Slide 1 / 126 Slide 2 / 126 3rd Grade Graphs 2015-11-03 www.njctl.org Slide 3 / 126 Slide 4 / 126 Graphs Unit Topics Data & Graphs Tally and Frequency Tables Creating a Tally and Frequency Table Pictographs Creating a Pictograph Bar Graphs Creating a Bar Graph Line Plots Creating a Line Plot Click on the topic to go to that section Data and Graphs Click to return to the table of contents Slide 5 / 126 Data The collection of information. Slide 6 / 126 Types of Graphs/Charts Bar Graph Pictograph Pie Chart Usually gathered by observation, questioning or measurement. Tally and Often organized in graphs or charts. Frequency Tables Line Graph Line Plot
Slide 7 / 126 Slide 8 / 126 Data 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? Tally and Frequency Tables Click to return to the table of contents Slide 9 / 126 Frequency and Tallies Frequency: how often a piece of data appears Tally: a way to keep count using lines 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 Tallies Notice, that for the amount of five, the last line is drawn across the other four lines. = 7 How would you write 8? 9? How about 10? Slide 11 / 126 Tallies Slide 12 / 126 Tallies Let's practice writing some numbers in tally marks: 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: 3: 7: 9: 11: 15: 23: 30: How would you write 14 in tally marks? What about 24?
Slide 13 / 126 Slide 14 / 126 1 What number is this:? 2 What number is this:? Slide 15 / 126 Slide 16 / 126 3 What number is this:? 4 What number is this? Slide 17 / 126 Slide 18 / 126 5 How would you write 12 in tally marks? 6 What is 32 in tally marks? A B C D A B C D
7 What is 7 in tally marks? Slide 19 / 126 Slide 20 / 126 Tally and Frequency Tables A B C Here is an example of a tally and a frequency table: D Slide 21 / 126 Tally and Frequency Tables Slide 22 / 126 Tally and Frequency Tables Here is an example of a tally and a frequency table: Here is an example of a tally and a frequency table: Slide 23 / 126 8 Does the table below show information about the pets of Class 3B? True False Pets of Class 3B Slide 24 / 126 9 The students of 3B have more dogs than cats. True False Pets of Class 3B
Slide 25 / 126 Slide 26 / 126 10 How many dogs do the students of 3B have? 11 How many hamsters do the students of 3B have? Pets of Class 3B Pets of Class 3B Slide 27 / 126 Slide 28 / 126 12 How many cats and dogs do the students of 3B have altogether? 13 How many more cats than dogs do the students of 3B have? Pets of Class 3B Pets of Class 3B Slide 29 / 126 Tally and Frequency Tables Class 3B welcomes a new student. The new student has 4 cats. How will the table change? Pets of Class 3B Slide 30 / 126 Tally and Frequency Tables 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 Grade Frequency A 6 B 8 C 4 Tally Table Frequency Table
Slide 31 / 126 Tally and Frequency Tables Slide 32 / 126 14 Does this table have a title? Both tables represent the same information. Yes Grades Received on Friday's Spelling Test Grades Received on Friday's Spelling Test No Grades Received on Friday's Spelling Test Grade Frequency A 6 B 8 C 4 Slide 33 / 126 Slide 34 / 126 15 How many students received C's? 16 How many students received A's and B's? Grades Received on Friday's Spelling Test Grades Received on Friday's Spelling Test Slide 35 / 126 Slide 36 / 126 17 How many more B's than A's were there? Tally and Frequency Table Grades Received on Friday's Spelling Test Class 's Favorite Colors Color Tally Frequency Blue Red Pink Yellow Green Teacher Notes
Slide 37 / 126 Slide 38 / 126 Creating Tally and Frequency Tables Let's gather some data and organize it in a tally and frequency table. Creating a Tally and Frequency Table Class 3B and 3D have snack time together. A messenger is sent out to gather the milk from the cafeteria. The messenger has this list: 23 chocolate milks 10 skim milks 13 strawberry milks 14 regular milks Click to return to the table of contents Slide 39 / 126 Creating Tally and Frequency Tables Slide 40 / 126 How to Make A Tally and Frequency Table This is the information we need to make a table: 23 chocolate milks 10 skim milks 13 strawberry milks 14 regular milks title First, draw your table. Then, write the title. Milk for Class 3B and 3D Slide 41 / 126 Slide 42 / 126 How to Make A Tally and Frequency Table How to Make A Tally and Frequency Table 3rd Step - Write the heading for the rows. 4th Step - Fill in the table Milk for Class 3B and 3D Type of Milk Tally Frequency Skim Strawberry Regular Chocolate Milk for Class 3B and 3D
