 # Mathematics

### Head of Department (Yrs 3-5): Mrs Renee Bruning

Our key objective in the Saint Ronan’s Maths department is to promote an enthusiastic enjoyment of Maths through understanding. Mathematics teaches us how to make sense of the world around us. By developing a child’s ability to calculate, reason and solve problems, children learn to understand and appreciate relationships and patterns in their every day lives.

Our aim is to promote enjoyment and enthusiasm for the learning of Maths through practical activity, exploration and discussion. We believe that children should take risks in Maths and adopt a ‘have-a-go’ approach to all problems. Giving a child confidence in Maths is key to a child enjoying the subject and being competent at using and applying it.

## Autumn

### Class 3

-Main Objectives for the year: Base line tables – 2,3,4,5,10 and 11. Secure number work – bonds, place value, counting, addition, subtraction and simple multiplitcation. To have met: division, analogue time, money, measurement, shapes and fractions of an amount. To gain confidence in problem solving and mental arithmetic. Decimals are introduced on a simple basis when looking at place value, and doing money problems. Word problems are introduced as part of problem solving.
-Our number system: How do we count? Reading, writing and saying numbers. Place value. Ordering numbers
Number bonds for 10, 100,…
Multiplication – 2s, 5s, 10s
Fractions – emphasise ‘a whole divided into equal parts’
Units of time – 1 hr = 60 mins, 1 min = 60 secs, 7 days = 1 week, 1 year = 52 weeks; names of months, number of days in each month
Time – know how to tell the time on an analogue clock
Multiplication – review x2, x5, x10, learn x3, x4; use in problem solving
Subtraction

### Class 4

Maths symbols:
<,>,≤,≥,=,≠,≈
Number lines
Multiplication, division
Tables
Place value, rounding
Fractions – understanding
Inverses: +, – , x, ÷
Column subtraction
Angles
Factors, multiples
Polygons
Coordinates

### Shell

Line and rotational symmetry
Division – written method (bus-stops); decimal ÷ whole number
Algebraic expressions
Long multiplication
Geometry – angles at a point, on straight line, vertically opposite, in a triangle
Negative numbers
Congruence and similarity
Proportion
Fractions – mixed, improper, equivalence, cancelling
Ratio

### Midway

Proportion – unitary method, scaling recipes
BIDMAS with algebra – function method
Rounding – decimal places
Circles – naming parts, circumference, area
Directed numbers – all rules for +, – , x, ÷
Simple equations – using inverse approach
Percentages (non-calculator) – increase, decrease, expressing an amount as a % of another, expressing an increase/decrease as a % of the original
Algebraic expressions – more complex including substitution
Multiplying decimals
Fractions: + – x ÷
Speed, distance, time – use unitary method and scaling
Distance/Time graphs
Geometry – review. More complex diagrams

### Upper

Rounding, decimal places and significant figures. Use to estimate calculations involving BIDMAS
Work out CE questions using a calculator
Percentages, including increase & decrease and reverse percentages (for higher sets)
Probability – review and calculate probabilities from a 2-way table
Geometry – parallel line rules: allied/interior, alternate, corresponding
Indice rules
Expanding brackets including negatives
Factorising – simple
Prime factorisation – use to find Highest Common Factors, Lowest Common Multiples and square roots
Equations – 3 steps
Inequalities (set 1 only)

### Remove Sets 2,3 & 4

Review, revise and extend the CE syllabus
Past paper practice

### Remove Set 1

Pythagoras’ Theorem
Fractional equations
Simultaneous Equations
Sequences – nth term
Review inequalities – algebraic and graphical
Problem solving with algebra; rearranging the subject of the formula

## Spring

### Class 3

-Main Objectives for the year: Base line tables – 2,3,4,5,10 and 11. Secure number work – bonds, place value, counting, addition, subtraction and simple multiplitcation. To have met: division, analogue time, money, measurement, shapes and fractions of an amount. To gain confidence in problem solving and mental arithmetic. Decimals are introduced on a simple basis when looking at place value, and doing money problems. Word problems are introduced as part of problem solving.
-addition/subtraction, multiplication by counting up in 100s, 500s, etc.
Decimal System – Extend table H T U . 1/10 1/100
Reinforce fractions – a whole split into 10 equal parts.  Simple conversions, which is bigger: 4/10  or 0.5  Arranging decimals in order.
Metric Units – introduce units used for measuring a length. Understand words milli, centi, kilo. mm-cm-m-km
More addition/subtraction – use number bonds to add larger numbers eg 28 + 4 = 28 + 2 + 2 = 32
63 – 7 =  63 – 3 – 4 Extend to 3 digit numbers. Use place value by adding UNITS first, then TENS.
Multiplication table: x6, x8, x9
Division – define it as sharing into groups. Review halving and link to fractions. Find 1/4  of 12 as 12 ÷ 4
Interpreting data – tally, total, pictograms, bar charts (plotted on prepared axes)
Money system – pounds to pence, simple change problems.
Metric units – weight
Mental arithmetic review – games based

