes

over a period of time. Makes it easy to see change. A double line graph is used to

compare two related sets of data that change over time.

Circle Graph Used for data that represents part of a

whole. Makes it easy to compare each

category to the whole set. The whole circle represents 100% and

each sector represents a percent of the total.

LESSON

10-x

10

LESSON

10-1 READING STRATEGIES

Social Studies Link Exercises 17 and 18 show populations of Native

American tribes. The Cherokee now live mostly in Oklahoma, while the Chippewa, also called Ojibwe or Ojibwa, live primarily in the Great Lakes area. Some Choctaw live in Mississippi and Alabama as well as in Oklahoma. The Navajo Nation is located on the borders of the states of Arizona, New Mexico, and Utah, and the Sioux tribes, also called Lakota, live mostly in the Dakotas.

Reading Math Tell stu-dents that the word overall in Exercise 19 indicates

a sum. Students will need to add the number of customers for lunch and dinner to answer the question. Although Saturday had the most din-ner customers, there were relatively few lunch customers.

Answers 16. Karim’s Budget

Entertainment, $25

Clothing, $35

Food, $25

Other, $15

Colors in Ball Playpen

Yellow24% Green

17%

Blue18%

Purple 10%

Red31%

Item/Activity Spending ($)

Clothing 35

Food 25

Entertainment 25

Other 15

SEE EXAMPLE 5 Use the circle graph for Exercises 13–15.

13. Which color is least represented in the ball playpen?

14. There are 500 balls in the playpen. How many are yellow?

15. Which two colors are approximately equally represented in the ball playpen?

SEE EXAMPLE 6 16. The table shows the breakdown of Karim’s monthly budget of $100. Use the given data to make a graph. Explain why you chose that type of graph.

PRACTICE AND PROBLEM SOLVING

For See Exercises Example

17–18 1 19–21 2 22–23 3 24–26 4 27–28 5 29 6

Independent Practice Use the bar graph for Exercises 17 and 18.

17. Estimate the difference in population between the tribes with the largest and the smallest population.

18. Approximately what percent of the total population shown in the table is Cherokee?

Use the double bar graph for Exercises 19–21.

19. On what day did Ray do the most overall business?

20. On what day did Ray have the busiest lunch?

21. On Sunday, about how many times as great was the number of dinner customers as the number of lunch customers?

Use the line graph for Exercises 22 and 23.

22. Between which two games did Marlon’s score increase the most?

23. Between which three games did Marlon’s score increase by about the same amount?

Online Extra Practice

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3.5 times

purple

120

blue and green

A circle graph compares how much of Karim’s total budget is spent in each category.

225,000

about 35%

Fri

Wed

games 1 and 2

games 3, 4, and 5

376 Module 14 Data Distributions

376 Module 14 Data Distributions