SEPTEMBER OCTOBER NOVEMBER Weeks 1 – 3 Number: Basic Number Weeks 4 – 6 Geometry and measures: Measures and scale drawings Week 7 Statistics: Charts, tables and averages Week 8 Holiday Week 9 Statistics: Charts, tables and averages NOVEMBER DECEMBER JANUARY Weeks 10 – 12 Geometry and measures: Angles Weeks 13 – 15 Number: Number properties Week 16 Holiday Week 17 Holiday Weeks 18 – 19 Number: Approximations Weeks 20 – 21 Number: Decimals and fractions JANUARY FEBRUARY MARCH Weeks 22 – 23 Algebra: Linear graphs Week 24 Holiday Week 25 Algebra: Linear graphs Weeks 26 – 28 Algebra: Expressions and formulae Weeks 29 – 30 Ratio and proportion and rates of change: Ratio, speed and proportion APRIL MAY JUNE Week 31 Holiday Week 32 Holiday Weeks 33 – 34 Geometry and measures: Perimeter and area Weeks 35 – 36 Geometry and measures: Transformations Week 37 Probability and events Week 38 Holiday Week 39 Probability: Probability and events Week 40 Geometry and measures: Volumes and surface areas of prisms JUNE JULY
SEPTEMBER OCTOBER NOVEMBER Weeks 1 – 2 Ratio and proportion and rates of change: Percentages and compound measures Weeks 3 – 4 Ratio and proportion and rates of change: Percentages and variation Weeks 5 – 7 Statistics: Representation and interpretation Week 8 Holiday 9 – 10 Geometry and measures: Constructions and loci NOVEMBER DECEMBER JANUARY Weeks 11 – 12 Geometry and measures: Curved shapes and pyramids Week 13 Revision and review 14 – 15 Mock examinations and revision Week 16 Holiday Week 17 Holiday Weeks 18 – 19 Algebra: Number and sequences Weeks 20 – 21 Geometry and measures: Right-angled triangles JANUARY FEBRUARY MARCH Week 22 Geometry and measures: Right-angled triangles Week 23 Holiday Weeks 24 – 25 Geometry and measures: Congruency and similarity Weeks 26 – 27 Probability: Combined events Weeks 28 – 29 Number: Powers and standard form Week 30 Holiday APRIL MAY JUNE Week 31 Holiday Week 32 Number: Powers and standard form Weeks 33 – 35 Algebra: Simultaneous equations and linear inequalities 36 – 37 Algebra: Non-linear graphs Week 38 Holiday Weeks 39 – 40 Revision JUNE JULY
Week 41 June examinations Week 42 June examinations Week 43 Week 44 Week 45 Year Term Week Hours Chapter break-down Learning Objectives: Students will be able to: Year 10 Term 1 Week 1 – 3 10 1: Number: Number 1.1 Place value and ordering numbers • use a number line to represent negative numbers • use inequalities with negative numbers • compare and order positive and negative numbers. 1.3 The four rules • use the four rules of arithmetic with integers and decimals. 1.2 Order of operations and BIDMAS • work out the answers to problems with more than one mathematical operation. Week 4 – 6 10 2: Geometry and measures: Measures and scale drawings 2.1 Systems of measurement • convert from one metric unit to another • convert from one imperial unit to another. 2.2 Conversion factors • use approximate conversion factors to change between imperial units and metric units. 2.3 Scale drawings • read and draw scale drawings • use a scale drawing to make estimates. 2.4 Nets • draw nets of some 3D shapes • identify a 3D shape from its net.
2.5 Using an isometric grid • read from and draw on isometric grids • interpret diagrams to draw plans and elevations. Week 7 3 3: Statistics: Charts, tables and averages 3.1 Frequency tables • use tally charts and frequency tables to collect and represent data • use grouped frequency tables to collect and represent data. 3.2 Statistical diagrams • draw pictograms to represent statistical data • draw bar charts and vertical line charts to represent statistical data. Week 8 Holiday Week 9 4 3: Statistics: Charts, tables and averages 3.3 Line graphs • draw a line graph to show trends in data. 3.4 Statistical averages • work out the mode, median, mean and range of small sets of data • decide which is the best average to use to represent a data set. Week 10 – 12 10 4: Geometry and measures: Angles 4.1 Angles facts • calculate angles on a straight line • calculate angles around a point • use vertically opposite angles. 4.2 Triangles • recognise and calculate the angles in different sorts of triangle. 4.3 Angles in a polygon • calculate the sum of the interior angles in a polygon.
