Home learning with Maths

• Solve one-step and two-step problems involving whole numbers and decimals and all four operations, choosing and using appropriate calculation strategies, including calculator use. 
• Represent a puzzle or problem by identifying and recording the information or calculations needed to solve it; find possible solutions and confirm them in the context of the problem.
•  Plan and pursue an enquiry; present evidence by collecting, organising and interpreting information; suggest extensions to the enquiry.
• Explore patterns, properties and relationships and propose a general statement involving numbers or shapes; identify examples for which the statement is true or false.
• Explain reasoning using diagrams, graphs and text; refine ways of recording using images and symbols.

Counting and understanding number

• Count from any given number in whole-number and decimal steps, extending beyond zero when counting backwards; relate the numbers to their position on a number line.
• Explain what each digit represents in whole numbers and decimals with up to two places, and partition, round and order these numbers.
• Express a smaller whole number as a fraction of a larger one (e.g. recognise that 5 out of 8 is five eights); find equivalent fractions (e.g. seven tenths = fourteen twentieths, or nineteen tenths = 1 and nine tenths); relate fractions to their decimal representations.
•  Understand percentage as the number of parts in every 100 and express tenths and hundredths as percentages.
• Use sequences to scale numbers up or down; solve problems involving proportions of quantities (e.g. decrease quantities in a recipe designed to feed six people).

 Knowing and using number facts

• Use knowledge of place value and addition and subtraction of two-digit numbers to derive sums and differences and doubles and halves of decimals (e.g. 6.5 ± 2.7, half of 5.6, double 0.34).
•  Recall quickly multiplication facts up to 10 × 10 and use them to multiply pairs of multiples of 10 and 100; derive quickly corresponding division facts.
•  Identify pairs of factors of two-digit whole numbers and find common multiples (e.g. for 6 and 9).
•   Use knowledge of rounding, place value, number facts and inverse operations to estimate and check calculations.

  Calculating

• Extend mental-methods for whole-number calculations, for example to multiply a two-digit by a one-digit number (e.g. 12 × 9), to multiply by 25 (e.g. 16 × 25), to subtract one near-multiple of 1000 from another (e.g. 6070 - 4097).
•  Use efficient written methods to add and subtract whole numbers and decimals with up to two places.
•  Use understanding of place value to multiply and divide whole numbers and decimals by 10, 100 or 1000.
•   Refine and use efficient written methods to multiply and divide HTU × U, TU × TU, U.t × U and HTU ÷ U.
• Find fractions using division (e.g. one hundreth of 5 kg), and percentages of numbers and quantities (e.g. 10%, 5% and 15% of £80).
• Use a calculator to solve problems, including those involving decimals or fractions (e.g. find 3/4 of 150 g); interpret the display correctly in the context of measurement.

Understanding shape

• Identify, visualise and describe properties of rectangles, triangles, regular polygons and 3-D solids; use knowledge of properties to draw 2-D shapes, and to identify and draw nets of 3-D shapes.
• Read and plot coordinates in the first quadrant; recognise parallel and perpendicular lines in grids and shapes; use a set-square and ruler to draw shapes with perpendicular or parallel sides.
• Complete patterns with up to two lines of symmetry; draw the position of a shape after a reflection or translation.
• Estimate, draw and measure acute and obtuse angles using an angle measurer or protractor to a suitable degree of accuracy; calculate angles in a straight line.

 Measuring

• Read, choose, use and record standard metric units to estimate and measure length, weight and capacity to a suitable degree of accuracy (e.g. the nearest centimetre); convert larger to smaller units using decimals to one place (e.g. change 2.6 kg to 2600 g).
•  Interpret a reading that lies between two unnumbered divisions on a scale.
•  Draw and measure lines to the nearest millimetre; measure and calculate the perimeter of regular and irregular polygons; use the formula for the area of a rectangle to calculate the rectangle's area.
• Read timetables and time using 24-hour clock notation; use a calendar to calculate time intervals.

 Handling data

• Describe the occurrence of familiar events using the language of chance or likelihood.
• Answer a set of related questions by collecting, selecting and organising relevant data; draw conclusions, using ICT to present features, and identify further questions to ask.
• Construct frequency tables, pictograms and bar and line graphs to represent the frequencies of events and changes over time.
• Find and interpret the mode of a set of data.