1 
Initial Assessment 
Initial Assessment 


2 
N
Multiplication and division 
Multiplying 4digit numbers by 3digit numbers 


3 
N
Multiplication and division 
Multiplying 4digit numbers by 4digit number 


4 
N
Decimals 
Multiplying decimals by 10, 100 and 1000 


5 
N
Multiplication and division 
Repeated subtraction with divisors greater than 20 with… 


6 
N
Multiplication and division 
Repeated subtraction with divisors less than 35 with so… 


7 
N
Multiplication and division 
Repeated subtraction with divisors less than 55 with di… 


8 
N
Multiplication and division 
Repeated subtraction with divisors greater than 50 with… 


9 
N
Multiplication and division 
Using divide, multiply and subtraction in the bring dow… 


10 
N
Decimals 
Dividing decimals by 10, 100 and 1000 


11 
N
Simplifying 
Directed numbers: addition and subtraction. 


12 
N
Simplifying 
Directed numbers: multiplication and division. 


13 
N
Bidmas 
Using Order of Operation procedures (BIDMAS) with Fract… 


14 
N
Multiplication and division 
Multiples and factors of whole numbers 


15 
N
Multiples and factors 
Highest common factor. 


16 
N
Multiples and factors 
Factors by grouping. 


17 
N
Decimals 
Rounding decimals 


18 
N
Decimals 
Decimals to three decimal places 


19 
N
Decimals 
Adding decimals with a different number of decimal plac… 


20 
N
Decimals 
Subtracting decimals with a different number of places 


21 
N
Decimals 
Multiplying decimals by whole numbers 


22 
N
Decimals 
Multiplication of decimals by decimals to two decimal p… 


23 
N
Decimals 
Dividing decimal fractions by whole numbers 


24 
N
Decimals 
Dividing numbers by a decimal fraction 


25 
N
Fractions 
Adding and subtracting fractions with different denomin… 


26 
N
Fractions 
Multiplying fractions by whole numbers 


27 
N
Fractions 
Fractions of whole numbers 


28 
N
Fractions 
Multiplying fractions 


29 
N
Fractions 
Multiplying mixed numbers (mixed numerals) 


30 
N
Fractions 
Finding reciprocals of fractions and mixed numbers (mix… 


31 
N
Fractions 
Dividing fractions 


32 
N
Fractions 
Dividing mixed numbers (mixed numerals) 


33 
N
Indices 
Adding indices when multiplying terms with the same bas… 


34 
N
Indices 
Subtracting indices when dividing terms with the same b… 


35 
N
Indices 
Multiplying indices when raising a power to a power 


36 
N
Indices 
Multiplying indices when raising to more than one term 


37 
N
Indices 
Terms raised to the power of zero 


38 
N
Indices 
Negative Indices 


39 
N
Indices 
Fractional indices 


40 
N
Indices 
Complex fractions as indices 


41 
N
Percentages 
Calculating Percentages and Fractions of Quantities 


42 
N
Percentages 
Introduction to percentages, including converting fract… 


43 
N
Percentages 
Changing fractions and decimals to percentages using te… 


44 
N
Percentages 
Changing percentages to fractions and decimals 


45 
N
Percentages 
One quantity as a percentage of another 


46 
N
Percentages 
Compound interest 


47 
N
Approximation 
Significant figures 


48 
N
Speed 
Average speed 


49 
N
Standard form 
Scientific notation with larger numbers 


50 
N
Standard form 
Scientific notation with small numbers 


51 
N
Standard form 
Changing scientific notation to numerals 


52 
N
Sets 
Number sets and their members 


53 
N
Real numbers 
Properties of real numbers using addition and multiplic… 


54 
N
Surds 
Introducing surds 


55 
N
Surds 
Some rules for the operations with surds 


56 
N
Surds 
Simplifying surds 


57 
N
Surds 
Creating entire surds 


58 
N
Surds 
Adding and subtracting like surds 


59 
N
Surds 
Expanding surds 


60 
N
Surds 
Conjugate binomials with surds 


61 
N
Surds 
Rationalising the denominator 


62 
N
Surds 
Rationalising binomial denominators 


63 
M
Problem solving 
Compare and convert formal units of measurement 


64 
M
Capacity 
Estimate, measure and compare the capacity of container… 


65 
M
Problem solving 
Areas of rectangles and parallelograms 


