Grasp Maths
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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.