# Maths

Welcome to the Coombe Boys’ Mathematics department.

Our mission is to provide every pupil with a rich experience of Mathematics.

We will develop an understanding of the relevance of mathematical skills, whether practical or abstract, in today’s society and for the future. We will promote problem solving, analytical thinking, critical assessment of information and the importance of being intellectually curious. Our pupils will be challenged and given personalised support to become resilient, independent mathematicians.

Please see below for Maths Curriculum details Year 7-11.

* *stage a course outline

* *stage B course outline

LEARNING OUTCOME |
Tier | R | Y | G |

Topic 1: Calculations (Core) |
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LO1: To be able to multiply whole numbers and decimals using the Chinese method | F | R | Y | G |

LO2: To be able to divide using short division | F | R | Y | G |

LO3: To be able to calculate (+, -, x, ÷) using integers | F | R | Y | G |

Topic 2: Algebra (Core) |
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LO1: TBAT write expressions from a description | F | R | Y | G |

LO2: TBAT simplify like terms up to 2 variables with positive and negative answers incl non-linear | F | R | Y | G |

LO3: TBAT construct anglesLO3: TBAT simplify terms using multiplication and division | F | R | Y | G |

LO4: TBAT substitute integers into expressions | F | R | Y | G |

Topic 3: Fractions (Core) |
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LO1: To learn common non-unit fraction, decimal and percentage equivalences | F | R | Y | G |

Topic 4: Calculations (Core) |
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LO1: To be able to identify square numbers up to 15^{2} and cube numbers up to 5^{3} |
F | R | Y | G |

LO2: To be able to use the BIDMAS with two operations and integers (+/ -) but no brackets | F | R | Y | G |

LO3: To be able to use the BIDMAS with two operations and integers (+/ -) with brackets | F | R | Y | G |

Topic 5: Graphing (Core) |
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LO1: TBAT plot coordinates in all four quadrants | F | R | Y | G |

Topic 6: Area and Volume (Core) |
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LO1: TBAT calculate the area of a rectangle | F | R | Y | G |

LO2: TBAT calculate the area of a triangle | F | R | Y | G |

LO3: TBAT use the formula to calculate the volume of a cube or cuboid | F | R | Y | G |

Topic 7: Angles (Core) |
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LO1: TBAT Solve simple angle problems in straight lines | F | R | Y | G |

LO2: TBAT Solve angle problems in triangles | F | R | Y | G |

LO3: TBAT Solve angle problems in quadrilaterals | F | R | Y | G |

Topic 8: Pie charts (Core) |
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LO1: To be able to construct simple pie charts | F | R | Y | G |

LO2: To be able to interpret pie charts split in simple proportions | F | R | Y | G |

Topic 9: Number Properties |
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LO1: To be able find the factors of numbers and identify the HCF of two numbers | F | R | Y | G |

LO2: To be able to state the multiples of numbers and find the LCM of two numbers | F | R | Y | G |

LO3: Know the definition of a prime number and all prime numbers out of 100 | F | R | Y | G |

Topic 10: Units of measure |
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LO1: To be able to convert between imperial and metric units, given the conversion factor |
F | R | Y | G |

## stage c course outline

LEARNING OUTCOME |
Tier | R | Y | G |

Topic 1: Calculations (Core) |
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LO1: To be able to use a method to solve multiplication problems | F | R | Y | G |

LO2: To be able to use a method to solve division problems | F | R | Y | G |

LO3: To be able to state a value to a required degree of accuracy incl significant figures | F | R | Y | G |

Topic 2: Algebra (Core) |
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LO1: TBAT expand brackets and simplify the result | F | R | Y | G |

LO2: To be able to factorise expressions | F | R | Y | G |

Topic 3: Fractions (Core) |
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LO1: To be able to use the property of fractional equivalence | F | R | Y | G |

LO2: To be able to convert between improper and mixed fractions | F | R | Y | G |

LO3: To be able to add and subtract fractions incl different denominators | F | R | Y | G |

LO4: To be able to calculate a fraction of an amount | ||||

Topic 4: Area and Volume (Core) |
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LO1: To be able to calculate area of compound shapes | F | R | Y | G |

LO2: To be able to derive and use formula for area | F | R | Y | G |

LO3: To be able to apply the formula for volume of a prism (excluding cylinders) | F | R | Y | G |

LO4: To be able to convert between units of length and volume e.g. 1 cm ^{3} = 1 ml |
F | R | Y | G |

