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