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PPP(Mathematics Medium Term Planning Year 5
Autumn Term Unit 1
Spring Term Unit 2Summer Term Unit 3A: Counting, Partitioning and Calculating.Explain reasoning using diagrams, graphs and text; refine ways of recording using images and symbols
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
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 10נ10 and use them to multiply pairs of multiples of 10 and 100; derive quickly corresponding division facts
Use knowledge of rounding, place value, number facts and inverse operations to estimate and check calculationsUse efficient written methods to add and subtract whole numbers and decimals with up to two places
Identify pairs of factors of two-digit whole numbers and find common multiples (e.g. for 6and9)
Use understanding of place value to multiply and divide whole numbers and decimals by 10, 100 or 1000
Extend mental methods for whole-number calculations, for example to multiply a two-digit by a one-digit number (e.g. 12נ9), to multiply by 25 (e.g. 16נ25), to subtract one near multiple of 1000 from another (e.g. 60704097)Solve one-step & two-step problems involving whole numbers & decimals; all four operations, choosing & using appropriate calculation strategies, inc calculator
Use written methods to add/subtract whole numbers/decimals up to two places
Identify pairs of factors of two-digit whole numbers and find common multiples
Use understanding of place value to multiply and divide whole numbers and decimals by 10, 100 or 1000
Extend mental methods for whole-number calculations, for example to multiply a two-digit by a one-digit number (e.g. 12נ9), to multiply by 25 (e.g. 16נ25), to subtract one near multiple of 1000 from another (e.g. 60704097)
Use a calculator to solve problems, including those involving decimals or fractions (e.g. to find 3(4 of 150g); interpret the display correctly in the context of measurementSolve one-step and two-step problems involving whole numbers and decimals and all four operations, choosing and using appropriate calculation strategies, including calculator use
Refine and use efficient written methods to multiply and divide HTUנU, TUנTU, U.tנU and HTUU
Use a calculator to solve problems, including those involving decimals or fractions (e.g. to find 3(4 of 150g); interpret the display correctly in the context of measurementB: Securing number facts, understanding shape.Explore patterns, properties and relationships and propose a general statement involving numbers or shapes; identify examples for which the statement is true or false
Recall quickly multiplication facts up to 10נ10 and use them to multiply pairs of multiples of 10 and 100; derive quickly corresponding division facts
Use knowledge of rounding, place value, number facts and inverse operations to estimate and check calculations
Identify, visualise and describe properties of rectangles, triangles, regular polygons and 3-D solids; use knowledge of properties to draw 2-D shapes and identify and draw nets of 3-D shapesIdentify pairs of factors of two-digit whole numbers and find common multiples (e.g. for 6and9)
Use efficient written methods to add and subtract whole numbers and decimals with up to two placesRepresent 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
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. 6.52.7, half of 5.6, double 0.34)
Complete patterns with up to two lines of symmetry; draw the position of a shape after a reflection or translationRepresent 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
Use knowledge of place value and addition and subtraction of two-digit numbers to derive sums and differences and doubles and halves of decimals
Use written methods to add/ subtract whole numbers/decimals up to 2 places
Use a calculator to solve problems, including those involving decimals or fractions (e.g. 3(4 of 150g); interpret the display correctly in the context of measurementC: Handling Data and
MeasuresPlan and pursue an enquiry; present evidence by collecting, organising and interpreting information; suggest extensions to the enquiry
Explain reasoning using diagrams, graphs and text; refine ways of recording using images and symbols
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
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 2.6kg to 2600g)
Interpret a reading that lies between two unnumbered divisions on a scale Find and interpret the mode of a set of dataDescribe the occurrence of familiar events using the language of chance or likelihoodFind and interpret the mode of a set of data
Describe occurrence of familiar events using the language of chance or likelihoodD: Calculating, measuring and understanding shape.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
Use a calculator to solve problems, including those involving decimals or fractions (e.g. to find 3(4 of 150g); interpret the display correctly in the context of measurement
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
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 2.6kg to 2600g)
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 rectangles areaUse understanding of place value to multiply and divide whole numbers and decimals by 10, 100 or 1000
Read timetables and time using 24-hour clock notation; use a calendar to calculate time intervalsUse knowledge of rounding, place value, number facts and inverse operations to estimate and check calculations
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 HTUנU, TUנTU, U.tנU and HTUU
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 lineUse knowledge of rounding, place value, number facts and inverse operations to estimate and check calculations
Use written methods to add subtract whole numbers/decimals with two places
Refine and use efficient written methods to multiply and divide HTUנU, TUנTU, U.tנU and HTUU
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
Read timetables and time using 24-hour clock notation; use a calendar to calculate time intervalsE: Securing number facts, calculations and relationships.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
Express a smaller whole number as a fraction of a larger one (e.g. recognise that 5 out of 8 is 5(8); find equivalent fractions (e.g. 7(10=14(20, or 19(10=19(10); relate fractions to their decimal representations
Find fractions using division (e.g. 1(100 of 5kg), and percentages of numbers and quantities (e.g. 10%, 5% and 15% of 80)Solve one-step & two-step problems involving whole numbers/decimals and all four operations, choosing and using appropriate calculation strategies, inc calculator use
Explain reasoning using diagrams, graphs and text; refine ways of recording using images and symbols
Recall quickly multiplication facts up to 10נ10 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
Extend mental methods for whole-number calculations, for example to multiply a two-digit number by a one-digit number (e.g. 12נ9), to multiply by 25 (e.g. 16נ25), to subtract one near-multiple of 1000 from another (e.g. 60704097)
Refine and use efficient written methods to multiply and divide HTUנU, TUנTU, U.tנU and HTUU
Use a calculator to solve problems, inc those involving decimals or fractions (e.g. find 3(4 of 150g); interpret the display correctly in the context of measurementExplain reasoning using diagrams, graphs and text; refine ways of recording using images and symbols
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)
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)
Use a calculator to solve problems, including those involving decimals or fractions (e.g. find 3(4 of 150g); interpret the display correctly in the context of measurementSolve one-step and two-step problems involving whole numbers and decimals and all four operations, choosing and using appropriate calculation strategies, including calculator use
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)
Refine and use efficient written methods to multiply and divide HTUנU, TUנTU, U.tנU and HTUU
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