Slide 43 / 126 Tally and Frequency Tables Slide 44 / 126 18 Chocolate is the most popular flavored milk. True False 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. Milk for Class 3B and 3D Slide 45 / 126 Slide 46 / 126 19 How many more regular milks than skim milks did class 3B and 3D order? 20 If class 3B ordered 7 strawberry milks, how many did class 3D order? Milk for Class 3B and 3D Milk for Class 3B and 3D Slide 47 / 126 Slide 48 / 126 21 How many milks were ordered altogether? Gathering Data Let's gather some new data and organize it in a table. Milk for Class 3B and 3D 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
Slide 49 / 126 Make Your Own Tally and Frequency Table Slide 50 / 126 Make Your Own Tally and Frequency Table Make your table. Give it a title and label the rows and columns. Jellybeans from Bag Color Tally Frequency Pink Blue Yellow Fill in the information. You need to add in order to find the total number of jelly beans of each color Sam pulled out of the bag. Jellybeans from Bag Slide 51 / 126 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? Let's answer some questions using the table we just made. Jellybeans from Bag Jellybeans from Bag Slide 53 / 126 23 How many more yellow jelly beans does Sam need to match the number of blue jelly beans? 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 Jellybeans from Bag
Slide 55 / 126 Slide 56 / 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? Make A Tally and Frequency Table Jellybeans from Bag What's your class's favorite meal of the day? 's Favorite Meal Teacher Notes Slide 57 / 126 Slide 58 / 126 Make Your Own Tally and Frequency Table Tally and Frequency Table Questions Your table should look like this: After you have made your table, answer some questions. Class's Favorite Meal Which meal is most popular in your class? Meal Tally Frequency Breakfast Lunch Dinner How many more votes does the most popular meal have than the least popular? Are any meals equally liked? Slide 59 / 126 Slide 60 / 126 Pictograph Review Pictographs A pictograph uses pictures to represent quantity. Title Favorite Ice Cream Flavor = 1 vote Flavor Number of Votes Vanilla Chocolate Click to return to the table of contents Strawberry
Slide 61 / 126 Slide 62 / 126 Pictographs Pictograph Questions Use the picture of the ice cream cone to show how many votes for each flavor. = 1 vote How many students liked vanilla best? Flavor Vanilla Chocolate Number of Votes How many students liked chocolate? How many students do not like strawberry? Strawberry How many more students like the most popular flavor than the least favorite? Tap each box for a question Slide 63 / 126 Pictographs Slide 64 / 126 26 Who has the most video games? Name Arianna Issac Video Games Owned by Students Number of Video Games A B C Arianna Issac Hunter Name Arianna Video Games Owned by Students Number of Video Games Hunter Issac Hunter Let's use this pictograph to answer some questions. = 3 Video Games = 3 Video Games Slide 65 / 126 Slide 66 / 126 27 How many video games does Issac have? 28 Who has 6 less video games than Arianna? A 2 A Issac B 3 C 6 D 7 Name Arianna Video Games Owned by Students Number of Video Games B Hunter C neither of them Name Video Games Owned by Students Number of Video Games Issac Arianna Hunter Issac Hunter = 3 Video Games = 3 Video Games
Slide 67 / 126 29 How many more video games does Hunter have than Arianna and Issac combined? 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? Name Video Games Owned by Students Number of Video Games Video Games Owned by Students Arianna Issac Hunter Name Arianna Issac Number of Video Games = 3 Video Games Hunter = 3 Video Games Day Monday Tuesday Wednesday Thursday Friday Slide 69 / 126 Pictographs The Mother's Day Flower Sale Number of Flowers Sold Slide 70 / 126 31 How much is half of a flower worth on the pictograph using the key below? =? = 10 flowers Let's use this pictograph to answer some questions. = 10 flowers Slide 71 / 126 32 How many more flowers were sold on Tuesday than Thursday? Slide 72 / 126 33 What is the most amount of flowers sold in one day? A 2 B 15 C 20 D 1 Day Monday Tuesday Wednesday The Mother's Day Flower Sale Number of Flowers Sold Day Monday Tuesday Wednesday The Mother's Day Flower Sale Number of Flowers Sold Thursday Thursday Friday Friday = 10 flowers = 10 flowers
