6.DS.1 Lesson 2-1-group1 🟡 Group 1 · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

2.1 Small Group · Group 1

Second Practice Form · Re-Teach, Homework or Retake · Same Standard, New Problems

Statistical Questions and Data · Statistical Question · Procedural Fluency · Reasoning & Critique

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: Let's build it together — What makes a question a statistical question?
1If you expect the answers to vary, it is a statistical question.
  • A statistical question is one you answer by collecting data, and the answers are different for different people or cases. A non-statistical question has just one fixed answer. We'll walk through a worked example, try one together, then you'll try a few with hints right there when you need them.
2Worked Example — 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.
3Mathematical Word Bank
  • Statistical Questions and Data (Preguntas estadísticas y datos) — A statistical question expects varied answers that can be collected as data.
  • Statistical Question (Pregunta estadística) — A question where the answers will be different for different people.
  • Non-statistical Question (Pregunta no estadística) — A question that has just one fixed answer that is the same no matter who you ask, so there is no data to collect.
  • Data (Datos) — Facts and numbers you collect, like answers to a survey.
  • Variability (Variabilidad) — How spread out the numbers are.
  • Survey (Encuesta) — Collecting facts by asking people questions.
4Watch out
  • 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 — like "How many points does the team need to win a game?" — and call it statistical just because it has a number or is about sports. Or they see a question about a single player's whole season, like "How many touchdowns did the quarterback throw this season?", and call it NOT statistical because only one player is named, forgetting that a season covers many games with a different result each time. Both errors skip the real test: will the answers actually differ from case to case (game to game, player to player)? If yes, it is a statistical question; if there is one fixed answer, it is not.
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    A coach asks: "How many hours does each athlete on the track team sleep the night before a meet?" Why is this a statistical question?

    1. ABecause the answers will vary from athlete to athlete
    2. BBecause it is about sports
    3. CBecause it has a numerical answer
    4. DBecause the coach asked it
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    Which of these is a statistical question?

    1. AWhat time is it right now?
    2. BHow tall are the students in my class?
    3. CWhat is my shoe size?
    4. DWhat is 7 × 8?
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Which of these would collect data that VARIES (making it a statistical question)?

    1. AHow many days are in one week?
    2. BHow many siblings does each student in the class have?
    3. CHow many minutes are in one hour?
    4. DWhat is 12 + 12?
    ✏️ Workspace & Solution Steps
  4. 4 MULTIPLE CHOICE

    The team analyst writes four questions for the scouting report. Which one is a statistical question?

    1. AHow many rebounds does each player grab per game?
    2. BHow many points is a single free throw worth?
    3. CWhat is the height of the basketball rim?
    4. DHow many timeouts does each team get per half?
    ✏️ Workspace & Solution Steps
  5. 5 MULTIPLE CHOICE

    Why does the question "How many minutes did each athlete warm up before the game?" count as a statistical question?

    1. ABecause the warm-up times will vary from one athlete to another
    2. BBecause the answer is measured in minutes
    3. CBecause every athlete warmed up for exactly the same time
    4. DBecause it is about a sports team
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 6 ERROR ANALYSIS

    Level 2 Extension — A Misclassified Scouting Question

    1. 1Question:How many goals did the league's top scorer net this season?
    2. 2Student decision:This is NOT a statistical question.
    3. 3Student reason:It names only one player, so there can be no variability in the answers.

    Which step contains the error? Explain the mathematical misconception and write the correct calculation below.

    ✏️ Corrected Mathematical Work & Explanation
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
Starter: My mathematical claim is that the solution is...
E Evidence
Starter: The evidence from the model/table demonstrates that...
R Reasoning
Starter: This proves my answer because the standard mathematical definition of...
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It