Skip to main content
Latest Results:

KS4 – Higher Mathematics

# TITLE TOPIC
1 Multiplying 4-digit numbers by 3-digit numbers Multiplication and division

+ INFO

Current lesson
2 Multiplying 4-digit numbers by 4-digit number Multiplication and division

+ INFO

To be done
3 Multiplying decimals by 10, 100 and 1000 Decimals

+ INFO

To be done
4 Repeated subtraction with divisors greater than 20 with… Multiplication and division

+ INFO

To be done
5 Repeated subtraction with divisors less than 35 with so… Multiplication and division

+ INFO

To be done
6 Repeated subtraction with divisors less than 55 with di… Multiplication and division

+ INFO

To be done
7 Repeated subtraction with divisors greater than 50 with… Multiplication and division

+ INFO

To be done
8 Using divide, multiply and subtraction in the bring dow… Multiplication and division

+ INFO

To be done
9 Dividing decimals by 10, 100 and 1000 Decimals

+ INFO

To be done
10 Directed numbers: addition and subtraction. Simplifying

+ INFO

To be done
11 Directed numbers: multiplication and division. Simplifying

+ INFO

To be done
12 Using Order of Operation procedures (BIDMAS) with Fract… Bidmas

+ INFO

To be done
13 Multiples and factors of whole numbers Multiplication and division

+ INFO

To be done
14 Highest common factor. Multiples and factors

+ INFO

To be done
15 Factors by grouping. Multiples and factors

+ INFO

To be done
16 Rounding decimals Decimals

+ INFO

To be done
17 Decimals to three decimal places Decimals

+ INFO

To be done
18 Adding decimals with a different number of decimal plac… Decimals

+ INFO

To be done
19 Subtracting decimals with a different number of places Decimals

+ INFO

To be done
20 Multiplying decimals by whole numbers Decimals

+ INFO

To be done
21 Multiplication of decimals by decimals to two decimal p… Decimals

+ INFO

To be done
22 Dividing decimal fractions by whole numbers Decimals

+ INFO

To be done
23 Dividing numbers by a decimal fraction Decimals

+ INFO

To be done
24 Adding and subtracting fractions with different denomin… Fractions

+ INFO

To be done
25 Multiplying fractions by whole numbers Fractions

+ INFO

To be done
26 Fractions of whole numbers Fractions

+ INFO

To be done
27 Multiplying fractions Fractions

+ INFO

To be done
28 Multiplying mixed numbers (mixed numerals) Fractions

+ INFO

To be done
29 Finding reciprocals of fractions and mixed numbers (mix… Fractions

+ INFO

To be done
30 Dividing fractions Fractions

+ INFO

To be done
31 Dividing mixed numbers (mixed numerals) Fractions

+ INFO

To be done
32 Adding indices when multiplying terms with the same bas… Indices

+ INFO

To be done
33 Subtracting indices when dividing terms with the same b… Indices

+ INFO

To be done
34 Multiplying indices when raising a power to a power Indices

+ INFO

To be done
35 Multiplying indices when raising to more than one term Indices

+ INFO

To be done
36 Terms raised to the power of zero Indices

+ INFO

To be done
37 Negative Indices Indices

+ INFO

To be done
38 Fractional indices Indices

+ INFO

To be done
39 Complex fractions as indices Indices

+ INFO

To be done
40 Calculating Percentages and Fractions of Quantities Percentages

+ INFO

To be done
41 Introduction to percentages, including converting fract… Percentages

+ INFO

To be done
42 Changing fractions and decimals to percentages using te… Percentages

+ INFO

To be done
43 Changing percentages to fractions and decimals Percentages

+ INFO

To be done
44 One quantity as a percentage of another Percentages

+ INFO

To be done
45 Compound interest Percentages

+ INFO

To be done
46 Significant figures Approximation

+ INFO

To be done
47 Average speed Speed

+ INFO

To be done
48 Scientific notation with larger numbers Standard form

+ INFO

To be done
49 Scientific notation with small numbers Standard form

+ INFO

To be done
50 Changing scientific notation to numerals Standard form

+ INFO

To be done
51 Number sets and their members Sets

+ INFO

To be done
52 Properties of real numbers using addition and multiplic… Real numbers