Topic 5: Percentages (Core) |
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LO1: Calculate a percentage of a quantity using a calculator where appropriate | F | R | Y | G |

LO2: Express a quantity as a percentage of an amount (with and without calculator) | F | R | Y | G |

O3: To be able to state simple decimal and percentage equivalents of mixed and improper fractions | F | R | Y | G |

LO4: To be able to order and compare fractions, decimals and percentages | F | R | Y | G |

Topic 6: Algebra (Core) |
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LO1: TBAT interpret simple expressions as function machines | F | R | Y | G |

LO2: TBAT solve simple equations with integer solutions | F | R | Y | G |

LO3: TBAT recognise the difference between an equation, formula and identity | F+ | R | Y | G |

Topic 7: Graphing (Core) |
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LO1: TBAT plot simple graphs of linear functions | F | R | Y | G |

LO2: TBAT plot simple graphs of quadratic functions e.g. y = x^{2} + a |
F | R | Y | G |

Topic 8: Probability (Core) |
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LO1: TBAT identify when events are mutually exclusive and know the sum of these events would be 1 | F | R | Y | G |

LO2: TBAT estimate the number of events using theoretical probability | F | R | Y | G |

Topic 9: Angles (Core) |
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LO1: TBAT calculate angles in parallel lines | F | R | Y | G |

* *STAGE D COURSE OUTLINE

LEARNING OUTCOME |
Tier | R | Y | G |

Topic 1: Fractions ( Core) |
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LO1: To be able to add and subtract fractions with mixed numbers | F | R | Y | G |

Topic 2: 2D Shape (Core) |
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LO1: To be able to identify and state using mathematical notation horizontal, vertical, parallel and perpendicular lines | F | R | Y | G |

LO2: To be able to describe quadrilaterals using their properties | F | R | Y | G |

LO3: To be able to identify any congruent shapes and prove for simple shapes | F | R | Y | G |

Topic 3: Circles (Core) |
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LO1: To be able to name parts of a circle | F | R | Y | G |

LO2: To be able to know and use the formula for the circumference of a circle | F/F+ | R | Y | G |

LO3: To know and be able to use the formula for the area of a circle | F | R | Y | G |

Topic 4: Scatter Graphs |
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LO1: To be able to construct scatter graphs | F | R | Y | G |

LO2: To be able to interpret scatter graphs | F+ | R | Y | G |

Topic 5: Calculations ( Core) |
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LO1: To be able to use BIDMAS to solve calculations with squares and 3 operations | F | R | Y | G |

LO2: To be able to understand the effect of multiplying or dividing by a number between 0 & 1 |
F | R | Y | G |

Topic 6: Percentages |
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LO1: To be able to express a quantity as a percentage of an amount with a calculator | F | R | Y | G |

LO2: To be able to calculate % increase/decrease without a calculator | F | R | Y | G |

LO3: To be able to calculate % increase/decrease using a multiplier | F | R | Y | G |

Topic 7: Graphing (Core) |
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LO1: To be able to plot conversion graphs in various contexts | F | R | Y | G |

LO2: To be able to plot and interpret graphs of real life situations | F | R | Y | G |

Topic 8: Algebra (Core) |
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LO1: TBAT substitute into formulae (incl quadratics) | F | R | Y | G |

LO2: TBAT rearrange simple formulae | F | R | Y | G |

LO3: TBAT plot quadratic graphs in the form y=ax^{2}+bx+c (a = +/-1) |
F | R | Y | G |

Topic 9: Angles (Core) |
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LO1: To be able to calculate internal and external angles of regular polygons | F | R | Y | G |

Topic 10: Probability (Core) |
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LO1: To be able to construct and use sample space diagrams | F | R | Y | G |

LO2: To be able to construct and use Venn diagrams | F | R | Y | G |

LO3: To be able to construct and use frequency tables | F | R | Y | G |

* *stage e course outline

LEARNING OUTCOME |
Tier | R | Y | G |

Topic 1: Fractions ( Core) |
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LO1: To be able to multiply fractions | F | R | Y | G |

LO2: To be able to divide fractions | F | R | Y | G |

Topic 2: Percentages (Core) |
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LO1: To be able to calculate proportional change | F | R | Y | G |

LO2: To be able to calculate successive percentages | F+ | R | Y | G |

Topic 3: Bearings |
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LO1: To be able to measure and use bearings to describe direction | F | R | Y | G |

