Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.DS.1

Lesson 2.12.1 Small Group · Group 1

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target 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.

Why This Matters This is your support small group for Lesson 2.1. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
Statistical QuestionSpanish: Pregunta estadística A question where the answers will be different for different people. How tall is each student?
Non-statistical QuestionSpanish: Pregunta no estadística A question that does not anticipate variability in the data used to answer it. It may ask for one fact or measurement. How tall is the flagpole?
DataSpanish: Datos Facts and numbers you collect, like answers to a survey. 0, 2, 5, 1 pets
VariabilitySpanish: Variabilidad How spread out the numbers are. 0, 2, 5 pets — answers vary
SurveySpanish: Encuesta Collecting facts by asking people questions. Asking classmates one question
Data distributionSpanish: Distribución de datos How the data looks: where it sits and how spread out it is. A distribution is symmetric when its left and right sides have approximately matching shapes around the center.

How it worksWorked example

These numbers are not on your problems. The steps are. Follow them with your own numbers.

Which is statistical: “How many siblings does each student have?” or “How many sides does a triangle have?”

  1. Sibling counts differ: 0, 1, 3.
  2. A triangle always has 3 sides.

Answer: The sibling question is statistical; the triangle question is not.

Now you trySame steps, your turn

The steps are the same as the worked example. The numbers are yours. Do the work.

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?"

Answer:

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

  • This question statistical because .
  • I expect the answers to from person to person.
  • A non-statistical question has answer.
  • The data I would collect might look like .

Word bank statisticalnon-statisticalvariabilitydatasurveyvaryanswerscollectfixeddifferentquestiontypical

Watch out!A common mistake

A common mistake in Statistical Questions and Data is judging a question by its topic or its numbers instead of its variability. Students see a question about ONE player, ONE game, or ONE fixed fact

Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.DS.1

Lesson 2.12.1 Small Group · Group 1

Group 1Supported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target 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.

Why This Matters This is your support small group for Lesson 2.1. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.

  1. 1Complete each step, then write the final answer.
    101214161820222426283032Minutes to eat lunch
    Five students, different times.

    Is this a statistical question? "How many minutes does each student in our group take to eat lunch?" The answers are 15, 20, 20, 25 and 30.

    1. 1Who is the question about?
    2. 2Are the answers different? Type yes or no.
    3. 3Is it a statistical question? Type yes or no.
    Final answer:
  2. 2Complete each step, then write the final answer.
    101214161820222426283032Minutes in the lunch period
    One lunch period: only one value.

    Is this a statistical question? "How many minutes long is our lunch period today?" The lunch period is 30 minutes.

    1. 1Who or what is the question about?
    2. 2How many different answers can it have?
    3. 3Is it a statistical question? Type yes or no.
    Final answer:
  3. 3Complete each step, then write the final answer.

    Is this a statistical question? "How tall is each student in our class?" Type yes or no.

    Show your work

    Hint Think about many students. Will they all be the same height?

    Final answer:
  4. 4Complete each step, then write the final answer.

    A soccer team has 11 players on the field. Is "How many players does one team have on the field?" a statistical question? Type yes or no.

    Show your work

    Hint Will everyone who checks find the same number?

    Final answer:
  5. 5Complete each step, then write the final answer.
    0123456Books read this month

    Ana asks students, "How many books did you read this month?" She gets the answers 0, 2, 2, 3 and 5. Is her question statistical? Type yes or no.

    Show your work

    Hint Look at Ana's answers. Are they all the same?

    Final answer:
  6. 6Complete each step, then write the final answer.

    Leo says "How many days are in March?" is a statistical question because March has many days. Is Leo right? Type yes or no.

    Show your work

    Hint Many days is not the test. Ask: will the answers be different?

    Final answer:

Explain your thinkingHow can you tell if a question is statistical? Use the two lunch questions to explain.

Sentence starter A question is statistical when ___. · The question about ___ is not statistical because ___.

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help