+ INFO

To be done
53 Introducing surds Surds

+ INFO

To be done
54 Some rules for the operations with surds Surds

+ INFO

To be done
55 Simplifying surds Surds

+ INFO

To be done
56 Creating entire surds Surds

+ INFO

To be done
57 Adding and subtracting like surds Surds

+ INFO

To be done
58 Expanding surds Surds

+ INFO

To be done
59 Conjugate binomials with surds Surds

+ INFO

To be done
60 Rationalising the denominator Surds

+ INFO

To be done
61 Rationalising binomial denominators Surds

+ INFO

To be done
62 Compare and convert formal units of measurement Problem solving

+ INFO

To be done
63 Estimate, measure and compare the capacity of container… Capacity

+ INFO

To be done
64 Areas of rectangles and parallelograms Problem solving

+ INFO

To be done
65 Finding the area of a triangle and other composite shap… Problem solving

+ INFO

To be done
66 Area of a trapezium. Problem solving

+ INFO

To be done
67 Area of a rhombus. Problem solving

+ INFO

To be done
68 Area of a circle. Problem solving

+ INFO

To be done
69 Area of regular polygons and composite figures. Problem solving

+ INFO

To be done
70 Surface area of a cube/rectangular prism. Surface area

+ INFO

To be done
71 Surface area of a triangular/trapezoidal prism. Surface area

+ INFO

To be done
72 Surface area of a cylinder and sphere. Surface area

+ INFO

To be done
73 Surface area of pyramids Surface area

+ INFO

To be done
74 Surface area of cones Surface area

+ INFO

To be done
75 Surface area of composite solids Surface area

+ INFO

To be done
76 Introducing the formula for volume. Volume

+ INFO

To be done
77 Using the cubic metre to measure volume. Volume

+ INFO

To be done
78 Solving Problems about Volume – Part 1. Volume

+ INFO

To be done
79 Solving Problems about Volume – Part 2. Volume

+ INFO

To be done
80 Finding the volume of prisms Volume

+ INFO

To be done
81 Volume of a cylinder and sphere. Volume

+ INFO

To be done
82 Volume of pyramids and cones. Volume

+ INFO

To be done
83 Composite solids. Volume

+ INFO

To be done
84 Problems with length. Problem solving

+ INFO

To be done
85 Problems with mass. Problem solving

+ INFO

To be done
86 Problems with area. Problem solving

+ INFO

To be done
87 Problems with volume/capacity. Problem solving

+ INFO

To be done
88 Using the prefix to determine polygons Triangles

+ INFO

To be done
89 Recognise and name prisms according to spatial properti… 3D shapes

+ INFO

To be done
90 Recognise and name pyramids according to spatial proper… 3D shapes

+ INFO

To be done
91 Recognise nets for prisms, pyramids, cubes and cones 3D shapes

+ INFO

To be done
92 Viewing 3-D shapes. 3D shapes

+ INFO

To be done
93 Constructing models. 3D shapes

+ INFO

To be done
94 Adjacent angles Angles

+ INFO

To be done
95 Complementary and supplementary angles Angles

+ INFO

To be done
96 Vertically opposite angles Angles

+ INFO

To be done
97 Angles at a Point. Angles

+ INFO

To be done
98 Parallel Lines. Angles

+ INFO

To be done
99 Additional questions involving parallel lines Angles

+ INFO

To be done
100 Angle sum of a triangle Angles

+ INFO

To be done
101 Exterior angle theorem Angles

+ INFO

To be done
102 To determine angle labelling rules, naming angles accor… Angles

+ INFO

To be done
103 More difficult exercises involving parallel lines Angles

+ INFO

To be done
104 Further difficult exercises involving formal reasoning Series and sequences

