• Hamilton's Flexible Maths Blocks Explained

Open our sample 'Year 5 Autumn Unit 1' to find out how the blocks of units work.

• Go Deeper with Maths Investigations

Our Investigations provide the materials to confidently teach problem solving & investigation skills.

• Free Maths Resources on Hamilton

Find out which Hamilton maths units you can access for free, including our new slide presentations.

# Maths Reception Spring Understanding Number

Each week-long unit has everything you need to teach a set of related skills and concepts. ‘Maths Out Loud’ provides essential whole-class practice of counting and repetitive chants, rhymes and songs, along with a linked story to enjoy together.

The three remaining sections provide a choice of activities to target the key characteristics of effective early learning. Through ‘Exploring and Playing’, children will engage with their peers and their environment. ‘Active Learning’ should promote the motivation needed to be involved and to keep trying. Many of the activities suggested in ‘Creating and Thinking Critically’ support early development of children’s problem-solving and reasoning skills.

‘UNIT PLAN’ gives you a text version of all parts of the unit to use in your school planning documentation. ‘DOWNLOAD ALL FILES’ gives you that unit plan plus all of the associated documents. The downloads in each section of the first unit are free to download for all users. However these bulk downloads are only available to Hamilton Friends and School Subscribers, representing added value for those users.

## Unit 1 Counting and estimating (suggested as 5 days)

### Objectives

Counting and estimating

Unit 1: ID# R457

Development Matters
Recognises some numerals of personal significance.
Recognises numerals 1 to 5.
Counts up to three or four objects by saying one number name for each item.
Counts actions or objects that cannot be moved.
Counts objects to 10, and beginning to count beyond 10.
Counts an irregular arrangement of up to ten objects.
Estimates how many objects they can see and checks by counting them..

Early Learning Goals
Counts reliably with numbers from 1 to 20.

Hamilton Objectives
1. Recognise numerals 1-5 and some of personal significance; select the correct numeral to represent up to 10 objects.
2. Count up to 5, then 10 objects, including in an irregular arrangement, match one-to-one; count actions, images, objects which cannot be moved.
3. Estimate how many objects they can see and check by counting them.
4. ELG: Count reliably using numbers 1 to 20 and place the numbers in order.

### You Will Need

Exploring and Playing
Lego™ bricks or cubes; Post-its™; pens; wiggly snakes drawn on A3 paper; paint; brushes; water; big chalk or large paintbrushes with water; plastic cups; tweezers; variety of small counting objects e.g. shells, small stones, gems, small beads, etc.

Active Learning
Number cards 1-20; 20-bead bar; 4 different-sized boxes with lids; play figures or Lego™ figures; 3 plates; 35 fruit snacks of two different types; washing line.

Creating and Thinking Critically
5 plates; counting objects e.g. play- people, Lego™ bricks etc.; 5 cloths to cover the plates; number cards 5, 10 and 20 per pair; drum; beater; other percussion instruments; number cards 1-10; cubes; washing line; cardboard box; small soft toys.

### Maths Out Loud

Counting
Count around the circle from 1 to the number in the class. 1, 2, 3, 4, 5! The 5th child waves one hand, 6, 7, 8, 9, 10, 10th child waves 2 hands, 11… 15, 15th child waves one hand, and so on. Repeat, starting at a different place in the circle.

On other occasions, count to 100 in unison with children using their fingers to match the units. Emphasise numbers ending in 0 and 5.

Chants/Rhymes/Songs
Ten Green Bottles – counting back from 10 to 0.

Story
Ten Little Dinosaurs or Ten Little Robots or Ten Little Pirates by Mike Brownlow.

Counting to ten then back again. How many dinosaurs will there be now? Point at numerals for children to recognise and say out loud. Count quickly on and back using the pages, then slowly, then in a high voice, then in a low voice

### Exploring and Playing

1. Construction – Lego™ 20s
2. Painting stripes
3. Outside numbers
4. Fine motor skills counting

### Active Learning

1. Action Numbers
3. Boxes and quantities
4. Counting snacks

### Creating and Thinking Critically

1. Estimating quantities within a range
2. Drum counting
3. Cube counting
4. All aboard the bus!

## Unit 2 Order and compare numbers (suggested as 5 days)

### Objectives

Order and compare numbers

Unit 2: ID# R467

Development Matters
Selects the correct numeral to represent 1 to 5, then 1 to 10 objects.
Counts an irregular arrangement of up to ten objects.
Estimates how many objects they can see and checks by counting them.
Uses the language of ‘more’ and ‘fewer’ to compare two sets of objects.
Finds one more or one less from a group of up to five objects, then ten objects.

Early Learning Goals
Count reliably with numbers from 1 to 20, place them in order .

