Understanding Fractions
What fraction shows 3 parts shaded out of 4 equal parts?
3/4
What fraction is exactly halfway between 0 and 1 on a number line?
1 / 2
Are 1/2 and 2/4 equal?
Draw a model to show your evidence!
Yes!
Which fraction is greater than 1?
A. 3/4
B. 5/4
C. 2/3
D. 1/2
B
What is the distance between X and Y on this number line?
X Y
l_________l___________l________l
0 1
A 1 / 3
B 2 / 3
C 3 / 2
D 3 / 1
A. 1 / 3
A pizza is cut into 8 equal slices. Mia eats 3 slices. What fraction of the pizza did Mia eat?
Draw a model AND write the fraction!
A number line is partitioned into 4 equal parts. What fraction is the X marking?
X
l______l________l_______l______l
0 1
2 / 4
Which fraction is larger?
3/4 or 2/4
3 / 4
The people at the party ate 12/4 of a cake. How many whole cakes did she eat?
The people ate 3 whole cakes at the party.
Draw and Model
1. Create an area model to show 3 / 8
*Check Model
A chocolate bar is divided into 6 equal pieces. Sam eats 2 pieces. Explain what the 2 and the 6 mean in the fraction 2/6
2 = pieces eaten (numerator)
6 = total equal pieces (denominator)
A number line shows
x
l_______l________l______l
0 1
Which fraction is represented by the X
2 / 3
Which fractions are equivalent? Choose all that apply.
A 1/2
B 1/3
C 2/4
D 4/8
A, C, and D
Draw and model 8 / 2
What many wholes is 8 / 2 equivalent to?
1. Check Model!
2. 4 wholes
Which fraction has a value of 2?
Draw a model and write the fraction to represent 2.
Check Model and Fraction!
A pan of brownies is cut into 8 equal pieces.
4 pieces are gone. What fraction of the brownies have been eaten?
Draw a model AND write the fraction
Show the model! - 4/8
Draw a number line that shows a number line partitioned into 6 equal parts.
What fraction is at the fourth tick mark?
1. must have the 0 and 1 labeled
2. must have the number line partitioned correctly
3. fraction: 4 /6
Two students say these fractions are equal: 3/6 and 1/2.
Are they correct? Explain.
Yes. Both represent half of the whole.
Which fraction is greater:
6 / 3 or 8 / 4
Both fractions are equivalent to 2 wholes!
Which fraction is represented by the distance from H to J?
H J
l_____l_____l______l_____l_____l____l
0 1
A. 1 / 3
B. 2 / 6
C. 3 / 6
D. 3 / 3
C. 3 / 6
Liam says 5/6 means five pieces out of six equal parts. Is Liam correct? Explain why.
Yes. The denominator (6) shows the whole is divided into 6 equal parts; the numerator (5) shows 5 of those parts.
Explain: Why is 3/4 farther from 0 on the number line than 1/4 on a number line?
because 3/4 represents more parts of the whole than 1/4
Student A says 2/3 of a pan of brownies is the same as 4/6 of the pan.
Question:
Is Student A correct? Explain by drawing a model
Yes. Both models show the same amount shaded.
Which fraction has a value of 4?
A. 1 / 4
B. 1 / 3
C. 4 / 4
D. 16 / 4
D. 16 / 4
Which fraction is represented by point M on this number line?
M
l___l___l___l___l___l___l___l___l
0 1/4 1/2 1
A 1 / 3
B 3 / 4
C 7 / 9
D 6 / 4
B. 3 / 4