66 
M
Problem solving 
Finding the area of a triangle and other composite shap… 


67 
M
Problem solving 
Area of a trapezium. 


68 
M
Problem solving 
Area of a rhombus. 


69 
M
Problem solving 
Area of a circle. 


70 
M
Problem solving 
Area of regular polygons and composite figures. 


71 
M
Surface area 
Surface area of a cube/rectangular prism. 


72 
M
Surface area 
Surface area of a triangular/trapezoidal prism. 


73 
M
Surface area 
Surface area of a cylinder and sphere. 


74 
M
Surface area 
Surface area of pyramids 


75 
M
Surface area 
Surface area of cones 


76 
M
Surface area 
Surface area of composite solids 


77 
M
Volume 
Introducing the formula for volume. 


78 
M
Volume 
Using the cubic metre to measure volume. 


79 
M
Volume 
Solving Problems about Volume – Part 1. 


80 
M
Volume 
Solving Problems about Volume – Part 2. 


81 
M
Volume 
Finding the volume of prisms 


82 
M
Volume 
Volume of a cylinder and sphere. 


83 
M
Volume 
Volume of pyramids and cones. 


84 
M
Volume 
Composite solids. 


85 
M
Problem solving 
Problems with length. 


86 
M
Problem solving 
Problems with mass. 


87 
M
Problem solving 
Problems with area. 


88 
M
Problem solving 
Problems with volume/capacity. 


89 
G
Triangles 
Using the prefix to determine polygons 


90 
G
3D shapes 
Recognise and name prisms according to spatial properti… 


91 
G
3D shapes 
Recognise and name pyramids according to spatial proper… 


92 
G
3D shapes 
Recognise nets for prisms, pyramids, cubes and cones 


93 
G
3D shapes 
Viewing 3D shapes. 


94 
G
3D shapes 
Constructing models. 


95 
G
Angles 
Adjacent angles 


96 
G
Angles 
Complementary and supplementary angles 


97 
G
Angles 
Vertically opposite angles 


98 
G
Angles 
Angles at a Point. 


99 
G
Angles 
Parallel Lines. 


100 
G
Angles 
Additional questions involving parallel lines 


101 
G
Angles 
Angle sum of a triangle 


102 
G
Angles 
Exterior angle theorem 


103 
G
Angles 
To determine angle labelling rules, naming angles accor… 


104 
G
Angles 
More difficult exercises involving parallel lines 


105 
AS
Series and sequences 
Further difficult exercises involving formal reasoning 


106 
G
Angles 
Angles of regular polygons 


107 
G
Angles 
Complementary angle results. 


108 
G
Angles 
Bearings – the compass. 


109 
G
Angles 
Theorem – Equal arcs on circles of equal radii subtend … 


110 
G
Angles 
Theorem – The perpendicular from the centre of a circle… 


111 
G
Angles 
Theorem – Equal chords in equal circles are equidistant… 


112 
G
Angles 
Theorem – The angle at the centre of a circle is double… 


113 
G
Angles 
Theorem – Angles in the same segment of a circle are eq… 


114 
G
Angles 
Theorem – The angle of a semicircle is a right angle. 


115 
G
Angles 
Theorem – The opposite angles of a cyclic quadrilateral… 


116 
G
Angles 
Theorem – The exterior angle at a vertex of a cyclic qu… 


117 
G
Angles 
Theorem – The tangent to a circle is perpendicular to t… 


118 
G
Angles 
Theorem – Tangents to a circle from an external point a… 


119 
G
Angles 
Theorem – The angle between a tangent and a chord throu… 


120 
G
Angles 
Theorem – The products of the intercepts of two interse… 


121 
G
Angles 
Theorem – The square of the length of the tangent from … 


122 
G
Angles 
Theorem – If the opposite angles in a quadrilateral are… 


123 
G
Angles 
Theorem – If an interval subtends equal angles at two p… 


124 
G
Angles 
Theorem – When circles touch, the line of the centres p… 


125 
G
Angles 
Theorem – Any three noncollinear points lie on a uniqu… 


126 
G
Construction 
Geometric constructions 


127 
G
Construction 
To identify collinear points, coplanar lines and points… 


128 
G
Construction 
Angle bisector construction and its properties (Stage 2… 


129 
G
Construction 
Circumcentre and incentre (Stage 2) 


130 
G
Construction 
Orthocentre and centroids (Stage 2) 


131 
G
Construction 
Constructions and loci – single condition 


132 
G