Hamilton Objectives
2. Count up to 5, then 10 objects, including in an irregular arrangement, match one-to-one; count actions, images, objects which cannot be moved.
5. ELG: Count reliably using numbers 1 to 20 and place the numbers in order.

### You Will Need

Exploring and Playing
Play-dough; small objects to stick into the play-dough e.g. beads, counters, buttons etc; large number track 1-12 (see resources); dominoes; sand; small stone, shells; camera; low washing line; pegs; stickers; pens; socks.

Active Learning
Cardboard box; Number cards 0-9 (see resources); sandpaper numerals; 1-20 number track (see resources); soft toy for each child; Number cards 1-20 (see resources); counters; Blank cards (see resources); counters; Rosettes (see resources); pens; scissors.

Creating and Thinking Critically
Number cards 1-20 (see resources); interlocking cubes; counters; Name tag templates (see resources); Number track 1-20 (see resources); counters.

### Maths Out Loud

Counting
Give each child in the class a card with a number between 1 and 20.

Together, count along the washing line from 1 to 20.

Then children close their eyes whilst you turn round 3 cards so their numbers are not visible. Children open eyes and hold up their card if they think it’s one of the missing numbers. They explain where it is on the line.

Repeat several times across the unit, swapping children’s numbers.

Chants/Rhymes/Songs
Ten in the bed (see resources for lyrics).

Story
Hippos Go Berserk! by Sandra Boynton.

One hippo calls another hippo. so now there are two. Then another hippo is called to make three. So the story proceeds… Children love it when they go berserk!

You could print pictures of hippos and ask children to come up to form a human number line as each new hippo is added, reinforcing this unit’s theme of ordering and comparing numbers.

### Exploring and Playing

1. Play dough numbers
2. Dominoes
3. Sandy numbers
4. Washing line of socks

### Active Learning

1. Guess the Number
2. Soft Toy Race
3. Guess My Numeral
4. Animal Shows

### Creating and Thinking Critically

1. Where does it go?
2. Tallest Towers
4. Higher/Lower

## Unit 3 Partition to create number bonds (suggested as 5 days)

### Objectives

Partition to create number bonds

Unit 3: ID# R491

Development Matters
Recognises numerals 1 to 5.
Separates groups of … objects in different ways, beginning to recognise that the total is still the same.
In practical activities and discussion, is beginning to use the vocabulary involved in adding and subtracting.
Records, using marks that they can interpret and explain .

Early Learning Goals
Say which number is one more or one less than a given number.

Hamilton Objectives
10. Find the total number of items in two groups by counting all of them.
11. Find one more than a group of up to 5 objects and then up to 10 objects.
14. ELG: Say the number one more than a given number up to 20.
15. ELG: Say the number one less than a given number up to 20.
18. Identify and begin to solve mathematical problems in the context of their own activity or interest.

### You Will Need

Exploring and Playing
Large dried beans e.g. butter beans; paint/permanent pen in gold/silver; number bond to 10 cards, small stickers; dominoes; camera; cardboard mats; interlocking cubes; number bonds to 10 cards; pennies; other coins; two purses (see resources).

Active Learning
Sum cards (see resources); 10 pegs on a coat hanger; cloth; cardboard boxes; 10 soft toys; blank cards; Numicon; string; beads.

Creating and Thinking Critically
Flip chart or whiteboard; Number cards 1-10 (see resources); plastic animals e.g. zoo/farm animals; Sum cards (see resources) or blank cards; Lego/lolly sticks/card; whiteboards, pens; ten petals (see resources); glue; biscuits: savoury/ sweet; 2 plates.

### Maths Out Loud

Counting
Use Post-its™ to cover 10 random numbers on the 1-100 grid (not multiples of 10).

Count to 100 as a class, with children marking the multiples of five by waving one hand (numbers ending ‘5’) or two hands (numbers ending ‘0’).

Point to each number on the grid as you say it.

Can children say the missing numbers? Take off the Post-its as you go.

Chants/Rhymes/Songs
Number Bonds to 10
(see poster)

0 and 10 are big strong men

1 and 9 are feeling fine

2 and 8 are never late

3 and 7 come from Devon

4 and 6 like to play tricks

5 and 5 come alive

Children can invent their own version for the class to say together.

Story
Ten Red Apples – by Pat Hutchins

How many apples have been eaten? How many are left on the tree?

### Exploring and Playing

1. How many beans make 10?
2. Domino tens
3. Sticks of ten
4. Making 10p

### Active Learning

1. Peggy tens
2. Soft-toy houses
3. Number shapes
4. Ten beads on my necklace

### Creating and Thinking Critically

1. Finger partitioning
2. How many missing?
3. Flowery tens
4. Splitting the biscuits