Curriculum Overview for MATHEMATICS Revised: Spring 2015 To be reviewed: Summer 2016 Year 1 Lesson Allocation: Five lessons of 45 minutes One lesson of 30 minutes on Maths Whizz Schemes of work used/textbooks/resources: New Heinemann Mathematics Y1 Activity books: Shape, Measure and Data Handling, Addition to 10, Subtraction to 10, Money, Number to 20, Check-up Workbook Abacus Y1 Photocopy Masters Single copies of Heinemann Y1 Workbooks, Ginn workbooks Teaching methods: Whole class introductions, individual, group, paired work as appropriate. Children are encouraged to share methods used with their peers. Written work: Children record their practical work using wipe boards, individual activity books, worksheets, graph paper and individual exercise books where appropriate. Homework is collated in individual files. Homework: One 20 minute piece per week; 30 minutes Maths Whizz homework per week. Assessment: Continual assessment of oral and written work completed Check-up pages in activity books and check-up books PIPS Assessments yearly Maths Whizz continual assessment Topics/Skills: Term 1 Consolidation of numbers to 20 – count/read/write Counting in 1s and 10s Partitioning of a teen number Addition and subtraction to 10 Doubling of numbers and introduction of near doubles to 20 Money- consolidation of coin values, addition of coins, discuss how it is used in everyday life Length using standard and non-standard units 2D and 3D shape Time – o’clock on analogue and digital clocks Mathematical vocabulary – language associated with standard and non-standard units, length, time, money Term 2 Extend numbers to beyond 20 Subtraction and addition up to 20 Partitioning a 2 digit number Money consolidation of recognition of coins and introduction to change, discuss how it is used in everyday life Weight using standard and non-standard units 2D and 3D shape – description of features Time – ½ past on analogue and digital clocks 2 Rosemead Preparatory School MATHEMATICS OVERVIEW Data handling – simple graphs and tables Mathematical vocabulary - language associated with 2D and 3D shapes, time, standard and non-standard units of weight Term 3 Revise/consolidate and extend numbers to 100 Counting in 2s, 3s, 5s and 10s Addition and subtraction of numbers over 20 Money – consolidation of coins and extension to £2.00 coins, discuss how it is used in everyday life Place value to 20 and 100 Capacity using standard and non standard units 2D shape – patterns and symmetry 3D shape recognition Time – ½ past and ¼ to/past and duration for both analogue and digital clocks Data handling – sorting/classifying/organizing information Mathematical vocabulary – language associated with symmetry, standard and non standard units of capacity, time Year 2 Lesson Allocation: Five lessons of 1 hour inclusive of 30 minutes of Maths Whizz Schemes of work used/textbooks/resources: New Heinemann Mathematics Y2 Activity books: Shape, Measure and Data Handling, Addition/Subtraction to 20, Addition/ Subtraction to 100, Money and Fractions, Multiplication/ Division, Numbers to 100 and 1000, Check-up Photocopy Masters New Heinemann Level 3 Textbook, Level 3 Activity books Abacus Y2 Photocopy Masters Peak textbook 0 and 1 Teaching methods: Whole Class introductions, individual, group, paired work as appropriate. Children are encouraged to share methods used with their peers. Written work: Children record their practical work using wipe boards, individual activity books, worksheets, graphic paper and individual exercise books where appropriate. Homework is collated in individual files. Homework: One 20 minute piece per week; 30 minutes Maths Whizz homework per week. Assessment: Continual assessment of oral and written work completed Check-up pages in activity books and check-up books PIPS Assessments yearly 3 Rosemead Preparatory School MATHEMATICS OVERVIEW Maths Whizz continual assessment NC mathematics assessment once a year Topics/Skills: Term 1 Recognition/familiarization of addition and subtraction to 20 Number bonds to 20 Place value – tens and units 2D and 3D shape - recognition of shapes and properties Odd and even numbers – recognition and ordering Length – estimating and comparing, using centimetre, ½ and 1 metre measures Fractions – ½ and ¼ Time – o’clock ½ past - analogue and digital Multiplication tables – 2, 5, 10 Mathematical vocabulary – language associated with place value, properties of shape, measure, fractions, time Handling data- collecting, sorting, tallying and bar charts Term 2 Revision/consolidation and extension of addition and subtraction to 100 Ordering of 3 digit numbers Money – notation, addition of all coins and change, discuss how it is used in everyday life Weight – kilograms, estimating