Algebra Room 424 Ms. Miller

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Please sign in next to your name on the sheet by the door.

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I am in my room from 12:00 - 12:30 for tutoring if you ever want extra help.

(PLEASE LET ME KNOW)

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The day’s lesson and the homework will be posted to my website by the end of each day.

www.mrsmillersmathtutoring.com

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Always feel free to email me with any questions or concerns.

jmiller1@camdencc.edu

Warm Up: You have 5 minutes to work on these problems. Then, we will go over them.

Flour

Data Analysis

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The term DATA describes a collection of facts. When the facts are numerical, you can use the mathematics to analyze and draw conclusions from the data.

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Data is easier to analyze when it is organized. A graph is a visual representation of data that organizes the information and provides a quick overview of the main points. In this unit, you’ll study several of the most commonly used types of graphs.

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Data can also be easier to analyze when it is summarized. Typical values represent what is normal, or average, in a set of data. You’ll learn three types of typical values and how to use them to draw conclusions.

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You can also use patterns in the data to draw conclusions. In this unit, you’ll learn to recognize patterns and make predictions based on those patterns.

Workbook page 16

Using Data Analysis

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You use data analysis when you:

• Read a table to find out how much medicine to give a child
• Analyze sports statistics to pick the winner of a game or event
• Interpret a graph in a magazine or newspaper
• Decide whether to believe the information in a sales pitch
• Read a bus or train schedule.

Workbook page 17

Workbook page 17

Working with Tables

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A table is often used to organize and display data, especially data that is classified by categories. A table may contain both words and numbers written in labeled rows and columns.

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A row is read from left to right. A column is read from top to bottom.

Think: Rows in a Theater and Columns on a Building.

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Use the row and column headings to locate specific data in a table.

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The title of the table may also have important information.

Workbook page 18

Finding Information in Tables

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Example: In 2000, the population in New York City was about how many times larger than the population of Houston?

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Example: In 2000, the population in New York City was about how many times larger than the population of Houston?

Workbook page 18

Locate the place where the column labeled “2000 Population” and the row labeled “New York, NY” intersect.

You can also use the data in a table to draw conclusions.

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For example, look at the column labeled “Percent Change.” Chicago was the only city with a decreasing population. You could conclude that from 2000 to 2010, the populations of the largest U.S. cities primarily increased.

Workbook page 18

Use the following table for problems 1 and 2.

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1. What is the difference in price between a portable speaker and a DVD player on Saturday?

2. Is the actual discount (in dollars) on an HD television greater than or less that the actual discount on a DVD player?

1. Find the sale price of each.
2. Find the difference.

1. Find what is saved on each.
2. Compare the savings.

Use the table for problems 3 – 6.

Workbook page 19

3. How much more yard waste did Logan County recycle in February than Carroll County?

4. During which month did Carroll County’s recycling decrease compared to the previous month?

Use the table for problems 3 – 6.

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5. During which month did Logan County’s recycling increase the most compared to the Previous month?

6. From January to April, which county’s recycling increased the most, and by how much?

Use the mileage chart for problems 7 and 8.

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7. How many miles will Armando travel if he flies from Mexico City to San Francisco and continues to New York?

8. Explain: Why are there four empty boxes on this chart?

HOMEWORK

Bar Graphs and Histograms

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Graphs give a visual picture of data. In a bar graph, data is represented by the height (Or length) of data bars. The bars may be drawn vertically or horizontally.

Workbook page 20

For the bar graph below, you can use the title (Cafeteria Orders at Newark High School) and axis labels to determine what values are being compared.

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The horizontal axis shows the type of meal ordered.

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The vertical axis shows the number of meals ordered during the week.

Finding Information on Bar Graphs

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Example: About how many orders of chicken finger meals were sold at Newark high School from 9/15 to 9/19?

Workbook page 20

Find the bar labeled Chicken Fingers. Read the value on the vertical axis closest to the height of the bar.

Use the bar graph above (from the example) for problems 1 and 2.

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2. About how many more orders were for pizza than for lasagna?

Use the double bar graph for problems 3 – 6.

Workbook page 20

3. About how much more did the petting zoo make in Year 2 than Year 1?

4. In which event did profits decrease from Year 1 to Year 2?

Use the double bar graph for problems 3 – 6.

Workbook page 20

5. In Year 1, about how much more money did the auction make than the food booths?

6. Which event’s profits increases the most from Year 1 to Year 2?

HOMEWORK

A histogram also uses data bars to visually show data. On a bar graph, the bars represent categories. On a histogram, the bars represent a range of numbers. You can use a histogram to draw conclusions about how frequently events occur.

Workbook page 21

Each bar on the histogram below represents an interval. For example, the first bar represents the number of cars sold with an estimated gas mileage of 5 to 9 miles per gallon.

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Use the vertical axis to read the value of the first bar.

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Two cars were sold with an estimated gas mileage between 5 and 9 miles per gallon.

All numbers between 100 and 149

All numbers between 150 and 199

All numbers between 200 and 249

Workbook page 21

Use the histogram above (from the example) for problems 7 and 8.

8. How many cars did Hugo’s Cars sell in April?

1. Add up each side.
2. Compare.

Workbook page 21

Use this histogram for problems 9 and 10.

HOMEWORK

Tonight’s homework:

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Page 19, numbers 7-8

Page 20, numbers 5-6

Page 21, numbers 9-10