Construction 
Constructions and loci – multiple conditions 


133 
G
Triangles 
Spatial properties of quadrilaterals 


134 
G
Similar shapes 
Similar triangles 


135 
G
Similar shapes 
Using similar triangles to calculate lengths 


136 
G
Similar shapes 
Special triangles 


137 
G
Transformations 
Use grids to enlarge/reduce 2D shapes 


138 
G
Transformations 
Special transformations – reflections, rotations and en… 


139 
G
Transformations 
Transformations – reflections 


140 
G
Transformations 
Geometry transformations without matrices: reflection (… 


141 
G
Transformations 
Geometry transformations without matrices: translation … 


142 
G
Transformations 
Geometry transformations without matrices: rotation (St… 


143 
G
Transformations 
Geometry transformations without matrices: dilation or … 


144 
G
Transformations 
The definition and concept of combined transformations … 


145 
G
Triangles 
Recognise and name triangles 


146 
G
Quadrilaterals 
Midsegments of Triangles 


147 
G
Triangles 
Congruent triangles, Test 1 and 2 


148 
G
Triangles 
Congruent triangles, Test 3 and 4 


149 
G
Triangles 
Proofs and congruent triangles. 


150 
G
Triangles 
Examples involving overlapping triangles 


151 
G
Pythagoras 
Find the hypotenuse 


152 
G
Pythagoras 
Pythagorean triples 


153 
G
Pythagoras 
Find the hypotenuse Part 2 


154 
G
Pythagoras 
Calculating a leg of a rightangled triangle 


155 
G
Pythagoras 
Proofs of Pythagoras theorem 


156 
G
Trigonometry 
Graphing the trigonometric ratios – I Sine curve. 


157 
G
Trigonometry 
Graphing the trigonometric ratios – II Cosine curve. 


158 
G
Trigonometry 
Graphing the trigonometric ratios – III Tangent curve. 


159 
G
Trigonometry 
Graphing the trigonometric ratios – IV Reciprocal ratio… 


160 
G
Trigonometry 
Trigonometric ratios. 


161 
G
Trigonometry 
Using the calculator. 


162 
G
Trigonometry 
Using the trigonometric ratios to find unknown length. … 


163 
G
Trigonometry 
Using the trigonometric ratios to find unknown length. … 


164 
G
Trigonometry 
Using the trigonometric ratios to find unknown length. … 


165 
G
Trigonometry 
Unknown in the denominator. [Case 4]. 


166 
G
Trigonometry 
Angles of elevation and depression. 


167 
G
Trigonometry 
Trigonometric ratios in practical situations. 


168 
G
Trigonometry 
Using the calculator to find an angle given a trigonome… 


169 
G
Trigonometry 
Using the trigonometric ratios to find an angle in a ri… 


170 
G
Trigonometry 
Trigonometric ratios of 30., 45. and 60. – exact ratios… 


171 
G
Trigonometry 
The cosine rule to find an unknown side. [Case 1 SAS]. 


172 
G
Trigonometry 
The cosine rule to find an unknown angle. [Case 2 SSS]. 


173 
G
Trigonometry 
The sine rule to find an unknown side. Case 1. 


174 
G
Trigonometry 
The sine rule to find an unknown angle. Case 2. 


175 
G
Trigonometry 
The area formula 


176 
G
Trigonometry 
Reciprocal ratios. 


177 
G
Trigonometry 
Angles of any magnitude 


178 
G
Trigonometry 
Trigonometric ratios of 0°, 90°, 180°, 270° and 360° 


179 
G
Coordinate geometry 
Distance formula. 


180 
G
Coordinate geometry 
Midpoint formula 


181 
G
Coordinate geometry 
Gradient 


182 
G
Coordinate geometry 
Gradient formula. 


183 
G
Coordinate geometry 
The straight line. 


184 
G
Coordinate geometry 
Lines through the origin. 


185 
G
Coordinate geometry 
General form of a line and the x and y Intercepts. 


186 
AS
Series and sequences 
General sequences. 


187 
AS
Series and sequences 
Finding Tn given Sn. 


188 
A
Simplifying 
Algebraic expressions. 


189 
A
Simplifying 
Simplifying Algebraic expressions: combining addition a… 


190 
A
Simplifying 
Simplifying algebraic expressions: multiplication 


191 
A
Simplifying 
Simplifying algebraic expressions: division 


192 
A
Simplifying 
Expanding algebraic expressions: multiplication 


193 
A
Simplifying 
Expanding algebraic expressions: negative multiplier 


194 
A
Simplifying 