weights Revision and consolidation of time Introduction of division as grouping. Handling data – bar graphs and tally charts Symmetry- reflective and rotational Revision of multiplication tables – extend to include 3, 4, 11 Mathematical vocabulary – language associated with money, weight, 2D and 3D shape, fractions, time, division Time o’clock ½ past, ¼ past/to, analogue and digital Term 3 Place value H T U TU and HTU addition and subtraction Shape- recognition of right angle Multiplication – notation and multiplying by 10 and 100 Time o’clock ½ to/past, ¼ past, calculating time intervals, analogue and digital Division – equal sharing and notation Capacity – estimating and comparing, reading scales to 1 litre Estimating and rounding numbers Recognition of whole, half and quarter turns Recognition of compass points [north, south, east. west] Data handling – Carroll diagrams, Venn diagrams Revision of 4 rules of number Revision of multiplication tables – extend to 7, 12 and 4 Mathematical vocabulary – language associated with data handling and revision of work covered so far 4 Rosemead Preparatory School MATHEMATICS OVERVIEW Year 3 Lesson Allocation: Five lessons of 1 hour plus 30 minutes of Maths Whizz Schemes of work used/textbooks/resources: New Heinemann Maths Year 3 books Target Maths Year 3 Peak Mathematics Ginn Mathematics Schofield and Sims Mental Arithmetic Teaching methods: Whole Class introductions, individual, group, paired work as appropriate. Children are encouraged to share methods used with their peers. Written work: Children record their practical work using wipe boards, individual activity books, worksheets, graphic paper and individual exercise books where appropriate. Homework: One 20 minute piece per week, plus the occasional weekend homework 30 minutes Maths Whizz per week Daily times tables practice Assessment: Continual assessment of oral and written work completed CGP Assessments once termly Maths Whizz continual assessment PIPs in Autumn term Topics/Skills: Term 1 Revision and consolidation of place value – extend to 4 digit numbers Rounding of numbers to 10 Addition and subtraction with number lines Number bonds 2D shape – identification according to properties Symmetry –identify lines of symmetry in 2D shapes Time – read and write time for o’clock, ¼ to/past and ½ past Multiplication – doubling and informal written methods Division – halving Revision/consolidation of multiplication tables Mathematical vocabulary – language associated with place value, estimating and rounding, 2D shape, symmetry, time. Term 2 Revision/consolidation of addition and partitioning Revision/consolidation of subtraction and partitioning Number bonds to 20 for addition and subtraction Multiplication – informal and formal setting out Division – remainders, informal and formal setting out Money – revise coins, use coins and calculate change, notation including £ and decimal point, discuss how it is used in everyday life 3D shape – identify and names 3D shapes from properties 5 Rosemead Preparatory School MATHEMATICS OVERVIEW Fractions – fractions of a shape, comparing and ordering Data handling - surveys and tallying graphs and charts Units of measurement - mass, capacity, and length Co-ordinates – turns and angles – left/right and clockwise/anti-clockwise, use simple co-ordinates and grid references to establish the position of an object on a map Problem solving – using a variety of techniques Mathematical vocabulary – language associated with money, 3D shapes, units of measurement, and problem solving. Term 3 Estimating and rounding to nearest tens, hundreds and thousands Fractions – recognize simple fractions, notation, calculate simple fractions of a whole number Time revision/consolidation of o’clock ¼ to/past and ½ past, sequencing, calculating difference between intervals of time. Area – introduction, measuring and calculating from counting squares Perimeter – introduction, measuring and calculating Money - £5.00, £10.00 and £20.00 notes, calculations using combinations of notes and coins, calculations giving change, discuss how it is used in everyday life Units of measurement - mass, capacity, and length Addition – revision/consolidation – introduce ordinal numbers Subtraction – revision /consolidation –introduce vertical subtraction and setting out Division and Multiplication – revision/reinforcement and consolidation of work – methods, notation Mathematical vocabulary – language associated with fractions, time, money, weight, capacity, ordinal numbers, co-ordinates Year 4 Lesson Allocation: Four lessons of 1 hour plus 30 minutes of Maths Whizz and 30 minutes of mental maths Schemes of work used/textbooks/resources: New Heinemann Maths Year 4 books Target