INTEGRATED MATH NAME _______________________________QTR 1PATTERNS IN DATA: LESSONS 1, 2 AND 3 DATE THURS SEPTEMBER 4th

HOUR _______

UNIT 1 PATTERNS IN DATA

OBJECTIVES

LESSON 1 EXPLORING DATA

To use various graphical displays of data to uncover important patterns in the data set and interpret these patterns in the real-world context

To summarize and interpret sets of data using measures of center and variability To compare sets of data using various plots/graphs and to interpret these comparisons for the

real-world contexts that gave rise to the data

LESSON 2 SHAPES AND CENTERS

To organize and interpret distributions of data using graphical displays such as stem-and-leaf plots, number line plots, and histograms

To understand the properties of different measures of center To use graphing calculators or computers for creating histograms and finding the measures of

center

LESSON 3 VARIABILITY

To compare data sets in terms of variability and the context of the situation To understand how different measures of variability is in reference to different measures of

center To compare sets of data using various plots/graphs and to interpret these comparisons for the

real-world contexts that gave rise to the data

UNIT 1 PATTERNS IN DATA

VOCABULARY

VOCABULARY – There is a lot of new vocabulary associated with the study of data. These words will be included on quizzes (you may use this packet on the quizzes to help you). As you cover new terminology in class, record information that will help you remember what it means. Definitions, pictures, and examples are all things that should be included when first learning new words. To say that you already know it will not suffice as an answer.

LESSON 1 EXPLORING DATA

STEM-AND-LEAF PLOTS

LESSON 2 SHAPES AND CENTERS

DISTRIBUTION

NUMBER LINE PLOT

OUTLIERS

SYMMETRIC

HISTOGRAMS

HORIZONTAL AXIS OF A HISTOGRAM

VERTICAL AXIS OF A HISTOGRAM

WHERE DO YOU COUNT THE SCORE ON THE EDGE OF A BAR?

APPROXIMATELY NORMAL DISTRIBUTION

DISTRIBUTIONS SKEWED TO THE RIGHT

DISTRIBUTIONS SKEWED TO THE LEFT

MEASURES OF CENTER

MEDIAN

MODE

MEAN

RESISTANT TO OUTLIERS (INCLUDE THE CONTEXT IT IS USED IN)

UNIT 1 PATTERNS IN DATA

TATS & CHECKPOINTS

LESSON 1 EXPLORING DATA THINK ABOUT THIS SITUATION

Use complete sentences here!

a) Examine the data on movie attendance.

How could theater owners use this information?

How could movie makers use these data?

How could you use this information?

b) How do you think a T-shirt manufacturer decides how big to make a size “large” T-shirt?

LESSON 1 INVESTIGATION 1 COLLECTING AND ANALYZING DATA CHECKPOINT

Use complete sentences here!

a) What kind of relationships did you look for in the data from the three projects?

b) What pitfalls are possible when you generalize results from a small sample of people, such as your group, to a larger population, such as your class?

c) How well did your group cooperate in completing these projects? Write one comment about each group member in the following form:

We appreciate it when …..

LESSON 1 INVESTIGATION 2 DESCRIBING PATTERNS IN DATA CHECKPOINT #1

Use complete sentences here!

a) What are the important features of a good response when you are asked to describe something?

b) What are the important features of a good response when you are asked to explain your reasoning?

c) What are the important features of a good response when you are asked to compare two or more things?

LESSON 1 INVESTIGATION 2 DESCRIBING PATTERNS IN DATA CHECKPOINT #2

Use complete sentences here!

a) Compare the information shown in the table and the bar graph. In what ways is the graph better than the table for displaying the data on average monthly earnings? In what ways is it worse?

b) How could your analysis of these data be used to plan for your own future?

c) How has your group work improved since the first day of class? How could you further improve you group work next time?

LESSON 2 SHAPES AND CENTERS THINK ABOUT THIS SITUATION

Use complete sentences here!

Suppose your family wants to buy a used 1993 car that originally sold for between $15,000 and $20,000.

a) According to the article, which car did the American Automobile Association (AAA) think was best? Do you think there are any important characteristics that they have omitted?

b) There is so much information in the table above that it is difficult to see which car might be best. Discuss with your class how you could organize or summarize this information to make it more useful in deciding which car to buy.

c) Based on the rating table, do you agree with the conclusions drawn by AAA and reported in the article? Why or why not?

LESSON 2 INVESTIGATION 1 SHAPES OF DISTRIBUTIONS CHECKPOINT

Use complete sentences here!

a) When would you prefer to make a histogram rather than a number line plot?

b) Make a sketch of what you think the histogram of the ages of all women married last year in the U.S. might look like. Describe this distribution.

c) How might the histogram of the ages of all men married last year in the U.S. compare to that of the women?

LESSON 2 INVESTIGATION 2 PRODUCING PLOTS WITH TECHNOLOGY CHECKPOINT

Use complete sentences here!

a) What does the shape of a distribution tell you about the data?

b) If you are producing a histogram with your calculator or computer, how will you decide on the best choice of width for the bars?

c) How will you decide on a reasonable value for the maximum y value?

LESSON 2 INVESTIGATION 3 MEASURES OF CENTER THINK ABOUT THIS SITUATION

Use complete sentences here! Use the article “Adolescents At Risk.”

a) The article says that adolescents “devote 5.6 hours weekly to homework.” What exactly do they mean by this?

b) Do you believe the report accurately reflects adolescent behavior?

c) How could information like this be collected? What information seems almost impossible to get?

LESSON 2 INVESTIGATION 3 MEASURES OF CENTER FIRST CHECKPOINT

Use complete sentences here!

a) Compare a stem-and-leaf plot to a histogram. How are they alike and how are they different?

b) How does a back-to-back stem-and-leaf plot help you compare two distributions?

c) Describe three methods of estimating a typical or representative value for a distribution.

LESSON 2 INVESTIGATION 3 MEASURES OF CENTER SECOND CHECKPOINT

Use complete sentences here!

a) What are the advantages and disadvantages of each measure of center for summarizing a set of data?

b) Describe how to find or estimate the mean, median, and mode from a histogram.