We included HMH Into Math Grade 3 Answer Key PDF Module 13 Lesson 3 Represent and Name Fractions of a Whole to make students experts in learning maths.
HMH Into Math Grade 3 Module 13 Lesson 3 Answer Key Represent and Name Fractions of a Whole
I Can use a fraction to name an equal part of a whole or an equal part of a group.
Spark Your Learning
Miranda draws a circular design for a playground game. She colors 1 part yellow and 3 parts blue. All of the parts are the same size. What fraction of her game circle is blue?
Show the fraction of Miranda’s game circle that is blue.
Answer:
We have cut a circle into 4 parts. Each part is of the same size as the other 3 parts. Since the circle is divided into 4 equal parts, each part is called one-fourth or 1/4th. Moreover, we call 1/4th of anything a quarter.
The above-given question asked what is the fraction of Miranda’s game circle that is blue.
The number of blue parts is 3
Each part is divided equally and the fraction is 1/4th for each part.
Now calculation:
=1/4+1/4+1/4
=1+1+1/4
=3/4
Therefore, the fraction of her game circle blue is 3/4.
Turn and Talk What fraction of Miranda’s game circle is not blue? How do you know?
Answer: 1/4
There are two colours mentioned blue and yellow.
Specifically mentioned that circle is not blue means we have to find out the fraction for the yellow part.
Already given that in 4 equal parts of the circle there is one yellow part. So the fraction of Miranda’s game circle is not blue is 1/4.
Each part of the fraction is 1/4.
Therefore, the part of yellow is 1/4.
Build Understanding
Question 1.
May draws a hopscotch game that has 6 equal parts. She uses pink chalk to number the first 2 squares and green chalk to number the rest of the squares. What fraction of the squares have pink numbers?
Show May’s hopscotch game.
A. How many equal parts are in the whole?
Answer: There are 6 equal parts
In the above diagram, the total number of boxes were mentioned.
The total number of boxes in hopscotch game=6
The question asked the number of equal parts in the whole. So, count the total number of boxes.
The equal parts in the whole are 6.
B. How many equal parts are being counted?
Answer:
In the above-given question, two colours are mentioned blue and pink.
Of course, there are 6 parts in the whole.
But in that 6 parts, the first two parts are coloured pink and the remaining boxes are coloured are green.
So if we count the equal parts by coloured parts then the calculation will be:
The pink boxes=2
The whole parts=6
The pink boxes in fraction=2/6=1/3.
The blue boxes=4
The blue boxes in fraction=4/6=2/3.
C. What fraction represents the squares with pink numbers?
Answer:
In the above-given question, two colours are mentioned blue and pink.
Of course, there are 6 parts in the whole.
But in that 6 parts, the first two parts are coloured pink and the remaining boxes are coloured are green. Here asked only pink part.
So if we count the equal parts by coloured parts then the calculation will be:
The pink boxes=2
The whole parts=6
The pink boxes in fraction=2/6=1/3.
Question 2.
For this hopscotch game, the green squares represent what fraction of the whole? Write the fraction.
A. What is the denominator of the fraction?
Answer:
Denominator definition: In math, a denominator can be defined as the bottom number in a fraction that shows the number of equal parts an item is divided into. It is the divisor of a fraction. A denominator can never be a zero.
In the above diagram, there are 8 equal parts.
so, the denominator will be 8
Each part is divided into 1/8
The question asked the fraction of the green square.
The number of green squares= 4
The total number of squares=8
The fraction can be written as 4/8
Question A asked the denominator of the fraction.
So the denominator is 8.
B. What is the numerator of the fraction?
Answer:
A numerator is the part of a fraction above the line, which signifies the number to be divided by another number below the line.
Each part is divided into 1/8th
The question asked the fraction of the green square.
The number of green squares= 4
The total number of squares=8
The fraction can be written as 4/8
Question B asked the numerator of the fraction.
according to the definition, the numerator is represented above the line. So the numerator is 4.
C. What is the fraction?
Answer:
A numerator is the part of a fraction above the line, which signifies the number to be divided by another number below the line.
Denominator definition: In math, a denominator can be defined as the bottom number in a fraction that shows the number of equal parts an item is divided into. It is the divisor of a fraction. A denominator can never be a zero.
Each part is divided into 1/8th
The question asked the fraction of the green square.
The number of green squares= 4
The total number of squares=8
The fraction can be written as 4/8
Question 3.
Tomi is playing Six Green Marbles. To win the game, Tomi must capture all 6 green marbles.
