6.DS.1 Lesson 2-1-part2 Apply Day · Version A
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

2.1 · Part II

Supported Application · Guided Entry to Today's Problem

Statistical Questions and Data · Statistical Question

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ CONCEPT SUMMARY & GUIDED NOTES: 2.1 · Part II
1Statistical Questions & Variability
2Strategy Model — step by step
  1. Statistical Question: Expects answers that vary across people, trials, or items
  2. Non-Statistical Question: Has one single fixed answer
  3. Data Collection: Gather varied data points to create a distribution
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.
  1. 1 MATCHING

    Match each question to its type.

    1. How tall is each swimmer on the team?
    2. What color is the team mascot?
    3. How many laps does each runner complete?
    4. How many players are on a soccer team?
    • AStatistical
    • BNot Statistical
    • CStatistical
    • DNot Statistical
📐 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
6.DS.1 Lesson 2-1-part2 Apply Day · Version B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

2.1 · Part II

On-Level Application · Standard Rigor

Statistical Questions and Data · Statistical Question

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 2.1 · Part II
1Statistical Questions & Variability
2The Structural Procedure
  1. Statistical Question: Expects answers that vary across people, trials, or items
  2. Non-Statistical Question: Has one single fixed answer
  3. Data Collection: Gather varied data points to create a distribution
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 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MATCHING

    Match each question with what makes it statistical or not.

    1. How fast does each sprinter run the 100m?
    2. How long is an Olympic pool?
    3. How many goals did each player score this season?
    4. How many innings are in a baseball game?
    • AVariability — Statistical
    • BOne answer — Not Statistical
    • CVariability — Statistical
    • DOne answer — Not Statistical
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 2 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. 3 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
📐 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
6.DS.1 Lesson 2-1-part2 Apply Day · Challenge
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

2.1 · Part II

Extension & Non-Routine Application

Statistical Questions and Data · Statistical Question

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 2.1 · Part II
1Statistical Questions & Variability
2The Structural Procedure
  1. Statistical Question: Expects answers that vary across people, trials, or items
  2. Non-Statistical Question: Has one single fixed answer
  3. Data Collection: Gather varied data points to create a distribution
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

    Which question is a STATISTICAL question?

    1. AHow many minutes did each student in our class sleep last night?
    2. BHow many minutes did I sleep last night?
    3. CHow many students are in our class?
    4. DWhat time does school start?
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    A survey asks 30 students how many books they read last month, collecting 30 answers. What makes this a statistical question?

    1. AIt is about books
    2. BEveryone reads the same number
    3. CThe answers vary from student to student
    4. DIt has exactly one correct answer
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 3 OPEN RESPONSE

    Write one statistical question and one non-statistical question about your school's cafeteria. Explain why each question is or is not statistical, and describe what the data would look like for the statistical question.

    ✏️ Mathematical Justification & Response
📐 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