Grade 08 Mathematics - EC: M08.D-S.1.1.1

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

Instructional activities designed to be integrated into planned lessons
Questions/activities that grow in complexity
Opportunities for differentiation for each student’s level of performance

Grade Levels

8th Grade

Course, Subject

Mathematics

Related Academic Standards / Eligible Content

M08.D-S.1.1.1 M08.D-S.1.1.1

Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative correlation, linear association, and nonlinear association.

Activities

Identify the correlation that would be expected for each of the following data sets as positive, negative, or no correlation:
1. The size of the bag of popcorn and the price of the popcorn.
2. The increase in temperature and the number of boots sold.
3. A person’s shoe size and the number of pets they have.
4. Hours spent watching TV and test grades.

Define positive correlation in regards to scatterplots and give a real life example.

Sophia and some of her friends rode their motorcycles all day on Saturday. She made a graph that showed the number of gallons of gas remaining at the end of each hour. Describe the correlation.

Interpret the scatter plot of the data for the amount of memory in a cell phone and the cost.

Construct a scatterplot for the following fruits and vegetables and describe any patterns you may see: things such as clustering, outliers, correlation and/or linear vs. nonlinear association.

Answer Key/Rubric

Answers as follows:
1. Positive correlation
2. Negative correlation
3. No correlation
4. Negative correlation

Positive correlation is when the values increase together.
Possible examples may include, but are not limited to:

As the number of hours you work increases, your pay increases
The more time you spend running on a treadmill, the more calories you burn.
The more gas you put in a car, the farther it can go.

Acceptable answers may include, but are not limited to:

Negative correlation
Linear association
As the time increased the amount of gallons of gas they had left decreased

Acceptable answers may include, but are not limited to:

Positive correlation
Linear association
As the amount of gigabytes increases so does the cost of the cell phone

Scatterplot should be similar to:

Acceptable responses may include, but are not limited to:

Positive correlation
The corn is an outlier because it is away from the rest of the data
Linear association
As the amount of fat grams increases, the amount of calories increases