Expanding and simplifying algebraic expressions 


195 
A
Simplifying 
Simplifying algebraic fractions using the index laws. 


196 
A
Simplifying 
Algebraic fractions resulting in negative indices. 


197 
A
Simplifying 
Cancelling binomial factors in algebraic fractions. 


198 
A
Simplifying 
Products in simplification of algebraic expressions 


199 
A
Simplifying 
Algebraic Expressions – Larger expansions. 


200 
A
Simplifying 
Simplifying algebraic fractions. 


201 
A
Inequalities 
Simplifying absolute values 


202 
A
Graphs 
Quadratic polynomials of the form y = ax. + bx + c. 


203 
A
Graphs 
Graphing perfect squares: y=(ax) squared 


204 
A
Graphs 
Solve by graphing 


205 
A
Graphs 
Graphing cubic curves 


206 
A
Equations 
Solving equations containing addition and subtraction 


207 
A
Equations 
Solving equations containing multiplication and divisio… 


208 
A
Equations 
Solving two step equations 


209 
A
Equations 
Solving equations containing binomial expressions 


210 
A
Equations 
Equations involving grouping symbols. 


211 
A
Equations 
Equations involving fractions. 


212 
A
Inequalities 
Solving for the variable 


213 
A
Equations 
Simultaneous equations 


214 
A
Equations 
Elimination method 


215 
A
Equations 
Elimination method part 2 


216 
A
Equations 
Applications of simultaneous equations 


217 
A
Factorising 
Expansions leading to the difference of two squares 


218 
A
Factorising 
Common factor and the difference of two squares 


219 
A
Factorising 
Factorising quadratic trinomials [monic] – Case 2. 


220 
A
Factorising 
Factorising quadratic trinomials [monic] – Case 3. 


221 
A
Factorising 
Factorising quadratic trinomials [monic] – Case 4. 


222 
A
Factorising 
Factorisation of nonmonic quadratic trinomials 


223 
A
Factorising 
Factorisation of nonmonic quadratic trinomials – moon … 


224 
A
Simplifying 
Substitution into algebraic expressions. 


225 
A
Formulae 
Equations resulting from substitution into formulae. 


226 
A
Formulae 
Changing the subject of the formula. 


227 
A
Factorising 
Simplifying easy algebraic fractions. 


228 
A
Factorising 
Factorisation of algebraic fractions including binomial… 


229 
A
Inequalities 
Solving Inequalities. 


230 
A
Inequalities 
Solving and graphing inequalities 


231 
A
Inequalities 
Inequalities on the number plane. 


232 
A
Roots 
Difference of two squares 


233 
A
Roots 
Quadratic trinomials [monic] – Case 1. 


234 
A
Roots 
Introduction to quadratic equations. 


235 
A
Roots 
Quadratic equations with factorisation. 


236 
A
Roots 
Solving quadratic equations. 


237 
A
Roots 
The quadratic formula 


238 
A
Roots 
Problem solving with quadratic equations 


239 
A
Roots 
Solving simultaneous quadratic equations graphically 


240 
A
Matrices 
Vectors 


241 
S
Scatter diagrams 
The range. 


242 
S
Probability 
The mode 


243 
S
Probability 
The mean 


244 
S
Probability 
The median 


245 
S
Probability 
Calculating the median from a frequency distribution 


246 
S
Averages 
Calculating mean, mode and median from grouped data 


247 
S
Averages 
Range as a measure of dispersion 


248 
S
Averages 
Measures of spread 


249 
S
Averages 
Measures of spread: the interquartile range 


250 
S
Pie charts 
Pie and bar graphs. 


251 
S
Scatter diagrams 
Scatter Diagrams 


252 
S
Scatter diagrams 
Stem and Leaf Plots along with Box and Whisker Plots 


253 
S
Probability 
Cumulative frequency 


254 
S
Scatter diagrams 
Frequency histograms and polygons 


255 
S
Pie charts 
Line graphs. 


256 
P
Scatter diagrams 
Frequency distribution table 


257 
P
Scatter diagrams 
Relative frequency 


258 
P
Probability 
Probability of Simple Events 


259 
P
Probability 
Rolling a pair of dice 


260 
P
Probability 
Experimental probability 


261 
P
Probability 
Tree diagrams – not depending on previous outcomes 


262 
P
Probability 
Tree diagrams – depending on previous outcomes 


263 
End of Course Assessment 
End of Course Assessment 

