confidential1 good afternoon! today we will be learning about tables let’s warm up : find the...

CONFIDENTIAL 1

Good Afternoon!Today we will be learning about

Tables

Let’s warm up :

Find the median and range for the following list of values:

1) 5, 6, 8, 9, 7

2) 12, 7, 12, 8, 13, 6

3) 14, 12, 11, 10, 17, 13, 14

4) 16, 13, 12, 13, 15, 16, 12, 15, 17

1) median = 7; range = 4




CONFIDENTIAL 2

Let’s review what we did in the last session

Median: It's the middle number in a sorted list.

To find the Median, place the numbers you are given in numerical order

and find the middle number.

Range: It is the difference between the greatest and least number in a data set.

To find the Range in a given data set, Subtract the Smallest number from Greatest number

i.e.Range = Largest value - Smallest value

CONFIDENTIAL 3

Review

There can be two cases when finding the median for a given list of values.

Case1: If there are an odd amount of numbers.

Position of Middle number = (Total number of numbers + 1) ÷ 2

Case2: If there are an even amount of numbers.

In that case we need to find the middle pair of numbers.

The median is the mean (the usual average) of the middle two values.

The median is the value of the middle number.

CONFIDENTIAL 4

Review

Find the median for the following list of values:

13, 18, 13, 14, 13, 16, 14, 21, 13

We rewrite the list in order: 13, 13, 13, 13, 14, 14, 16, 18, 21

There are nine numbers in the list.

Our middle number will be the fifth number.

The median value of this set of numbers is 14.

13, 13, 13, 13, 14, 14, 16, 18, 21

Median = 14

CONFIDENTIAL 5

Review

1, 2, 4, 6, 7, 8

Find the median for the following list of values:

We see that there are an even amount of numbers i.e. 6.

So, the middle pair of numbers are: 3 and 4

The numbers are already listed in numerical order, so you don't have to rewrite the list.

1, 2, 4, 6, 7, 8

To find the value half-way between them, add them together and divide by 2:

4 + 6 = 1010 ÷ 2 = 5

The median value of this set of numbers is 5.

Median = 5

CONFIDENTIAL 6

Review

Find the range for the following list of values:

13, 18, 13, 14, 13, 16, 14, 21, 13

We rewrite the list in order: 13, 13, 13, 13, 14, 14, 16, 18, 21

Smallest value in the list is 13. AND

Largest value in the list is 21.

Range = Largest value - Smallest value = 21 – 13 = 8

The Range of this set of numbers is 8.

Range = 8

CONFIDENTIAL 7

Let’s start withTables

Survey: A survey is one way to collect information or data. When you conduct a survey, you ask a question and record

the answers.

The question for one class survey was, “What do you like to eat?”

The answer choices were Chicken nuggets, corn, French fries, salad and tuna

sandwich.

What do you like to eat?

Answer Tally Number

Chicken nuggets 13

Corn 7

French fries 6

salad 0

tuna sandwich 4

The answer choice nuggets was given more often.

CONFIDENTIAL 8

To conduct a survey and organize your data keep in mind the following things.

Choose a topic for your survey to tell what the data shows.

Choose the questions that you will ask.

Show the answers on the table .

Organize the chart by making a tally mark for each answer.

Choose how many answers you will allow each person to give.

Keep track of the number of people you survey.

CONFIDENTIAL 9

So, in general you should do the following steps :

STEP 1: Write a question that has 3 or 4 possible answers. List the possible answers in a tally chart like the one shown.

STEP 2: Survey 20 people. Allow each person to give only one answer. Make a tally mark for each answer. Then add the tally marks for each answer.

STEP 3: Analyze your data, i.e. how would describe the results of your survey.

Question:

Answer Tally Number

CONFIDENTIAL 10

Tally: A tally chart is a way to show the information or data you have

collected.

Use the tally chart to answer the questions.How many children are in your family?

Answer Tally Number

1 2

2 13

3 8

4 2

More than 4 0

1) What is the survey question? [How many children are in your family?]

