Data and Graphs Creating a Pictograph Bar Graphs Creating a - - PDF document

Slide 1 / 126 Slide 2 / 126

3rd Grade

Graphs

2015-11-03 www.njctl.org

Slide 3 / 126 Graphs Unit Topics

· Data & Graphs · Pictographs · Creating a Pictograph

Click on the topic to go to that section

· Bar Graphs · Creating a Bar Graph · Line Plots · Creating a Line Plot · Tally and Frequency Tables · Creating a Tally and Frequency Table

Slide 4 / 126

Data and Graphs

Click to return to the table of contents

Slide 5 / 126

The collection of information. Usually gathered by observation, questioning or measurement. Often organized in graphs or charts.

Data Slide 6 / 126

Bar Graph Pictograph

Types of Graphs/Charts

Pie Chart Line Graph Line Plot Tally and Frequency Tables

Slide 7 / 126

Graphs, charts, and tables present information in an organized

• way. They are very useful tools.

What information do you see organized in graphs, tables, or charts in everyday life?

Data Slide 8 / 126

Tally and Frequency Tables

Click to return to the table of contents

Slide 9 / 126

Frequency: how often a piece of data appears Tally: a way to keep count using lines

Frequency and Tallies Slide 10 / 126

A tally mark is written as a line or group of lines, like this: Each line represents a unit of one. = 1 = 2 = 3 = 4 = 5 = 6 = 7 How would you write 8? 9? How about 10? Notice, that for the amount of five, the last line is drawn across the other four lines.

Tallies Slide 11 / 126

You can show the amount of objects or data that you have by writing tally marks. For example, if you wanted to show 10, you would write: If you wanted to show 13, you would write: How would you write 14 in tally marks? What about 24?

Tallies Slide 12 / 126

Let's practice writing some numbers in tally marks: 3: 7: 9: 11: 15: 23: 30:

Tallies

Slide 13 / 126

1 What number is this: ?

Slide 14 / 126

2 What number is this: ?

Slide 15 / 126

3 What number is this: ?

Slide 16 / 126

4 What number is this ?

Slide 17 / 126

5 How would you write 12 in tally marks? A

B C

D

Slide 18 / 126

6 What is 32 in tally marks? A B

C

D

Slide 19 / 126

7 What is 7 in tally marks?

A B C D

Slide 20 / 126

Here is an example of a tally and a frequency table:

Tally and Frequency Tables Slide 21 / 126

Here is an example of a tally and a frequency table:

Tally and Frequency Tables Slide 22 / 126

Here is an example of a tally and a frequency table:

Tally and Frequency Tables Slide 23 / 126

Pets of Class 3B 8 Does the table below show information about the pets of Class 3B?

True False

Slide 24 / 126

9 The students of 3B have more dogs than cats.

True False

Pets of Class 3B

Slide 25 / 126

Pets of Class 3B 10 How many dogs do the students of 3B have?

Slide 26 / 126

Pets of Class 3B 11 How many hamsters do the students of 3B have?

Slide 27 / 126

12 How many cats and dogs do the students of 3B have altogether? Pets of Class 3B

Slide 28 / 126

Pets of Class 3B 13 How many more cats than dogs do the students of 3B have?

Slide 29 / 126

Pets of Class 3B Class 3B welcomes a new student. The new student has 4 cats. How will the table change?

Tally and Frequency Tables Slide 30 / 126

Sometimes, you will see only a frequency table, or only a tally table. They look like this: Grades Received on Friday's Spelling Test Grades Received on Friday's Spelling Test Tally Table Frequency Table Grade Frequency A 6 B 8 C 4

Tally and Frequency Tables

Slide 31 / 126

Both tables represent the same information. Grades Received on Friday's Spelling Test Grade Frequency A 6 B 8 C 4 Grades Received on Friday's Spelling Test

Tally and Frequency Tables Slide 32 / 126

Grades Received on Friday's Spelling Test 14 Does this table have a title?

Yes No

Slide 33 / 126

Grades Received on Friday's Spelling Test 15 How many students received C's?

Slide 34 / 126

Grades Received on Friday's Spelling Test 16 How many students received A's and B's?

