United Kingdom · National Curriculum Attainment Targets
Year 1 Mathematics
This curriculum introduces students to the core structures of number, shape, and measure through hands-on exploration. It prioritizes the development of a strong mental number line and the ability to articulate mathematical reasoning during problem solving.

01Number Sense and Place Value
Students explore the composition of numbers to 100, focusing on counting, identifying more or less, and understanding the physical representation of quantity.
Developing a deep understanding of counting forwards and backwards and recognizing the value of each digit within 10.
Extending counting skills to numbers up to 20, reinforcing number order and sequence.
Exploring skip counting in twos as an efficient way to count pairs of objects.
Practicing skip counting in fives, linking to fingers and groups of five objects.
Understanding skip counting in tens, emphasizing its use for larger numbers and place value.
Using concrete objects and pictorial representations to show numbers up to 10.
Extending the use of concrete objects and pictorial representations to show numbers up to 20.
Using mathematical language to compare quantities up to 10 and introduce comparison symbols.
Extending comparison skills to numbers up to 20, using comparison symbols.
Arranging numbers from smallest to largest and largest to smallest within 10.

02Additive Reasoning
An investigation into the relationship between addition and subtraction using concrete materials and pictorial representations.
Understanding how numbers can be broken into parts and recombined to form a whole up to 5.
Understanding how numbers can be broken into parts and recombined to form a whole up to 10.
Developing mental and physical strategies to solve simple addition problems by counting on from the larger number.
Extending counting on strategies to solve addition problems with sums up to 20.
Using counting back as a strategy for subtraction from numbers up to 10.
Extending counting back strategies to solve subtraction problems from numbers up to 20.
Exploring the inverse relationship between addition and subtraction using fact families.
Exploring the meaning of the equals sign as a symbol of equivalence rather than just an instruction to calculate.
Applying addition strategies to solve simple word problems using concrete objects and pictorial representations.

03Geometry and Spatial Sense
Students identify and describe the properties of common 2D and 3D shapes found in their environment.
Naming and categorizing flat shapes (circle, square, triangle, rectangle) based on visual recognition.
Identifying and counting sides and vertices of common 2D shapes.
Identifying three dimensional shapes (cubes, cuboids, spheres, cylinders, pyramids, cones) in the real world.
Describing 3D shapes using simple language like 'it rolls', 'it stacks', or 'it has flat sides', and introducing faces, edges, vertices.
Describing movement and location using mathematical language related to turns.

04Measurement and Comparison
An introduction to measuring length, mass, and capacity using non-standard units and simple tools.
Comparing the size of objects using direct comparison and language like 'longer', 'shorter', 'taller'.
Using everyday objects (e.g., paper clips, blocks) to measure the length of items.
Exploring heavy and light through direct comparison and the use of balance scales.
Using cubes or other small objects to measure the mass of items on a balance scale.
Understanding how much a container can hold and comparing different volumes of liquid using descriptive language.

05Time and Money
Learning the value of currency and the passage of time through clocks, calendars, and coin recognition.
Identifying British currency and understanding that different coins represent different values.
Extending coin recognition to higher value British currency.
Practicing counting groups of coins to find a total value for small amounts.
Reading the time to the hour on an analogue clock.
Reading the time to the half hour on an analogue clock.
Sequencing the days of the week and linking them to familiar events and routines.

06Multiplicative Thinking and Data
An introduction to grouping, sharing, and representing information in simple charts.
Understanding the concept of twice as many and finding doubles of numbers up to 10.
Practicing halving even numbers up to 10 using concrete materials.
Extending halving skills to even numbers up to 20 using concrete materials.
Solving simple multiplication problems by making equal groups using concrete objects.
Dividing a set of objects into equal groups to solve simple division problems.
Understanding halves of shapes and identifying when a shape is divided into two equal parts.
Understanding halves of quantities and finding half of a group of objects.
Understanding quarters of shapes and identifying when a shape is divided into four equal parts.
Understanding quarters of quantities and finding a quarter of a group of objects.
Collecting information and creating simple visual representations to answer questions.