Grade 08 Mathematics - EC: M08.D-S.1.2.1

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.1.2.1 M08.D-S.1.2.1

Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible associations between the two variables. Example: Given data on whether students have a curfew on school nights and whether they have assigned chores at home, is there evidence that those who have a curfew also tend to have chores?

Activities

Use the table below showing the results of a survey of high school students regarding sports and playing an instrument to answer the questions.

How many total students were surveyed?
What does the 21 represent in the table?

Complete the two-way table below:

Calculate the relative frequency by row for the table below:

A group of middle school students were asked which sport they play during the summer. The results are displayed in the Venn diagram below. Use the Venn diagram to construct a two-way table.

Javier was curious whether students in middle school and high school preferred the same type of phone. He surveyed 100 students and found the following:

27 of the 50 middle school students preferred iPhones to Android phones.
24 of the 50 high school students preferred Android phones over iPhones.
1. Use the information Javier found to construct a two-way table and calculate the relative frequency by column (to the nearest hundredth).
2. According to the data, would you say that middle school students and high school students have similar or different preferences? Explain

Markita wanted to know if there was an association between the number of people that purchased popcorn for a movie and those that purchased a drink. She observed 120 people walking into the movies and recorded her results. Use her results below to construct a two-way table including the relative frequencies (to nearest hundredth). Use the table to draw a conclusion.

Out of 98 people with popcorn, 19 did not have a drink.
11 people walked in without popcorn or a drink

Answer Key/Rubric

Answers as follows:
1. 116 students
2. Twenty-one is the number of students that play an instrument and a sport.

Table should be filled in as follows:

Acceptable responses may include, but are not limited to:
2. The students have pretty similar preferences as seen by the relative frequencies calculated being so close.

Acceptable responses may include, but are not limited to:

Two-way Table:

Conclusions:
- Those who purchased popcorn were more likely to purchase a drink with it.
- More people were likely to purchase a drink than go without.
- Those who did not purchase popcorn were equally likely to get a drink or go without.