Year 1 Maths Notes
Remember the important ideas
Use these short notes to recall vocabulary, representations and examples. They support lessons and practice; they are not a replacement for working things out.
Year 1 reference
Counting and number representation
A number can be shown in different ways. We can say it, write it, show it with objects or find it on a number line.
Key words
- numeral
- number word
- represent
- count
Examples
- 17 is the numeral for seventeen.
- Count forwards: 38, 39, 40, 41.
- Count backwards: 25, 24, 23, 22.
Remember: The value stays the same when the representation changes.
Year 1 reference
One more and one less
One more means move one step forwards. One less means move one step backwards.
Key words
- more
- less
- next
- previous
Examples
- One more than 14 is 15.
- One less than 14 is 13.
Remember: Use a number line if you are unsure which way to move.
Year 1 reference
Comparing numbers and groups
Compare two numbers or groups by looking carefully at how many there are.
Key words
- equal
- more than
- less than
- most
- least
Examples
- 9 is more than 6.
- 4 is less than 7.
- Equal groups have the same number.
Remember: Count each group once before choosing a comparison word.
Year 1 reference
Addition, subtraction and bonds
Addition combines parts. Subtraction finds what is left or the difference between two numbers.
Key words
- add
- plus
- altogether
- subtract
- take away
- difference
Examples
- 8 + 5 = 13.
- 13 - 5 = 8.
- 7 + 3 = 10, so 10 - 7 = 3.
Remember: A missing number can be found by using the related fact.
Year 1 reference
Grouping and sharing
Multiplication describes equal groups. Division can describe sharing equally or making equal groups.
Key words
- group
- share
- equal
- array
Examples
- 3 groups of 2 make 6.
- 6 shared equally between 3 groups gives 2 in each group.
Remember: Check that every group has the same number.
Year 1 reference
Halves and quarters
A half is one of two equal parts. A quarter is one of four equal parts.
Key words
- whole
- half
- quarter
- equal parts
Examples
- Two equal halves make one whole.
- Four equal quarters make one whole.
Remember: The parts must be equal.
Year 1 reference
Length and height
Length tells us how long something is. Height tells us how tall something is. Compare from the same starting point.
Key words
- longer
- shorter
- taller
- height
- measure
Examples
- A pencil may be longer than a crayon.
- A book can be shorter than a ruler.
Remember: Line up the ends before comparing.
Year 1 reference
Mass and weight
We compare mass by thinking about how heavy objects are. A balance can help us compare them.
Key words
- heavier
- lighter
- mass
- balance
Examples
- A book may be heavier than a pencil.
- If the balance is level, the masses are equal.
Remember: A bigger-looking object is not always heavier.
Year 1 reference
Capacity and volume
Capacity tells us how much a container can hold. Compare containers by using the same amount each time.
Key words
- full
- empty
- holds more
- holds less
- capacity
Examples
- A jug can hold more water than a cup.
- An empty bottle has no liquid in it.
Remember: Look at how much a container holds, not just its height.
Year 1 reference
Coins, notes and value
Coins and notes have different values. Read the number and symbol carefully.
Key words
- coin
- note
- value
- pence
- pound
Examples
- A 5p coin is worth five pence.
- £1 is one pound.
Remember: The size or colour of a coin does not tell you its value.
Year 1 reference
Time to the hour and half past
The short hand shows the hour. The long hand points to 12 at o'clock and to 6 at half past.
Key words
- o'clock
- half past
- hour hand
- minute hand
Examples
- The long hand at 12 means o'clock.
- The long hand at 6 means half past.
Remember: Read the short hand carefully when the time is half past.
Year 1 reference
Chronology and date language
Chronology means putting events in time order. Dates help us say when something happens.
Key words
- before
- after
- first
- next
- yesterday
- today
- tomorrow
Examples
- First we eat breakfast, then we go to school.
- Tomorrow comes after today.
Remember: Use the order of events to explain what happens first and next.
Year 1 reference
2-D and 3-D shapes
2-D shapes are flat. 3-D shapes are solid. We can sort shapes by features we can see or describe.
Key words
- flat
- solid
- face
- curved
- sort
Examples
- A circle is a flat 2-D shape.
- A cube is a solid 3-D shape.
Remember: Name a shape from its properties, not only its orientation.
Year 1 reference
Position and direction
Position words tell us where something is. Direction words tell us which way it moves.
Key words
- above
- below
- left
- right
- forwards
- backwards
Examples
- The book is below the shelf.
- Move forwards, then turn right.
Remember: Say what the movement is relative to before you describe it.
Year 1 reference
Whole, half and quarter turns
A whole turn goes all the way around. A half turn faces the opposite way. A quarter turn is one part of four equal turns.
Key words
- turn
- whole turn
- half turn
- quarter turn
- three-quarter turn
Examples
- Two quarter turns make a half turn.
- Four quarter turns make a whole turn.
Remember: Use the starting direction to describe where the turn finishes.
Year 1 reference
Sorting and simple data
We can sort familiar objects into groups using a rule, such as colour or shape. This is a Grasp foundation activity for representing information.
Key words
- sort
- group
- same
- different
- tally
Examples
- Sort buttons by colour.
- Use a tally to record how many objects are in a group.
Remember: Say the sorting rule clearly.