LO2: To be able to calculate bearings | F | R | Y | G |

Topic 4: Probability (Core) |
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LO1: To be able to calculate the probability of successive independent events | F+ | R | Y | G |

LO2: To be able to use and apply an understanding of experimental probability | F/F+ | R | Y | G |

Topic 5: Averages and spread |
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LO1: To be able to interpret the averages and spread of data sets | F | R | Y | G |

LO2: To be able to calculate averages from frequency tables (not grouped) |
F | R | Y | G |

Topic 6: Pie charts |
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LO1: To be able to construct pie charts | F | R | Y | G |

LO2: To be able to interpret pie charts | F | R | Y | G |

Topic 7: Area and volume (Core) |
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LO1: To be able to calculate lengths and areas of parts of circles | F | R | Y | G |

LO2: To be able to calculate the volume of a cylinder | F | R | Y | G |

LO3: To be able to calculate the surface area of a cuboid | F | R | Y | G |

Topic 8: Ratio and proportion (Core) |
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LO1: To be able to use knowledge of direct proportion to solve problems in context (unitary) | F | R | Y | G |

LO2: To be able to use knowledge of indirect proportion to solve problems in context (unitary) | F | R | Y | G |

LO3: To be able to divide a quantity into two or more parts and solve problems involving ratio | F | R | Y | G |

Topic 10: Properties of numbers (Core) |
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LO1: To be able to use prime factors | F | R | Y | G |

LO2: To be able to find the HCF and LCM of two numbers using Venn diagrams | F | R | Y | G |

* *STAGE F COURSE OUTLINE

LEARNING OUTCOME |
Tier | R | Y | G |

Topic 1: Fractions ( Core) |
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LO1: To be able to calculate BIDMAS problems with fractions incl negative and mixed numbers | F | R | Y | G |

Topic 2: Sequences |
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LO1: To be able to find and apply the nth term of a linear sequence | F | R | Y | G |

LO2: To be able recognise and continue geometric sequences r^{n}, where n is an integer and r is a rational number |
F | R | Y | G |

Topic 3: Averages and spread |
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LO1: To be able to calculate averages and spread from grouped frequency tables | F | R | Y | G |

Topic 4: Time Series Data |
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LO1: To be able to interpret tables for time series data | F+ | R | Y | G |

LO2: To be able to construct and interpret tables for time series graphs | F+ | R | Y | G |

Topic 5: Constructions |
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LO1: To be able to construct a triangle | F+ | R | Y | G |

LO2: To be able to use straight edge and compasses to draw lines accurately |
F+ | R | Y | G |

LO3: To be able to find the locus of a point that moves according to a rule | F+ | R | Y | G |

Topic 6: Transformation |
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LO1: To be able to state the order of rotational symmetry | F | R | Y | G |

LO2: To be able to transform a shape where the image is congruent to the object | F | R | Y | G |

LO3: To be able to describe a transformation where the image is congruent to the object | F | R | Y | G |

Topic 7: Algebra (Core) |
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LO1: TBAT expand double brackets and simplify the result | F+ | R | Y | G |

Topic 8: Enlargements |
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LO1: To be able to enlarge a shape (incl fractional and negative scale factors) | F/F+/H | R | Y | G |

Topic 9: Units of measure and dimensions |
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LO1: To be able to convert between metric units for dimensions | F | R | Y | G |

LO2: To be able to use compound measures in calculation | F+ | R | Y | G |

Topic 10: 3D Shape |
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LO1: To be able to draw and interpret a 2D representation of a 3D shape | F | R | Y | G |

* *STAGE G COURSE OUTLINE

LEARNING OUTCOME |
Tier | R | Y | G |

Topic 1: Indices |
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LO1: To be able to know and use the laws of indices, with integer indices | F+ | R | Y | G |

LO2: To be able to know and use the laws of indices, with fractional indices | F+ | R | Y | G |

Topic 2: Solving equations and inequalities (Core) |
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LO1: TBAT solve equations with unknowns on both sides including brackets | F+ | R | Y | G |

LO2: TBAT solve a quadratic equation by factorising where a =1 |
F+ | R | Y | G |

LO3: TBAT solve inequalities and express the solution in the required form | F+ | R | Y | G |

Topic 3: Pythagoras’ Theorem |
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LO1: To be able to use Pythagoras’ theorem in right-angled triangles (2D problems) | F | R | Y | G |