### Class 4

x, ÷ 10, 100, 1000
Column multiplication
Equivalent fractions – visual understanding
Perimeter of 2D shapes. Inverse problems finding length given perimeter.
Division – use x, ÷ facts to divide 2 and 3 digit numbers by a 1 digit number
Sequences – simple 1 step increase/decrease, half/double
Decimal system – Place Value table. Convert tenths, hundredths to decimals.
Metric System – length, mass, volume
Negative numbers on a number line
Area – find area of rectangles by counting squares, multiplication facts
3D shapes and nets – prisms, pyramids, faces, edges, vertices

### Shell

Square numbers, square roots, cube numbers, cube roots, triangular numbers, prime numbers
BIDMAS – order of operations
Algebra – Collecting like terms
Factors, Multiples, simple HCFs and LCMs
Percentages – what is a %, use 100 squares, convert 1/2 1/4 1/10 1/5  to % and decimals. Find 10% and 1% of an amount.
Algebra: x and ÷ simple terms
X decimals eg 9.2 x 4
Area of triangle
Algebra substitution – simple formulae
Line graphs – conversion, interpreting line graphs, simple rate of change
Sequences – introduce the word ‘term’, express as a mapping, rule/code

### Midway

Equations – build up to 2 steps with brackets
Averages – calculate a mean and work backwards to find a missing value given the mean
Algebra – collecting like terms such as ab + ba + a² solving equations with letters on both sides
Prime Factors – factors trees, finding a square and other factors of a number
Division – decimal÷decimal
Expanding brackets
3D shapes and nets – draw on isometric paper, scale draw nets for prisms and pyramids
Surface area – prisms and pyramids
Probability – introduce, estimate, calculate, experimental, expected
Algebraic substitution – more complex, use negative number rules
Transformations – reflect, rotate, translate, using Cartesian graphs lines

### Upper

Area of circles – extend to sectors, composite shapes, CE questions
Geometry of polygons – calculate exterior, interior of regular polygons. Find sum of interior angles of any polygon, CE questions
Enlargements – enlarge a shape from a point with a scale factor. Area scale factor = (length scale factor)². CE questions
Speed – reinforce unitary method. Convert between units: km/h-m/s etc
Ratio – solve problems involving a gap, CE questions
Bearings – understand 3 figures, from North, clockwise. Scale drawing, map scales
Fractions – 4 operations with mixed numbers
Proportion – conversion between metric and imperial units
Coordinate Geometry – review plotting an equation in the form y=mx+c. Level 3 – quadratic curves

### Remove Set 2,3 & 4

Revision and past paper practice

### Remove Set 1

Revision and practice papers, scholarship and extension material

## Summer

### Class 3

-Main Objectives for the year: Base line tables – 2,3,4,5,10 and 11. Secure number work – bonds, place value, counting, addition, subtraction and simple multiplitcation. To have met: division, analogue time, money, measurement, shapes and fractions of an amount. To gain confidence in problem solving and mental arithmetic. Decimals are introduced on a simple basis when looking at place value, and doing money problems. Word problems are introduced as part of problem solving.
-Reinforce fractions using pictures
Addition – review year’s work; partitioning, number bonds, place value, problem solving
Division – facts from multiplication, remainders, practical situations
Metric Units, volume
Units, measuring liquids: 1000ml = 1 litre
Seeing that 1cm³= 1ml
Understand ½,¼,¾ litres in ml
Subtraction review using number line to bridge
Multiplication – easy chunking eg 2×32
Mental methods

### Class 4

Scales, number lines
Including decimal fractions to 1/100
Draw bar charts and extract information from a bar chart
Angles – full turn, 360°, half turn 180°, quarter turn 90°
Parallel, perpendicular lines, acute, obtuse, reflex angle
Using a compass – draw a circle with a compass,  Bisect lines.  Learn names radius, diameter, circumference
Pie charts – interpret using ½¼¾
Time – problem solving with units. Convert between minutes and hours; understand minutes past and to; tell the time on analogue and digital clocks

### Shell

Quadrilaterals – recognise, name and know properties of square, rectangle, rhombus, parallelogram, kite and trapezium.
Calculate are of quadrilaterals – square, rectangle, parallelogram, rhombus, kite, trapezium
Coordinates – plot in four quadrants
Plot a line of coordinates; discover what they have in common eg x=4, y=2
Volume – find volume of cuboids by area of cross-section x height
Averages – mean, median, mode, range, outliers
Carroll and Venn diagrams

### Midway

Ratio – find a missing amount by scaling/proportion. Link to fractions 1:4  and 1/5
Scatter graphs – understand, draw, correlation, line of best fit, predict outcomes
Sequences – investigate links with mapping, find the rule as ‘nth term’, use this to find terms in a sequence
Straight line graphs – link x and y, calculate coordinates. Draw axes, plot coordinates and label line. Understand that the line demonstrates the relationship between x and y
Inequalities: Displaying on a number line. Set 1 to display graphically

### Upper

Pie charts – Interpret, construct and work out inverse problems, CE questions.
Averages – Interpret data and mean, median, mode, range for a frequency table
Volume – Calculate for any prism including a cylinder. Know 1cm³=1ml, 1000cm³=1 litre, 1m³=100x100x100cm³
Review the year’s work

### Remove Set 2,3 & 4

Revision and past paper practice

### Remove Set 1

Revision and past paper practice

* – top set only