Slide 73 / 126 34 How many more flowers were sold on Friday than Monday The Mother's Day Flower Sale Slide 74 / 126 35 Gabby sold flowers on Monday and Tuesday. How many flowers did she sell? Day Monday Tuesday Wednesday Thursday Friday Number of Flowers Sold Day Monday Tuesday Wednesday Thursday The Mother's Day Flower Sale Number of Flowers Sold Friday = 10 flowers = 10 flowers Slide 75 / 126 Slide 76 / 126 36 Brett sold flowers on Thursday. Shelby sold flowers on Friday. How many times more flowers did Shelby sell than Brett? Day Monday Tuesday Wednesday Thursday Friday The Mother's Day Flower Sale Number of Flowers Sold 37 Which two days together sold as many flowers as Thursday did? (Select two days) A Monday B Tuesday C Wednesday D Friday Day Monday Tuesday Wednesday Thursday Friday The Mother's Day Flower Sale Number of Flowers Sold = 10 flowers = 10 flowers Slide 77 / 126 Slide 78 / 126 38 What is the total number of flowers sold Monday through Friday? The Mother's Day Flower Sale Day Monday Tuesday Number of Flowers Sold Creating a Pictograph Wednesday Thursday Friday = 10 flowers 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 Kindergarten 1st 2nd 3rd 4th Number of Students 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 Grade Kindergarten 1st 2nd 3rd 4th Number of Students 45 55 40 60 55 = 5 students Grade Kindergarten 1st 2nd 3rd Slide 81 / 126 Pictographs Students at Lincoln School Number of Students Slide 82 / 126 Make Your Pictograph 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 4th Step 3: Make a key. Name Slide 83 / 126 Make Your Pictograph Step 4: Give it a title, fill in all information, draw the pictures Slide 84 / 126 Make Your Pictograph Step 5: Make up 3 questions about your pictograph. Step 6: Trade pictographs with another group and answer the questions.
Slide 85 / 126 Slide 86 / 126 Bar Graph Review Bar Graphs There are two different kinds of bar graphs. Click to return to the table of contents Bar graphs will have: Slide 87 / 126 Bar Graphs Slide 88 / 126 Bar Graphs Colors A title Red Number of colors 5 4 3 2 1 Colors Name of colors Green Yellow Blue 0 1 2 3 4 5 Number of colors 0 Labels on the y and x axis Red Green Yellow Blue Name of colors Slide 89 / 126 Bar Graphs Sometimes a graph will not show all numbers. Slide 90 / 126 Bar Graphs What are the numbers counting by? What numbers are these? What numbers are these?
Slide 91 / 126 Slide 92 / 126 41 What number would be where the arrow is pointing? 42 What number would be where the arrow is pointing? 30 24 18 12 6 Slide 93 / 126 Slide 94 / 126 43 What number would be where the arrow is pointing? 44 What number would be where the arrow is pointing? 30 24 18 12 6 100 200 300 400 500 Slide 95 / 126 45 How many roses are there between the most and least colors? Roses in the Garden Slide 96 / 126 46 How many more baskets did Luke and Jay make than Matt? Basketball 14 12 Number of Flowers 8 7 6 5 4 3 2 Answer Number of Baskets Made 10 8 6 4 2 Answer 1 0 pink red purple yellow 0 Luke Drew Matt Jay Players Color of Flowers
Slide 97 / 126 47 How many more dolls does the toy store need to have an equal number of dolls and balls? Slide 98 / 126 Mr. Conley delivers packages. The bar graph shows the total number of packages he delivered on 5 days last week. Toys in the Toy Store dolls trucks balls games 0 10 20 30 40 50 60 70 Number of Toys Answer 48 Part A What is the total number of packages Mr. Conley delivered on Monday and Tuesday? A 300 C 350 Slide 99 / 126 B 340 D 360 From PARCC EOY sample test #6A non-calculator Slide 100 / 126 Mr. Conley delivers packages. The bar graph shows the total number of packages he delivered on 5 days last week. Creating a Bar Graph 49 Part B How many more packages did Mr. Conley deliver on Monday and Tuesday than he did on Wednesday and Thursday? more packages From PARCC EOY sample test #6B non-calculator Click to return to the table of contents Slide 101 / 126 Slide 102 / 126 Making Your Own Bar Graph Let's make a bar graph! Favorite Color 14 12 10 8 6 4 Teacher Notes Making Your Own Bar Graph Now we can use our bar graph to answer questions. How many students like yellow? Which color is shown the most? How many students like red and blue the best? Which color is shown the least? 2 Red Green Yellow Blue Orange What is the difference between the most and the least?
