2nd Grade Fractions Worksheets

In Sheet type, pick thirds for Common Core or eighths for Texas, then press Print for shares named in words.

12 shapes. Name the shares: halves or fourths? Sheet 8VI9PL, with its answer key.

Name the shares: halves or fourths?

Name Date Score / 12

Each shape is cut into equal shares. Count the shares, then write what they are called.

Word bank: halves · fourths

  1. 1._____________
  2. 2._____________
  3. 3._____________
  4. 4._____________
  5. 5._____________
  6. 6._____________
  7. 7._____________
  8. 8._____________
  9. 9._____________
  10. 10._____________
  11. 11._____________
  12. 12._____________

Sheet 8VI9PL · Made at homeroomtools.com

Answer key. Name the shares: halves or fourths?

  1. 1.halves
  2. 2.fourths (or quarters)
  3. 3.halves
  4. 4.fourths (or quarters)
  5. 5.halves
  6. 6.fourths (or quarters)
  7. 7.halves
  8. 8.fourths (or quarters)
  9. 9.halves
  10. 10.fourths (or quarters)
  11. 11.halves
  12. 12.halves

Sheet 8VI9PL · Made at homeroomtools.com

Next step See the other 2nd grade math sheetsRead quarter past and half past on a clock

How it works

Print 2nd grade fractions worksheets that stay where grade 2 stays. Pupils name equal shares of circles, squares and rectangles in words, with no 1/2 to read yet. Pick a sheet in Sheet type, press Make a new sheet for new problems, then Print.

Read the full guide

Thirds or eighths? Your standards decide

Common Core 2.G.3 has second graders cut circles and rectangles into halves, thirds and fourths. Texas 2.3(A) names halves, fourths and eighths, with no thirds until grade 3. Each name in Sheet type says which shares it uses, so pick thirds for a Common Core class and eighths for a Texas one. The page opens on Name the shares: halves or fourths?, which fits both.

Why every sheet is in words

Grade 2 names shares in words in both texts, so pupils here write "a fourth of" or "three thirds", and so does the key. Clear Answer key to skip it. If you want fractions worksheets grade 2 with sums like 1/2 + 1/4, that is grade 5 work under the Common Core.

  • Start with Equal shares or unequal shares? A child who accepts four uneven strips as fourths has counted, not shared.
  • Thirds: yes or no? mixes in shapes with 3 unequal shares, so pupils must check size as well as count.
  • Fold before you print: a paper rectangle folded in half twice opens into fourths, and a third fold gives eighths.

Questions and answers

Does 2nd grade teach thirds or eighths?

It depends on your state. Common Core 2.G.3 lists halves, thirds and fourths. The Texas standards 2.3(A) to 2.3(D) list halves, fourths and eighths, and thirds arrive there in grade 3. Halves and fourths are in both, so start there.

Should second graders write 1/2 and 1/4?

Neither standards text asks for it. Common Core 2.G.3 and Texas 2.3(A) have pupils describe shares in words. The written fraction arrives in grade 3, in Common Core 3.NF.1 and Texas 3.3(C). Showing the symbol early is your call.

Is a quarter the same as a fourth?

Yes. Common Core 1.G.3 uses fourths and quarters for the same share, and the key here prints fourths (or quarters). A half has only one name. On a clock, quarter past is a fourth of the way around.

All 13 sheet types

Equal shares or not 4

  • Eighths: yes or no? A circle cut like a pizza into 8 equal slices shows eighths. A rectangle cut into 8 pieces of different sizes does not, and a rectangle cut into 6 equal pieces has equal shares but too few of them. Pupils write yes or no. Eighths are in Texas 2.3(D) and are not in Common Core grade 2.
  • Equal shares or unequal shares? A circle cut into 4 parts shows fourths only if all 4 parts are the same size. Pupils circle each shape cut into equal shares and cross out each shape cut unfairly. No share is named on this sheet, so it suits the Common Core set and the Texas set alike.
  • Halves and fourths: yes or no? Does the shape show fourths? A square cut into 4 equal triangles does. A square cut into 4 strips of different widths does not, and neither does a square cut into 3 equal parts. Pupils write yes or no. Texas 2.3(D) calls these examples and non-examples.
  • Thirds: yes or no? A rectangle cut into 3 equal strips shows thirds. A circle cut by 2 evenly spaced straight lines does not: the middle part is bigger than the two outside parts. Pupils write yes or no under each shape. Thirds are in Common Core 2.G.3 and are not in the Texas grade 2 standards.
Show all 13 sheet types (9 more)

