SEPTEMBER OCTOBER NOVEMBER Weeks 1 – 3 Number: Basic number Weeks 4 – 6 Geometry and measures: Measures and scale drawings Week 7 Review and revision 1 Week 8 Holiday 9 – 10 Statistics: Charts, tables and averages NOVEMBER DECEMBER JANUARY Weeks 11 – 12 Geometry and measures: Angles Weeks 13 – 14 Number: Number properties Week 15 Year 9 examinations and revision Week 16 Holiday Week 17 Holiday 18 – 19 Number: Number properties Weeks 20 – 21 Number: Approximations JANUARY FEBRUARY MARCH Week 22 Number: Decimals and fractions Week 23 Review and Revision 2 Week 24 Holiday Weeks 25 – 26 Number: Decimals and fractions Weeks 27 – 29 Algebra: Linear graphs Week 30 Review and revision 3 MAY JUNE Week 31 Holiday Week 32 Holiday Week 33 Algebra: Linear graphs 34 – 35 Algebra: Expressions and formulae Week 36 Review and revision 4 Week 37 Review and revision 4 Week 38 Holiday Weeks 39 – 40 Algebra: Expressions and formulae JUNE JULY
SEPTEMBER OCTOBER NOVEMBER Week 1 Review and revision 5 Week 2 – 4 Geometry and measures: Perimeter and area 5 – 6 Geometry and measures: Transformations Week 7 Review and revision 6 Week 8 Holiday Week 9 Geometry and measures: Week 10 Probability and events NOVEMBER DECEMBER JANUARY Weeks 11 – 12 Probability: Probability and events Week 13 Geometry and measures: Volumes and surface areas of prisms Week 14 Examinations and revision Week 15 Examinations and revision Week 16 Holiday Week 17 Holiday 18 – 19 Geometry and measures: Volumes and surface of prisms Week 20 Number: Recap and review JANUARY FEBRUARY MARCH Weeks 21 – 22 Algebra: Linear equations Week 23 Review and Revision 7 Week 24 Holiday Weeks 25 – 26 Algebra: Linear equations Week 27 Recap and review 28 – 29 Ratio and proportion and rates of change: Percentages and compound measures Week 30 Review and revision 8 APRIL MAY JUNE Week 31 Holiday Week 32 Holiday Weeks 33 – 35 and proportion and rates of change: Percentages and variation Week 36 Review and revision 9 Week 37 Review and revision 9 Week 38 Holiday 39 – 40 Statistics: Representation and interpretation JUNE JULY
Week 41 June examinations Week 42 June examinations Week 43 Week 44 Week 45 Year Term Week Hours Chapter: Topic Topic break-down (sub-topics) Learning Objectives: Students will be able to:- Year 9 Term 1 Week 1 – 3 10 1: Number: Basic number 1.1 value and ordering numbers • use a number line to represent negative numbers • use inequalities with negative numbers • compare and 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 11 2: Geometry and measures: Measures and 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.
• 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. Week 27 – 29 10 8: Algebra: Linear graphs 8.1 Graphs and equations • use flow diagrams to draw graphs • work out the equations of horizontal and vertical lines. 8.2 Drawing linear graphs by finding points • draw linear graphs without using flow diagrams. 8.3 Gradient of a line • work out the gradient of a straight line • draw a line with a certain gradient. 8.4 y = mx + c • draw graphs using the gradient-intercept method • draw graphs using the method.
8.5 Finding the equation of a line from its graph • work out the equation of a line, using its gradient and • work out the equation of a line given two points on the line. 8.6 The equation of a parallel line • work out the equation of a linear graph that is parallel to another line and passes through a specific point. 8.7 Real-life uses of graphs • convert from one unit to another unit by using a conversion graph • use straight-line graphs to work out formulae. Week 30 4 Review and revision 3 Week 31 Week 32 Week 33 4 8: Algebra: Linear graphs 8.8 Solving simultaneous equations using graphs • solve simultaneous linear equations using graphs. Week 34 – 35 7 9: Algebra: Expressions and formulae 9.1 Basic algebra • write an algebraic expression • recognise expressions, equations, formulae and identities. 9.2 Substitution • substitute into, simplify and use algebraic expressions. 9.3 Expanding brackets • expand brackets such as 2(x – 3) • expand and simplify brackets.
9.4 Factorisation • factorise an algebraic expression. Week 36 3 Review and revision 4 Week 37 4 Review and revision 4 Week 38 Week 39 – 40 7 9: Algebra: Expressions and formulae 9.5 Quadratic expansion • expand two linear brackets to obtain a quadratic expression. 9.6 Quadratic factorisation • factorise a quadratic expression of the form x2 + ax + b into two linear brackets. 9.7 Changing the subject of a formula • change the subject of a formula. Week 41 3 Summer examinations and revision Week 42 4 Summer examinations and revision Week 43 – 45 10 10: Ratio and proportion and rates of change: Ratio, speed and proportion 10.1 Ratio • simplify a ratio • express a ratio as a fraction • divide amounts into given ratios • complete calculations from a ratio and partial information. 10.2 Speed, distance and time • recognise the relationship between speed, distance and time • calculate average speed from distance and time
13.3 Mutually exclusive and exhaustive outcomes • recognise mutually exclusive and exhaustive outcomes. 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 number of trials and the probability of any one outcome. 13.6 Choices and outcomes • systematic listing and counting strategies to identify all outcomes for a variety of problems. Week 13 3 14: Geometry and measures: Volumes and surface areas of prisms 14.1 3D shapes • use the correct terms when working with 3D shapes. 14.2 Volume and surface area of a cuboid • calculate the surface area and volume of a cuboid. Week 14 3 Examinations and revision Week 15 4 Examinations and revision Week 16 Week 17 Term 2 Week 18 – 19 7 14: Geometry and measures: Volumes and surface areas of prisms 14.3 Volume and surface area of a prism • calculate the volume and surface area of a prism. 14.4 Volume and surface area of cylinders • calculate the volume and surface area of a cylinder.
