6.DS.1 Group 1 · Extra Support

Practice Set · Part 1

Understand Statistical Questions

Pick up where we left off

Name: Date: Group:

Where we left off

Our goal: With my small group, I can tell the difference between a statistical question and a non-statistical question — one step at a time, with support.

The big idea: If you expect the answers to vary, it is a statistical question.

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.

    Let's try together: 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?

    My first step is ___ , because the problem asks for ___ .

    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
  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
  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
2.1 Small Group · Group 1 · Practice SetPart 1 of 4
6.DS.1 Group 1 · Extra Support

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?

    I chose ___ because ___ .

  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?

    I chose ___ because ___ .

  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.

    I chose ___ because ___ .

  4. 8

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

    Statistical questions expect ___ in the answers because ___. Non-statistical questions have only ___ answer because ___.

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 1 · Practice SetPart 2 of 4
6.DS.1 Group 1 · Extra Support

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?

    I know it needs data because it asks about ___.

  3. 11

    Change one numberGo back to Part 1 and pick one problem you already solved. Change one number in it, then solve your new version. Show every step.

    If ___ changed to ___ , then ___ .

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

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 knowQuick check — you've got this: 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.

    I know it is ___ because ___ .

  2. 13

    From Lesson 1.6Quick check — you've got this: 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
  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

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 — one step at a time, with support.
I can explain why it works: If you expect the answers to vary, it is a statistical question.
I can talk through each step out loud using a sentence frame and the lesson's key words.

One question I want to ask my group next time