| 1 |
Initial Assessment |
Initial Assessment |
| 2 |
Problem solving |
Problems with numbers. |
| 3 |
Problem solving |
Problems involving money |
| 4 |
Fractions |
Comparing and ordering fractions |
| 5 |
Fractions |
Comparing and ordering fractions greater than (>) 1 |
| 6 |
Fractions |
Adding and subtracting fractions with different denomin… |
| 7 |
Fractions |
Multiplying fractions by whole numbers |
| 8 |
Fractions |
Fractions of whole numbers |
| 9 |
Fractions |
Multiplying fractions |
| 10 |
Fractions |
Multiplying mixed numbers (mixed numerals) |
| 11 |
Fractions |
Finding reciprocals of fractions and mixed numbers (mix… |
| 12 |
Fractions |
Dividing fractions |
| 13 |
Fractions |
Dividing mixed numbers (mixed numerals) |
| 14 |
Simplifying |
Simplifying algebraic fractions using the index laws. |
| 15 |
Decimals |
Rounding decimals |
| 16 |
Decimals |
Decimals to three decimal places |
| 17 |
Approximation |
Significant figures |
| 18 |
Decimals |
Adding decimals with a different number of decimal plac… |
| 19 |
Decimals |
Subtracting decimals with a different number of places |
| 20 |
Decimals |
Multiplying decimals by whole numbers |
| 21 |
Decimals |
Multiplication of decimals by decimals to two decimal p… |
| 22 |
Decimals |
Dividing decimal fractions by whole numbers |
| 23 |
Decimals |
Dividing numbers by a decimal fraction |
| 24 |
Percentages |
Calculating Percentages and Fractions of Quantities |
| 25 |
Percentages |
Introduction to percentages, including relating common … |
| 26 |
Percentages |
Changing fractions and decimals to percentages using te… |
| 27 |
Percentages |
Changing percentages to fractions and decimals |
| 28 |
Percentages |
One quantity as a percentage of another |
| 29 |
Percentages |
Compound interest |
| 30 |
Standard form |
Scientific notation with larger numbers |
| 31 |
Standard form |
Scientific notation with small numbers |
| 32 |
Standard form |
Changing scientific notation to numerals |
| 33 |
Multiplication and division |
Multiples and factors of whole numbers |
| 34 |
Multiples and factors |
Highest common factor. |
| 35 |
Multiples and factors |
Factors by grouping. |
| 36 |
Speed |
Average speed |
| 37 |
Indices |
Adding indices when multiplying terms with the same bas… |
| 38 |
Indices |
Subtracting indices when dividing terms with the same b… |
| 39 |
Indices |
Multiplying indices when raising a power to a power |
| 40 |
Indices |
Multiplying indices when raising to more than one term |
| 41 |
Indices |
Terms raised to the power of zero |
| 42 |
Indices |
Negative Indices |
| 43 |
Indices |
Fractional indices |
| 44 |
Problem solving |
Introducing the rules for finding the area of a rectang… |
| 45 |
Problem solving |
Finding the area of a triangle and other composite shap… |
| 46 |
Problem solving |
Larger areas: square metre, hectare, square kilometre. |
| 47 |
Problem solving |
Comparing and ordering areas. |
| 48 |
Problem solving |
Area of a trapezium. |
| 49 |
Problem solving |
Area of a rhombus. |
| 50 |
Problem solving |
Area of a circle. |
| 51 |
Problem solving |
Area of regular polygons and composite figures. |
| 52 |
Volume |
Introduction to volume. using the cubic centimetre as a… |
| 53 |
Volume |
Using the cubic centimetre to measure volume. |
| 54 |
Volume |
Introducing the formula for volume. |
| 55 |
Volume |
Using the cubic metre to measure volume. |
| 56 |
Volume |
Solving Problems about Volume – Part 1. |
| 57 |
Volume |
Solving Problems about Volume – Part 2. |
| 58 |
Volume |
Finding the volume of prisms |
| 59 |
Problem solving |
Problems with length. |
| 60 |
Problem solving |
Problems with mass. |
| 61 |
Problem solving |
Problems with area. |
| 62 |
Problem solving |
Problems with volume/capacity. |
| 63 |
Surface area |
Surface area of a cube/rectangular prism. |
| 64 |
Surface area |
Surface area of a triangular/trapezoidal prism. |
| 65 |
Angles |
Adjacent angles |
| 66 |
Angles |
Complementary and supplementary angles |
| 67 |
Angles |
Vertically opposite angles |
| 68 |
Angles |
Angles at a Point. |
| 69 |
Angles |
Parallel Lines. |
| 70 |
Angles |
Additional questions involving parallel lines |
| 71 |
Angles |
Angle sum of a triangle |
| 72 |
Angles |
Exterior angle theorem |
| 73 |
Angles |
To determine angle labelling rules, naming angles accor… |
| 74 |
Angles |
More difficult exercises involving parallel lines |
| 75 |
Series and sequences |
Further difficult exercises involving formal reasoning |
| 76 |
Angles |
Angles of regular polygons |
| 77 |
Angles |
Complementary angle results. |
| 78 |
Angles |
Bearings – the compass. |
| 79 |
Triangles |
Recognise and name triangles |
| 80 |
Quadrilaterals |
Midsegments of Triangles |
| 81 |
Triangles |
Congruent triangles, Test 1 and 2 |
| 82 |
Triangles |
Congruent triangles, Test 3 and 4 |
| 83 |
Triangles |
Spatial properties of quadrilaterals |
| 84 |
Pythagoras |
Find the hypotenuse |
| 85 |
Pythagoras |
