Assessment Practice MA.3.FR.2.1
Authored by Alex Meads
Mathematics
3rd Grade
MA covered
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1.
MATH RESPONSE QUESTION
1 min • 1 pt
Which fraction does the point on the number line represent?
Mathematical Equivalence
OFF
Answer explanation
Ordering Fractions in Detail
1. Understanding Fractions:
Fractions show parts of a whole. For example, in the fraction 2/5, the top number (2) tells us how many parts we have, and the bottom number (5) tells us how many equal parts the whole is divided into.
2. Ordering Fractions with the Same Numerator:
When fractions have the same top number (numerator), you compare them based on their bottom numbers (denominator).
Example: Let’s compare 1/3 and 1/5.
Here, both fractions have a numerator of 1.
Since 3 is less than 5, we can say that 1/3 is larger than 1/5.
Conclusion: 1/3 > 1/5.
3. Visualizing with a Number Line:
You can draw a number line to help visualize the fractions:
Mark 0 and 1 on the line.
Divide the space into equal parts based on the denominators. For 1/3, divide it into 3 parts. For 1/5, divide it into 5 parts.
You will see that 1/3 is further to the right than 1/5, confirming that 1/3 is larger.
4. Ordering Fractions with the Same Denominator:
When fractions have the same bottom number (denominator), you compare them based on their top numbers (numerator).
Example: Let’s compare 2/5 and 4/5.
Both fractions have a denominator of 5.
Since 4 is greater than 2, it follows that 4/5 is larger than 2/5.
Conclusion: 4/5 > 2/5.
5. Visualizing with a Number Line:
Again, you can draw a number line:
Mark 0 and 1.
Divide the segment between 0 and 1 into 5 equal parts.
You will see that 2/5 is two parts from 0 and 4/5 is four parts from 0. This shows that 4/5 is further to the right than 2/5.
6. Ordering Multiple Fractions:
If you have more than two fractions, you can use the same methods to order them.
Example: Order 1/4, 1/3, and 1/5.
All have the same numerator (1).
Compare the denominators: 4, 3, and 5.
The smallest denominator (4) means 1/4 is the smallest fraction.
The next smallest is 1/3, and the largest is 1/5.
Order: 1/4 < 1/5 < 1/3.
Tags
MA.3.FR.2.1
2.
MULTIPLE SELECT QUESTION
1 min • 2 pts
Select all the fractions that are greater than 6/8.
6/5
5/8
6/10
6/6
7/8
Answer explanation
Ordering Fractions in Detail
1. Understanding Fractions:
Fractions show parts of a whole. For example, in the fraction 2/5, the top number (2) tells us how many parts we have, and the bottom number (5) tells us how many equal parts the whole is divided into.
2. Ordering Fractions with the Same Numerator:
When fractions have the same top number (numerator), you compare them based on their bottom numbers (denominator).
Example: Let’s compare 1/3 and 1/5.
Here, both fractions have a numerator of 1.
Since 3 is less than 5, we can say that 1/3 is larger than 1/5.
Conclusion: 1/3 > 1/5.
3. Visualizing with a Number Line:
You can draw a number line to help visualize the fractions:
Mark 0 and 1 on the line.
Divide the space into equal parts based on the denominators. For 1/3, divide it into 3 parts. For 1/5, divide it into 5 parts.
You will see that 1/3 is further to the right than 1/5, confirming that 1/3 is larger.
4. Ordering Fractions with the Same Denominator:
When fractions have the same bottom number (denominator), you compare them based on their top numbers (numerator).
Example: Let’s compare 2/5 and 4/5.
Both fractions have a denominator of 5.
Since 4 is greater than 2, it follows that 4/5 is larger than 2/5.
Conclusion: 4/5 > 2/5.
5. Visualizing with a Number Line:
Again, you can draw a number line:
Mark 0 and 1.
Divide the segment between 0 and 1 into 5 equal parts.
You will see that 2/5 is two parts from 0 and 4/5 is four parts from 0. This shows that 4/5 is further to the right than 2/5.
6. Ordering Multiple Fractions:
If you have more than two fractions, you can use the same methods to order them.
Example: Order 1/4, 1/3, and 1/5.
All have the same numerator (1).
Compare the denominators: 4, 3, and 5.
The smallest denominator (4) means 1/4 is the smallest fraction.
The next smallest is 1/3, and the largest is 1/5.
Order: 1/4 < 1/5 < 1/3.
Tags
MA.3.FR.2.1
3.
MULTIPLE SELECT QUESTION
1 min • 2 pts
Select all the true statements.
1/5 < 1/6
3/4 < 3/5
5/8 = 5/6
1/3 > 1/4
3/5 > 3/6
Answer explanation
Ordering Fractions in Detail
1. Understanding Fractions:
Fractions show parts of a whole. For example, in the fraction 2/5, the top number (2) tells us how many parts we have, and the bottom number (5) tells us how many equal parts the whole is divided into.
2. Ordering Fractions with the Same Numerator:
When fractions have the same top number (numerator), you compare them based on their bottom numbers (denominator).
