# Mathematics

### Head of Department (Yrs 6-8): Mr Paul Bruning

### 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 Addition, subtraction Multiplication, division Tables Place value, rounding Column addition 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 Drawing triangles and quadrilaterals Negative numbers Congruence and similarity Proportion Fractions – mixed, improper, equivalence, cancelling Linking fractions to division 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 | Review, revise and extend the CE syllabus Past paper practice |

## Remove | Pythagoras’ Theorem Fractional equations Simultaneous Equations Sequences – nth term Review quadratic graphs 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 ÷ 4Interpreting 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 | Revision and past paper practice |

## Remove | 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 | Revision and past paper practice |

## Remove | Revision and past paper practice |

* – top set only