Pythagorean triples |
| 86 |
Pythagoras |
Find the hypotenuse Part 2 |
| 87 |
Pythagoras |
Calculating a leg of a right-angled triangle |
| 88 |
Pythagoras |
Proofs of Pythagoras theorem |
| 89 |
Construction |
Geometric constructions |
| 90 |
Construction |
To identify collinear points, coplanar lines and points… |
| 91 |
Construction |
Angle bisector construction and its properties (Stage 2… |
| 92 |
Construction |
Circumcentre and incentre (Stage 2) |
| 93 |
Construction |
Orthocentre and centroids (Stage 2) |
| 94 |
Construction |
Constructions and loci – single condition |
| 95 |
Construction |
Constructions and loci – multiple conditions |
| 96 |
Transformations |
Use grids to enlarge/reduce 2D shapes |
| 97 |
Transformations |
Transformations – reflections |
| 98 |
Transformations |
Geometry transformations without matrices: reflection (… |
| 99 |
Transformations |
Geometry transformations without matrices: translation … |
| 100 |
Transformations |
Geometry transformations without matrices: rotation (St… |
| 101 |
Transformations |
Geometry transformations without matrices: dilation or … |
| 102 |
Transformations |
The definition and concept of combined transformations … |
| 103 |
Trigonometry |
Trigonometric ratios. |
| 104 |
Trigonometry |
Using the calculator. |
| 105 |
Trigonometry |
Using the trigonometric ratios to find unknown length. … |
| 106 |
Trigonometry |
Using the trigonometric ratios to find unknown length. … |
| 107 |
Trigonometry |
Using the trigonometric ratios to find unknown length. … |
| 108 |
Trigonometry |
Unknown in the denominator. [Case 4]. |
| 109 |
Trigonometry |
Using the calculator to find an angle given a trigonome… |
| 110 |
Trigonometry |
Using the trigonometric ratios to find an angle in a ri… |
| 111 |
Series and sequences |
General sequences. |
| 112 |
Series and sequences |
Finding Tn given Sn. |
| 113 |
Simplifying |
Algebraic expressions. |
| 114 |
Simplifying |
Substitution into algebraic expressions. |
| 115 |
Formulae |
Equations resulting from substitution into formulae. |
| 116 |
Formulae |
Changing the subject of the formula. |
| 117 |
Simplifying |
Simplifying algebraic expressions: multiplication |
| 118 |
Simplifying |
Simplifying algebraic expressions: division |
| 119 |
Simplifying |
Expanding algebraic expressions: multiplication |
| 120 |
Simplifying |
Expanding algebraic expressions: negative multiplier |
| 121 |
Simplifying |
Expanding and simplifying algebraic expressions |
| 122 |
Inequalities |
Simplifying absolute values |
| 123 |
Equations |
Solving equations containing addition and subtraction |
| 124 |
Equations |
Solving equations containing multiplication and divisio… |
| 125 |
Equations |
Solving two step equations |
| 126 |
Equations |
Solving equations containing binomial expressions |
| 127 |
Equations |
Equations involving grouping symbols. |
| 128 |
Equations |
Equations involving fractions. |
| 129 |
Inequalities |
Solving for the variable |
| 130 |
Equations |
Simultaneous equations |
| 131 |
Equations |
Elimination method |
| 132 |
Equations |
Elimination method part 2 |
| 133 |
Equations |
Applications of simultaneous equations |
| 134 |
Graphs |
Quadratic polynomials of the form y = ax. + bx + c. |
| 135 |
Factorising |
Expansions leading to the difference of two squares |
| 136 |
Factorising |
Common factor and the difference of two squares |
| 137 |
Factorising |
Factorising quadratic trinomials [monic] – Case 2. |
| 138 |
Factorising |
Factorising quadratic trinomials [monic] – Case 3. |
| 139 |
Factorising |
Factorising quadratic trinomials [monic] – Case 4. |
| 140 |
Inequalities |
Solving Inequalities. |
| 141 |
Inequalities |
Inequalities on the number plane. |
| 142 |
Inequalities |
Solving and graphing inequalities |
| 143 |
Scatter diagrams |
The range. |
| 144 |
Probability |
The mode |
| 145 |
Probability |
The mean |
| 146 |
Probability |
The median |
| 147 |
Probability |
Calculating the median from a frequency distribution |
| 148 |
Averages |
Calculating mean, mode and median from grouped data |
| 149 |
Averages |
Measures of spread: the interquartile range |
| 150 |
Scatter diagrams |
Stem and Leaf Plots along with Box and Whisker Plots |
| 151 |
Pie charts |
Bar Charts |
| 152 |
Probability |
Cumulative frequency |
| 153 |
Scatter diagrams |
Frequency histograms and polygons |
| 154 |
Pie charts |
Line graphs. |
| 155 |
Pie charts |
Pie and bar graphs. |
| 156 |
Scatter diagrams |
Scatter Diagrams |
| 157 |
Scatter diagrams |
Frequency distribution table |
| 158 |
Scatter diagrams |
Relative frequency |
| 159 |
Probability |
Probability of Simple Events |
| 160 |
Probability |
Rolling a pair of dice |
| 161 |
Probability |
Experimental probability |
| 162 |
Probability |
Tree diagrams – not depending on previous outcomes |
| 163 |
Probability |
Tree diagrams – depending on previous outcomes |
| 164 |
End of Course Assessment |
End of Course Assessment |