Naming and shading shares 7

  • Finish the sentence: half of, a fourth of, an eighth of One share of a rectangle cut into eighths is an eighth of the rectangle. Pupils finish sentences such as: The shaded share is ___ of the circle. Texas 2.3(A) asks pupils to name the parts using words, and a full sentence shows what the share is a share of.
  • Finish the sentence: half of, a third of, a fourth of One share of a circle cut into thirds is a third of the circle. Pupils finish sentences such as: The shaded share is ___ of the rectangle. Common Core 2.G.3 lists these phrases, half of and a third of, next to the share names.
  • Name the shares: halves or fourths? A circle cut into 4 equal shares shows fourths, and each share is a fourth of the circle. Pupils write halves or fourths under each shape. Quarters means the same as fourths, and the key prints both words. Halves and fourths are the two share names Common Core and Texas both teach in grade 2.
  • Name the shares: halves, fourths or eighths? A circle cut into 8 equal shares shows eighths. Pupils write halves, fourths or eighths under each shape, the three names Texas 2.3(A) lists. Each share in this set is the one before it cut in half: a half, then a fourth, then an eighth.
  • Name the shares: halves, thirds or fourths? A rectangle cut into 3 equal shares shows thirds. Pupils write halves, thirds or fourths under each shape, the three names Common Core 2.G.3 lists. Count the shares, not the cuts: 2 cuts across a rectangle make 3 shares.
  • Shade one share: half, fourth or eighth Shade an eighth of the circle: color 1 of its 8 equal shares. Any one share is right, so the key shades the first share and says so. The instruction is printed in words, the way Texas 2.3(A) names the parts.
  • Shade one share: half, third or fourth Shade a third of the rectangle: color 1 of its 3 equal shares. Any one share is right, so the key shades the first share and says so. Reading a third of and then coloring it is naming in reverse.

One whole, and counting past it 2

  • One whole: two halves, four fourths, eight eighths A rectangle cut into eighths with every share shaded is eight eighths, and eight eighths is the whole rectangle. Pupils count the shares and finish: The whole rectangle is ___. Texas 2.3(C) asks pupils to recognize how many parts it takes to equal one whole.
  • One whole: two halves, three thirds, four fourths A circle cut into thirds with every share shaded is three thirds, and three thirds is the whole circle. Pupils count the shares and finish: The whole circle is ___. Common Core 2.G.3 asks pupils to describe the whole as two halves, three thirds, four fourths.

How this list was compiled: Own list of sheet types. Standards were read in the full texts in September 2026: Common Core State Standards for Mathematics, https://learning.ccsso.org/wp-content/uploads/2022/11/Math_Standards1.pdf (1.G.3, 2.G.2, 2.G.3, 2.OA.4, 3.NF.1); Texas Essential Knowledge and Skills, 19 TAC chapter 111, https://tea.texas.gov/laws-and-rules/sboe-rules-tac/sboe-tac-currently-effect/ch111a.pdf (1.6(G), 1.6(H), 2.3(A) to 2.3(D), 2.8(E), 2.9(F), 3.3(B), 3.3(C), 3.3(E), 3.3(F)). The naming of halves and of fourths or quarters was checked against https://en.wikipedia.org/wiki/Fraction. The claim in Thirds: yes or no? that two evenly spaced parallel cuts leave a circle with a bigger middle part was worked out from the circular segment formula. Licence: own work

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