HAAVIK Live - Rosemead Preparatory School

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
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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
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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
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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
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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
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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
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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