LO2: To apply Pythagoras’ theorem in context | F | R | Y | G |

Topic 4: Surface Area (Core) |
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LO1: To be able to calculate the surface area of a cuboid | F+ | R | Y | G |

LO2: To know and be able to apply the formulae to calculate the surface area of prisms | F+ | R | Y | G |

LO3: To know and be able to apply the formulae to calculate the surface area of pyramids and cones (incl. frustrums) | F+ | R | Y | G |

LO4: To know and be able to apply the formulae to calculate the surface area of spheres | F+ | R | Y | G |

LO5: TBAT calculate surface area of composite solids | ||||

Topic 5: Volume (Core) |
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LO1: To be able to know and apply the formulae to calculate the volume of a pyramids and cones | F+ | R | Y | G |

LO2: To be able to know and apply the formulae to calculate the volume of a sphere |
F+ | R | Y | G |

LO3: To be able to know and apply the formulae to calculate the volume of composite solids | F+ | R | Y | G |

Topic 6: Standard Form |
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LO1: To be able to express very big and very small numbers in a more efficient way | F | R | Y | G |

LO2: To be able to solve problems calculating with numbers expressed in standard form | F | R | Y | G |

Topic 7: Probability (Core) |
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LO1: To be able to calculate the probability of successive dependent events (not replacing) | F | R | Y | G |

Topic 8: Straight Line Graphs (Core) |
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LO1: TBAT solve problems involving straight line knowing the general form y = mx + c |
F+ | R | Y | G |

* *STAGE H COURSE OUTLINE

LEARNING OUTCOME |
Tier | R | Y | G |

Topic 1: Graphing (Core) |
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LO1: TBAT interpret and sketch graphs of quadratics | F+ | R | Y | G |

LO2: TBAT plot and interpret graphs of cubics | F+ | R | Y | G |

LO3: TBAT plot and interpret graphs of the reciprocal function | F+ | R | Y | G |

LO4: TBAT interpret and sketch graphs of real life graphs | F+ | R | Y | G |

Topic 2: Trigonometry |
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LO1: To know and use the trigonometric ratios SOH/CAH/TOA in right angled triangles | F+ | R | Y | G |

LO2: To be able to apply the trigonometric ratios in context | F+ | R | Y | G |

LO3: To know the exact values of the trigonometric ratios | F+ | R | Y | G |

Topic 3: Shape (Core) |
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LO1: To be able to use congruence and similarity | F+ | R | Y | G |

Topic 4: Simultaneous Equations (Core) |
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LO1: To be able to solve simultaneous equations with unknowns on both sides, including brackets | F+ | R | Y | G |

Topic 5: Percentages (Core) |
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LO1: To be able to calculate proportional change | F/F+ | R | Y | G |

Topic 6: Vectors |
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LO1: Solve simple geometrical problems in 2-D using vectors, including use of the commutative and associative properties of vector addition. | F | R | Y | G |

* *STAGE I COURSE OUTLINE

LEARNING OUTCOME |
Tier | R | Y | G |

Topic 1 Algebraic fractions and solving equations |
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LO1: To be able to simplify algebraic fractions using factorisation | H | R | Y | G |

LO2: To be able to solve fractions with fractional coefficients | H | R | Y | G |

LO3: To be able to solve equations with iteration | H | R | Y | G |

Topic 2: Venn diagrams |
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LO1: To be able to use set notation to define sets | H | R | Y | G |

LO2: To be able to draw Venn diagrams | H | R | Y | G |

LO3: To be able to use and define intersection, union, complements and subsets | H | R | Y | G |

Topic 3: Inequalities |
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LO1: To be able to solve inequalities in two variables graphically | H | R | Y | G |

LO2: To be able to solve quadratic inequalities graphically | H | R | Y | G |

Topic 4: Geometry and trigonometry |
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LO1: To be able to find lengths, angles and areas in non- right angles triangles | H | R | Y | G |

LO2: To be able to use Pythagoras’ Theorem, trigonometric ratios and formulae in 3D | H | R | Y | G |

Topic 5: Simultaneous equations |
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LO1: To be able to solve simultaneous equations where one is quadratic and the other is linear | H | R | Y | G |

Topic 6: Exponential functions |
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LO1: To be able to plot and interpret graphs of exponential functions | H | R | Y | G |

LO1: To be able to solve problems involving exponential functions | H | R | Y | G |

Topic 7: Graphing |
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LO1: To be able to solve problems involving the equation of a circle | H | R | Y | G |

