Short Blocks

Maths Year 1/2 Spring Fractions

Each unit has everything you need to teach a set of related skills and concepts.

Unit 1 Fractions (suggested as 5 days)

Planning and Activities

Day 1
Revise doubling first for 1-digit numbers and then teens numbers using base-10 equipment (Dienes or Numicon).
Further Teaching with Y2
Physically model finding 1/2 and 1/4 of a number of objects.
Group Activities: T with Y1
Y1 -- Double handfuls of cubes. Or, play a double numbers card game using numbers to 14.
Y2 -- Explore finding 1/2s and 1/4s of various numbers; solve fraction problems.

Day 2
Briskly revisit finding 1/2 and 1/4 of 12 objects. Introduce sharing between three to find 1/3. Model using concrete resources, e.g. decorations or candles on a cake.
Further Teaching with Y1
Halve even numbers, using bar models and base-10 equipment to represent the concept.
Group Activities: T with Y2
Use the in-depth problem-solving investigation ‘Happy Halving’ from NRICH as today’s group activity.
Or, use these activities:
Y1 -- Play halves pairs with numbers up to 24 (or 34).
Y2 -- Find Smartie™ fractions through sharing. Sort numbers according to sharing results.

Day 3
Explore halving small odd numbers, e.g. 7 and 9, modelled with real objects (biscuits, sweets, etc.). Fold a paper strip of squares to provide a different representation. Record halving number sentences, e.g. half of 9 is 4½.
Further Teaching with Y2
Count in halves and quarters, modelled using paper fraction shapes and represented on a number line.
Group Activities: T with Y1
Y1 -- Halve biscuits to explore finding half of odd numbers.
Y2 -- Write, count and identify hidden numbers of 1/2s and 1/4s on a number line. Or, play a counting in 1/2s and 1/4s card game.

Day 4
Quickly revisit folding a paper circle to find halves and quarters. Then model folding a shape that can be folded in half one way, but not the other, and one that cannot be halved at all.
Further Teaching with Y2
Find fractions of numbers (including ¾) using physical objects (bananas) and relating to number facts.
Group Activities: T with Y2
Y1 -- Investigate halving and quartering shapes by folding.
Y2 -- Find and record 1/2, 1/3, 1/4 and 3/4 of given numbers. Or, calculate fraction amounts playing a ‘Find the fraction’ card game.

Day 5
Share candles between different fractional amounts of cake to find half and quarters.
Further Teaching with Y2
Finding 1/2, 1/3 and 1/4 ­ of ingredients to adjust recipes.
Group Activities: T with Y1
Y1 -- Divide a tower of cubes equally to find 1/2 of that number. Or, find 1/4 of numbers by breaking towers of cubes into half and half again.
Y2 -- Change recipe quantities to make 1/2, 1/3 or 1/4 of the given recipe.

You Will Need

  • Base-10 equipment, e.g. Dienes blocks or number shapes such as NumiconTM
  • Cubes; Play dough
  • ‘Doubling recording sheet’ (see resources)
  • ‘Doubling cards’ (3 sheets, see resources)
  • Number cards 1–10; Labels; Counters (small and large)
  • ‘Stationery problems’ (see resources)
  • ‘Number cards’ (cut out, see resources)
  • Smarties™, cupcakes, sweets, biscuits
  • ‘Cakes’ sheet (see resources)
  • ‘Halving’ bar model (see resources)
  • ‘Number cards (wholes)’ sheets 1 and 2 (see resources)
  • ‘Number cards (halves)’ sheets 1 and 2 (see resources)
  • ‘Fractions cards set 1 and set 2’ (see resources)
  • ‘Paper shapes’ (see resources)
  • ‘0–5 Number line: halves’ (see resources)
  • ‘0–5 Number lines: quarters’ (see resources)
  • ‘Paper strips’ (see resources)
  • ‘Halving recording sheet’ (see resources)
  • ‘Paper strips 2’ (see resources)
  • Large paper shapes: circle, heart, lightning bolt
  • ‘Go Bananas’ (see resources)
  • Bananas
  • Paper shapes and straws of different types/ lengths
  • ‘Finding fractions of amounts’ (see resources)
  • ‘Find the fractions’ cards sets A, B and C (see resources)

Short Mental Workouts

Day 1
Finger doubles

Day 2
Odds and evens

Day 3
Clockface halves and quarters

Day 4
Count in 3s

Day 5
Beanbag doubling

Worksheets

Day 1
Y1: Double numbers to 15. Double numbers to 21.
Y2: Halve and quarter numbers to 36.

Day 2
Y1: Halve even numbers to 22. Halve even numbers to 32.
Y2: Find 1/2, 1/3, and 1/4 of numbers to 33. Find 1/2, 1/3, and 1/4 of numbers to 60.

Day 3
Y1: Halve odd numbers to 17.
Y2: Count on and back in halves and quarters.

Day 4
Y1: Draw lines to identify halves and quarters of shapes.
Y2: Find fractions of numbers to 52, including 3/4.

Day 5
Y1: Find 1/2 and 1/4 of numbers, using supporting images.
Y2: Find 1/2, 1/3, 1/4 and 3/4 of numbers to 48, using supporting images.

Mastery: Reasoning and Problem-Solving

Y1

  • Harry says that he always gets the bigger half of pudding than his sister. Is he correct?
  • How many quarters in 1 whole cake?
  • True or false?
    - There are 2 quarters in each half.
    - Sometimes 1 quarter is larger than another quarter of the same whole.
    - Half of 8 is 4.
    - A quarter of 8 is 4.
  • Make a line of 20 cubes. Break it into quarters. How many in each quarter?
  • Make a tower of 10 cubes. Can you break it into halves? Quarters?

Y2

  • Use the image to help complete each number sentence, using <, > or =.
1/21/2
1/31/31/3
1/41/41/41/4
  • Complete each sentence.
    1/4 of 20 is _____.
    1/3 of 12 is _____.
    1/2 of 24 is _____.
  • 18 children are in a class and 1/3 are boys. How many are girls?
  • 10 of the 15 children in a class are girls. What fraction are boys?

In-depth investigation: Happy Halving
Children split shapes in half so that the two parts are exactly the same. Happy Halving from nrich.maths.org.