##
* *Reflection: Discourse and Questioning
100 Students Project: What do we want to know about our students? - Section 2: What makes a question a statistical question?

When I taught this lesson the Learn Zillion video was being revised and not available on the website. Instead, I used a version of the video that was posted on youtube: https://www.youtube.com/watch?v=H10rwoozHTk

At 2:50 in the video there is a graph that displays data from a question, “What is your favorite sport on TV?” The problem with the graph is that they sum of the percentages is more than 100%. I used this as an opportunity to pause the video and ask students, “What do you notice about this graph?” Students participated in a **Think Pair Share**. Students were able to notice that since the x-axis said “percentage of viewers” it didn’t make sense that the sum of the bar graphs exceeded 100%. Students engaged in **MP1: Construct viable arguments and critique the reasoning of others**.

*Analzying a Graph in the Video*

*Discourse and Questioning: Analzying a Graph in the Video*

# 100 Students Project: What do we want to know about our students?

Lesson 2 of 22

## Objective: I will be able to: • Define and identify statistical and non-statistical questions. • Define variability in my own words. • Write 3 statistical questions that my group thinks should be part of the survey. • Write at least 3 procedures about how the survey should be given.

## Big Idea: What makes a question a statistical question? Students learn about statistical and non-statistical questions and then use that knowledge to brainstorm survey questions for their classmates. Students also start to think about what specific procedures they

*60 minutes*

#### Do Now

*5 min*

Part of my class routine is a do now at the beginning of every class. Students walk into class and pick up the packet for the day. They get to work quickly on the problems. Often, I create do nows that have problems that connect to the task that students will be working on that day. For this do now, I want students to review the steps of working with statistics.

*expand content*

After the Do Now, I have a student read the objectives for the day. I tell students we will be working on understanding different types of questions as well as brainstorming questions we want to ask students. In the next lesson they will revise the questions that they brainstorm today.

Video: http://learnzillion.com/lessons/540-recognizing-statistical-questions

I pause the Learn Zillion movie so that students can record their notes and answer questions. I have students work on page 3 independently and then share out their thinking.

I want students to take away that a statistical question is interesting, has a specific population in mind and allows for variability in responses. All of our survey questions will be focused on the student population of the school. There also may be questions that only have two answer choices that students may decide are important enough to include on the survey. One way to create more variability is to create a range of answer choices. This will be addressed in the next lesson, Revising Questions & Planning the Survey. I want students to understand that the problem with a question that has *too *much variability is that you are not able to interpret the answers in a meaningful way. If you ask students what their favorite hobby is, there will probably be so many different responses that it will be difficult to summarize and communicate them in an efficient way.

*expand content*

A volunteer re-reads the goals of the project. Students take a few minutes to brainstorm what type of questions they should ask. I remind students that they will need to be able to collect and analyze the data efficiently. Students will most likely come to the conclusion that they need to create multiple choice questions or yes-no questions. I also push students to think about a few insightful and significant questions. These are questions that dig deeper than other questions. A couple examples are, “Do you judge others by their appearance?” and “Do you plan to go to college?”

Before students begin working on page 5, I split them into groups of 3-4. For this activity I allow students to choose their own groups. Students move their desks into groups and then I give them 30 seconds to find a seat with other students. Then students will spend 3 minutes brainstorming questions independently. The next 7-10 minutes is used for students to discuss questions as a group and brainstorm at least 3 statistical questions that they would want to ask students.

During this time I am walking around and monitoring student progress. If students are struggling to determine whether they have a statistical question, I’ll refer them to the summary on page 2.

Here are some other questions I may ask groups:

- Why is this question a statistical question?
- Does this question allow for variability in responses? Why or why not?
- What insightful/significant questions has the group thought of? Why are these important to your group?

At the end of the 7-10 minutes I will tell students that each group is going to nominate one question for the survey. I give groups 2 minutes to debate and decide on one question. Each group has one member share their question and I record them under the document camera. I ask students to discuss the merits of each question and share out their opinions. After a few minutes I ask students to vote for the question they want on the survey – I want to narrow it down to 5 questions for each section. There are four sections of 6^{th} grade math at my school, so we will have a 20 question survey.

*expand content*

#### Closure

*10 min*

See the video **100 Students Concept Map**. Also I will spend the last few minutes giving students the opportunity to record their questions on post-its and put them on the 100 Students **Project Parking Lot** Poster. See the video in my strategy folder for more details.

*expand content*

##### Similar Lessons

###### Statistical Questioning

*Favorites(12)*

*Resources(18)*

Environment: Urban

###### Statistically Speaking....

*Favorites(35)*

*Resources(15)*

Environment: Suburban

- UNIT 1: Intro to 6th Grade Math & Number Characteristics
- UNIT 2: The College Project - Working with Decimals
- UNIT 3: Integers and Rational Numbers
- UNIT 4: Fraction Operations
- UNIT 5: Proportional Reasoning: Ratios and Rates
- UNIT 6: Expressions, Equations, & Inequalities
- UNIT 7: Geometry
- UNIT 8: Geometry
- UNIT 9: Statistics
- UNIT 10: Review Unit

- LESSON 1: 100 Students Project: What If The World Were 100 People?
- LESSON 2: 100 Students Project: What do we want to know about our students?
- LESSON 3: 100 Students Project: Revising Questions & Planning the Survey
- LESSON 4: 100 Students Project: Conducting the Survey
- LESSON 5: 100 Students Project: Tallying Data and Brainstorming about Presentations
- LESSON 6: 100 Students Project: Analyzing Survey Results
- LESSON 7: 100 Students Project: Presenting Your Findings
- LESSON 8: 100 Students Project: Project Reflection
- LESSON 9: Median, Mode, and Range
- LESSON 10: Mean
- LESSON 11: Playing with Measures of Central Tendency
- LESSON 12: Choosing the Best Measure of Center
- LESSON 13: Show what you know
- LESSON 14: Introduction to Box Plots
- LESSON 15: Box Plots and Interquartile Range
- LESSON 16: Arm Span Day 1
- LESSON 17: Arm Span Day 2
- LESSON 18: Mean Absolute Deviation
- LESSON 19: Comparing Mean Absolute Deviation
- LESSON 20: Selecting Measures of Center and Variability
- LESSON 21: Statistics Jeopardy
- LESSON 22: Unit Test