SEPTEMBER OCTOBER NOVEMBER Weeks 1 – 3 Number: 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 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 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 and proportion and rates of change: Percentages and variation Weeks 5 – 7 Statistics: Representation and interpretation Week 8 Holiday Weeks 9 – 10 Geometry and measures: Constructions and loci NOVEMBER DECEMBER JANUARY 11 – 12 Geometry and measures: Curved shapes and pyramids Week 13 Revision and review Weeks 14 – 15 Mock examinations and revision Week 16 Holiday Week 17 Holiday 18 – 19 Algebra: Number and sequences 20 – 21 Geometry and measures: Right-angled triangles JANUARY FEBRUARY 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
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 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 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 roots of any number. 5.7 calculations on a calculator • use some of the important keys when working on a calculator.
8.8 Solving simultaneous equations using graphs • solve simultaneous linear equations using graphs. Week 26 – 28 10 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. 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 29 – 30 7 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 given ratio and partial information. 10.2 Speed, distance and time • recognise the relationship between distance and time • calculate average speed from distance and time • calculate distance travelled from the speed and the time taken
11.7 The area of a circle • calculate the area of a circle. 11.8 Answers in terms of π • give answers for circle calculations in terms of π. Week 35 – 36 7 12:Geometry and measures: Transformations 12.1 Rotational symmetry • work out the order of rotational symmetry for a 2D shape • 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 Using 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 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 40 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 41 – 42 7 Summer examinations and revision Week 43 4 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 44 – 45 7 15: Algebra: Linear equations 15.1 Solving linear equations • solve linear equations such as 3x – 1 = 11 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.
15.2 Solving equations with brackets • solve 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. 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 solve 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, given the final amount, after a known percentage increase or decrease. 17.3 Direct proportion • solve problems in which two
19: Geometry and measures: Constructions and loci 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 • draw a locus for a given rule. 19.4 Loci problems • solve practical problems using loci. 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 angle 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 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 22 – 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 right-angled triangle. 22.2 Calculating the length of the 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 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 trigonometry solve 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 trigonometry. 22.11 Trigonometry and isosceles triangles use trigonometry to solve problems involving isosceles triangles. Week 23 Holiday Week 24 – 25 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 26 – 27 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.
26.3 Balancing coefficients to solve simultaneous equations • simultaneous linear equations by balancing coefficients. 26.4 simultaneous equations to solve problems • problems using simultaneous linear equations. 26.5 Linear inequalities • solve a simple linear inequality and represent it on a number line. Week 36 – 37 7 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 • work out the acceleration from a velocity-time graph. 27.3 Plotting quadratic graphs • draw and read values from quadratic graphs. 27.4 Solving quadratic equations by factorisation • solve a quadratic equation by factorisation. 27.5 The significant points of a quadratic • 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 38 Holiday Week Revision