Short Blocks

# Maths Year 1/2 Spring Fractions

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

First time using Hamilton Maths?

The PowerPoint incorporates step-by-step teaching, key questions, an in-depth mastery investigation, problem-solving and reasoning questions - in short, everything you need to get started.

All the other resources are there to support as-and-when required. Explore at your leisure - and remember that we are always here to answer your questions.

## Unit 1 Fractions (suggested as 5 days)

### Objectives

Fractions
Unit 3: ID# 12602

Y1: Doubling numbers; halving even and odd numbers, finding half and quarter of shapes and amounts.
Y2: Finding 1/2, 1/3, 1/4 and 3/4 of amounts. Counting in fraction steps.

National Curriculum
Y1: Mult/Div (i); Frac (i) (ii)
Y2: Frac (i) (ii)

Y1 Hamilton objectives
13. Recognise doubles to double 6 and find related halves (half even numbers up to 12).
15. Recognise, find and name a half as 1 of 2 equal parts of an object, shape, quantity.
16. Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity.

Y2 Hamilton objectives
22. Count in halves and quarters, recognising fractions as numbers.
23. Begin to recognise the equivalence of 2/4 and ½ on the number line and in other practical contexts.
24. Understand ½, ¼, 1/3, ¾, 2/3 as fractions of quantities in a practical context; solve problems using shapes, objects, quantities.

### 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 =.
 1/2 1/2 1/3 1/3 1/3 1/4 1/4 1/4 1/4
• 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.

### Extra Support

Y1:
Squabbling Squirrels
Halving even numbers up to 12.

Y2:
Fair Cakes
Finding half of quantities by sharing.