Number -Number and Place Value

  • Number-Addition, Subtraction, Multiplication and Division
    • Solve problems involving addition, subtraction, multiplication and division
    • Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
    • Perform mental calculations, including with mixed operations and large numbers
    • Use their knowledge of the order of operations to carry out calculations involving the four operations
    • Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy
    • Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
    • Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
    • Divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context
    • Identify common factors, common multiples and prime numbers
  • Number-Fractions
    • Use common factors to simplify fractions; use common multiples to express fractions in the same denomination
    • Compare and order fractions
    • Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
    • Multiply simple pairs of proper fractions, writing the answer in its simplest form
    • Divide proper fractions by whole numbers
    • Associate a fraction with division and calculate decimal fraction equivalents for a simple fraction
    • Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places
    • Multiply one-digit numbers with up to two decimal places by whole numbers
    • Use written division methods in cases where the answer has up to two decimal places
    • Solve problems which require answers to be rounded to specified degrees of accuracy
    • Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.
  • Ratio and Proportion
    • Solve problems involving similar shapes where the scale factor is known or can be found
    • Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.
    • Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts
    • Solve problems involving the calculation of percentages and the use of percentages for comparison
  • Algebra
    • Use simple formulae
    • Generate and describe linear number sequences
    • Express missing number problems algebraically
    • Find pairs of numbers that satisfy an equation with two unknowns
    • Enumerate possibilities of combinations of two variables
  • Measurement
    • Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate
    • Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places
    • Convert between miles and kilometres
    • Recognise that shapes with the same areas can have different perimeters and vice versa
    • Recognise when it is possible to use formulae for area and volume of shapes
    • Calculate the area of parallelograms and triangles
    • Calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres and cubic metres, and extending to other units
  • Geometry-Properties of Shape
    • Draw 2-D shapes using given dimensions and angles
    • Recognise, describe and build simple 3D shapes, including making nets
    • Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons
    • Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius
    • Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.
  • Geometry-Position and Direction
    • Describe positions on the full coordinate grid (all four quadrants)
    • Draw and translate simple shapes on the coordinate plane, and reflect them in the axes
  • Statistics
    • Interpret and construct pie charts and line graphs and use these to solve problems
    • Calculate and interpret the mean as an average
Study Ladder
Website Lots of resources from this Australian site- but you must join.
Third Space Learning
Website  Mainly aimed at Years 5 and 6 , with useful resources, but also a website to keep an eye on as they will undoubtedly expand more .
Mathematics Mastery
Website Some examples ( full flip charts  and lessons ) of a Mastery approach.