LO2: To be able to recognise, sketch and interpret the graphs of the trigonometric functions | H | R | Y | G |

Topic 8: Functions |
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LO1: To be able to find the inverse of a function using the correct notation | H | R | Y | G |

LO2: To be able to find composite functions | H | R | Y | G |

LO3: To be able to transform graphs of functions | H | R | Y | G |

Topic 9: Bounds |
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LO1: To be able to state maximum and minimum values as a result of rounding and interpret limits of accuracy | H | R | Y | G |

LO2: To be able to use upper and lower bounds in calculations | H | R | Y | G |

Topic 10: Similar shapes |
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LO1: To be able to use scale factors and ratios of lengths in calculations involving area | H | R | Y | G |

LO2: To be able to use scale factors and ratios of lengths in calculations involving area | H | R | Y | G |

LO3: To be able to transform graphs of functions | H | R | Y | G |

Topic 11: Vectors |
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LO1: To be able to solve problems using vector geometry | H | R | Y | G |

Topic 12: Graphs for composite measures |
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LO1: To be able to solve problems involving graphs for displacement, velocity and acceleration | H | R | Y | G |

LO2: To be able to solve problems involving gradients of chords and tangents | H | R | Y | G |

Topic 13: Quadratic sequences |
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LO1 To be able to find the nth term of a quadratic sequence | H | R | Y | G |

LO2: To be able to use and interpret more complex geometric sequences e.g. r^{n} where r is a surd |
H | R | Y |

* *STAGE J COURSE OUTLINE

LEARNING OUTCOME |
Tier | R | Y | G |

Topic 1: Calculations |
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LO1: To be able to BIDMAS involving 3 operations and mixed fractions, negatives and brackets | H | R | Y | G |

LO2: To be able to change recurring decimals to fractions and vice versa | H | R | Y | G |

Topic 3: Indices and surds |
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LO1: To know and use the laws of indices with fractional indices | H | R | Y | G |

LO2: To know and use the laws for surds | H | R | Y | G |

LO3: To be able to rationalise the denominator | H | R | Y | G |

Topic 4: Algebra |
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LO1: To be able to expand brackets | H | R | Y | G |

LO2: To be able to factorise quadratics where the coefficient of the term is not xterm is not 1 or -1^{2 } |
H | R | Y | G |

LO3: To be able to solve quadratic equations using an appropriate strategy | H | R | Y | G |

Topic 5: Representing data |
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LO1: To be able to construct and interpret histograms with unequal class widths | H | R | Y | G |

LO2: To be able to find the interquartile range and use it to compare data sets | H | R | Y | G |

LO3: To be able to construct, interpret and compare box plots | H | R | Y | G |

LO4: To be able to interpret and construct cumulative frequency diagram | H | R | Y | G |

Topic 6: Trigonometry |
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LO1: To know and apply the sine rule to find unknown lengths and angles | H | R | Y | G |

LO2: To know and apply the cosine rule to find unknown lengths and angles | H | R | Y | G |

LO3: To know and apply area = 1/2absin c |
H | R | Y | G |

LO4: To be able to calculate the area, sides and angles of any triangle | H | R | Y | G |

Topic 7: Formulae |
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LO1: To be able to change the subject of a formula where the variable appears twice | H | R | Y | G |

Topic 8: Circles |
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LO1: To be able to prove and solve problems involving the angle properties of circles | H | R | Y | G |

LO2: To be able to solve problems involving tangents and chords | H | R | Y | G |

Topic 9: Proportion |
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LO1: To be able to form and evaluate a formula which models a direct proportion relationship | H | R | Y | G |

LO2: To be able to form and evaluate a formula which models an indirect proportion relationship | H | R | Y | G |

LO3: To be able to solve mixed proportion problems | H | R | Y | G |

LO4: Identify, sketch and construct the graphs of direct and indirect relationships | H | R | Y | G |

Topic 10: Probability |
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LO1: To be able to calculate non-conditional probability using a variety of methods to sort data | H | R | Y | G |

LO2: To be able to interpret conditional probability | H | R | Y | G |

Topic 11: Functions |
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LO1: To be able to use function notation to find a numerical solution | H | R | Y | G |

Topic 12: Graphing |
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LO1: To be able to solve problems involving perpendicular and parallel lines | H | R | Y | G |

LO2: To be able to sketch graphs of quadratics after completing the square | H | R | Y |

F - Foundation

F+ - Additional foundation

H - Higher

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