Maths Year 4 Peak Mathematics Think and Solve Schofield and Sims Mental Arithmetic Teaching methods: Whole Class introductions, individual, group, paired work as appropriate. Children are encouraged to share methods used with their peers. Written work: Children record their practical work using wipe boards, individual activity books, worksheets, graphic paper and individual exercise books where appropriate Homework: Three 30 minute pieces per week 30 minutes Maths Whizz per week Weekly times tables practice Assessment: Continual assessment of oral and written work completed 6 Rosemead Preparatory School MATHEMATICS OVERVIEW CGP Assessments once termly Maths Whizz continual assessment CATs in Autumn term Topics/Skills: Term 1 Revision/consolidation of place value – extend to numbers to 10 000 Money - recognition of all coins and notes up to £20.00 – convert between pounds and pence, discuss how it is used in everyday life Addition – notation and formal recording, addition of 3 digit numbers, using in problem solving Length – read and write in standard metric units, use decimal notation, find simple perimeters, measure and draw lengths to nearest ½ cm Subtraction – bridging and exchanging, checking using addition Time – using simple timetables and calendars, use am and pm and 12 hour notation, intervals of 1 and 5 minutes Multiplication - revise/reinforce and consolidate multiplication tables to 12, short and long multiplication of 2 and 3 digit integers by 1 and 2 digit integers, use commutative and associative laws of multiplication, multiply by 10 and 100 Weight – read and write in standard metric units, use decimal notation, convert between units Division – formal recording, using multiplication facts to calculate division, short division. 3D shape – revise and consolidate 3D shapes and extend to include tetrahedrons Mathematical vocabulary – language associated with money, time, weight and shape. Fractions – recognize fractions of amounts and equivalent fractions, and find fractions of quantities. Term 2 Addition – using and applying to problem solving Data handling – collect, organize and record data on a chart, table, bar chart or pictogram, Venn and Carroll diagrams Multiplication – long multiplication, multiply a positive integer by 10, 100, 1000, 10 000 Division – remainders – notation and recording formally and informally, use in problem solving Fractions – equivalent fractions, addition of simple fractions, recognize equivalence between fractions and decimals Decimals – use decimal notation for tenths and corresponding notation for common fractions, comparing and ordering, addition and subtraction 2D shape - revise/reinforce and consolidate 2D shape properties and be able to classify polygons using properties, introduction to angles – comparing and ordering Co-ordinates - compass points and bearings as clockwise/anti-clockwise turns – extend to degrees of turn Area – revise standard units of measurement, measure and accurately draw shapes, investigate different shapes with the same area. Mathematical vocabulary – language associated with shape, decimals, fractions, coordinates and bearings, angles and turns, data handling – Venn and Carroll diagrams, compass points. Angles – marking, measuring and ordering angles. Term 3 Addition – revise/reinforce and consolidate previous work, estimating and rounding Subtraction - revise/reinforce and consolidate previous work 7 Rosemead Preparatory School MATHEMATICS OVERVIEW Number properties - Revise/reinforce and consolidate place value up to 8 digit numbers, read and write accurately numbers to 1 000 000, odd and even numbers – extend to negative numbers, use of greater than and less than symbols. Money – revise and consolidate recognition of all coins and notes up to £20.00 – convert between pounds and pence. Extend to estimating cost by rounding to the nearest pound, discuss how it is used in everyday life Time – revise/reinforce and consolidate previous work, order months of the year Multiplication - Revise/reinforce and consolidate all multiplication tables to 12, use and apply in problem solving 2D shape – symmetry, properties including angles Data Handling – extract information from, tables, charts and graphs Mathematical vocabulary – language associated with area, place value, time, money, negative numbers, shape Word problems – having confidence to solve these and understand which operation(s) to use Calculation strategies – building up confidence and security with a formal written method for each of the four operations Year 5 Lesson Allocation: Five lessons of 1 hour plus 30 minutes of Maths Whizz Schemes of work used/textbooks/resources: Target Maths Year 5 New Heinemann Maths Year 5 books Ginn Mathematics Think