2) Which answer was given most often? Least often?[2 children; More than 4 children]

CONFIDENTIAL 11

Use the tally chart to answer the questions.

What is your favorite summer activity?

Activity Tally Number

Bicycling 13

Going to camp 3

Swimming 6

Playing video games

16

1) What is the survey question?

2) Which answer was given most often? Least often?

3) How many students answered the survey question?

4) How many students named the two popular activities?

1) What is your favorite summer activity?

2) Playing video games. Going to camp

3) 38

4) 29

CONFIDENTIAL 12

Use the list given to make a tally chart then solve the problems

How often do you bring lunch to school?

Gina sometimes

Wilson never

Pasco sometimes

Joy sometimes

Rosalie

always

Bob sometimes

Joanna sometimes

Will always

1) What are the possible answers on your tally chart?

2) How many students never bring lunch to school?

3) How many students sometimes bring lunch to school?

4) How many students always bring lunch to school?

Now you try!

1) always, sometimes, never

2) 1

3) 5

4) 2

CONFIDENTIAL 13

Mike has 4 baseball cards. Each week he gets 2 more cards. Fredrick has 3 baseball cards and

gets 1 more card each week. How many baseball cards will each have when they have a total of 19

baseball cards?Here is the table of information about the problem.

Mike’s cards Fredrick’s cards Total cards

4 3 7

6 4 10

8 5 13

10 6 16

12 7 19

Week1Week2

Week3

Week4

Week4

How many cards each boy had when the total card is 19.

Mike has 4 cards and Fredrick has 3 cards.

CONFIDENTIAL 14

Make a table

Read each sentence and then paraphrase, which says the same thing in a different

way.

Original sentence Paraphrase

Art is twice bob’s age. Art’s age ÷ 2 = Bob’s ageOR, Bob’s age × 2 = Art’s age

Cal is half Dee’s age. Cal’s age × 2 = Dee’s age OR, Dee’s age ÷ 2 = Cal’s age

Each person is 3 inches taller than the next tallest person.

First person’s height + 3’ = Second person’s heightSecond person’s height + 3’ = Third person’s height

CONFIDENTIAL 15

Circle the correct example:

1) Emma is half Fran’s age.

a) Emma is 20 Fran is 30.b) Emma is 40 Fran is 20.c) Emma is 40 Fran is 80.

2) Gus is twice Haruo’s age.

a) Gus is 6 Haruo is 12.b) Gus is 3 Haruo is 12.c) Gus is 6 Haruo is 3.

3) A plant doubles its height every week.

a) Week 1:2”. Week 2:4”. Week 3:8”.b) Week 1:2”. Week 2:3”. Week 3:4”.c) Week 1:2”. Week 2:4”. Week 3:6”.

CONFIDENTIAL 16

Together, Herman’s age and his sister’s age equal 27. Herman’s sister’s age is twice

Herman’s age? How old is Herman? How old is his sister?

Herman’s age Sister’s age Total age

1 2 3

2 4 6

3 6 9

4 8 12

5 10 15

6 12 18

7 14 21

8 16 24

9 18 27

Here is the table of information about the problem.

Herman is 9 years old and his sister is 18 years old.

CONFIDENTIAL 17

Now you try!

1) Plant A is 9 inches tall. Plant B is 2 inches tall. If each plant grows 1 inch each week, how tall will each plant be when Plant A is twice as tall as Plant

B?

2) Dan, Bruce and Jim are brothers. Bruce is twice as old as Jim and Dan is 5 years younger than Jim. Jim is 9 years old. How old is each brother now?

1) Plant A is 14 inches; Plant B is 7 inches

2) Dan is 4 years ; Jim is 9 years ; Bruce is 18 years ;

CONFIDENTIAL 18

Assessment

Use the tally chart to answer the questions.

What is your favorite drink?

Drink Tally Number

Water 7

Sports drink 4

Fruit juice 11

Hot cocoa 5

Tea 3

1) What is the survey question?