Week 20 3 Number: Recap and review Week 21 – 22 7 15: Algebra: Linear equations 15.1 Solving linear equations • solve linear equations such as 3x – 1 = 11 where the variable only appears on one side • use inverse operations and inverse flow diagrams • solve equations by balancing • solve equations in which the variable (the letter) appears in the numerator of a fraction Week 23 4 Review and revision 7 Week 24 Week 25 – 26 7 15: Algebra: Linear equations 15.2 Solving equations with brackets • equations where you have to first expand brackets. 15.3 Solving equations with the variable on both sides • solve equations where the variable appears on both sides of the equals sign. Week 27 3 Statistics: Recap and review Week 28 – 29 7 16: and proportion and rates of change: Percentages and compound measures 16.1 Equivalent percentages, decimals and fractions • 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 solve problems involving the compound measures of rates of pay, density and pressure. Week 30 4 Review and revision 8 Week 31 Week 32 Week 33 – 35 10 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 • problems involving repeated percentage change. 17.2 Reverse percentage (working out the original value) • calculate the original amount, given 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. 17.4 Inverse proportion • solve problems in which two variables have an inversely proportional relationship (inverse variation)
• work out the constant of proportionality. Week 36 3 Review and revision 9 Week 37 4 Review and revision 9 Week 38 Week 39 – 40 7 18: Statistics: More complex statistics 18.1 Sampling • obtain a random sample from a population • collect unbiased and reliable data for a sample. 18.2 Pie charts • draw and interpret pie charts. 18.3 Scatter diagrams • draw, interpret and use scatter diagrams • draw and use a line of best fit. Week 41 3 Summer examinations and revision Week 42 4 Summer examinations and revision Week 43 3 18: Statistics: More complex statistics 18.4 Grouped data and averages • identify the modal group • calculate an estimate of the mean from a grouped table. Week 44 – 45 7 19: Geometry and measures: Constructions and loci 19.1 Constructing triangles • construct accurate drawings of triangles, using a pair of compasses, a protractor and a straight edge. 19.2 Bisectors • construct the bisectors of lines and angles • construct angles of 60° and 90°.
19.3 Defining a locus • draw a locus for a given rule. 19.4 Loci problems • solve practical problems using loci. Year 11 Term 1 Week 1 4 Review and revision 10 Week 2 – 4 10 20: Geometry and measures: Curved shapes and pyramids 20.1 Sectors • calculate the length of an arc • calculate the area and angle of a sector. 20.2 Pyramids • calculate the volume and surface area of a pyramid. 20.3 • calculate the volume and surface area of a cone. 20.4 Spheres • calculate the volume and surface area of a sphere. Week 5 – 6 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 built 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 7 3 Review and revision 11
Week 8 Week9 4 Algebra: and review Week 10 – 13 14 22: Geometry and measures: Right-angled triangles 22.1 Pythagoras’ theorem Know what Pythagoras' theorem is calculate the length of the hypotenuse in a right-angled triangle. 22.2 Calculating the length of the shorter side calculate the length of a shorter side in a 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 using trigonometry use the trigonometric ratios to calculate an 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 solve practical problems using trigonometry
problems using an angle of elevation or an angle of depression. 22.10 Trigonometry and bearings solve bearing problems using trigonometry. 22.11 Trigonometry and isosceles triangles. use trigonometry to solve problems involving isosceles triangles. Week 14 3 Mock examinations and revision Week15 4 Mock examinations and revision Week 16 Week 17 Term 2 Week 18 – 19 7 23: Geometry and measures: Congruency and similarity 23.1 Congruent triangles • demonstrate that two triangles are congruent. 23.2 Similarity • recognise similarity in any two shapes • show that two shapes are similar • work out the scale factor between similar shapes. Week 20 – 21 7 24: Probability: Combined events 24.1 Combined events • work out the probabilities when two or more events occur at the same time. 24.2 Two-way tables • read two-way tables and use them to work out probabilities. 24.3 Probability and Venn diagrams • use Venn diagrams to solve probability questions.
24.2 Tree diagrams • understand frequency tree diagrams and probability tree diagrams • use probability tree diagrams to work out the probabilities involved in combined events. Week 22 3 Review and revision 12 Week 23 Week 24 – 26 11 25: Number: Powers and standard form 25.1 Powers (indices) • write a number as a power of another number • use powers (also known as 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. 25.3 Standard form • write a number in standard form • calculate with numbers in standard form. Week 27 – 28 7 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. Week 29 4 Review and revision 13 Week 30 Week 31 Term 3 Week 32 4 26: Algebra: Simultaneous equations and linear inequalities 26.4 Using simultaneous equations to solve problems • problems using simultaneous linear equations. 26.5 Linear inequalities • a simple linear inequality and represent it on a number line. Week 33 – 35 10 27: Algebra: Non-linear graphs 27.1 Distance-time graphs • interpret distance–time graphs • draw a graph of the depth of liquid as a container is filled. 27.2 Velocity-time graphs • read information from a velocity-time graph • work out the acceleration from a velocity-time 27.3 Plotting quadratic graphs • draw and read values from quadratic graphs. 27.4 Solving quadratic equations by factorisation • a quadratic equation by factorisation. 27.5 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. 27.6 Cubic and reciprocal graphs • recognise and plot cubic and reciprocal graphs. Week 36 – 37 7 Revision Week 38 Week 39 – 40 7 Revision Week 41 3 June examinations Week 42 4 June examinations