and Solve Schofield and Sims Mental Arithmetic Teaching methods: Whole Class introductions, individual, group, paired work as appropriate. Children are encouraged to share methods used with their peers. Written work: Children record their practical work using wipe boards, individual activity books, worksheets, graphic paper and individual exercise books where appropriate Homework: Three 30 minute pieces per week 30 minutes Maths Whizz per week Weekly times tables practice Assessment: Continual assessment of oral and written work completed CGP Assessments once termly Maths Whizz continual assessment Examination practice papers CATs in Autumn term 8 Rosemead Preparatory School MATHEMATICS OVERVIEW Topics/Skills: Term 1 Place value - revise/reinforce and consolidate numbers to 10,000 – extend to 1,000,000 order and sequence numbers Addition of three 3 digit integers – extend to 4 digit integers, carrying, doubling Subtraction using mental strategies, halving, formal methods of notation and setting out Multiplication – long multiplication, revise/reinforce/consolidate, multiplication tables to 12, formal notation and setting out Division – use multiplication tables facts to solve division problems, halving, division with remainders, using multiplication to check accuracy Number properties - revise/reinforce and consolidate estimating and rounding and extend to 1 000 000 Time - revise/reinforce and consolidate analogue and digital time and extend to 24 hour notation, read and use simple timetables Length – estimate and measure various lengths, measure and/or calculate perimeter of rectangles and regular polygons, use fraction and/or decimal notation to record units Fractions - revise/reinforce and consolidate previous work – introduce mixed numbers and improper fractions, formation of equivalent fractions, simple addition and subtraction of fractions Decimals - revise/reinforce and consolidate previous work – links with fractions, rounding decimals to nearest whole number, compare and order 3 and 4 digit decimal numbers, addition and subtraction of decimals using formal notation and setting out Mathematical vocabulary – language associated with place value, estimating and rounding, four rules of number, time, length, perimeter Term 2 Mass – conversion between standard metric units, introduce imperial units, rough equivalents of imperial to metric units Percentages – introduction, links between percentages, decimals and fractions, percentage of a set quantity, compare and order numbers involving fractions, decimals and percentages 2D shape - revise/reinforce and consolidate previous work, introduce properties and types of triangles, parallel, perpendicular and diagonal lines, line symmetry and rotational symmetry 3D shape - revise/reinforce and consolidate previous work, classify 3D shapes by properties – introduce faces, edges and vertices Area – use formula area = length x breadth (width) to calculate simple areas, total surface area of 3D shapes, area of complex 2D shapes Mathematical vocabulary – language associated with fractions, decimals, weight, percentages, shape, area Data handling – construct and interpret bar charts, trend graphs and frequency charts Averages – introduction of mean, median, mode and range Probability – fair and unfair, know that outcomes can be recorded in different ways even chance, certain, impossible, likely and unlikely Term 3 Capacity - conversion between standard metric units, introduce imperial units, rough equivalents of imperial to metric units, calculate volume of 3D shapes Co-ordinates – understand and use co-ordinates including numerical and alphanumerical co-ordinates, co-ordinates in 4 quadrants and reflections of 2D shapes Angles – measure and draw different angles using a protractor, formal notation of degrees 9 Rosemead Preparatory School MATHEMATICS OVERVIEW Fractions revise/reinforce and consolidate previous work – extend to multiplication and division of fractions Decimals revise/reinforce and consolidate previous work – extend to multiplication and division of Decimals Revise/reinforce and consolidate work on addition and subtraction, multiplication and division Mathematical vocabulary – language associated with frequency charts, averages, probability, capacity, co-ordinates, angles Islam art patterns Year 6 Lesson Allocation: Five lessons of 1 hour plus 30 minutes of Maths Whizz Schemes of work used/textbooks/resources: Target Maths Year 6 Peak Mathematics 5, 6 and 7 Think and Solve Schofield and Sims Mental Arithmetic Master Maths Junior Maths Book 3 Essential Maths 7S, 7C and 7H Teaching methods: Whole Class introductions, individual, group, paired work as appropriate. Children are encouraged to share methods used with