Hook

x y 10 9 8 7 6 5 4 3 2 1 x y x y Remind the students that the x axis is horizontal and the y axis is vertical In an ordered pair, the first number is always x and the second number is always y Demonstrate the graphing of each point on the left. (they will appear one at a time)

It doesn’t matter which data goes on each axis. (3,4) is the same as (4,3) A common mistake is to plot the points wrong. Remember, the x-coordinate tells us how far to move left or right And the y-coordinate tells us how far to move up or down.

Name HW Done Test Grade John 5 70 Jose 9 88 Justice 10 100 Have you ever wondered if there was a relationship between homework completed and test grades? We can find out by taking a survey to see if these two things are related. Data that may be related are gathered in pairs.  This is called BIVARIATE data. For example, if you were going to examine the possible relationship between number of homework completed before a test and test grades, each person in the survey or sample would produce a pair of numbers, one for number of homework assignments completed and one for test grade. So let’s take a survey. We will ask a group of students who had 10 homework assignments leading up to a test how many assignments completed and what their test score was.

Test score Hours watching TV So we have collected our data, now what. We can create a scatter plot of the two variables involved to see if there is a relationship. A scatterplot is a graph of points on a coordinate grid with each axis representing one of the two variables.  We will plot the pairs of data as points on the graph. This produces a visual image of the data and will give us a hint concerning any possible relationships. We will be able to see the relation, but it won’t be perfect.

Test score Homework completed HW Done Test Grade 5 70 2 25 9 88 1 20 100 90 80 70 60 50 40 30 20 10 1 2 3 4 5 6 7 8 9 10 Test score HW Done Test Grade 5 70 2 25 9 88 1 20 10 100 45 8 85 6 65 7 68 67 Let’s make a scatter plot of all the data that we collected. We will let the x-axis represent the number of homework assignments completed out of 10 and the y axis will represent the test grade. We need to label our axis and determine our scale. The scale will be different depending on the type of data that we are collecting. Since the number of assignments completed ranges from 0 – 10, we will count by ones on the x-axis. Since our test grades can be as high as 100, we will count by 10’s on the y-axis. Now let’s plot our points. <As I plot the points I will talk about what each point represents..i.e. this student did 5 of their 10 assignments and made a 70 on their test etc…> Let’s look at the graph. What does the graph tell us? It tells us that “As the number of homework assignments completed increases, the test grades increase.

We have constructed a scatterplot by graphing data We have constructed a scatterplot by graphing data! We have looked at this data and we can make a generalization that yes we should be doing more homework if we want to get a higher grade on our tests!

2.0 1.8 1.6 1.4 1.2 1.0 0.8 0.6 0.4 0.2 Height (m) Arm Span (m) 1.5 1.4 1.8 1.7 2.0 1.9 2.1 1.6 This should produce a strong positive association

Fat Grams Calories 10 185 1 70 45 9 115 4 90 Dollars Spent Gas Bought (gallons) 10 3.3 4 1.8 15 4.7 7 2.3 12 3.8 This activity will help the student who needs more practice determining the scale for the x-axis and y-axis

This is designed for the student who has interpersonal learning style This is designed for the student who has interpersonal learning style. The student gets to interact with other students with a constructive purpose. The student will then take this real life data, construct a scatter plot and make a general statement about the relationship. Some possible topics could be: the number of hours you watched TV last night vs. your bed time The amount of time you studied for your last test and the test score The number of songs on your IPOD/MP3 player and the average amount of time that you listen to music daily The amount of time that you watch tv daily vs. the amount of time you listen to music daily

This activity is designed for your investigative students This activity is designed for your investigative students. They can find information in a newspaper (or online) and construct a scatterplot and draw a general conclusion about the data

Test score Hours watching TV 100 90 80 70 60 50 40 30 20 10 1 2 3 4 5 1 2 3 4 5 A scatterplot and multiple choice answers will need to be generated A set of data and multiple choice answers will need to be generated

4.6 3.6 3.1 2.2 1.5 Gas Bought (gallons) Dollars Spent $15 $12 $10 $7 $5 A scatterplot and multiple choice answers will need to be generated A set of data and multiple choice answers will need to be generated