Slide 35 / 126

Grades Received on Friday's Spelling Test 17 How many more B's than A's were there?

Slide 36 / 126

Class ______________'s Favorite Colors Color Tally Frequency Blue Red Pink Yellow Green Teacher Notes

Tally and Frequency Table

Slide 37 / 126

Creating a Tally and Frequency Table

Click to return to the table of contents

Slide 38 / 126

Let's gather some data and organize it in a tally and frequency table. Class 3B and 3D have snack time together. A messenger is sent

• ut to gather the milk from the cafeteria. The messenger has this

list: 23 chocolate milks 10 skim milks 13 strawberry milks 14 regular milks

Creating Tally and Frequency Tables Slide 39 / 126

This is the information we need to make a table: 23 chocolate milks 10 skim milks 13 strawberry milks 14 regular milks

Creating Tally and Frequency Tables Slide 40 / 126

First, draw your table. Then, write the title. Milk for Class 3B and 3D title

How to Make A Tally and Frequency Table Slide 41 / 126

3rd Step - Write the heading for the rows. Milk for Class 3B and 3D Type of Milk Tally Frequency Skim Strawberry Regular Chocolate

How to Make A Tally and Frequency Table Slide 42 / 126

4th Step - Fill in the table Milk for Class 3B and 3D

How to Make A Tally and Frequency Table

Slide 43 / 126

Now that we've organized our data into a table, the information is easier to read. We can answer many questions by using the information found in the table.

Tally and Frequency Tables Slide 44 / 126

18 Chocolate is the most popular flavored milk.

True False

Milk for Class 3B and 3D

Slide 45 / 126

19 How many more regular milks than skim milks did class 3B and 3D order? Milk for Class 3B and 3D

Slide 46 / 126

20 If class 3B ordered 7 strawberry milks, how many did class 3D order? Milk for Class 3B and 3D

Slide 47 / 126

21 How many milks were ordered altogether? Milk for Class 3B and 3D

Slide 48 / 126

Let's gather some new data and organize it in a table. Sam was given a bag of jelly beans. He pulled out several jelly beans at a time to fill some goody bags. First handful: 2 pink and 3 blue jelly beans Second handful: 4 yellow and 1 pink jelly beans Third handful: 7 blue and 10 yellow jelly beans Fourth handful: 9 pink and 11 blue jelly beans

Gathering Data

Slide 49 / 126

Color Tally Frequency Pink Blue Yellow Make your table. Give it a title and label the rows and columns. Jellybeans from Bag

Make Your Own Tally and Frequency Table Slide 50 / 126

Fill in the information. You need to add in order to find the total number

• f jelly beans of each color Sam pulled out of the bag.

Jellybeans from Bag

Make Your Own Tally and Frequency Table Slide 51 / 126

Let's answer some questions using the table we just made. Jellybeans from Bag

Make Your Own Tally and Frequency Table Slide 52 / 126

22 How many more pink jelly beans does Sam need to match the number of blue jelly beans? Jellybeans from Bag

Slide 53 / 126

23 How many more yellow jelly beans does Sam need to match the number of blue jelly beans? Jellybeans from Bag

Slide 54 / 126

24 If Sam is making 3 goody bags for his friends, and puts an equal number of blue jelly beans in each bag, how many does he put in each bag? Jellybeans from Bag

Slide 55 / 126

25 If Sam pulled out 12 more pink jelly beans, and he put an equal number of pink jelly beans into 3 goody bags, how many will go into each bag? Jellybeans from Bag

Slide 56 / 126

What's your class's favorite meal of the day? ___________'s Favorite Meal

Make A Tally and Frequency Table

Teacher Notes

Slide 57 / 126

Meal Tally Frequency Breakfast Lunch Dinner Your table should look like this: ________ Class's Favorite Meal

Make Your Own Tally and Frequency Table Slide 58 / 126

After you have made your table, answer some questions. Which meal is most popular in your class? How many more votes does the most popular meal have than the least popular? Are any meals equally liked?

