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4th grade · Math · Unit 8 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.

Texas Essential Knowledge and Skills (TEKS) teks student expectation: 4.3(A); 4.3(B) · building fractions from unit fractions and decomposing them in more than one way

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 Texas

In the Texas Essential Knowledge and Skills (TEKS), this is unit 8 of 17 in 4th grade Math, after Fractions and before Patterns & Tables.

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: Texas Education Agency (TEA)

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

    What fraction of the shape is shaded?

    • 2/3
    • 1/3

  2. Question 2

    Count by sixths. What comes next?

    1/6, 2/6, 3/6, 4/6, 5/6,

    • 6/6
    • 5/7
    • 7/6

  3. Question 3

    Count by fifths. What comes next?

    1/5, 2/5, 3/5, 4/5,

    • 4/6
    • 5/5
    • 6/5

  4. Question 4

    What is this repeated addition as a multiplication?

    1/4 + 1/4 + 1/4

    • 3 × 1/4 = 3/4
    • 3 × 1/4 = 3/12
    • 3 × 1/4 = 1/7

  5. Question 5

    Which fraction is equal to 3/4?

    • 3/8
    • 6/8
    • 4/8

  6. Question 6

    What fraction of the shape is shaded?

    • 1/5
    • 4/5
    • 2/5

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