2nd grade · Math · Unit 8 of 18
Fractions of a Whole
Equal parts: halves, thirds, fourths and more
What your child practices
A fraction names equal parts of one whole. Children read unit fractions such as 1/4 and 1/8, learn that more equal parts means smaller parts, and name fractions like 3/4 from a picture. All wholes are cut into 10 or fewer equal parts.
New York State Learning Standards learning standard: NY-2.G.3 · splitting circles and rectangles into halves, thirds and fourths
How we explain it
Children can open this short lesson before they practice.
- The bottom number tells how many equal parts.
- The top number tells how many parts we mean.
- 1/4 is one of four equal parts.
Example: A pizza has 3 equal slices. What fraction is one slice? There are 3 equal parts. One slice is 1 of 3. Answer: 1/3
Fractions of a Whole in New York
In the New York State Learning Standards, this is unit 8 of 18 in 2nd grade Math, after Numbers to 1000 and before Skip Counting.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
What fraction of the shape is shaded?
- 7/8
- 1/6
- 1/7
1/7
Hint: Count all the equal parts: 7. Then count the shaded ones: 1.
Question 2
3/7 of a bar is shaded. What fraction is NOT shaded?
- 3/7
- 7/11
- 4/7
4/7
Hint: 7 parts in all, and 3 are shaded. The rest are 4.
Question 3
2/3 of a bar is shaded. What fraction is NOT shaded?
- 1/3
- 1/4
- 1/2
1/3
Hint: 3 parts in all, and 2 are shaded. The rest are 1.
Question 4
1/8 means one of how many equal parts?
- 9
- 8
- 7
8
Hint: The bottom number tells how many equal parts make the whole.
Question 5
What fraction of the shape is shaded?
- 2/8
- 1/8
- 1/9
1/8
Hint: Count all the equal parts: 8. Then count the shaded ones: 1.
Question 6
Which fraction is one fifth?
- 1/5
- 1/2
- 1/7
1/5
Hint: One fifth is 1 of 5 equal parts.