McGraw Hill My Math Grade 3 Chapter 12 Answer Key Represent and Interpret Data

All the solutions provided in McGraw Hill My Math Grade 3 Answer Key PDF Chapter 12 Represent and Interpret Data will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 3 Answer Key Chapter 12 Represent and Interpret Data

Essential Question

How do we obtain useful information from a set of data?
Answer:
With the use of tally charts, pictographs, and picture graphs, we may present the collected data and obtain useful information from it.

Am I Ready

Write the number represented by the tally marks.

Question 1.
McGraw Hill My Math Grade 3 Chapter 12 Answer Key Represent and Interpret Data 1
Answer:
Each tally mark represents count of 1, therefore 3 is the tally mark for the given scenario.

Question 2.
McGraw Hill My Math Grade 3 Chapter 12 Answer Key Represent and Interpret Data 2
Answer:
Each tally mark represents count of 1 and the diagonal tally on a group of 4 represents the count of 5. In the above scenario we have a group of 5 and 1 tally. Therefore, 5+1= 6 are the tally marks.

Question 3.
McGraw Hill My Math Grade 3 Chapter 12 Answer Key Represent and Interpret Data 3
Answer:
Each tally mark represents count of 1 and the diagonal tally on a group of 4 represents the count of 5. In the above data we have two groups of 5. Therefore, 5+5=10 is the tally mark.

Question 4.
Mrs. Breeze surveyed her students to find their favorite pets. The results are shown. How many students voted for hamster?
McGraw Hill My Math Grade 3 Chapter 12 Answer Key Represent and Interpret Data 4
Answer:
From the given data, we can say that 7 students voted for hamster.

Question 5.
The data shows the activities students enjoy in Physical Education class. How many more students voted for jump rope than kickball?
McGraw Hill My Math Grade 3 Chapter 12 Answer Key Represent and Interpret Data 5
Answer:
Number of students voted for jump rope = 5
Number of students voted for  kickball = 2
Therefore, the number of students who voted for jump rope than kickball will be 5-2=3

Identify a pattern. Then find the missing numbers.

Question 6.
2, 4, 6, 8, _____, _____
Answer:
First number: 2
Second number: 2+2=4
Third number: 4+2=6
Fourth number: 6+2=8
Hence, we can say that the pattern is followed by adding 2 to the previous answer.
Fifth number: 8+2=10
Sixth number: 10+2=12
Therefore, the pattern will be 2, 4, 6, 8, 10, 12

Question 7.
5, 10, 15, 20, _____, _____
Answer:
First number: 5
Second number: 5+5=10
Third number: 10+5=15
Fourth number: 15+5=20
Hence, we can say that the pattern is followed by adding 5 to the previous answer.
Fifth number: 20+5=25
Sixth number: 25+5=30
Therefore, the pattern will be 5, 10, 15, 20, 25, 30

Question 8.
10, 20, 30, 40, _____, _____
Answer:
First number: 10
Second number: 10+10=20
Third number: 20+10=30
Fourth number: 30+10=40
Hence, we can say that the pattern is followed by adding 10 to the previous answer.
Fifth number: 40+10=50
Sixth number: 50+10=60
Therefore, the pattern will be 10, 20, 30, 40, 50, 60

Question 9.
100, 200, 300, _____, _____
Answer:
First number: 100
Second number: 100+100=200
Third number: 200+100=300
Fourth number: 300+100=400
Hence, we can say that the pattern is followed by adding 100 to the previous answer.
Fifth number: 400+100=500
Sixth number: 500+100=600
Therefore, the pattern will be 100, 200, 300, 400, 500, 600

My Math Words

Review Vocabulary
compare
symbol

Making Connections
Use one of the review vocabulary words to label the chart below.
McGraw Hill My Math Grade 3 Chapter 12 Answer Key Represent and Interpret Data 6
Use the information in the chart to compare camping and fishing. Write a description. Then use >, <, or =.
Answer:
McGraw-Hill-My-Math-Grade-3-Chapter-12-Answer-Key-Represent-and-Interpret-Data-6

My Vocabulary Cards

McGraw Hill My Math Grade 3 Chapter 12 Answer Key Represent and Interpret Data 7

Ideas for Use

  • During this school year, create a separate stack of cards for key math verbs, such as analyze and interpret. These verbs will help you in your problem solving.
  • Draw or write examples for each card. Be sure your examples are different from what is shown on each card.

