Maths - Using and Applying

Upon completing Step Two pupils:

  • know the sequence of events in familiar activities, using contextual clues.
  •  can show an understanding of object permanence by looking for an object that has been placed in a container.
  •  can show an understanding of cause and effect through interacting with objects in the environment.
  •  can indicate the same object / picture as the one shown.
  •  can indicate which set has ‘one’ or ‘more than one’ item.
  • can complete a sequence of actions / activities that creates a pattern.
  •  can select an object / picture from a small set and find another to match it.
  • can put together two objects that are the same including colour.
  •  can select all objects in a set to match a given object.
  •  can find an object in the usual place in a classroom.

Upon completing Step Three pupils:

  • can match a small number of objects (up to 3) using 1:1 correspondence.
  •  can select a named object from a choice of two.
  •   can begin to sort from a given criteria.
  •  can copy a simple sequence or pattern of two elements using one criterion eg colour, shape, size, rhythm.
  •   can estimate which set has more / less or is bigger / smaller.
  •  can respond to the question ‘How many?’ in everyday situations by counting objects / actions to the value of 5.

Upon completing Step Four pupils:

  • can describe in simple terms a given repeated pattern and communicate what comes next.
  • can create a simple pattern using a range of given resources.
  •  can begin to make simple estimates of ‘How many?
  •  can use number labels / numerals to 10 to count objects / pictures / actions within everyday situations.
  •  can estimate if they will need more / less of a given material in order to match a given quantity.

Upon completing Step Five pupils:

  • can begin to identify if 1 object costs more than another using and recognising simple coins and vocabulary of measurement.
  •   can describe orally how a problem was solved.
  •  can demonstrate how to represent relative sizes of objects using suitable measuring units.
  •  can identify the common elements of shapes and patterns, for instance all flat, solid.
  •  can begin to identify if 1 object measures more than another using vocabulary of measurement.
  •  can ask questions about shapes.
  •  can ask questions about numbers.
  •  can investigate using shapes.
  •  can investigate using numbers.
  •  can investigate measurement.
  •  can find the equipment they need to carry out a task or investigation.
  •  can talk about what they have found out from an investigation or task.
  •  can use language to do with addition and subtraction.
  •  can use positional language when they discuss an activity.             
  •  can use ordinal numbers in a range of activities.
  •  can use comparative terms when they discuss an activity.

Upon completing Step Six pupils:

  • can use mathematical language relating to addition and subtraction.
  •   can use appropriate terms relating to size, time and position.
  • can decide on how to solve a problem in an everyday context.
  •  can check their work for mistakes.
  •  can explain how they worked out an answer.

Upon completing Stage One pupils:

  • know how to solve one-step problems that involve addition and subtraction, using concrete objects
  • and pictorial representations;
  • know how to solve missing number problems;
  • know how to select the mathematics they use in some classroom activities;
  • know how to discuss their work using mathematical language and are beginning to represent it using symbols and simple diagrams;
  • know how to explain why an answer is correct.
  •  can select the mathematics they use in some classroom activities.
  •  can discuss their work using mathematical language and are beginning to represent it using symbols and simple diagrams.
  • can explain why an answer is correct.

Upon completing Stage Two pupils:

  • know how to use their knowledge of mental and written methods to solve problems with addition and subtraction including problems with numbers, quantitates and measures;
  • know how to organize their work and check their results.
  • begin to try different approaches and find ways of overcoming difficulties that arise when they are solving problems.
  •  are beginning to organise their work and check results.
  •  discuss their mathematical work and with support, they are beginning to explain their thinking.
  •  are beginning to use and interpret mathematical symbols and diagrams.
  •  show that they understand a general statement by finding particular examples that match it.

Upon completing Stage Three pupils:

  • know to try different approaches and find ways of overcoming difficulties that arise when they are solving problems;
  • know how to solve number problems involving place value;
  • know how to estimate answers to problems.
  • are beginning to organise their work and check results.
  •  discuss their mathematical work and are beginning to explain their thinking.
  •  use and interpret mathematical symbols and diagrams.
  •  show that they understand a general statement by finding particular examples that match it.

Upon completing Stage Four pupils:

  • know how to solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why
  • begin to develop their own strategies for solving problems and use these strategies both in working within mathematics and in applying mathematics to practical contexts.
  • Can check their results are reasonable by considering the context.
  •  can be guided to look for patterns and relationships, presenting information and results in an increasingly clear and organised way, using ICT appropriately.
  •  are beginning to search for a solution by trying out ideas of their own.

Upon completing Stage Five pupils:

  • know how to use the inverse and rounding to check the accuracy of calculations;
  • know how to decide which methods to use when solving multi-step problems in different contexts.

Upon completing Stage Six pupils:

  • know how to solve problems which require answers to be rounded to specified degrees of accuracy;
  • know how to solve practical problems which use negative numbers in context.