6.DS.1 Lesson 2-1-group2 🟣 Group 2 · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

2.1 Small Group · Group 2

Second Challenge Form · Non-Routine Extension · Same Standard, New Problems

Statistical Questions and Data · Statistical Question · Procedural Fluency · Real-World Applications

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: Push further — What makes a question a statistical question?
1If 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.
  • You already can do this. So we go up a level, not up a number: find what is always true, show it a second way, and be ready to defend it with a reason instead of an answer.
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.
3Second Model — Try it together — then prove it
  1. New question: "How many pets does each student in our class have?" Will every student give the same answer, or different answers?
  2. Some students have 0 pets and others have 2 or 3, so the answers vary. Is this statistical or not statistical?
  3. Now a different question: "How many days are in one week?" Does this have one fixed answer or many?
  4. Now prove it: say why that move had to work at all — not just that it did.
  5. Sentence frame — convince a skeptic: "My method works because ___ . It would stop working if ___ ."
4Mathematical 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.
5Watch 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

    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
  2. 2 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
  3. 3 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
  4. 4 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
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 5 ERROR ANALYSIS

    Fix our table's thinking

    1. 1The problem:The team analyst writes four questions for the scouting report. Which one is a statistical question?
    2. 2A classmate at our table answered:How many points is a single free throw worth?

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

    ✏️ Corrected Mathematical Work & Explanation
  2. 6 ERROR ANALYSIS

    Spot the Common Mistake

    1. 1Question:How many points does the team need to win a game?
    2. 2Student decision:This IS a statistical question.
    3. 3Student reason:It is about basketball and the answer is a number, so it must be statistical.

    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
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It