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4th grade · Math · Unit 9 of 17

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.

New York State Learning Standards learning standard: NY-4.NF.3; NY-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.

  1. Count by fractions like counting by 1s: 1/4, 2/4, 3/4.
  2. The bottom number tells the size of the parts.
  3. 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 New York

In the New York State Learning Standards, this is unit 9 of 17 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: New York State Education Department (NYSED)

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    In 1/4, what does the 1 tell you?

    • how big the whole is
    • how many of the equal parts we have
    • how many equal parts make a whole

  2. Question 2

    Which is greater, 1/8 or 1/10?

    • 1/10
    • 1/8

  3. Question 3

    Which fraction is equal to 3/4?

    • 4/8
    • 3/8
    • 6/8

  4. Question 4

    What fraction of the shape is shaded?

    • 4/10
    • 8/10
    • 3/10

  5. Question 5

    Count by fourths. What comes next?

    1/4, 2/4,

    • 2/5
    • 3/4
    • 4/4

  6. Question 6

    Count by thirds. What comes next?

    1/3, 2/3,

    • 4/3
    • 3/3
    • 2/4

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