Practice Set · Part 1
Understand Statistical Questions
Pick up where we left off
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 the answers vary, the question is statistical. If there is one fixed answer, it is not statistical.
Model to copy — Example 1 · One fixed answer
- Is this a statistical question? "How many points did our top player score last night?"
- Find who or what the question is about: 1 player, 1 game
- Ask: will the answers be different?: one answer: 18 points
- No. It has one fixed answer, so it is not a statistical question.
- Is this a statistical question? "How many points does each player score per game?" The answers are 8, 12, 12, 15, 18, 20, 22.
- Find who or what the question is about: each player
- List the answers you collect: 8, 12, 12, 15, 18, 20, 22
- Ask: are the answers different?
- Yes. The answers vary, so it 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
Same stepsFinish what the group started. Use the model above, step for step.
Let's do one together: Decide if each question is statistical. A: "How many pets does each student in our class have?" B: "How many days are in one week?" Question A: Will every student give the same answer? (No. Some students have 0 pets. Others have 2 or 3.) Is Question A statistical? (Yes. The answers vary.) Question B: How many answers can it have? (Only one: 7 days.) Is Question B statistical? (No. It has one fixed answer.)My first step is ___ , because the problem asks for ___ .
Show your work - 2
Warm restartA box has a base area of 10 square inches and a height of 4 inches. What is its volume?
- A2.5 in³
- B14 in³
- C40 in³
- D40 in²
- 3
Warm restartWhat is the volume of a rectangular prism with l = 6 cm, w = 2 cm and h = 3 cm?
- A11 cm³
- B18 cm³
- C36 cm³
- D36 cm²
- 4
Warm restartA prism has a base area of 10 square feet and a volume of 40 cubic feet. What is its height?
- A4 feet
- B30 feet
- C50 feet
- D400 feet
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.
- 5
Think it throughWhich question is statistical?
- A'How many goals has the team scored total?'
- BBoth are statistical
- C'How many goals did each player score this season?'
- DNeither is statistical
Why is that the answer?
I chose ___ because ___ .
- 6
Think it throughWhy is the team total NOT a statistical question?
- ABecause totals are never useful
- BBecause it is about soccer
- CBecause you cannot count goals
- DBecause it has exactly one answer, with no variability
How do you know?
I chose ___ because ___ .
- 7
Think it throughWhich of these is a statistical question?
- AHow tall am I?
- BWhat is today's date?
- CHow many minutes are in an hour?
- DHow tall are the students in my class?
Explain your thinking.
I chose ___ because ___ .
- 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.
- How many points does each player on the team score per game?
- How many players are on the roster?
- What is the free-throw percentage of each player?
- What color are the team jerseys?
- How many minutes does each player practice per week?
- How many quarters are in a basketball game?
- How far can each player throw the ball?
- What is the height of each player on the team?
Practice Set · Part 3
Understand Statistical Questions
Words and reasoning
Word bank · Banco de palabras
Use the words
Fill each blank with a word from the bank.
- A question that expects a variety of answers and is answered by collecting data is a ___.
- A question that does not anticipate variability in the data is a ___.
- Facts or numbers collected to answer a question are ___.
- How much the values in a data set differ from one another is the ___.
Explain the thinking
- 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. - 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 ___.
- 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
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.
- 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?
- AHow many hours does each student exercise per week?
- BHow many students are in the school?
- CWhat time does school start?
- DHow many days are in a week?
Explain your choice.
I know it is ___ because ___ .
- 13
From Lesson 1.6Quick check — you've got this: Which statement best captures what this lesson means by 'Math is Ours'?
- AMath belongs to whoever finishes first
- BWorking together means one person solves while the others watch
- CGetting stuck means math is not for you
- DWe 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
- 14
From Lesson 1.6Why should the class agree on both a together-agreement and an alone-agreement?
- ABecause math class includes both kinds of work, and each kind needs its own way to support the whole community
- BBecause working alone matters more than working together
- CBecause agreements for working together are only for advanced students
- DBecause agreements about working alone don't affect other students
Be honest — this tells your teacher what to do next
| I can… | Not yet | Getting there | Got 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 the answers vary, the question is statistical. If there is one fixed answer, it is not statistical. | |||
| 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