4.4 Regular polygons • calculate the exterior angles and the interior angles of a regular polygon. 4.5 Angles in parallel lines • calculate angles in parallel lines. 4.6 Special quadrilaterals • use angle properties in quadrilaterals. 4.7 Bearings • use a bearing to specify a direction. Week 13 – 15 10 5: Number: Number properties 5.1 Multiples of whole numbers • find multiples of whole numbers • recognise multiples of numbers. 5.2 Factors of whole numbers • identify the factors of a number. 5.3 Prime numbers • identify prime numbers. 5.4 Prime factors, LCM and HCF • identify prime factors • identify the lowest common multiple (LCM) of two numbers • identify the highest common factor (HCF) of two numbers. 5.5 Square numbers • identify square numbers • use a calculator to find the square of a number. 5.6 Square roots • recognise the square of square numbers up to 225 • use a calculator to find the square of any number. 5.7 Basic calculations on a calculator • use some of the important keys when working on a calculator. Week 16 Holiday Week 17 Holiday 2 Week 7 6.1 Rounding whole numbers • round a whole number.
18 – 19 6: Number: Approximations 6.2 Rounding decimals • round decimal numbers to a given accuracy. 6.3 Approximating calculations • identify significant figures • round numbers to a given number of significant figures • use approximation to estimate answers and check calculations • round a calculation at the end of a problem, to give what is considered to be a sensible answer. Week 20 – 21 7 7: Number: Decimals and fractions 7.1 Calculating with decimals • multiply and divide with decimals. 7.2 Fractions and reciprocals • recognise different types of fraction, reciprocal, terminating decimal and recurring decimal • convert terminating decimals to fractions • convert fractions to decimals • find reciprocals of numbers or fractions. 7.3 Writing one quantity as a fraction of another • work out a fraction of a quantity • find one quantity as a fraction of another. 7.4 Adding and subtracting fractions • add and subtract fractions with different denominators. 7.5 Multiplying and dividing fractions • multiply proper fractions • multiply mixed numbers • divide by fractions. 7.6 Fractions on a calculator • use a calculator to add and subtract fractions • use a calculator to multiply and divide fractions.
12: Geometry and measures: Transformations • recognise shapes with rotational symmetry. 12.2 Translation • translate a 2D shape 12.3 Reflections • reflect a 2D shape in a mirror line. 12.4 Rotations • rotate a 2D shape about a point 12.5 Enlargements • enlarge a 2D shape by a scale factor 12.6 more than one transformation • use more than one transformation. 12.7 Vectors • represent vectors • add and subtract vectors. Week 37 3 13: Probability: Probability and events 13.1 Calculating probabilities • use the probability scale and the language of probability • calculate the probability of an outcome of an event. 13.2 Probability that an outcome will not happen • calculate the probability of an outcome not happening when you know the probability of that outcome happening. 13.3 Mutually exclusive and exhaustive outcomes • recognise mutually exclusive and exhaustive outcomes. Week 38 Holiday Week 39 4 13: Probability: Probability and events 13.4 Experimental probability • calculate experimental probabilities and relative frequencies from experiments • recognise different methods for estimating probabilities. 13.5 Expectation • predict the likely number of successful outcomes, given the
YEAR 11 Term 1 Week 1 – 2 7 16: Ratio and proportion and rates of change: Percentages and compound measures 16.1 Equivalent percentages, fractions and decimals • convert percentages to fractions and decimals and vice versa. 16.2 Calculating a percentage of a quantity • calculate a percentage of a quantity 16.3 Increasing and decreasing quantities by a percentage • increase and decrease quantities by a percentage. 16.4 Expressing one quantity as a percentage of another • express one quantity as a percentage of another • work out percentage change. 16.5 Compound measures • recognise and problems involving the compound measures of rates of pay, density and pressure. Week 3 – 4 7 17: Ratio and proportion and rates of change: Percentages and variation 17.1 Compound interest and repeated percentage change • calculate simple interest • calculate compound interest • solve problems involving repeated percentage change. 17.2 Reverse percentage (working out the original value) • calculate the original amount, the final amount, after a known percentage increase or decrease. 17.3 Direct proportion • solve problems in which two variables have a directly proportional relationship (direct variation) • work out the constant of proportionality • recognise graphs that show direct variation.
