Grade 6

Add and subtract whole numbers up to 9 digits, apply column methods, estimation strategies, inverse operations and multi-step word problems.

Multiply whole numbers by 3-digit numbers, apply properties of multiplication, estimate products and solve real-world multiplication problems.

Divide whole numbers by 3-digit divisors, interpret remainders, use long division, verify with inverse operations and solve division word problems.

Explore properties of whole numbers including factors, multiples, prime and composite numbers, divisibility rules, squares and square roots.

Write and solve number sentences with multiple operations, apply the order of operations, find missing values and model real-life situations with equations.

Compare, order and simplify fractions, add and subtract fractions with different denominators, multiply fractions by whole numbers and solve fraction problems.

Understand decimal place value to thousandths, convert between decimals and common fractions, multiply and divide decimals and solve decimal word problems.

Understand percentages as parts out of 100, convert between percentages, fractions and decimals, calculate percentages of quantities and solve real-world percentage problems.

Understand ratios as comparisons between quantities, simplify ratios, work with rates including unit rates and solve real-world ratio and rate problems.

Investigate number patterns and geometric sequences, describe rules using words and symbols, work with input-output tables and explore functional relationships.

Test whether vertical, horizontal and diagonal lines are true lines of symmetry, identify which diagonals of quadrilaterals are lines of symmetry and draw or complete symmetrical shapes.

Identify, classify and describe 2D shapes including triangles, quadrilaterals and circles, explore properties such as angles and sides and recognise shapes in composite figures.

Identify, name and classify 3D objects, describe their faces, edges and vertices, match objects to their nets and find 3D objects in everyday structures.

Recognise how composite objects and cube structures look from front, back, left, right, above and below, match views to viewing position, and identify or sketch views of everyday and geometric composite objects.

Classify acute, right, obtuse, straight and reflex angles, measure angles with a protractor, and calculate unknown angles on a straight line and around a point.

Enlarge and reduce 2D shapes on a grid using a scale factor, compare an image to its original in shape and size, and find the scale factor between shapes.

Read and write alpha-numeric grid references, locate positions on a map, and give clear directions to move between positions on a grid or map.

Calculate the perimeter of regular and irregular polygons, find the area of rectangles, squares and triangles, and solve real-world problems involving perimeter and area.

Calculate the volume of rectangular prisms and cubes using the formula Volume = length × width × height, and solve real-life problems involving containers and packing.

Convert between mm, cm, m and km using multi-step conversions and mixed units, apply length to scale drawings and maps, and solve real-world length problems.

Convert between mg, g, kg and t using multi-step conversions and mixed units, scale recipes and compare prices per kilogram, and solve real-world mass problems.

Convert between ml, l and kl using multi-step conversions and mixed units, relate capacity to volume using the fact that 1 cm³ = 1 ml, and solve real-world capacity problems.

Convert between 12-hour and 24-hour time, calculate elapsed time including periods that cross midnight, and solve real-world time and timetable problems.

Read thermometers and understand positive and negative temperatures, compare and order temperatures including negative values, and calculate temperature differences.

Collect and organise data in frequency tables, read and draw bar graphs and pie charts, calculate the mean, median and mode, and draw conclusions from data.

Describe probability using a scale from 0 to 1, write probability as a fraction, list outcomes of experiments and understand the difference between theoretical and experimental probability.