Number, place value, approximation and estimation/rounding
I can count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000.
I can read, write, order and compare numbers to at least 1,000,000.
I can determine the value of each digit in numbers up to 1,000,000.
I can read Roman numerals to 1,000 (M) and recognise years written in Roman numerals.
I can round any number up to 1,000,000 to the nearest 10, 100, 1000, 10000 and 100000.
I can interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero.
I can solve number problems and practical problems with the above.
I can use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.
I can solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.
I can identify common factors, common multiples and prime numbers.
I can perform mental calculations, including with mixed operations and large numbers.
I can multiply multi-digit numbers up to 4 digits by a 2 digit whole number using the formal written method of long multiplication.
I can divide numbers up to 4 digits by a 2 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.
I can divide numbers up to 4 digits by a 2 digit number using the formal written method of short division where appropriate.
I can solve problems involving addition, subtraction, multiplication and division.
I can use my knowledge of the order of operations to carry out calculations involving the four operations.
Fractions, decimals and percentages
I can use common factors to simplify fractions and use common multiples to express fractions in the same denomination.
I can compare and order fractions, including fractions >1.
I can add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions.
I can multiply simple pairs of proper fractions, writing the answer in the simplest form.
I can divide proper fractions by whole numbers.
I can associate a fraction with division to calculate decimal fractions equivalents for a simple fraction.
I can identify the value of each digit to 3 decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to 3 decimal places.
I can multiply 1-digit numbers with up to 2 decimal places by whole numbers.
I can use written division methods in cases where the answer has up to 2 decimal places.
I can solve problems which require answers to be rounded to specified degrees of accuracy.
I an recall and use equivalences between simple fractions, decimals and percentages, including in different contexts
Ratio and proportion
I can solve problems involving the relative sizes of two quantities, where missing values can be found using integer multiplication and division facts.
I can solve problems involving the calculation of percentages and the use of percentage comparisons.
I can solve problems involving similar shapes where the scale factor is known or can be found.
I can solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.
I can express missing number problems algebraically.
I can use simple formulae.
I can generate and describe linear number sequences.
I can find pairs of numbers that satisfy an equation with two unknowns.
I can enumerate possibilities of combinations of two variables.
I can 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 of up to 3 decimal places.
I can convert between miles and kilometres.
I recognise that shapes with the same areas can have different perimeters and vice versa.
I can calculate the area of parallelograms and triangles.
I recognise when it is possible to use the formulae for the area of shapes.
I can calculate, estimate and compare volume of cubes and cuboids, using standard units.
I recognise when it is possible to use the formulae for the volume of shapes.
I can solve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 decimal places where appropriate.
Geometry – properties of shapes
I can compare and classify geometric shapes based on the properties and sizes.
I can describe simple 3D shapes.
I can draw 2D shapes given dimensions and angles.
I recognise and build simple 3D shapes, including making nets.
I can find unknown angles in any triangles, quadrilaterals and regular polygons.
I recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.
I can illustrate and name parts of circles, including radius, diameter and circumference.
I know the diameter is twice the radius.
Geometry – position and direction
I can draw and translate simple shapes on the co-ordinate plane, and reflect them in the axes.
I can describe positions on the full co-ordinate grid (all four quadrants).
I can interpret and construct pie charts and line graphs and use these to solve problems
I can calculate and interpret the mean as an average.