6.DS.1 Group 2 · Challenge

Practice Set · Part 1

Understand Statistical Questions

Pick up where we left off

Name: Date: Group:

Where we left off

Our goal: I can tell the difference between a statistical question and a non-statistical question, explain how I can tell, and judge a case I have not seen before.

The big idea: If you expect the answers to vary, it is a statistical question — and you can say why it is true, and where it would stop being true.

Model to copy — Watch me

  1. Question 1: "How many points did our top player score last night?" There is one player and one game, so there is one fixed answer, like 18 points.
  2. One answer, no variety, so this is NOT a statistical question.
  3. Question 2: "How many points does each player score per game?" The answers vary: 8, 12, 12, 15, 18, 20, 22.
  4. Because the answers are different for different players, I must collect data. This IS a statistical question.

Start here

You did these with your group. Now do them on your own — the model above is yours to copy.

  1. 1

    Same stepsFinish what the group started. Use the model above, step for step.

    Try it together — then prove it: New question: "How many pets does each student in our class have?" Will every student give the same answer, or different answers? Some students have 0 pets and others have 2 or 3, so the answers vary. Is this statistical or not statistical? Now a different question: "How many days are in one week?" Does this have one fixed answer or many? Now prove it: say why that move had to work at all — not just that it did.
    Show your work
  2. 2

    Warm restartA box has a base area of 10 square inches and a height of 4 inches. What is its volume?

    1. A40 in³
    2. B14 in³
    3. C40 in²
    4. D2.5 in³

    How do you know?

  3. 3

    Warm restartWhat is the volume of a rectangular prism with l = 6 cm, w = 2 cm and h = 3 cm?

    1. A36 cm³
    2. B11 cm³
    3. C36 cm²
    4. D18 cm³

    How do you know?

  4. 4

    Warm restartA prism has a base area of 10 square feet and a volume of 40 cubic feet. What is its height?

    1. A4 feet
    2. B400 feet
    3. C30 feet
    4. D50 feet

    How do you know?

2.1 Small Group · Group 2 · Practice SetPart 1 of 4
6.DS.1 Group 2 · Challenge

Practice Set · Part 2

Understand Statistical Questions

Keep going

You answered these out loud. Now write them.

Answer, then say how you know — the reason is the part that counts.

  1. 5

    Think it throughWhich question is statistical?

    1. A'How many goals did each player score this season?'
    2. B'How many goals has the team scored total?'
    3. CBoth are statistical
    4. DNeither is statistical

    Why is that the answer?

  2. 6

    Think it throughWhy is the team total NOT a statistical question?

    1. ABecause it has exactly one answer, with no variability
    2. BBecause totals are never useful
    3. CBecause it is about soccer
    4. DBecause you cannot count goals

    How do you know? Give a second reason as well.

  3. 7

    Think it throughWhich of these is a statistical question?

    1. AHow tall are the students in my class?
    2. BHow tall am I?
    3. CWhat is today's date?
    4. DHow many minutes are in an hour?

    Explain your thinking. What would have to change for a different choice to be right?

  4. 8

    Back to the modelWhat pattern do you notice about statistical questions compared to non-statistical questions?

Sort it again — on paper this time

Write the letter of the group each one belongs in.

A — Statistical QuestionB — Not a Statistical Question
2.1 Small Group · Group 2 · Practice SetPart 2 of 4
6.DS.1 Group 2 · Challenge

Practice Set · Part 3

Understand Statistical Questions

Words and reasoning

Word bank · Banco de palabras

Statistical Questions and Data (Preguntas estadísticas y datos)Statistical Question (Pregunta estadística)Non-statistical Question (Pregunta no estadística)Data (Datos)Variability (Variabilidad)Survey (Encuesta)Data distribution (Distribución de datos)

Use the words

Fill each blank with a word from the bank.

Explain the thinking

  1. 9

    Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.

    The mistake: A common mistake in Statistical Questions and Data is judging a question by its topic or its numbers instead of its variability.
  2. 10

    Say moreWhile sorting the questions, what clue tells you instantly that a question will need DATA from many players to answer?

  3. 11

    Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: Five national park photographs are lined up on the board before you clock in as today's basketball data analyst. All kinds of questions could be asked about these parks.

    Show your work
2.1 Small Group · Group 2 · Practice SetPart 3 of 4
6.DS.1 Group 2 · Challenge

Practice Set · Part 4

Understand Statistical Questions

Show what you know

Last check

These two come from Lesson 1.6. If they are shaky, that is the lesson to revisit — not this one.

  1. 12

    Show what you knowExplain your thinking — Which question is a statistical question? A) How many students are in the school? B) How many hours does each student in 6th grade exercise per week? C) What time does school start? D) How many days are in a week?

    1. AHow many hours does each student exercise per week?
    2. BHow many students are in the school?
    3. CWhat time does school start?
    4. DHow many days are in a week?

    Explain your choice.

  2. 13

    From Lesson 1.6Explain your thinking — Which statement best captures what this lesson means by 'Math is Ours'?

    1. AWe are a community of math thinkers and doers — we work together and on our own, showing respect for our classmates, our community, ourselves, and our math ideas
    2. BMath belongs to whoever finishes first
    3. CWorking together means one person solves while the others watch
    4. DGetting stuck means math is not for you

    How do you know?

  3. 14

    From Lesson 1.6Why should the class agree on both a together-agreement and an alone-agreement?

    1. ABecause working alone matters more than working together
    2. BBecause math class includes both kinds of work, and each kind needs its own way to support the whole community
    3. CBecause agreements for working together are only for advanced students
    4. DBecause agreements about working alone don't affect other students

    How do you know?

Be honest — this tells your teacher what to do next

I can…Not yetGetting thereGot it
I can tell the difference between a statistical question and a non-statistical question, explain how I can tell, and judge a case I have not seen before.
I can explain why it works: If you expect the answers to vary, it is a statistical question — and you can say why it is true…
I can justify my answer to a skeptic and connect it to a second strategy or representation.

One question I want to ask my group next time