A. Complete the fractions to show each round of the game.
Answer:
The total number of marbles is 6.
These 6 will be placed in the denominator.
Here the fraction of green marbles were asked.
After round 1 Tomi has 1 green marble. So the fraction is 1/6
After round 2 he has 2 green marbles, the fraction is 2/6
After round 3 he has 3 green marbles, the fraction is 3/6
After round 4 he has 4 green marbles, the fraction is 4/6
B. If the pattern continues, what fraction of the 6 green marbles will Tomi have after Round 6? What fraction does this represent? Explain.
Answer: If this pattern continues like this,
After round 5 he has 5 green marbles then the fraction is 5/6
After round 6 he has 6 green marbles then the fraction will be 6/6.
The fraction of 6/6 is 1 which is the whole part of the representation. This will be the result.
He will get the whole part of the green marbles.
This pattern will give the result after the completion of round 6.
Turn and Talk How are the fractions for each round of Tomi’s game related to unit fractions?
Answer:
Explanation:
– Unit fractions are fractions with a 1 as their numerator which means on top of the fraction.
– The denominator is the number on the bottom of the fraction, which tells us how many parts are we are dividing into.
– The larger the denominator, the more parts we divide into smaller which gives the fraction.
– The smaller the denominator, the fewer parts we divide into larger the resulting fraction.
– We can compare the sizes of each unit fraction using a fraction wall.
– In the above question, after round 1 the Tomy has 1 green marble out of 6 marbles.
– So, the unit fraction will be 1/6.
– Here the denominator is big so we divide the more parts.
– After around 2 Tomy has 2/6=1/3.
Check Understanding
Question 1.
The red sections represent what fraction of the playground spinner? Write the fraction in words and numbers.
__________ sixths 
Answer:
The total number of sections in a spinner=6
The number of red sections a spinner have=2
A numerator is the part of a fraction above the line, which signifies the number to be divided by another number below the line.
Denominator definition: In math, a denominator can be defined as the bottom number in a fraction that shows the number of equal parts an item is divided into. It is the divisor of a fraction. A denominator can never be a zero.
According to the definitions, we write the fractions.
Therefore, infractions we can write as 2/6
In words, we can write as two-sixths.
On My Own
Question 2.
Look for Repeated Reasoning Julie colors four spinners. Complete the fractions to name the part of each spinner that is red.
Describe a pattern in the fractions for the spinners.
Answer:
The pattern illustration:
– In the whole part of a circle, we divided into 4 equal parts. In that, there is a red colour
– In the first circle, one part is red out of 4 equal parts so the fraction is 1/4
– In the second circle, two parts are red in colour out of 4 parts so the fraction is 2/4
– In the third circle, three parts are red in colour out of 4 parts so the fraction is 3/4
– In the second circle, four parts are red in colour out of 4 parts so the fraction is 4/4
Question 3.
Write the fraction that names each equal part. Then write a fraction to name the shaded part of the whole.
Each equal part is .
is shaded.
Answer: 5/8
The total number of boxes=8
the number of boxes which are shaded=5
Each equal part is 1/8
A numerator is the part of a fraction above the line, which signifies the number to be divided by another number below the line.
Denominator definition: In math, a denominator can be defined as the bottom number in a fraction that shows the number of equal parts an item is divided into. It is the divisor of a fraction. A denominator can never be a zero.
According to the definitions, we write the fractions.
Therefore, the shaded parts infractions we can write as 5/8.
Question 4.
Shade four of the equal parts. Write the fraction in words and numbers.
___________
Answer:
The total number of boxes=6
the number of boxes which are shaded=4
Each equal part is 1/6
A numerator is the part of a fraction above the line, which signifies the number to be divided by another number below the line.
Denominator definition: In math, a denominator can be defined as the bottom number in a fraction that shows the number of equal parts an item is divided into. It is the divisor of a fraction. A denominator can never be a zero.
According to the definitions, we write the fractions.
Therefore, the shaded parts infractions we can write as 4/6.
Question 5.
Cross-Curricular Connection: Music Each space between the lines on this musical scale identifies a musical note. The four basic notes are shown: F, A, C, and E. Circle each A note. What fraction of the notes on the scale are A notes? Explain.
Answer:
The total number of dots=8
Specifically, the question A has asked.
The number of dots in basic A is 2
Infractions we can write as 2/8
In unit fractions, we can write as 1/4.
I’m in a Learning Mindset!
What questions can I ask a classmate that can help me understand how to represent and name fractions?
Answer: