Year 2 Fractions: check-up and quiz

Key words. The bottom number is how many equal parts there are. The top number is how many parts are shaded.

Method. Count the equal parts underneath. Count the shaded parts on top.

1. Count the equal parts. All the parts are the same size. There are 4.
   4 equal parts
2. Count the shaded parts. 3 of the 4 equal parts are shaded.
   3 shaded
3. Write the fraction. The shaded parts go on top. All the equal parts go underneath. That is three quarters.
   3/4

Check. Say it in words: three quarters. ✓

Watch out. The bottom number counts all the equal parts. The top number counts only the shaded parts.

Key words. The bottom number is how many equal parts there are. The top number is how many parts are shaded.

Method. Count the equal parts underneath. Count the shaded parts on top.

1. Count the equal parts. All the parts are the same size. There are 3.
   3 equal parts
2. Count the shaded parts. 1 of the 3 equal parts are shaded.
   1 shaded
3. Write the fraction. The shaded parts go on top. All the equal parts go underneath. That is one third.
   1/3

Check. Say it in words: one third. ✓

Watch out. The bottom number counts all the equal parts. The top number counts only the shaded parts.

Key words. One quarter means 1 of the 4 equal parts.

Method. Share into 4 equal pieces, then take the ones you need.

1. Share the 12 cm into 4 equal pieces. Every piece needs the same number.
   12 ÷ 4 = 3
2. Find what is in one piece. Each piece has 3 cm.
   3 in one piece
3. Take one piece. One piece is one quarter of the whole.
   3

Check. Put the pieces back together: 3 + 3 + 3 + 3 = 12. ✓

Watch out. Make every piece the same size before you count. Then count the pieces you need.

Key words. One third means 1 of the 3 equal parts.

Method. Share into 3 equal plates, then take the ones you need.

1. Share the 9 balls into 3 equal plates. Every plate needs the same number.
   9 ÷ 3 = 3
2. Find what is in one plate. Each plate has 3 balls.
   3 in one plate
3. Take one plate. One plate is one third of the whole.
   3

Check. Put the plates back together: 3 + 3 + 3 = 9. ✓

Watch out. Make every plate the same size before you count. Then count the plates you need.

Key words. Two quarters means 2 of the 4 equal parts.

Method. Share into 4 equal plates, then take the ones you need.

1. Share the 8 sweets into 4 equal plates. Every plate needs the same number.
   8 ÷ 4 = 2
2. Find what is in one plate. Each plate has 2 sweets.
   2 in one plate
3. Take 2 plates. two quarters means 2 of the 4 equal plates.
   2 × 2 = 4
4. Write the answer.
   4

Check. Put the plates back together: 2 + 2 + 2 + 2 = 8. ✓

Watch out. Make every plate the same size before you count. Then count the plates you need.

Key words. The word of tells us which amount to share.

Method. Share the number into equal groups. Then take the groups the fraction asks for.

1. Read the fraction. 1/2 means one half.
   1/2 of 6
2. Share the number into equal groups. Share 6 into 2 equal groups. Each group has 3.
   6 ÷ 2 = 3
3. Take the groups we need. We need 1 of the 2 groups.
   3
4. Write the sentence.
   1/2 of 6 = 3

Check. Share 6 into 2 equal groups, then add 1 of them: 3. ✓

Watch out. The bottom number says how many equal groups to make. The top number says how many to take.

Method. Compare the amounts. If the shaded amounts are the same, the fractions are equal.

1. Look at 2/4. 2 of the 4 equal parts is two quarters.
   2/4
2. Look at 1/2. 1 of the 2 equal parts is one half.
   1/2
3. Compare the amounts. The same amount shaded means the fractions are equal.
   2/4 = 1/2
4. Decide.
   Yes. 2/4 is the same as 1/2.

Check. Make both amounts with equal parts and compare them side by side. ✓

Watch out. More parts does not always mean a bigger amount. Compare the shaded amounts.

Method. Look at each picture and find the one with one quarter shaded.

1. Look at A. Count the equal parts and the shaded parts.
   A: 4 equal parts, 2 shaded
2. Look at B. Count the equal parts and the shaded parts.
   B: 4 equal parts, 1 shaded
3. Look at C. Count the equal parts and the shaded parts.
   C: 3 equal parts, 1 shaded
4. Find the picture that matches. We want the picture with one quarter shaded.
   Matches: B
5. Write the answer.
   B

Check. A and C do not match. ✓

Watch out. Count the equal parts first, then the shaded parts.

Key words. Three quarters means 3 of the 4 equal parts.

Method. Share into 4 equal plates, then take the ones you need.

1. Share the 20 cubes into 4 equal plates. Every plate needs the same number.
   20 ÷ 4 = 5
2. Find what is in one plate. Each plate has 5 cubes.
   5 in one plate
3. Take 3 plates. three quarters means 3 of the 4 equal plates.
   5 × 3 = 15
4. Write the answer.
   15

Check. Put the plates back together: 5 + 5 + 5 + 5 = 20. ✓

Watch out. Make every plate the same size before you count. Then count the plates you need.

Method. Share 12 into 4 equal plates. Each plate is one quarter.

1. Share the 12 pears. Share 12 into 4 equal plates.
   12 ÷ 4 = 3
2. Check one plate. Each plate has 3, not 6.
   3 in one plate
3. Decide. Ali has shared into the wrong number of plates.
   No. 1/4 of 12 is 3.

