| 1 |
Initial Assessment |
Initial Assessment |
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| 2 |
N
Multiplication and division |
Multiplying 4-digit numbers by 3-digit numbers |
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| 3 |
N
Multiplication and division |
Multiplying 4-digit numbers by 4-digit number |
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| 4 |
N
Decimals |
Multiplying decimals by 10, 100 and 1000 |
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| 5 |
N
Multiplication and division |
Repeated subtraction with divisors greater than 20 with… |
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| 6 |
N
Multiplication and division |
Repeated subtraction with divisors less than 35 with so… |
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| 7 |
N
Multiplication and division |
Repeated subtraction with divisors less than 55 with di… |
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| 8 |
N
Multiplication and division |
Repeated subtraction with divisors greater than 50 with… |
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| 9 |
N
Multiplication and division |
Using divide, multiply and subtraction in the bring dow… |
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| 10 |
N
Decimals |
Dividing decimals by 10, 100 and 1000 |
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| 11 |
N
Simplifying |
Directed numbers: addition and subtraction. |
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| 12 |
N
Simplifying |
Directed numbers: multiplication and division. |
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| 13 |
N
Bidmas |
Using Order of Operation procedures (BIDMAS) with Fract… |
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| 14 |
N
Multiplication and division |
Multiples and factors of whole numbers |
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| 15 |
N
Multiples and factors |
Highest common factor. |
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| 16 |
N
Multiples and factors |
Factors by grouping. |
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| 17 |
N
Decimals |
Rounding decimals |
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| 18 |
N
Decimals |
Decimals to three decimal places |
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| 19 |
N
Decimals |
Adding decimals with a different number of decimal plac… |
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| 20 |
N
Decimals |
Subtracting decimals with a different number of places |
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| 21 |
N
Decimals |
Multiplying decimals by whole numbers |
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| 22 |
N
Decimals |
Multiplication of decimals by decimals to two decimal p… |
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| 23 |
N
Decimals |
Dividing decimal fractions by whole numbers |
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| 24 |
N
Decimals |
Dividing numbers by a decimal fraction |
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| 25 |
N
Fractions |
Adding and subtracting fractions with different denomin… |
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| 26 |
N
Fractions |
Multiplying fractions by whole numbers |
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| 27 |
N
Fractions |
Fractions of whole numbers |
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| 28 |
N
Fractions |
Multiplying fractions |
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| 29 |
N
Fractions |
Multiplying mixed numbers (mixed numerals) |
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| 30 |
N
Fractions |
Finding reciprocals of fractions and mixed numbers (mix… |
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| 31 |
N
Fractions |
Dividing fractions |
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| 32 |
N
Fractions |
Dividing mixed numbers (mixed numerals) |
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| 33 |
N
Indices |
Adding indices when multiplying terms with the same bas… |
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| 34 |
N
Indices |
Subtracting indices when dividing terms with the same b… |
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| 35 |
N
Indices |
Multiplying indices when raising a power to a power |
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| 36 |
N
Indices |
Multiplying indices when raising to more than one term |
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| 37 |
N
Indices |
Terms raised to the power of zero |
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| 38 |
N
Indices |
Negative Indices |
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| 39 |
N
Indices |
Fractional indices |
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| 40 |
N
Indices |
Complex fractions as indices |
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| 41 |
N
Percentages |
Calculating Percentages and Fractions of Quantities |
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| 42 |
N
Percentages |
Introduction to percentages, including converting fract… |
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| 43 |
N
Percentages |
Changing fractions and decimals to percentages using te… |
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| 44 |
N
Percentages |
Changing percentages to fractions and decimals |
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| 45 |
N
Percentages |
One quantity as a percentage of another |
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| 46 |
N
Percentages |
Compound interest |
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| 47 |
N
Approximation |
Significant figures |
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| 48 |
N
Speed |
Average speed |
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| 49 |
N
Standard form |
Scientific notation with larger numbers |
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| 50 |
N
Standard form |
Scientific notation with small numbers |
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| 51 |
N
Standard form |
Changing scientific notation to numerals |
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| 52 |
N