+ INFO

To be done
105 Angles of regular polygons Angles

+ INFO

To be done
106 Complementary angle results. Angles

+ INFO

To be done
107 Bearings – the compass. Angles

+ INFO

To be done
108 Theorem – Equal arcs on circles of equal radii subtend … Angles

+ INFO

To be done
109 Theorem – The perpendicular from the centre of a circle… Angles

+ INFO

To be done
110 Theorem – Equal chords in equal circles are equidistant… Angles

+ INFO

To be done
111 Theorem – The angle at the centre of a circle is double… Angles

+ INFO

To be done
112 Theorem – Angles in the same segment of a circle are eq… Angles

+ INFO

To be done
113 Theorem – The angle of a semi-circle is a right angle. Angles

+ INFO

To be done
114 Theorem – The opposite angles of a cyclic quadrilateral… Angles

+ INFO

To be done
115 Theorem – The exterior angle at a vertex of a cyclic qu… Angles

+ INFO

To be done
116 Theorem – The tangent to a circle is perpendicular to t… Angles

+ INFO

To be done
117 Theorem – Tangents to a circle from an external point a… Angles

+ INFO

To be done
118 Theorem – The angle between a tangent and a chord throu… Angles

+ INFO

To be done
119 Theorem – The products of the intercepts of two interse… Angles

+ INFO

To be done
120 Theorem – The square of the length of the tangent from … Angles

+ INFO

To be done
121 Theorem – If the opposite angles in a quadrilateral are… Angles

+ INFO

To be done
122 Theorem – If an interval subtends equal angles at two p… Angles

+ INFO

To be done
123 Theorem – When circles touch, the line of the centres p… Angles

+ INFO

To be done
124 Theorem – Any three non-collinear points lie on a uniqu… Angles

+ INFO

To be done
125 Geometric constructions Construction

+ INFO

To be done
126 To identify collinear points, coplanar lines and points… Construction

+ INFO

To be done
127 Angle bisector construction and its properties (Stage 2… Construction

+ INFO

To be done
128 Circumcentre and incentre (Stage 2) Construction

+ INFO

To be done
129 Orthocentre and centroids (Stage 2) Construction

+ INFO

To be done
130 Constructions and loci – single condition Construction

+ INFO

To be done
131 Constructions and loci – multiple conditions Construction

+ INFO

To be done
132 Spatial properties of quadrilaterals Triangles

+ INFO

To be done
133 Similar triangles Similar shapes

+ INFO

To be done
134 Using similar triangles to calculate lengths Similar shapes

+ INFO

To be done
135 Special triangles Similar shapes

+ INFO

To be done
136 Use grids to enlarge/reduce 2D shapes Transformations

+ INFO

To be done
137 Special transformations – reflections, rotations and en… Transformations

+ INFO

To be done
138 Transformations – reflections Transformations

+ INFO

To be done
139 Geometry transformations without matrices: reflection (… Transformations

+ INFO

To be done
140 Geometry transformations without matrices: translation … Transformations

+ INFO

To be done
141 Geometry transformations without matrices: rotation (St… Transformations

+ INFO

To be done
142 Geometry transformations without matrices: dilation or … Transformations

+ INFO

To be done
143 The definition and concept of combined transformations … Transformations

+ INFO

To be done
144 Recognise and name triangles Triangles

+ INFO

To be done
145 Midsegments of Triangles Quadrilaterals

+ INFO

To be done
146 Congruent triangles, Test 1 and 2 Triangles

+ INFO

To be done
147 Congruent triangles, Test 3 and 4 Triangles

+ INFO

To be done
148 Proofs and congruent triangles. Triangles

+ INFO

To be done
149 Examples involving overlapping triangles Triangles

+ INFO

To be done
150 Find the hypotenuse Pythagoras

+ INFO

To be done
151 Pythagorean triples Pythagoras

+ INFO

To be done
152 Find the hypotenuse Part 2 Pythagoras

+ INFO

To be done
153 Calculating a leg of a right-angled triangle Pythagoras

+ INFO

To be done
154 Proofs of Pythagoras theorem Pythagoras

+ INFO

To be done
155 Graphing the trigonometric ratios – I Sine curve. Trigonometry

+ INFO

To be done
156 Graphing the trigonometric ratios – II Cosine curve. Trigonometry

+ INFO

To be done
157 Graphing the trigonometric ratios – III Tangent curve. Trigonometry

