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 |