4th grade · Math · Unit 9 of 15
Fractions
Halves to tenths
What your child practices
Reading and naming fractions from halves to tenths, counting by fractions, comparing them, and seeing 3 × 1/4 as three fourths.
Alaska content standards learning standard: 4.NF.3; 4.NF.4 · building fractions from unit fractions and multiplying a fraction by a whole number
How we explain it
Children can open this short lesson before they practice.
- Count by fractions like counting by 1s: 1/4, 2/4, 3/4.
- The bottom number tells the size of the parts.
- Repeated addition is multiplication: 3 groups of 2/5.
Example: Count by fourths: 1/4, 2/4, 3/4, what comes next? The top number grows by 1. 4/4 is one whole. Answer: 4/4
Fractions in Alaska
In the Alaska content standards, this is unit 9 of 15 in 4th grade Math, after Polygons & Perimeter and before Angles & Area.
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.
Source: Alaska Department of Education and Early Development
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
Count by fourths. What comes next?
1/4, 2/4,
- 3/4
- 4/4
- 2/5
3/4
Hint: Each step adds one more equal part.
Question 2
Count by tenths. What comes next?
1/10, 2/10, 3/10, 4/10,
- 5/10
- 4/11
- 6/10
5/10
Hint: Each step adds one more equal part.
Question 3
Group A shares 1 pizza among 2 children. Group B shares 2 pizzas among 3 children. Which group's children get more each?
🍕- Group A
- Group B
Group B
Hint: Each child's share is 1/2 for Group A and 2/3 for Group B. Compare the two fractions.
Question 4
In 1/4, what does the 1 tell you?
- how many of the equal parts we have
- how big the whole is
- how many equal parts make a whole
how many of the equal parts we have
Hint: The numerator is the top number. It counts the parts we have.
Question 5
What is this repeated addition as a multiplication?
1/8 + 1/8 + 1/8
- 3 × 1/8 = 3/24
- 3 × 1/8 = 3/8
- 3 × 1/8 = 1/11
3 × 1/8 = 3/8
Hint: Each unit fraction is one equal part. Adding n of them gives n parts.
Question 6
What fraction of the shape is shaded?
- 3/4
- 2/4
- 1/4
2/4
Hint: The bottom number counts the equal parts. The top number counts the shaded parts.