Week 11 – 12 7 20: Geometry and measures: Curved shapes and pyramids 20.1 Sectors • calculate the length of an arc • calculate the area and of a sector. 20.2 Pyramids • calculate the volume and surface area of a pyramid. 20.3 Cones • calculate the volume and surface area of a cone. 20.4 Spheres • calculate the volume and surface area of a sphere. Week 13 3 Revision and review Week 14 – 15 7 Mock Exams and Revision Week 16 Holiday Week 17 Holiday Term 2 Week 18 – 19 7 21: Algebra: Number and sequences 21.1 Patterns in number • recognise patterns in number sequences. 21.2 Number sequences • recognise how number sequences are up • generate sequences, given the nth term. 21.3 Finding the nth term of a linear sequence • find the nth term of a linear sequence. 21.4 Special sequences • recognise and continue some special number sequences • understand how prime, odd and even numbers interact in addition, subtraction and multiplication problems.
2.5 General rules from given patterns • find the nth term from practical problems involving sequences. Week 20 – 22 10 22: Geometry and measures: Right-angled triangles 22.1 Pythagoras’ theorem Know what Pythagoras' theorem is calculate the length of the hypotenuse in a triangle. 22.2 Calculating the length of a shorter side calculate the length of a shorter side in a right-angled triangle. 22.3 Applying Pythagoras’ theorem in real-life situations solve problems using Pythagoras’ theorem. 22.4 Pythagoras’ theorem and isosceles triangles use Pythagoras’ theorem in isosceles triangles. 22.5 Trigonometric ratios define, understand and use the three trigonometric ratios. 22.6 Calculating lengths using trigonometry use trigonometric ratios to calculate a length in a triangle. 22.7 Calculating angles trigonometry use the trigonometric ratios to calculate an angle. 22.8 Trigonometry without a calculator work out and remember trigonometric values for angles of 30°, 45°, 60° and 90°. 22.9 Solving problems using trigonometry practical problems using trigonometry solve problems using an angle of elevation or an angle of depression. 22.10 Trigonometry and bearings solve bearing problems using
indices) • multiply and divide by powers of 10. 25.2 Rules for multiplying and dividing powers • use rules for multiplying and dividing powers • multiply and divide numbers by powers of 10. Week 30 Holiday Week 31 Holiday Term 3 Week 32 4 25: Number: Powers and standard form 25.3 Standard form • write a number in standard form • calculate with numbers in standard form. Week 33 – 35 11 26: Algebra: Simultaneous equations and linear inequalities 26.1 Elimination method for simultaneous equations • solve simultaneous linear equations in two variables using the elimination method. 26.2 Substitution method for simultaneous equations • solve simultaneous linear equations in two variables using the substitution method. 26.3 Balancing coefficients to solve simultaneous equations • solve simultaneous linear equations by balancing coefficients. 26.4 Using simultaneous equations to solve problems • solve problems using simultaneous linear equations. 26.5 Linear inequalities • solve a simple linear inequality and represent it on a number line. Week 7 27.1 Distance-time graphs • interpret distance–time graphs
36 – 37 27: Algebra: Non-linear graphs • draw a graph of the depth of liquid as a container is filled. 27.2 Plotting quadratic graphs • draw and read values from quadratic graphs. 27.3 Solving quadratic equations by factorisation • solve a quadratic equation by factorisation. 27.4 The significant points of a quadratic curve • identify the significant points of a quadratic function graphically • identify the roots of a quadratic function by solving a quadratic equation • identify the turning point of a quadratic function. 27.5 Cubic and reciprocal graphs • recognise and plot cubic and reciprocal graphs. Week 38 Holiday Week 39 – 40 Revision Week 41 – 42 June Examinations