Sets |
Number sets and their members |
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| 53 |
N
Real numbers |
Properties of real numbers using addition and multiplic… |
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| 54 |
N
Surds |
Introducing surds |
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| 55 |
N
Surds |
Some rules for the operations with surds |
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| 56 |
N
Surds |
Simplifying surds |
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| 57 |
N
Surds |
Creating entire surds |
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| 58 |
N
Surds |
Adding and subtracting like surds |
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| 59 |
N
Surds |
Expanding surds |
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| 60 |
N
Surds |
Conjugate binomials with surds |
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| 61 |
N
Surds |
Rationalising the denominator |
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| 62 |
N
Surds |
Rationalising binomial denominators |
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| 63 |
M
Problem solving |
Compare and convert formal units of measurement |
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| 64 |
M
Capacity |
Estimate, measure and compare the capacity of container… |
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| 65 |
M
Problem solving |
Areas of rectangles and parallelograms |
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| 66 |
M
Problem solving |
Finding the area of a triangle and other composite shap… |
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| 67 |
M
Problem solving |
Area of a trapezium. |
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| 68 |
M
Problem solving |
Area of a rhombus. |
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| 69 |
M
Problem solving |
Area of a circle. |
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| 70 |
M
Problem solving |
Area of regular polygons and composite figures. |
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| 71 |
M
Surface area |
Surface area of a cube/rectangular prism. |
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| 72 |
M
Surface area |
Surface area of a triangular/trapezoidal prism. |
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| 73 |
M
Surface area |
Surface area of a cylinder and sphere. |
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| 74 |
M
Surface area |
Surface area of pyramids |
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| 75 |
M
Surface area |
Surface area of cones |
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| 76 |
M
Surface area |
Surface area of composite solids |
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| 77 |
M
Volume |
Introducing the formula for volume. |
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| 78 |
M
Volume |
Using the cubic metre to measure volume. |
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| 79 |
M
Volume |
Solving Problems about Volume – Part 1. |
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| 80 |
M
Volume |
Solving Problems about Volume – Part 2. |
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| 81 |
M
Volume |
Finding the volume of prisms |
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| 82 |
M
Volume |
Volume of a cylinder and sphere. |
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| 83 |
M
Volume |
Volume of pyramids and cones. |
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| 84 |
M
Volume |
Composite solids. |
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| 85 |
M
Problem solving |
Problems with length. |
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| 86 |
M
Problem solving |
Problems with mass. |
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| 87 |
M
Problem solving |
Problems with area. |
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| 88 |
M
Problem solving |
Problems with volume/capacity. |
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| 89 |
G
Triangles |
Using the prefix to determine polygons |
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| 90 |
G
3D shapes |
Recognise and name prisms according to spatial properti… |
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| 91 |
G
3D shapes |
Recognise and name pyramids according to spatial proper… |
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| 92 |
G
3D shapes |
Recognise nets for prisms, pyramids, cubes and cones |
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| 93 |
G
3D shapes |
Viewing 3-D shapes. |
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| 94 |
G
3D shapes |
Constructing models. |
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| 95 |
G
Angles |
Adjacent angles |
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| 96 |
G
Angles |
Complementary and supplementary angles |
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| 97 |
G
Angles |
Vertically opposite angles |
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| 98 |
G
Angles |
Angles at a Point. |
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| 99 |
G
Angles |
Parallel Lines. |
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| 100 |
G
Angles |
Additional questions involving parallel lines |
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| 101 |
G
Angles |
Angle sum of a triangle |
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| 102 |
G
Angles |
Exterior angle theorem |
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| 103 |
G
Angles |
To determine angle labelling rules, naming angles accor… |
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| 104 |
G
Angles |
More difficult exercises involving parallel lines |
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| 105 |
AS
Series and sequences |
Further difficult exercises involving formal reasoning |
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| 106 |
G
Angles |
Angles of regular polygons |
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| 107 |
G
Angles |
Complementary angle results. |
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| 108 |
G
Angles |