+ INFO

To be done
158 Graphing the trigonometric ratios – IV Reciprocal ratio… Trigonometry

+ INFO

To be done
159 Trigonometric ratios. Trigonometry

+ INFO

To be done
160 Using the calculator. Trigonometry

+ INFO

To be done
161 Using the trigonometric ratios to find unknown length. … Trigonometry

+ INFO

To be done
162 Using the trigonometric ratios to find unknown length. … Trigonometry

+ INFO

To be done
163 Using the trigonometric ratios to find unknown length. … Trigonometry

+ INFO

To be done
164 Unknown in the denominator. [Case 4]. Trigonometry

+ INFO

To be done
165 Angles of elevation and depression. Trigonometry

+ INFO

To be done
166 Trigonometric ratios in practical situations. Trigonometry

+ INFO

To be done
167 Using the calculator to find an angle given a trigonome… Trigonometry

+ INFO

To be done
168 Using the trigonometric ratios to find an angle in a ri… Trigonometry

+ INFO

To be done
169 Trigonometric ratios of 30., 45. and 60. – exact ratios… Trigonometry

+ INFO

To be done
170 The cosine rule to find an unknown side. [Case 1 SAS]. Trigonometry

+ INFO

To be done
171 The cosine rule to find an unknown angle. [Case 2 SSS]. Trigonometry

+ INFO

To be done
172 The sine rule to find an unknown side. Case 1. Trigonometry

+ INFO

To be done
173 The sine rule to find an unknown angle. Case 2. Trigonometry

+ INFO

To be done
174 The area formula Trigonometry

+ INFO

To be done
175 Reciprocal ratios. Trigonometry

+ INFO

To be done
176 Angles of any magnitude Trigonometry

+ INFO

To be done
177 Trigonometric ratios of 0°, 90°, 180°, 270° and 360° Trigonometry

+ INFO

To be done
178 Distance formula. Coordinate geometry

+ INFO

To be done
179 Mid-point formula Coordinate geometry

+ INFO

To be done
180 Gradient Coordinate geometry

+ INFO

To be done
181 Gradient formula. Coordinate geometry

+ INFO

To be done
182 The straight line. Coordinate geometry

+ INFO

To be done
183 Lines through the origin. Coordinate geometry

+ INFO

To be done
184 General form of a line and the x and y Intercepts. Coordinate geometry

+ INFO

To be done
185 General sequences. Series and sequences

+ INFO

To be done
186 Finding Tn given Sn. Series and sequences

+ INFO

To be done
187 Algebraic expressions. Simplifying

+ INFO

To be done
188 Simplifying Algebraic expressions: combining addition a… Simplifying

+ INFO

To be done
189 Simplifying algebraic expressions: multiplication Simplifying

+ INFO

To be done
190 Simplifying algebraic expressions: division Simplifying

+ INFO

To be done
191 Expanding algebraic expressions: multiplication Simplifying

+ INFO

To be done
192 Expanding algebraic expressions: negative multiplier Simplifying

+ INFO

To be done
193 Expanding and simplifying algebraic expressions Simplifying

+ INFO

To be done
194 Simplifying algebraic fractions using the index laws. Simplifying

+ INFO

To be done
195 Algebraic fractions resulting in negative indices. Simplifying

+ INFO

To be done
196 Cancelling binomial factors in algebraic fractions. Simplifying

+ INFO

To be done
197 Products in simplification of algebraic expressions Simplifying

+ INFO

To be done
198 Algebraic Expressions – Larger expansions. Simplifying

+ INFO

To be done
199 Simplifying algebraic fractions. Simplifying

+ INFO

To be done
200 Simplifying absolute values Inequalities

+ INFO

To be done
201 Quadratic polynomials of the form y = ax. + bx + c. Graphs

+ INFO

To be done
202 Graphing perfect squares: y=(a-x) squared Graphs

+ INFO

To be done
203 Solve by graphing Graphs

+ INFO

To be done
204 Graphing cubic curves Graphs

+ INFO

To be done
205 Solving equations containing addition and subtraction Equations

+ INFO

To be done
206 Solving equations containing multiplication and divisio… Equations

