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

Lesson 2.1Dot Plots and Shape

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can tell the difference between a statistical question and a non-statistical question.

Start hereWords for this lesson

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

Word	What it means	Example
Statistical QuestionSpanish: Pregunta estadística	A question answered with data that are expected to vary.	“How tall are the players on the team?” → answers vary: 60 in, 63 in, 58 in, 65 in
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 am I?” → one answer: 60 in. Everyone who measures gets the same number.
DataSpanish: Datos	Facts and numbers you collect, like answers to a survey.	Player heights: 60 in, 63 in, 58 in, 65 in — four different measurements
VariabilitySpanish: Variabilidad	How spread out the numbers are.	Scores 10, 12, 11 are close together (low variability); scores 2, 15, 30 are far apart (high variability)
SurveySpanish: Encuesta	Collecting facts by asking people questions.	Asking 50 students 'What is your favorite sport?' and recording the answers
Data distributionSpanish: Distribución de datos	How the data looks: where it sits and how spread out it is.	Most dots near the middle

How it worksWorked example

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

Six students read 3, 1, 2, 3, 3, 5 books. Make a dot plot and read it.

Draw a line from 1 to 5.
Stack dots: one at 1, one at 2, three at 3, one at 5.
Check: 6 dots for 6 students.

Answer: Most common value 3; least 1; greatest 5

Say it and write itSentence starters

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

Each dot on my plot stands for .
The most common value is because .
The values run from to .
The shape is because the two sides .

Word bank dot plotnumber linestackmost commonleastgreatestshapesymmetricdistributionspreaddatavalue

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 2.1Dot Plots and Shape

Apply Day · Version ASupported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice

Name Date Period

Learning target I can tell the difference between a statistical question and a non-statistical question.

1Complete each step, then write the final answer.

Is this a statistical question? "What is each student's favorite fruit?" Type yes or no.
Show your work
Hint Will every student say the same fruit?
Final answer:
2Complete each step, then write the final answer.

Is this a statistical question? "How many wheels does a bike have?" Type yes or no.
Show your work
Hint How many different answers can this question have?
Final answer:
3Complete each step, then write the final answer.

Is this a statistical question? "How many letters are in each student's first name?" Type yes or no.
Show your work
Hint Think of names you know. Do they all have the same number of letters?
Final answer:

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

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

Lesson 2.1Dot Plots and Shape

Apply Day · Version BCore practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice

Name Date Period

Learning target I can tell the difference between a statistical question and a non-statistical question.

1Complete 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
Final answer:
2Complete each step, then write the final answer.

Is this a statistical question? "How many minutes does Lena take to get dressed each morning?" Type yes or no.
Show your work
Final answer:
3Complete each step, then write the final answer.

Is this a statistical question? "How many brothers and sisters does each student in our class have?" Type yes or no.
Show your work
Final answer:

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

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

Lesson 2.1Dot Plots and Shape

Apply Day · ChallengeExtension

Mastery check☐ Exceeds☐ Meets target☐ Needs practice

Name Date Period

Learning target I can tell the difference between a statistical question and a non-statistical question.

1Circle the letter of the best answer. Show how you know.
Which question is a STATISTICAL question?
1. AHow many minutes did I sleep last night?
2. BHow many students are in our class?
3. CWhat time does school start?
4. DHow many minutes did each student in our class sleep last night?
Show your work
2Complete each step, then write the final answer.

Raj says "How many students are in our class?" is statistical because it is about many students. Is Raj right? Type yes or no.
Show your work
Final answer:
3Complete each step, then write the final answer.

Is this a statistical question? "How many text messages does Omar send each day this month?" Type yes or no.
Show your work
Final answer:

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