Bearings – the compass. |
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| 109 |
G
Angles |
Theorem – Equal arcs on circles of equal radii subtend … |
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| 110 |
G
Angles |
Theorem – The perpendicular from the centre of a circle… |
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| 111 |
G
Angles |
Theorem – Equal chords in equal circles are equidistant… |
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| 112 |
G
Angles |
Theorem – The angle at the centre of a circle is double… |
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| 113 |
G
Angles |
Theorem – Angles in the same segment of a circle are eq… |
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| 114 |
G
Angles |
Theorem – The angle of a semi-circle is a right angle. |
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| 115 |
G
Angles |
Theorem – The opposite angles of a cyclic quadrilateral… |
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| 116 |
G
Angles |
Theorem – The exterior angle at a vertex of a cyclic qu… |
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| 117 |
G
Angles |
Theorem – The tangent to a circle is perpendicular to t… |
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| 118 |
G
Angles |
Theorem – Tangents to a circle from an external point a… |
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| 119 |
G
Angles |
Theorem – The angle between a tangent and a chord throu… |
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| 120 |
G
Angles |
Theorem – The products of the intercepts of two interse… |
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| 121 |
G
Angles |
Theorem – The square of the length of the tangent from … |
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| 122 |
G
Angles |
Theorem – If the opposite angles in a quadrilateral are… |
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| 123 |
G
Angles |
Theorem – If an interval subtends equal angles at two p… |
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| 124 |
G
Angles |
Theorem – When circles touch, the line of the centres p… |
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| 125 |
G
Angles |
Theorem – Any three non-collinear points lie on a uniqu… |
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| 126 |
G
Construction |
Geometric constructions |
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| 127 |
G
Construction |
To identify collinear points, coplanar lines and points… |
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| 128 |
G
Construction |
Angle bisector construction and its properties (Stage 2… |
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| 129 |
G
Construction |
Circumcentre and incentre (Stage 2) |
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| 130 |
G
Construction |
Orthocentre and centroids (Stage 2) |
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| 131 |
G
Construction |
Constructions and loci – single condition |
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| 132 |
G
Construction |
Constructions and loci – multiple conditions |
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| 133 |
G
Triangles |
Spatial properties of quadrilaterals |
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| 134 |
G
Similar shapes |
Similar triangles |
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| 135 |
G
Similar shapes |
Using similar triangles to calculate lengths |
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| 136 |
G
Similar shapes |
Special triangles |
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| 137 |
G
Transformations |
Use grids to enlarge/reduce 2D shapes |
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| 138 |
G
Transformations |
Special transformations – reflections, rotations and en… |
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| 139 |
G
Transformations |
Transformations – reflections |
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| 140 |
G
Transformations |
Geometry transformations without matrices: reflection (… |
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| 141 |
G
Transformations |
Geometry transformations without matrices: translation … |
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| 142 |
G
Transformations |
Geometry transformations without matrices: rotation (St… |
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| 143 |
G
Transformations |
Geometry transformations without matrices: dilation or … |
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| 144 |
G
Transformations |
The definition and concept of combined transformations … |
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| 145 |
G
Triangles |
Recognise and name triangles |
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| 146 |
G
Quadrilaterals |
Midsegments of Triangles |
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| 147 |
G
Triangles |
Congruent triangles, Test 1 and 2 |
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| 148 |
G
Triangles |
Congruent triangles, Test 3 and 4 |
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| 149 |
G
Triangles |
Proofs and congruent triangles. |
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| 150 |
G
Triangles |
Examples involving overlapping triangles |
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| 151 |
G
Pythagoras |
Find the hypotenuse |
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| 152 |
G
Pythagoras |
Pythagorean triples |
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| 153 |
G
Pythagoras |
Find the hypotenuse Part 2 |
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| 154 |
G
Pythagoras |
Calculating a leg of a right-angled triangle |
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| 155 |
G
Pythagoras |
Proofs of Pythagoras theorem |
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| 156 |
G
Trigonometry |
Graphing the trigonometric ratios – I Sine curve. |
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| 157 |
G
Trigonometry |
Graphing the trigonometric ratios – II Cosine curve. |
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| 158 |
G