A graph that compares data by using bars of different lengths or heights to show the values.
Explain why the bars in the bar graph shown on this card are different heights.
Answer:
Bar graph uses bars of different lengths to display the given data. As the frequency/length of data will be different for each scenario, the height of the bars varies.

To read and study the data on a graph.
Use the word analyze in a sentence. Be sure to use the word in a way that shows its meaning.
Answer:
Please analyze this data carefully.

A table that shows the number of times each result occurs.
The root word of frequency is frequent. Use it in a sentence.
Answer:
We made frequent trips to town.

Collected information or facts.
How could you collect the data used to make the graph shown on this card?
Answer:
A survey should be conducted among different people and then data is collected.

To explain what a graph shows.
Describe an example of when you need to interpret information at school.
Answer:
Example: Collecting favorite food information from different students of a class.
Ask your classmates about their favorite lunch,make a chart of different food items they mentioned.Mention your friend’s name under their favorite food item and then preapre a frequency and tally chart.

One of two equal parts of one inch.
Describe when you might want estimate to the half inch.
Answer:
Two equal parts of an inch will be equal to half inch.I would like to estiamte the length of my pencil which measures 1 and half inch to 2 inch.
It is reasonable as the nearest measurement to 1 and half inch is 2 inch.

A graph that uses Xs above a number line to show how often a data value occurs.
How would you need to adjust the line plot on the front of this card to show that two students read 7 books?
Answer:
We need to mark the line plot with 7 ‘x’ above 2 students as shown below.
McGraw-Hill-My-Math-Grade-3-Chapter-12-Answer-Key-Represent-and-Interpret-Data-7

Tells how many each symbol represents.
Why might a key be used to represent more than one item?
Answer:
When the frequency of data is more than 1, we use key to represent the large data in simple way.
For example in the vocabulary chart shown above one square block means 3 persons.

McGraw Hill My Math Grade 3 Chapter 12 Answer Key Represent and Interpret Data 8

Ideas for Use

  • Design a crossword puzzle. Use the definitions for the words as the clues.
  • Use the blank cards to write a word from a previous chapter that you would like to review.

A graph that uses different pictures to represent each tally.
What could you graph using a picture graph?
Answer:
I would graph favorite sports of my classmates.

A graph that uses the same symbol to represent more than one tally.
Does a pictograph need a scale? Explain.
Answer:
Pictograph and scale are two different ways of representing data. Similar data can be represented in two different ways. The pictograph uses pictures to represent the data while the scale uses bars of different lengths to represent it.

A set of numbers that represents the data in a graph.
Describe another subject in which you use scale.
Answer:
The favorite food data collected from the classmates can be used in scale graph.

One of four equal parts of one inch.
Quarter means “one-fourth.” How does this relate to a quarter coin?
Answer:
Quarter coin is similar to quarter, it means one-fourth or one quarter of a dollar.

A chart that uses tally marks to show the results of data collection.
Look at the front of the card. How many total erasers, bottles of glue, pencils, and scissors were sold?
Answer:
Number of eraser sold=5
Number of bottles of glue sold=10
Number of pencils sold=8
Number of scissors sold=2
Therefore, the total items sold will be 5+10+8+2=25

To collect data by asking people the same question.
Write a question for a survey you might take of friends at a party.
Answer:
I would ask my friends about their favorite activity.
Hi John, can you tell me your favorite activity?

A mark made to keep track and display data recorded from a survey.
Make tally marks to represent 14 votes.
Answer:
McGraw-Hill-My-Math-Grade-3-Chapter-12-Answer-Key-Represent-and-Interpret-Data img_1

My Foldable

Follow the steps on the back to make your Foldable.
McGraw Hill My Math Grade 3 Chapter 12 Answer Key Represent and Interpret Data 9
McGraw Hill My Math Grade 3 Chapter 12 Answer Key Represent and Interpret Data 10
McGraw Hill My Math Grade 3 Chapter 12 Answer Key Represent and Interpret Data 11

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