Check. Four plates of 3 make 12: 3 + 3 + 3 + 3 = 12. ✓

Watch out. Four equal plates are needed for a quarter.

Key words. The bottom number is how many equal parts there are. The top number is how many parts are shaded.

Method. Count the equal parts underneath. Count the shaded parts on top.

1. Count the equal parts. All the parts are the same size. There are 3.
   3 equal parts
2. Count the shaded parts. 1 of the 3 equal parts are shaded.
   1 shaded
3. Write the fraction. The shaded parts go on top. All the equal parts go underneath. That is one third.
   1/3

Check. Say it in words: one third. ✓

Watch out. The bottom number counts all the equal parts. The top number counts only the shaded parts.

Key words. The bottom number is how many equal parts there are. The top number is how many parts are shaded.

Method. Count the equal parts underneath. Count the shaded parts on top.

1. Count the equal parts. All the parts are the same size. There are 4.
   4 equal parts
2. Count the shaded parts. 2 of the 4 equal parts are shaded.
   2 shaded
3. Write the fraction. The shaded parts go on top. All the equal parts go underneath. That is two quarters.
   2/4

Check. Say it in words: two quarters. ✓

Watch out. The bottom number counts all the equal parts. The top number counts only the shaded parts.

Key words. One quarter means 1 of the 4 equal parts.

Method. Share into 4 equal plates, then take the ones you need.

1. Share the 8 apples into 4 equal plates. Every plate needs the same number.
   8 ÷ 4 = 2
2. Find what is in one plate. Each plate has 2 apples.
   2 in one plate
3. Take one plate. One plate is one quarter of the whole.
   2

Check. Put the plates back together: 2 + 2 + 2 + 2 = 8. ✓

Watch out. Make every plate the same size before you count. Then count the plates you need.

Key words. One third means 1 of the 3 equal parts.

Method. Share into 3 equal plates, then take the ones you need.

1. Share the 6 cherries into 3 equal plates. Every plate needs the same number.
   6 ÷ 3 = 2
2. Find what is in one plate. Each plate has 2 cherries.
   2 in one plate
3. Take one plate. One plate is one third of the whole.
   2

Check. Put the plates back together: 2 + 2 + 2 = 6. ✓

Watch out. Make every plate the same size before you count. Then count the plates you need.

Key words. The word of tells us which amount to share.

Method. Share the number into equal groups. Then take the groups the fraction asks for.

1. Read the fraction. 1/2 means one half.
   1/2 of 10
2. Share the number into equal groups. Share 10 into 2 equal groups. Each group has 5.
   10 ÷ 2 = 5
3. Take the groups we need. We need 1 of the 2 groups.
   5
4. Write the sentence.
   1/2 of 10 = 5

Check. Share 10 into 2 equal groups, then add 1 of them: 5. ✓

Watch out. The bottom number says how many equal groups to make. The top number says how many to take.

Key words. Three quarters means 3 of the 4 equal parts.

Method. Share into 4 equal pieces, then take the ones you need.

1. Share the 12 cm into 4 equal pieces. Every piece needs the same number.
   12 ÷ 4 = 3
2. Find what is in one piece. Each piece has 3 cm.
   3 in one piece
3. Take 3 pieces. three quarters means 3 of the 4 equal pieces.
   3 × 3 = 9
4. Write the answer.
   9

Check. Put the pieces back together: 3 + 3 + 3 + 3 = 12. ✓

Watch out. Make every piece the same size before you count. Then count the pieces you need.

Method. Look at each picture and find the one with three quarters shaded.

1. Look at A. Count the equal parts and the shaded parts.
   A: 4 equal parts, 3 shaded
2. Look at B. Count the equal parts and the shaded parts.
   B: 4 equal parts, 2 shaded
3. Look at C. Count the equal parts and the shaded parts.
   C: 3 equal parts, 1 shaded
4. Find the picture that matches. We want the picture with three quarters shaded.
   Matches: A
5. Write the answer.
   A

Check. B and C do not match. ✓

Watch out. Count the equal parts first, then the shaded parts.

Method. Compare the shaded amounts.

1. Look at 2/4. Two of the four parts are shaded.
   2 shaded
2. Look at 1/4. One of the four parts is shaded.
   1 shaded
3. Compare. Two parts is more than one part.
   2 ≠ 1
4. Decide.
   No. 2/4 is more than 1/4.

Check. Two quarters are more than one quarter. ✓

Watch out. The top number tells how many parts are shaded.

Method. Work out 1/4 of 12 and 1/3 of 12. Then compare them.

1. Work out 1/4 of 12. Share 12 into 4 equal plates. Each plate has 3.
   12 ÷ 4 = 3
2. Work out 1/3 of 12. Share 12 into 3 equal plates. Each plate has 4.
   12 ÷ 3 = 4
3. Compare. Four is more than three.
   4 > 3
4. Write the answer.
   Ruby. One third of 12 is more than one quarter.

Check. Mo has 3 cakes and Ruby has 4 cakes. ✓

Watch out. The smaller the number of equal parts, the bigger each part.

Key words. One half means 1 of the 2 equal parts.

Method. Share into 2 equal plates, then take the ones you need.

1. Share the 14 pencils into 2 equal plates. Every plate needs the same number.
   14 ÷ 2 = 7
2. Find what is in one plate. Each plate has 7 pencils.
   7 in one plate
3. Take one plate. One plate is one half of the whole.
   7

Check. Put the plates back together: 7 + 7 = 14. ✓

Watch out. Make every plate the same size before you count. Then count the plates you need.