their peers. Written work: Children record their practical work using wipe boards, individual activity books, worksheets, graphic paper and individual exercise books where appropriate Homework: Three 30 minute pieces per week 30 minutes Maths Whizz per week Weekly times tables practice Assessment: Continual assessment of oral and written work completed CGP Assessments once termly Maths Whizz continual assessment Examination practice papers CATs in Autumn Topics/Skills: Term 1 Weekly practice of 11+ examination papers Mathematics lessons will be based on the needs of each mathematics set in order to best prepare the children for their entrance examinations. Topics covered may include: Number patterns – recognize and generate a sequence of numbers, describe the rule that continues the pattern or sequence to nth term, square and triangle numbers, Fibonacci sequence 10 Rosemead Preparatory School MATHEMATICS OVERVIEW Decimals – addition, subtraction, multiplication and division, comparing and ordering Fractions - revise/reinforce and consolidate previous work, fractions of a number, introduce lowest terms or simplest form, convert fractions to decimals Ratios - introduction to ratio, using fractions to compare ratios Percentages – understand % as number of parts in 100, find a percentage of a whole number, convert percentages to decimals and/or fractions, increase/decrease quantities by a given percentage Probability – outcome of events can differ, use probability scale, experimental probability Perimeter, Area and Volume - revise/reinforce and consolidate previous work, calculate complex areas and perimeters Multiplication - revise/reinforce and consolidate previous work – extend to powers of numbers and long multiplication of 3 digit integer by 3 or 4 digit integer Division - revise/reinforce and consolidate previous work – extend to long division with remainders Mathematical vocabulary – language associated with number patterns, fractions, decimals, ratios, probability, percentages Puzzle and Investigative maths Term 2 Final revision and practice of 11+ papers Negative Numbers - order a set of positive and negative numbers, use negative numbers in context, add and subtract positive and negative numbers 2D and 3D shape - revise/reinforce and consolidate previous work – symmetry in different types of triangles, draw parallel and right angles shapes using set squares and rulers, identify types of prisms and pyramids, plane symmetry Data handling - revise/reinforce and consolidate previous work – extend to dual bar charts, pie charts, line and scatter graphs, discrete and continuous data Averages - revise/reinforce and consolidate previous work – extend to comparisons between the mean and range of a sets of data, use frequency tables, use formula to calculate mean Co-ordinates - revise/reinforce and consolidate previous work – extend to co-ordinates in 4 quadrants, interpret and construct graphs in 4 quadrants, equations of straight and sloping lines, draw a graph from its equation, interpret and construct conversion graphs Mathematical vocabulary – language associated with negative numbers, 2D and 3D shapes, data handling, averages, co-ordinates Mathematical vocabulary – language associated with negative numbers, shape, handling data – charts and graphs, averages, co-ordinates. Puzzle and Investigative maths Term 3 Length - revise/reinforce and consolidate previous work – extend to reading more complex scales, accurate drawing/measuring of given lengths, solving problems involving length Weight - revise/reinforce and consolidate previous work – extend to reading more complex scales, solving problems involving weight Capacity - revise/reinforce and consolidate previous work – extend to reading more complex scales, solving problems involving capacity Time – read and use 24 hours notation, elapsed time, using timetables, duration Transformations – revise line and rotational symmetry, translate shapes in 4 quadrants, tessellation, congruence and similarity 11 Rosemead Preparatory School MATHEMATICS OVERVIEW Angles – measure and name angles, relationship of angles in a shape or at a point, construction of triangles from given angles and lengths using rulers, protractors and a pair of compasses Formulae and Equations – use word formulae, use letters to represent numbers, formulae with 2 operations, algebraic formulae, substitution, writing and solving equations Investigations – using and applying mathematical knowledge to investigate a problem Mathematical vocabulary – language associated with length, weight, capacity, time, transformations, angles, equations. Curve stitching 12 Rosemead Preparatory School MATHEMATICS OVERVIEW
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