Year 6 Block D – Calculating, measuring and understanding shape

The focuses of mathematics learning within this block are:

• Calculation
• Mental and written methods: integers and decimals, including HTU × TU

• Metric units, conversions, imperial units
• Reading from scales

• Solving multi-step problems, using a calculator where appropriate
• Estimating and checking results

• Estimating, measuring and drawing angles
• Angle sum of triangle; angles around a point

• Coordinates
• Reflection, translation, rotation

• Area and perimeter of rectilinear shapes

The objectives for the block are listed in the table – the right hand column indicates how the objectives might be addressed in the units

Objectives	Unit 1	Unit 2	Unit 3
Solve multi-step problems, and problems involving fractions, decimals and percentages; choose and use appropriate calculation strategies at each stage, including calculator use
Calculate mentally with integers and decimals: U.t ± U.t, TU × U, TU ÷ U, U.t × U, U.t ÷ U
Use efficient written methods to add and subtract integers and decimals, to multiply and divide integers and decimals by a one-digit integer, and to multiply two-digit and three-digit integers by a two-digit integer (end of year objective)
Use a calculator to solve problems involving multi-step calculations
Use approximations, inverse operations and tests of divisibility to estimate and check results
Select and use standard metric units of measure and convert between units using decimals to two places (e.g. change 2.75 litres to 2750 ml, or vice versa) (end of year objective)
Solve problems by measuring, estimating and calculating; measure and calculate using imperial units still in everyday use; know their approximate metric values
Read and interpret scales on a range of measuring instruments, recognising that the measurement made is approximate and recording results to a required degree of accuracy; compare readings on different scales, for example when using different instruments
Calculate the perimeter and area of rectilinear shapes; estimate the area of an irregular shape by counting squares
Estimate angles, and use a protractor to measure and draw them, on their own and in shapes; calculate angles in a triangle or around a point
Use coordinates in the first quadrant to draw, locate and complete shapes that meet given properties
Visualise and draw on grids of different types where a shape will be after reflection, after translations, or after rotation through 90° or 180° about its centre or one of its vertices (end of year objective)