Trigonometry |
Graphing the trigonometric ratios – III Tangent curve. |
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| 159 |
G
Trigonometry |
Graphing the trigonometric ratios – IV Reciprocal ratio… |
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| 160 |
G
Trigonometry |
Trigonometric ratios. |
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| 161 |
G
Trigonometry |
Using the calculator. |
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| 162 |
G
Trigonometry |
Using the trigonometric ratios to find unknown length. … |
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| 163 |
G
Trigonometry |
Using the trigonometric ratios to find unknown length. … |
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| 164 |
G
Trigonometry |
Using the trigonometric ratios to find unknown length. … |
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| 165 |
G
Trigonometry |
Unknown in the denominator. [Case 4]. |
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| 166 |
G
Trigonometry |
Angles of elevation and depression. |
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| 167 |
G
Trigonometry |
Trigonometric ratios in practical situations. |
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| 168 |
G
Trigonometry |
Using the calculator to find an angle given a trigonome… |
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| 169 |
G
Trigonometry |
Using the trigonometric ratios to find an angle in a ri… |
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| 170 |
G
Trigonometry |
Trigonometric ratios of 30., 45. and 60. – exact ratios… |
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| 171 |
G
Trigonometry |
The cosine rule to find an unknown side. [Case 1 SAS]. |
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| 172 |
G
Trigonometry |
The cosine rule to find an unknown angle. [Case 2 SSS]. |
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| 173 |
G
Trigonometry |
The sine rule to find an unknown side. Case 1. |
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| 174 |
G
Trigonometry |
The sine rule to find an unknown angle. Case 2. |
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| 175 |
G
Trigonometry |
The area formula |
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| 176 |
G
Trigonometry |
Reciprocal ratios. |
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| 177 |
G
Trigonometry |
Angles of any magnitude |
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| 178 |
G
Trigonometry |
Trigonometric ratios of 0°, 90°, 180°, 270° and 360° |
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| 179 |
G
Coordinate geometry |
Distance formula. |
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| 180 |
G
Coordinate geometry |
Mid-point formula |
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| 181 |
G
Coordinate geometry |
Gradient |
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| 182 |
G
Coordinate geometry |
Gradient formula. |
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| 183 |
G
Coordinate geometry |
The straight line. |
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| 184 |
G
Coordinate geometry |
Lines through the origin. |
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| 185 |
G
Coordinate geometry |
General form of a line and the x and y Intercepts. |
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| 186 |
AS
Series and sequences |
General sequences. |
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| 187 |
AS
Series and sequences |
Finding Tn given Sn. |
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| 188 |
A
Simplifying |
Algebraic expressions. |
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| 189 |
A
Simplifying |
Simplifying Algebraic expressions: combining addition a… |
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| 190 |
A
Simplifying |
Simplifying algebraic expressions: multiplication |
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| 191 |
A
Simplifying |
Simplifying algebraic expressions: division |
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| 192 |
A
Simplifying |
Expanding algebraic expressions: multiplication |
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| 193 |
A
Simplifying |
Expanding algebraic expressions: negative multiplier |
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| 194 |
A
Simplifying |
Expanding and simplifying algebraic expressions |
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| 195 |
A
Simplifying |
Simplifying algebraic fractions using the index laws. |
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| 196 |
A
Simplifying |
Algebraic fractions resulting in negative indices. |
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| 197 |
A
Simplifying |
Cancelling binomial factors in algebraic fractions. |
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| 198 |
A
Simplifying |
Products in simplification of algebraic expressions |
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| 199 |
A
Simplifying |
Algebraic Expressions – Larger expansions. |
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| 200 |
A
Simplifying |
Simplifying algebraic fractions. |
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| 201 |
A
Inequalities |
Simplifying absolute values |
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| 202 |
A
Graphs |
Quadratic polynomials of the form y = ax. + bx + c. |
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| 203 |
A
Graphs |
Graphing perfect squares: y=(a-x) squared |
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| 204 |
A
Graphs |
Solve by graphing |
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| 205 |
A
Graphs |
Graphing cubic curves |
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| 206 |
A
Equations |
Solving equations containing addition and subtraction |
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| 207 |
A
Equations |
Solving equations containing multiplication and divisio… |
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| 208 |
A
Equations |
Solving two step equations |
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| 209 |
A
Equations |