Slide 103 / 126 Making Your Own Bar Graph Slide 104 / 126 Class Trip Let's take a survey to find out where our class would like to go for a class trip. Museum Name Tally Number See a Play Amusement Park Teacher Notes Number of Votes Places to Go Slide 105 / 126 Slide 106 / 126 Making Your Own Bar Graph Which place has the most votes? Which place has the least votes? What is the difference between the most popular and least popular votes? Line Plots How many students chose see a play and the amusement park? Click to return to the table of contents Slide 107 / 126 Line Plots Slide 108 / 126 Line Plots Use the x's to fill in the Line Plot. A Line Plot is a graph that shows number data along a number line. Pets Title Data shown with x's Color Number in bag Red 5 Orange 2 Purple 4 Green 7 Yellow 8 Candies in Bag Number Line Red Orange Purple Green Yellow Color of Candies Click for answer when done.
Slide 109 / 126 Line Plots Slide 110 / 126 50 There was an equal amount of threes and sixes rolled. Color Number in bag Red 5 Orange 2 Purple 4 Green 7 Yellow 8 Candies in Bag Red Orange Purple Green Yellow True False Rolls of a Dice 1 2 3 4 5 6 Numbers on Dice Color of Candies Slide 111 / 126 51 Was the number 6 rolled the most? Yes No Rolls of a Dice 1 2 3 4 5 6 Numbers on Dice 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 Rolls of a Dice 1 2 3 4 5 6 Numbers on Dice Slide 113 / 126 53 How many times was the dice rolled? Slide 114 / 126 54 How many rolls landed on an even number? Rolls of a Dice 1 2 3 4 5 6 Numbers on Dice Rolls of a Dice 1 2 3 4 5 6 Numbers on Dice
Slide 115 / 126 Slide 116 / 126 Making Your Own Line Plot We are going to make our own line plots. First, we are going to collect our data. We will be using our heads! Creating a Line Plot Click to return to the table of contents Slide 117 / 126 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 Let's review how to read a tape measure. Place the fractions where they belong. Slide 119 / 126 Using the data we have collected, let's create our line plot. Head Circumference Slide 120 / 126 Making Your Own Line Plot How many students have the smallest head circumference? Tap each head for a question. What head circumference had the most students? How many students are there with the smallest and largest head circumference? Can you create a question about the data we collected?
Slide 121 / 126 55 The number of visits with the most votes equals the votes for 1 visit. True Lake Visits Slide 122 / 126 56 Was there a total of 20 votes? Yes No Lake Visits False 1 2 3 4 5 6 Number of Visits 1 2 3 4 5 6 Number of Visits Slide 123 / 126 Slide 124 / 126 57 How many students went to the lake more than 5 times? A 5 B 4 C 1 D 15 Lake Visits 1 2 3 4 5 6 Number of Visits 58 How many students made an odd number of visits? Lake Visits 1 2 3 4 5 6 Number of Visits Slide 125 / 126 59 How many more students made more than 4 visits than the number of students who made 1 visit? Slide 126 / 126 60 Eric measures 10 oak leaves with a ruler. He records the lengths as shown. Lake Visits 1 2 3 4 5 6 For each oak leaf, drag and drop an x onto the line plot to show the length. x Number of Visits From PARCC EOY sample test #33 non-calculator