Neft Teacher · Notes Packet

Unit 8 · Standard 6.SP.1

Statistical Questions and Data Flagship

Lesson 8-1-flagship

Name:Date:Class:

Front Office Mission

Scout the Hardwood

You are the new data analyst for the Riverside Hoops youth league. The head coach drops a stack of questions on your desk — some will yield rich data full of variety, others just one fixed fact. Master statistical questions and you decide what the front office actually investigates.

Key Vocabulary Level 1 support

Picture first, then the word, then a plain-language meaning. Say each word out loud.

Illustration of Statistical Question: A question where the answers will be different for different people.

"How tall are the players on the team?" → answers vary: 60 in, 63 in, 58 in, 65 in

Statistical Question

A question where the answers will be different for different people.

Illustration of Data: Facts and numbers you collect, like answers to a survey.

Player heights: 60 in, 63 in, 58 in, 65 in — four different measurements

Data

Facts and numbers you collect, like answers to a survey.

Illustration of Variability: How spread out the numbers are.

Scores 10, 12, 11 are close together (low variability); scores 2, 15, 30 are far apart (high variability)

Variability

How spread out the numbers are.

Illustration of Survey: Collecting facts by asking people questions.

Asking 50 students 'What is your favorite sport?' and recording the answers

Survey

Collecting facts by asking people questions.

Illustration of Data distribution: How the data looks: where it sits and how spread out it is.

If most scores cluster in the middle with fewer at the edges, the distribution is symmetric

Data distribution

How the data looks: where it sits and how spread out it is.

Key Ideas & Notes

Think About It

  • Which questions could have many different answers?
  • Which questions have only one exact answer?
  • What makes a question good for collecting data?

My Notes

Guided Examples

Example 1

Which of the following is a statistical question?

Solution: "How many points did each player score?" is statistical because different players will have different scores — there is variability in the data.

Answer: A. How many points did each player score this season?

Example 2

Which question is NOT a statistical question?

Solution: "How many innings are in a baseball game?" has one fixed answer (9) — no variability. The other questions all produce different answers for different people.

Answer: A. How many innings are in a baseball game?

Example 3

Why is 'How many hours of sleep did each student get last night?' a statistical question?

Solution: A statistical question anticipates variability — different students slept different amounts, so the data will vary.

Answer: A. Because different students got different amounts of sleep

Write About the Math The Writing Revolution

I can explain my reasoning using the words statistical question, data, variability, and survey.

1. Kernel Sentence subject + verb

Model: Statistical Question is a question where the answers will be different for different people.Pregunta estadística es una pregunta cuyas respuestas serán distintas para distintas personas.

Write a kernel sentence about statistical question. Use a subject and a verb.Escribe una oración base sobre pregunta estadística. Usa un sujeto y un verbo.

2. Sentence Expansion because · but · so

Kernel: Statistical Question matters in mathPregunta estadística importa en matemáticas

Expand the kernel three ways. Add a reason, a contrast, and a result.

becauseporque

Statistical Question matters in math because ___.Pregunta estadística importa en matemáticas porque ___.

butpero

Statistical Question matters in math, but ___.Pregunta estadística importa en matemáticas, pero ___.

soentonces

Statistical Question matters in math, so ___.Pregunta estadística importa en matemáticas, entonces ___.

3. Sentence Types 4 ways to write a math idea

StatementAfirmación

Tell one true fact about statistical question.Di un hecho verdadero sobre statistical question.

Statistical question ___.

QuestionPregunta

Ask a question about statistical question.Haz una pregunta sobre statistical question.

How does ___ ?¿Cómo ___ ?

ExclamationExclamación

Show excitement about statistical question.Muestra entusiasmo sobre statistical question.

Wow, ___ !¡Guau, ___ !

CommandMandato

Tell a partner what to do with statistical question.Dile a un compañero qué hacer con statistical question.

First, ___ .Primero, ___ .

4. Explain Your Reasoning use a sentence starter

I know ___ because ___.Sé que ___ porque ___.

First I ___, then I ___.Primero ___, luego ___.

This is important because ___.Esto es importante porque ___.

Try It

Solve on your own. Check the answer key when you are done.

1. 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. Because the answers will vary from athlete to athlete
  2. Because it is about sports
  3. Because it has a numerical answer
  4. Because the coach asked it
Show your work:

2. Match each question with what makes it statistical or not.

Show your work:

Stretch Your Thinking Level 2 enrichment

Challenge task — explain your reasoning in full sentences.

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.

Sentence starter: Statistical question: ___. This is statistical because ___. The data might look like: ___. Non-statistical question: ___. This is not statistical because ___.

Show your work:

Reflect — Exit Ticket

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?

  1. B) How many hours does each student exercise per week?
  2. A) How many students are in the school?
  3. C) What time does school start?
  4. D) How many days are in a week?
Your answer:

Answer Key & Teacher Guide

  1. Try It 1: A. Because the answers will vary from athlete to athlete — A statistical question anticipates variability. Different athletes sleep different amounts, so the data collected will vary.
  2. Try It 2:
  3. Exit Ticket: A. B) How many hours does each student exercise per week? — "How many hours does each student exercise per week?" is statistical because different students exercise different amounts — the data has variability.

Writing (TWR) — what to look for