Tally and Frequency Table Questions Slide 59 / 126

Pictographs

Click to return to the table of contents

Slide 60 / 126

A pictograph uses pictures to represent quantity. Favorite Ice Cream Flavor Flavor Number of Votes Key = 1 vote Vanilla Chocolate Strawberry Title Key

Pictograph Review

Slide 61 / 126

Flavor Number of Votes Vanilla Chocolate Strawberry Key = 1 vote Use the picture of the ice cream cone to show how many votes for each flavor.

Pictographs Slide 62 / 126

How many students liked chocolate? How many students do not like strawberry? How many more students like the most popular flavor than the least favorite? Tap each box for a question How many students liked vanilla best?

Pictograph Questions Slide 63 / 126

Video Games Owned by Students Name Number of Video Games Arianna Issac Hunter

= 3 Video Games Key

Let's use this pictograph to answer some questions.

Pictographs Slide 64 / 126

26 Who has the most video games? A Arianna B Issac C Hunter

Video Games Owned by Students

Name Number of Video Games Arianna Issac Hunter

= 3 Video Games Key

Slide 65 / 126

27 How many video games does Issac have? A 2 B 3 C 6 D 7

Video Games Owned by Students

Name Number of Video Games Arianna Issac Hunter

= 3 Video Games Key

Slide 66 / 126

28 Who has 6 less video games than Arianna? A Issac B Hunter C neither

• f them

Video Games Owned by Students

Name Number of Video Games Arianna Issac Hunter

= 3 Video Games Key

Slide 67 / 126

29 How many more video games does Hunter have than Arianna and Issac combined?

Video Games Owned by Students

Name Number of Video Games Arianna Issac Hunter

= 3 Video Games Key

Slide 68 / 126

30 If there was another picture of a video game controller in Arianna's row, how many more video games will she have than Issac?

Video Games Owned by Students

Name Number of Video Games Arianna Issac Hunter

= 3 Video Games Key

Slide 69 / 126

The Mother's Day Flower Sale Day Number of Flowers Sold Monday Tuesday Wednesday Thursday Friday Key = 10 flowers Let's use this pictograph to answer some questions.

Pictographs Slide 70 / 126

31 How much is half of a flower worth on the pictograph using the key below? = ?

Key = 10 flowers

Slide 71 / 126

32 How many more flowers were sold on Tuesday than Thursday?

A 2 B 15 C 20 D 1

The Mother's Day Flower Sale Day Number of Flowers Sold Monday Tuesday Wednesday Thursday

Friday

Key = 10 flowers

Slide 72 / 126

33 What is the most amount of flowers sold in one day?

The Mother's Day Flower Sale Day Number of Flowers Sold Monday Tuesday Wednesday Thursday

Friday

Key = 10 flowers

Slide 73 / 126

34 How many more flowers were sold on Friday than Monday?

The Mother's Day Flower Sale Day Number of Flowers Sold Monday Tuesday Wednesday Thursday

Friday

Key = 10 flowers

Slide 74 / 126

35 Gabby sold flowers on Monday and Tuesday. How many flowers did she sell?

The Mother's Day Flower Sale Day Number of Flowers Sold Monday Tuesday Wednesday Thursday

Friday

Key = 10 flowers

Slide 75 / 126

36 Brett sold flowers on Thursday. Shelby sold flowers on

• Friday. How many times more flowers did Shelby sell

than Brett?

The Mother's Day Flower Sale Day Number of Flowers Sold Monday

Tuesday

Wednesday

Thursday

Friday

Key = 10 flowers

Slide 76 / 126

37 Which two days together sold as many flowers as Thursday did? (Select two days)

A Monday B Tuesday C Wednesday D Friday

The Mother's Day Flower Sale Day Number of Flowers Sold Monday Tuesday Wednesday Thursday

Friday

Key = 10 flowers

Slide 77 / 126

38 What is the total number of flowers sold Monday through Friday?

The Mother's Day Flower Sale Day Number of Flowers Sold Monday Tuesday Wednesday Thursday

Friday

Key = 10 flowers

Slide 78 / 126

Creating a Pictograph

Click to return to the table of contents

Slide 79 / 126

39 To make a pictograph using the data in the table, how much should each picture be worth?

A 1 B 2 C 3 D 5

Grade Number of Students

Kindergarten

1st 2nd 3rd 4th 45 55 40 60 55

Slide 80 / 126

40 Jana gets a sticker for every five minutes she spends on her chores each day. She puts them on a picture graph as shown. Jana spends a total of 130 minutes doing chores this

• week. How many stars did she get on Friday?

From PARCC EOY sample test #9 non-calculator

Slide 81 / 126

Grade Number of Students

Kindergarten

1st 2nd 3rd 4th 45 55 40 60 55 Students at Lincoln School Grade Number of Students

Kindergarten

1st 3rd

4th 2nd

Key = 5 students

Pictographs Slide 82 / 126

In groups of 4 students make your own pictographs Step 1: Decide on a topic. For example: Number of pets Number of books read in a month Number of cans recycled Step 2: Create a table with the data.

Name Number of _________

Make Your Pictograph Slide 83 / 126

_______________________ Name Step 3: Make a key. Step 4: Give it a title, fill in all information, draw the pictures Key

Make Your Pictograph Slide 84 / 126

Step 5: Make up 3 questions about your pictograph. Step 6: Trade pictographs with another group and answer the questions.

Make Your Pictograph

Slide 85 / 126

Bar Graphs

Click to return to the table of contents

Slide 86 / 126

Bar Graph Review

There are two different kinds of bar graphs.

Slide 87 / 126

5 4 3 2 1

Red Green Yellow Blue

Colors

Number of colors Name of colors

Bar graphs will have: A title Labels on the y and x axis

Bar Graphs Slide 88 / 126

0 1 2 3 4 5 Red Green Yellow Blue Colors

Number of colors Name of colors

Bar Graphs Slide 89 / 126

Sometimes a graph will not show all numbers. What numbers are these?

Bar Graphs Slide 90 / 126

What are the numbers counting by? What numbers are these?

Bar Graphs

Slide 91 / 126

41 What number would be where the arrow is pointing?

Slide 92 / 126

42 What number would be where the arrow is pointing?

6 12 18 24 30

Slide 93 / 126

43 What number would be where the arrow is pointing?

6 12 18 24 30

Slide 94 / 126

44 What number would be where the arrow is pointing?

100 200 300 400 500

Slide 95 / 126

45 How many roses are there between the most and least colors?

Roses in the Garden

8 7 6 5 4 3 2 1

pink red purple yellow

Number of Flowers Color of Flowers

Answer

Slide 96 / 126

46 How many more baskets did Luke and Jay make than Matt?

14 12 10 8 6 4 2

Luke Drew Matt Jay

Players Number of Baskets Made

Basketball

Answer

Slide 97 / 126

47 How many more dolls does the toy store need to have an equal number of dolls and balls?

Toys in the Toy Store

10 20 30 40 50 60 70 dolls Number of Toys trucks balls games

Answer

Slide 98 / 126

48 Part A What is the total number of packages Mr. Conley delivered on Monday and Tuesday? A 300 B 340 C 350 D 360

• Mr. Conley delivers packages. The bar graph shows the

total number of packages he delivered on 5 days last week.

From PARCC EOY sample test #6A non-calculator

Slide 99 / 126

• Mr. Conley delivers packages. The bar graph shows the

total number of packages he delivered on 5 days last week. 49 Part B How many more packages did Mr. Conley deliver on Monday and Tuesday than he did on Wednesday and Thursday?

From PARCC EOY sample test #6B non-calculator

more packages

Slide 100 / 126

Creating a Bar Graph

Click to return to the table of contents

Slide 101 / 126

Let's make a bar graph! 14 12 10 8 6 4 2 Red Green Yellow Blue Orange Favorite Color

Making Your Own Bar Graph

Teacher Notes

Slide 102 / 126

Now we can use our bar graph to answer questions. How many students like yellow? How many students like red and blue the best? Which color is shown the most? Which color is shown the least? What is the difference between the most and the least?

Making Your Own Bar Graph

Slide 103 / 126

Let's take a survey to find out where our class would like to go for a class trip.