Example: Let’s compare 1/3 and 1/5.
Here, both fractions have a numerator of 1.
Since 3 is less than 5, we can say that 1/3 is larger than 1/5.
Conclusion: 1/3 > 1/5.
3. Visualizing with a Number Line:
You can draw a number line to help visualize the fractions:
Mark 0 and 1 on the line.
Divide the space into equal parts based on the denominators. For 1/3, divide it into 3 parts. For 1/5, divide it into 5 parts.
You will see that 1/3 is further to the right than 1/5, confirming that 1/3 is larger.
4. Ordering Fractions with the Same Denominator:
When fractions have the same bottom number (denominator), you compare them based on their top numbers (numerator).
Example: Let’s compare 2/5 and 4/5.
Both fractions have a denominator of 5.
Since 4 is greater than 2, it follows that 4/5 is larger than 2/5.
Conclusion: 4/5 > 2/5.
5. Visualizing with a Number Line:
Again, you can draw a number line:
Mark 0 and 1.
Divide the segment between 0 and 1 into 5 equal parts.
You will see that 2/5 is two parts from 0 and 4/5 is four parts from 0. This shows that 4/5 is further to the right than 2/5.
6. Ordering Multiple Fractions:
If you have more than two fractions, you can use the same methods to order them.
Example: Order 1/4, 1/3, and 1/5.
All have the same numerator (1).
Compare the denominators: 4, 3, and 5.
The smallest denominator (4) means 1/4 is the smallest fraction.
The next smallest is 1/3, and the largest is 1/5.
Order: 1/4 < 1/5 < 1/3.
Tags
MA.3.FR.2.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which shows the fractions ordered from least to greatest?
3/6, 3/8, 3/10
4/10, 4/8, 4/6
2/8, 5/8, 3/8
5/10, 3/10, 2/10
Answer explanation
Ordering Fractions in Detail
1. Understanding Fractions:
Fractions show parts of a whole. For example, in the fraction 2/5, the top number (2) tells us how many parts we have, and the bottom number (5) tells us how many equal parts the whole is divided into.
2. Ordering Fractions with the Same Numerator:
When fractions have the same top number (numerator), you compare them based on their bottom numbers (denominator).
Example: Let’s compare 1/3 and 1/5.
Here, both fractions have a numerator of 1.
Since 3 is less than 5, we can say that 1/3 is larger than 1/5.
Conclusion: 1/3 > 1/5.
3. Visualizing with a Number Line:
You can draw a number line to help visualize the fractions:
Mark 0 and 1 on the line.
Divide the space into equal parts based on the denominators. For 1/3, divide it into 3 parts. For 1/5, divide it into 5 parts.
You will see that 1/3 is further to the right than 1/5, confirming that 1/3 is larger.
4. Ordering Fractions with the Same Denominator:
When fractions have the same bottom number (denominator), you compare them based on their top numbers (numerator).
Example: Let’s compare 2/5 and 4/5.
Both fractions have a denominator of 5.
Since 4 is greater than 2, it follows that 4/5 is larger than 2/5.
Conclusion: 4/5 > 2/5.
5. Visualizing with a Number Line:
Again, you can draw a number line:
Mark 0 and 1.
Divide the segment between 0 and 1 into 5 equal parts.
You will see that 2/5 is two parts from 0 and 4/5 is four parts from 0. This shows that 4/5 is further to the right than 2/5.
6. Ordering Multiple Fractions:
If you have more than two fractions, you can use the same methods to order them.
Example: Order 1/4, 1/3, and 1/5.
All have the same numerator (1).
Compare the denominators: 4, 3, and 5.
The smallest denominator (4) means 1/4 is the smallest fraction.
The next smallest is 1/3, and the largest is 1/5.
Order: 1/4 < 1/5 < 1/3.
Tags
MA.3.FR.2.1
5.
DROPDOWN QUESTION
1 min • 1 pt
Which is the correct symbol to compare the fractions?
5/12 (a) 7/12
>
=
Answer explanation
Ordering Fractions in Detail
1. Understanding Fractions:
Fractions show parts of a whole. For example, in the fraction 2/5, the top number (2) tells us how many parts we have, and the bottom number (5) tells us how many equal parts the whole is divided into.
2. Ordering Fractions with the Same Numerator:
When fractions have the same top number (numerator), you compare them based on their bottom numbers (denominator).
Example: Let’s compare 1/3 and 1/5.
Here, both fractions have a numerator of 1.
Since 3 is less than 5, we can say that 1/3 is larger than 1/5.
Conclusion: 1/3 > 1/5.
3. Visualizing with a Number Line:
You can draw a number line to help visualize the fractions:
Mark 0 and 1 on the line.
Divide the space into equal parts based on the denominators. For 1/3, divide it into 3 parts. For 1/5, divide it into 5 parts.
You will see that 1/3 is further to the right than 1/5, confirming that 1/3 is larger.
4. Ordering Fractions with the Same Denominator:
When fractions have the same bottom number (denominator), you compare them based on their top numbers (numerator).
Example: Let’s compare 2/5 and 4/5.