+ INFO

To be done
207 Solving two step equations Equations

+ INFO

To be done
208 Solving equations containing binomial expressions Equations

+ INFO

To be done
209 Equations involving grouping symbols. Equations

+ INFO

To be done
210 Equations involving fractions. Equations

+ INFO

To be done
211 Solving for the variable Inequalities

+ INFO

To be done
212 Simultaneous equations Equations

+ INFO

To be done
213 Elimination method Equations

+ INFO

To be done
214 Elimination method part 2 Equations

+ INFO

To be done
215 Applications of simultaneous equations Equations

+ INFO

To be done
216 Expansions leading to the difference of two squares Factorising

+ INFO

To be done
217 Common factor and the difference of two squares Factorising

+ INFO

To be done
218 Factorising quadratic trinomials [monic] – Case 2. Factorising

+ INFO

To be done
219 Factorising quadratic trinomials [monic] – Case 3. Factorising

+ INFO

To be done
220 Factorising quadratic trinomials [monic] – Case 4. Factorising

+ INFO

To be done
221 Factorisation of non-monic quadratic trinomials Factorising

+ INFO

To be done
222 Factorisation of non-monic quadratic trinomials – moon … Factorising

+ INFO

To be done
223 Substitution into algebraic expressions. Simplifying

+ INFO

To be done
224 Equations resulting from substitution into formulae. Formulae

+ INFO

To be done
225 Changing the subject of the formula. Formulae

+ INFO

To be done
226 Simplifying easy algebraic fractions. Factorising

+ INFO

To be done
227 Factorisation of algebraic fractions including binomial… Factorising

+ INFO

To be done
228 Solving Inequalities. Inequalities

+ INFO

To be done
229 Solving and graphing inequalities Inequalities

+ INFO

To be done
230 Inequalities on the number plane. Inequalities

+ INFO

To be done
231 Difference of two squares Roots

+ INFO

To be done
232 Quadratic trinomials [monic] – Case 1. Roots

+ INFO

To be done
233 Introduction to quadratic equations. Roots

+ INFO

To be done
234 Quadratic equations with factorisation. Roots

+ INFO

To be done
235 Solving quadratic equations. Roots

+ INFO

To be done
236 The quadratic formula Roots

+ INFO

To be done
237 Problem solving with quadratic equations Roots

+ INFO

To be done
238 Solving simultaneous quadratic equations graphically Roots

+ INFO

To be done
239 Vectors Matrices

+ INFO

To be done
240 The range. Scatter diagrams

+ INFO

To be done
241 The mode Probability

+ INFO

To be done
242 The mean Probability

+ INFO

To be done
243 The median Probability

+ INFO

To be done
244 Calculating the median from a frequency distribution Probability

+ INFO

To be done
245 Calculating mean, mode and median from grouped data Averages

+ INFO

To be done
246 Range as a measure of dispersion Averages

+ INFO

To be done
247 Measures of spread Averages

+ INFO

To be done
248 Measures of spread: the interquartile range Averages

+ INFO

To be done
249 Pie and bar graphs. Pie charts

+ INFO

To be done
250 Scatter Diagrams Scatter diagrams

+ INFO

To be done
251 Stem and Leaf Plots along with Box and Whisker Plots Scatter diagrams

+ INFO

To be done
252 Cumulative frequency Probability

+ INFO

To be done
253 Frequency histograms and polygons Scatter diagrams

+ INFO

To be done
254 Line graphs. Pie charts

+ INFO

To be done
255 Frequency distribution table Scatter diagrams

+ INFO

To be done
256 Relative frequency Scatter diagrams

+ INFO

To be done
257 Probability of Simple Events Probability

+ INFO

To be done
258 Rolling a pair of dice Probability

+ INFO

To be done
259 Experimental probability Probability

+ INFO

To be done
260 Tree diagrams – not depending on previous outcomes Probability

+ INFO

To be done
261 Tree diagrams – depending on previous outcomes Probability

+ INFO

To be done
262 Exam – KS4 – Maths – Higher Review of all course work

+ INFO

To be done