2) Which answer was given most often? Least often?

3) How many students answered the survey question?

4) How many students chose fruit juice or water?

1) What is your favorite drink?

2) Fruit juice; Tea

3) 30

4) 18

CONFIDENTIAL 19

Use the list given to make a tally chart then solve the problems

Is math your favorite subject?

Gina Yes

Wilson No

Pasco Yes

Joy Maybe

Rosalie

Yes

Bob No

Joanna No

Josh Maybe

Will Yes

5) What are the possible answers on your tally chart?

6) Which answer was given most?

5) Yes; Maybe; No.

6) Yes

CONFIDENTIAL 20

7) Gina is 14 years old. Her uncle is 31 years old. How old will Gina and her uncle be when

Gina’s uncle age is twice as old as she is?

7) 17 years old; 34 years old.

8) Judy has made 7 T-shirts. Each day she makes another 4 T-shirts. Harry has made 11

T-shirts and makes another 3 T-shirts everyday. How many T-shirts total will Judy

and Harry have made after six days?8) 60 T-shirts

9) Steve has read 5 books. Each week he reads 3 more books. Emily has read 6 books. Each week she 2 more. How many books will each have read when they have read a total

of 41 books?9) Steve 23 books; Emily 18 books

CONFIDENTIAL 21

Survey: A survey is one way to collect information or data. When you conduct a survey, you ask a question and record

the answers.

The question for one class survey was, “What do you like to eat?”

The answer choices were Chicken nuggets, corn, French fries, salad and tuna

sandwich.

What do you like to eat?

Answer Tally Number

Chicken nuggets 13

Corn 7

French fries 6

salad 0

tuna sandwich 4

The answer choice nuggets was given more often.

Very Good!Let's Review

CONFIDENTIAL 22

To conduct a survey and organize your data keep in mind the following things.

Choose a topic for your survey to tell what the data shows.

Choose the questions that you will ask.

Show the answers on the table .

Organize the chart by making a tally mark for each answer.

Choose how many answers you will allow each person to give.

Keep track of the number of people you survey.

Review

CONFIDENTIAL 23

So, in general you should do the following steps :

STEP 1: Write a question that has 3 or 4 possible answers. List the possible answers in a tally chart like the one shown.

STEP 2: Survey 20 people. Allow each person to give only one answer. Make a tally mark for each answer. Then add the tally marks for each answer.

STEP 3: Analyze your data, i.e. how would describe the results of your survey.

Question:

Answer Tally Number

Review

CONFIDENTIAL 24

Tally: A tally chart is a way to show the information or data you have

collected.

Use the tally chart to answer the questions.How many children are in your family?

Answer Tally Number

1 2

2 13

3 8

4 2

More than 4 0

1) What is the survey question? [How many children are in your family?]

2) Which answer was given most often? Least often?[2 children; More than 4 children]

Review

CONFIDENTIAL 25

Mike has 4 baseball cards. Each week he gets 2 more cards. Fredrick has 3 baseball cards and

gets 1 more card each week. How many baseball cards will each have when they have a total of 19

baseball cards?Here is the table of information about the problem.

Mike’s cards Fredrick’s cards Total cards

4 3 7

6 4 10

8 5 13

10 6 16

12 7 19

Week1Week2

Week3

Week4

Week4

How many cards each boy had when the total card is 19.

Mike has 4 cards and Fredrick has 3 cards.

Review

CONFIDENTIAL 26

Together, Herman’s age and his sister’s age equal 27. Herman’s sister’s age is twice

Herman’s age? How old is Herman? How old is his sister?

Herman’s age Sister’s age Total age

1 2 3

2 4 6

3 6 9

4 8 12

5 10 15

6 12 18

7 14 21

8 16 24

9 18 27

Here is the table of information about the problem.

Herman is 9 years old and his sister is 18 years old.

Review

CONFIDENTIAL 27

You have done a nice job.See you in the next session.

confidential1 good afternoon! today we will be learning about tables let’s warm up : find the...

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