Solving equations containing binomial expressions |
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| 210 |
A
Equations |
Equations involving grouping symbols. |
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| 211 |
A
Equations |
Equations involving fractions. |
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| 212 |
A
Inequalities |
Solving for the variable |
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| 213 |
A
Equations |
Simultaneous equations |
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| 214 |
A
Equations |
Elimination method |
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| 215 |
A
Equations |
Elimination method part 2 |
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| 216 |
A
Equations |
Applications of simultaneous equations |
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| 217 |
A
Factorising |
Expansions leading to the difference of two squares |
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| 218 |
A
Factorising |
Common factor and the difference of two squares |
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| 219 |
A
Factorising |
Factorising quadratic trinomials [monic] – Case 2. |
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| 220 |
A
Factorising |
Factorising quadratic trinomials [monic] – Case 3. |
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| 221 |
A
Factorising |
Factorising quadratic trinomials [monic] – Case 4. |
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| 222 |
A
Factorising |
Factorisation of non-monic quadratic trinomials |
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| 223 |
A
Factorising |
Factorisation of non-monic quadratic trinomials – moon … |
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| 224 |
A
Simplifying |
Substitution into algebraic expressions. |
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| 225 |
A
Formulae |
Equations resulting from substitution into formulae. |
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| 226 |
A
Formulae |
Changing the subject of the formula. |
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| 227 |
A
Factorising |
Simplifying easy algebraic fractions. |
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| 228 |
A
Factorising |
Factorisation of algebraic fractions including binomial… |
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| 229 |
A
Inequalities |
Solving Inequalities. |
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| 230 |
A
Inequalities |
Solving and graphing inequalities |
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| 231 |
A
Inequalities |
Inequalities on the number plane. |
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| 232 |
A
Roots |
Difference of two squares |
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| 233 |
A
Roots |
Quadratic trinomials [monic] – Case 1. |
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| 234 |
A
Roots |
Introduction to quadratic equations. |
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| 235 |
A
Roots |
Quadratic equations with factorisation. |
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| 236 |
A
Roots |
Solving quadratic equations. |
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| 237 |
A
Roots |
The quadratic formula |
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| 238 |
A
Roots |
Problem solving with quadratic equations |
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| 239 |
A
Roots |
Solving simultaneous quadratic equations graphically |
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| 240 |
A
Matrices |
Vectors |
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| 241 |
S
Scatter diagrams |
The range. |
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| 242 |
S
Probability |
The mode |
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| 243 |
S
Probability |
The mean |
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| 244 |
S
Probability |
The median |
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| 245 |
S
Probability |
Calculating the median from a frequency distribution |
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| 246 |
S
Averages |
Calculating mean, mode and median from grouped data |
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| 247 |
S
Averages |
Range as a measure of dispersion |
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| 248 |
S
Averages |
Measures of spread |
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| 249 |
S
Averages |
Measures of spread: the interquartile range |
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| 250 |
S
Pie charts |
Pie and bar graphs. |
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| 251 |
S
Scatter diagrams |
Scatter Diagrams |
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| 252 |
S
Scatter diagrams |
Stem and Leaf Plots along with Box and Whisker Plots |
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| 253 |
S
Probability |
Cumulative frequency |
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| 254 |
S
Scatter diagrams |
Frequency histograms and polygons |
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| 255 |
S
Pie charts |
Line graphs. |
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| 256 |
P
Scatter diagrams |
Frequency distribution table |
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| 257 |
P
Scatter diagrams |
Relative frequency |
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| 258 |
P
Probability |
Probability of Simple Events |
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| 259 |
P
Probability |
Rolling a pair of dice |
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| 260 |
P
Probability |
Experimental probability |
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| 261 |
P
Probability |
Tree diagrams – not depending on previous outcomes |
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| 262 |
P
Probability |
Tree diagrams – depending on previous outcomes |
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| 263 |
End of Course Assessment |
End of Course Assessment |
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