Both fractions have a denominator of 5.
Since 4 is greater than 2, it follows that 4/5 is larger than 2/5.
Conclusion: 4/5 > 2/5.
5. Visualizing with a Number Line:
Again, you can draw a number line:
Mark 0 and 1.
Divide the segment between 0 and 1 into 5 equal parts.
You will see that 2/5 is two parts from 0 and 4/5 is four parts from 0. This shows that 4/5 is further to the right than 2/5.
6. Ordering Multiple Fractions:
If you have more than two fractions, you can use the same methods to order them.
Example: Order 1/4, 1/3, and 1/5.
All have the same numerator (1).
Compare the denominators: 4, 3, and 5.
The smallest denominator (4) means 1/4 is the smallest fraction.
The next smallest is 1/3, and the largest is 1/5.
Order: 1/4 < 1/5 < 1/3.
Tags
MA.3.FR.2.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which fraction does the point on the number line represent?
3/8
6/8
6/7
6/9
Answer explanation
Ordering Fractions in Detail
1. Understanding Fractions:
Fractions show parts of a whole. For example, in the fraction 2/5, the top number (2) tells us how many parts we have, and the bottom number (5) tells us how many equal parts the whole is divided into.
2. Ordering Fractions with the Same Numerator:
When fractions have the same top number (numerator), you compare them based on their bottom numbers (denominator).
Example: Let’s compare 1/3 and 1/5.
Here, both fractions have a numerator of 1.
Since 3 is less than 5, we can say that 1/3 is larger than 1/5.
Conclusion: 1/3 > 1/5.
3. Visualizing with a Number Line:
You can draw a number line to help visualize the fractions:
Mark 0 and 1 on the line.
Divide the space into equal parts based on the denominators. For 1/3, divide it into 3 parts. For 1/5, divide it into 5 parts.
You will see that 1/3 is further to the right than 1/5, confirming that 1/3 is larger.
4. Ordering Fractions with the Same Denominator:
When fractions have the same bottom number (denominator), you compare them based on their top numbers (numerator).
Example: Let’s compare 2/5 and 4/5.
Both fractions have a denominator of 5.
Since 4 is greater than 2, it follows that 4/5 is larger than 2/5.
Conclusion: 4/5 > 2/5.
5. Visualizing with a Number Line:
Again, you can draw a number line:
Mark 0 and 1.
Divide the segment between 0 and 1 into 5 equal parts.
You will see that 2/5 is two parts from 0 and 4/5 is four parts from 0. This shows that 4/5 is further to the right than 2/5.
6. Ordering Multiple Fractions:
If you have more than two fractions, you can use the same methods to order them.
Example: Order 1/4, 1/3, and 1/5.
All have the same numerator (1).
Compare the denominators: 4, 3, and 5.
The smallest denominator (4) means 1/4 is the smallest fraction.
The next smallest is 1/3, and the largest is 1/5.
Order: 1/4 < 1/5 < 1/3.
Tags
MA.3.FR.2.1
7.
HOTSPOT QUESTION
1 min • 1 pt
Select all the number lines where the point represents 1/2.
Answer explanation
Ordering Fractions in Detail
1. Understanding Fractions:
Fractions show parts of a whole. For example, in the fraction 2/5, the top number (2) tells us how many parts we have, and the bottom number (5) tells us how many equal parts the whole is divided into.
2. Ordering Fractions with the Same Numerator:
When fractions have the same top number (numerator), you compare them based on their bottom numbers (denominator).
Example: Let’s compare 1/3 and 1/5.
Here, both fractions have a numerator of 1.
Since 3 is less than 5, we can say that 1/3 is larger than 1/5.
Conclusion: 1/3 > 1/5.
3. Visualizing with a Number Line:
You can draw a number line to help visualize the fractions:
Mark 0 and 1 on the line.
Divide the space into equal parts based on the denominators. For 1/3, divide it into 3 parts. For 1/5, divide it into 5 parts.
You will see that 1/3 is further to the right than 1/5, confirming that 1/3 is larger.
4. Ordering Fractions with the Same Denominator:
When fractions have the same bottom number (denominator), you compare them based on their top numbers (numerator).
Example: Let’s compare 2/5 and 4/5.
Both fractions have a denominator of 5.
Since 4 is greater than 2, it follows that 4/5 is larger than 2/5.
Conclusion: 4/5 > 2/5.
5. Visualizing with a Number Line:
Again, you can draw a number line:
Mark 0 and 1.
Divide the segment between 0 and 1 into 5 equal parts.
You will see that 2/5 is two parts from 0 and 4/5 is four parts from 0. This shows that 4/5 is further to the right than 2/5.
6. Ordering Multiple Fractions:
If you have more than two fractions, you can use the same methods to order them.
Example: Order 1/4, 1/3, and 1/5.
All have the same numerator (1).
Compare the denominators: 4, 3, and 5.
The smallest denominator (4) means 1/4 is the smallest fraction.
The next smallest is 1/3, and the largest is 1/5.
Order: 1/4 < 1/5 < 1/3.
Tags
MA.3.FR.2.1
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