Math Unit 1Math Unit 1

Populations and Populations and SamplesSamples

Vocabulary You Need To Vocabulary You Need To KnowKnow

SurveySurvey variablevariable valuevalue numerical variablenumerical variable categorical variablecategorical variable datadata modemode

Goals for the lessonGoals for the lesson

Gather, organize, graph, and Gather, organize, graph, and analyze data using variables, analyze data using variables, making data tables, and drawing making data tables, and drawing bar graphs.bar graphs.

Connect math and science to Connect math and science to everyday lifeeveryday life

Work cooperatively with othersWork cooperatively with others Math can be funMath can be fun

BrainstormBrainstorm

WHAT IS A SURVEY???WHAT IS A SURVEY???

What do we know from the What do we know from the data?data?

DO you think the data will help DO you think the data will help convince Blanca’s mom that slip-convince Blanca’s mom that slip-ons are not fashionable?ons are not fashionable?

Would a graph help?Would a graph help? What the most common kind of What the most common kind of

shoe in Blanca’s class?shoe in Blanca’s class? What would the data look like if we What would the data look like if we

surveyed our school? surveyed our school?

Blanca & Irma’s DataBlanca & Irma’s Data

0123456789

HighTops

LaceBoots

Slip-ons

# Of Pairs of Shoes3-D Column 23-D Column 3

What is a variable?What is a variable?

Things that change or vary in an Things that change or vary in an experiment or surveyexperiment or survey

Example: Example: • kind of shoes kind of shoes • number of shoes number of shoes

Numerical VariablesNumerical Variables

Numerical : NumbersNumerical : Numbers• If I ask how many pairs of high top If I ask how many pairs of high top

sneakers you have will the answer be sneakers you have will the answer be numbers or words?numbers or words?

• Your answer would be numbers (1 pair, 2 Your answer would be numbers (1 pair, 2 pairs, 3pairs,etc.)pairs, 3pairs,etc.)

Therefore : Number of pairs of high top Therefore : Number of pairs of high top sneakers is a numerical value sneakers is a numerical value

Numerical Variable- a question that has a Numerical Variable- a question that has a number for the answer or valuenumber for the answer or value

Categorical VariablesCategorical Variables

Categorical : Words NOT numbersCategorical : Words NOT numbers• Type of shoe is a categorical variableType of shoe is a categorical variable• If I ask you what kind of shoes you If I ask you what kind of shoes you

have on, you will give me words have on, you will give me words (sandals, tennis shoes, boots, etc)(sandals, tennis shoes, boots, etc)

Therefore, type of shoe is a categorical Therefore, type of shoe is a categorical variablevariable

Categorical variable- a question with Categorical variable- a question with words for the answers or valueswords for the answers or values

ValuesValues

The answers to the questionThe answers to the question If I ask what kind of shoes you are If I ask what kind of shoes you are

wearing (variable), you answer by wearing (variable), you answer by saying Sandal, sneakers, boots saying Sandal, sneakers, boots (values)(values)

LET’S TRYLET’S TRY

Variables Values

Kind of Shoe High-Top Sneakers, Low-Top Sneakers,

Sandals Number of pairs of

shoes 0, 1, 2, 4

Shirt Color

Age

TIMS Laboratory Method TIMS Laboratory Method

1. Determine your question1. Determine your question

2. Determine the variables 2. Determine the variables

3. Draw3. Draw

4. Collect4. Collect

5. Graph5. Graph

6. Explore6. Explore

Let’s BeginLet’s Begin

How many eyelets are on the shoes How many eyelets are on the shoes of the students in your class?of the students in your class?

What are the variables?What are the variables?

Number of Eyelets Number of Eyelets

Number of Pairs of Shoes Number of Pairs of Shoes

Let’s DrawLet’s Draw

Include both variablesInclude both variables Include possible valuesInclude possible values LABEL EVERYTHING!LABEL EVERYTHING!

Collect the DataCollect the Data

E Number of Eyelets

P Pairs of Shoes

Let’s Check The DataLet’s Check The Data

Did we include everyone?Did we include everyone? How do we know?How do we know?

Graph the DataGraph the Data

All graphs must include:All graphs must include:• TitleTitle• Label both Axis with the correct Label both Axis with the correct

values and variablesvalues and variables• Values must be equally spaced on the Values must be equally spaced on the

axisaxis• Put the value 0 where the axis meetPut the value 0 where the axis meet

Explore: Analyze the DataExplore: Analyze the Data

How many have 20 eyelets? 8? 0?How many have 20 eyelets? 8? 0? What is the MODE? (most common What is the MODE? (most common

number of eyelets)number of eyelets) What are the values for number of What are the values for number of

eyelets?eyelets? What do we notice about those values?What do we notice about those values? Alexis said she had 14 eyelets on her Alexis said she had 14 eyelets on her

pair of shoes. Do you think she is pair of shoes. Do you think she is correct? Why or why not?correct? Why or why not?

Describing the graph using Describing the graph using words. 4 things to words. 4 things to include:include:

How many bars are on the graph?How many bars are on the graph? What is the tallest and shortest bar?What is the tallest and shortest bar? Where are the bars located?Where are the bars located?

• Beginning of the graphBeginning of the graph• Middle of the graphMiddle of the graph• End of the graphEnd of the graph

What is the mode (tallest bar) on the What is the mode (tallest bar) on the graph?graph?

Let’s Try It!Let’s Try It!

Describe the Eyelets Describe the Eyelets graphs for:graphs for:

A professional basketball team in A professional basketball team in uniform.uniform.

Vacationers on a beachVacationers on a beach

Where would the tallest bars be on Where would the tallest bars be on the graph? the graph?

Would there be many bars or just Would there be many bars or just one or two?one or two?

QuestionsQuestions

What is the total number of eyelets on What is the total number of eyelets on all the shoes of all the students in your all the shoes of all the students in your class?class?

Estimate the total number of eyelets Estimate the total number of eyelets for the entire 5for the entire 5thth grade. grade.

How did you make your estimate?How did you make your estimate? How would the graph be different if you How would the graph be different if you

gathered data from all the fifth graders gathered data from all the fifth graders in your school?in your school?

Did we reach our goals?Did we reach our goals?

Gather, organize, graph, and Gather, organize, graph, and analyze data using variables, analyze data using variables, making data tables, and drawing making data tables, and drawing bar graphs.bar graphs.

Connect math and science to Connect math and science to everyday lifeeveryday life

Work cooperatively with othersWork cooperatively with others Math can be funMath can be fun

Think and Write About It!Think and Write About It!

What would happen if some students What would happen if some students counted the eyelets on only one shoe counted the eyelets on only one shoe while other students counted the while other students counted the eyelets on both sides?eyelets on both sides?• Write your response in your math journal.Write your response in your math journal.• Include your answer to the question and Include your answer to the question and

support your answer with facts and support your answer with facts and examples.examples.

• Remember to strive for five!Remember to strive for five!