Museum See a Play Amusement Park

Name Tally Number Teacher Notes

Making Your Own Bar Graph Slide 104 / 126

Class Trip Places to Go Number of Votes

Slide 105 / 126

Which place has the most votes? Which place has the least votes? What is the difference between the most popular and least popular votes? How many students chose see a play and the amusement park?

Making Your Own Bar Graph Slide 106 / 126

Line Plots

Click to return to the table of contents

Slide 107 / 126

A Line Plot is a graph that shows number data along a number line. Number Line Data shown with x's Pets Title

Line Plots Slide 108 / 126

Use the x's to fill in the Line Plot.

Color Number in bag Red 5 Orange 2 Purple 4 Green 7 Yellow 8

Red Orange Purple Green Yellow Color of Candies X

Click for answer when done.

Candies in Bag

Line Plots

Slide 109 / 126

Color Number in bag Red 5 Orange 2 Purple 4 Green 7 Yellow 8

Red Orange Purple Green Yellow Candies in Bag X X X X X X X X X X X X X X X X X X X X X X X X Color of Candies X X

Line Plots Slide 110 / 126

50 There was an equal amount of threes and sixes rolled.

True False 1 2 3 4 5 6 Numbers on Dice X X X X X X X X X X X X X X X

Rolls of a Dice

X X X X X X

Slide 111 / 126

51 Was the number 6 rolled the most?

Yes No 1 2 3 4 5 6 Numbers on Dice X X X X X X X X X X X X X X X X X X Rolls of a Dice X X X

Slide 112 / 126

52 How many rolls of the dice landed on a number larger than 4? A 5 B 4 C 12 D 7

1 2 3 4 5 6 Numbers on Dice X X X X X X X X X X X X X X Rolls of a Dice X X X X X X X

Slide 113 / 126

53 How many times was the dice rolled?

1 2 3 4 5 6 Numbers on Dice X X X X X X X X X X X X X X X X X X Rolls of a Dice X X X

Slide 114 / 126

54 How many rolls landed on an even number?

1 2 3 4 5 6 Numbers on Dice X X X X X X X X X X X X X X X X X X Rolls of a Dice X X X

Slide 115 / 126

Creating a Line Plot

Click to return to the table of contents

Slide 116 / 126

We are going to make our own line plots. First, we are going to collect our data. We will be using our heads!

Making Your Own Line Plot Slide 117 / 126

Let's review how to read a tape measure. Place the fractions where they belong.

Making Your Own Line Plot Slide 118 / 126

After measuring each other's head, let's fill out our table.

Head Circumference Number of Students

Slide 119 / 126

Using the data we have collected, let's create our line plot . X Head Circumference

Slide 120 / 126

How many students are there with the smallest and largest head circumference? What head circumference had the most students? How many students have the smallest head circumference? Tap each head for a question. Can you create a question about the data we collected?

Making Your Own Line Plot

Slide 121 / 126

55 The number of visits with the most votes equals the votes for 1 visit.

True False 1 2 3 4 5 6 Number of Visits X X X X X X X X X X X X X X X X X X Lake Visits X X

Slide 122 / 126

56 Was there a total of 20 votes?

Yes No 1 2 3 4 5 6 Number of Visits X X X X X X X X X X X X X X X X X X Lake Visits X X

Slide 123 / 126

57 How many students went to the lake more than 5 times? A 5 B 4 C 1 D 15

1 2 3 4 5 6 Number of Visits X X X X X X X X X X X X X X X X X X Lake Visits X X

Slide 124 / 126

58 How many students made an odd number of visits?

1 2 3 4 5 6 Number of Visits X X X X X X X X X X X X X X X X X X Lake Visits X X

Slide 125 / 126

59 How many more students made more than 4 visits than the number of students who made 1 visit?

1 2 3 4 5 6 Number of Visits X X X X X X X X X X X X X X X X X X Lake Visits X X

Slide 126 / 126

60 Eric measures 10 oak leaves with a ruler. He records the lengths as shown. For each oak leaf, drag and drop an x onto the line plot to show the length. x

From PARCC EOY sample test #33 non-calculator