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IGCSE Math (0580) Course
IGCSE Math (0580) Course
Section 1 : Numbers
lecture 1
Define types of numbers
9:20
lecture 2
Factors and Multiples
12:34
lecture 3
Prime Factors
4:2
lecture 4
Highest Common Factor and Lowest Common Multipl
6:47
lecture 5
Prime and Composite numbers
7:32
lecture 6
Squares and Square Roots
Preview
lecture 7
Cubes and Cube Roots
5:18
lecture 8
Using a Number Line
1:44
lecture 9
Adding and Subtracting Integers
8:25
lecture 10
Word problems - Integers
8:25
lecture 11
Rounding Whole Numbers
7:56
lecture 12
Rounding Decimals
7:25
lecture 13
Significant figures
9:20
lecture 14
Estimate answers to calculations
15:32
lecture 15
Upper and Lower bounds
16:47
lecture 16
Calculations with upper and lower bounds
15:47
lecture 17
Different mathematical symbols
8:37
lecture 18
Place values and comparing decimals
13:36
lecture 19
Comparing fractions
5:25
lecture 20
Using a scientific calculator
5:28
lecture 21
Types of fractions
3:55
lecture 22
Converting mixed to improper fractions
1:44
lecture 23
Converting improper to mixed fractions
2:50
lecture 24
Converting decimals to fractions
2:21
lecture 25
Converting fractions to percentages
3:47
lecture 26
Converting percentages to fractions
4:21
lecture 27
Converting recurring decimals to fractions
10:2
lecture 28
Multiplication and Division
18:5
lecture 29
Long division
13:24
lecture 30
Order of operations
8:38
lecture 31
Addition and subtraction of fractions
9:8
lecture 32
Addition and subtraction of mixed fractions
7:49
lecture 33
Simplifying fractions
9:18
lecture 34
Multiplication and division of fractions
3:49
lecture 35
Multiplication and division of mixed fractions
5:57
lecture 36
Converting fractions to decimals
5:31
lecture 37
Percentage of a quantity
4:58
lecture 38
Express one quantity as a percentage of anothe
4:41
lecture 39
Percentage increases and decreases
10:50
lecture 40
Reverse percentages
7:2
lecture 41
Dividing a quantity in a given ratio
6:38
lecture 42
Proportion
6:37
lecture 43
Word problems - Ratios
4:44
lecture 44
Increase and decrease a quantity by a given ra
5:41
lecture 45
Introduction to indices
8:25
lecture 46
First index law
5:16
lecture 47
Second Index law
6:9
lecture 48
Third Index law
5:33
lecture 49
Fourth index law
7:51
lecture 50
Fifth index law
5:35
lecture 51
Sixth Index law
4:31
lecture 52
Seventh Index law (negative indices)
9:52
lecture 53
Fractions and Powers
8:58
lecture 54
Exponential functions
12:25
lecture 55
Standard form (positive and negative indices)
19:29
lecture 56
Fractional indices
15:9
lecture 57
Currency conversions
15:23
lecture 58
Earnings
13:12
lecture 59
Profit and Loss
8:58
lecture 60
Percentage profit and loss
7:39
lecture 61
24-hour and 12-hour clock
20:19
lecture 62
Simple Interest
14:32
lecture 63
Compound interest
18:10
lecture 64
Defining sets and subsets
14:14
lecture 65
Set notation and Venn diagrams
11:54
lecture 66
Word problems - Venn diagrams
13:11
Section 2 : Algebra
lecture 67
Using Variables
7:48
lecture 68
Transform simple formulae
10:3
lecture 69
Substituting positive and negative numbers
6:7
lecture 70
Simplifying expressions
8:39
lecture 71
Transforming complex formulae
7:57
lecture 72
Expanding brackets
13:6
lecture 73
Factorising
11:11
lecture 74
Expanding a pair of brackets
11:50
lecture 75
Difference of two squares
12:23
lecture 76
Factorisation by grouping
6:59
lecture 77
Factorising quadratic equations Part 1
18:4
lecture 78
Factorising quadratic equations Part 2
11:24
lecture 79
Simplifying algebraic fractions
9:52
lecture 80
Adding and subtracting algebraic fractions
11:45
lecture 81
Simplifying complex algebraic fractions
15:20
lecture 82
Solving one-step linear equations
8:15
lecture 83
Solving two-step linear equations
18:50
lecture 84
Solving equations with brackets
15:24
lecture 85
Solving equations with the unknown on both sid
15:38
lecture 86
Solve quadratic equations by factorisation
14:11
lecture 87
Quadratic formula
9:39
lecture 88
Completing the square
19:40
lecture 89
Arithmetic sequences
15:27
lecture 90
Sequences with quadratic rules
17:52
lecture 91
Sequences with cubic rules
16:8
lecture 92
Geometric sequences
10:9
lecture 93
Direct variation
6:2
lecture 94
Inverse variation
6:3
lecture 95
Conversion graphs
10:4
lecture 96
Speed, distance and time
8:48
lecture 97
Travel graphs
11:5
lecture 98
Speed-time graphs, acceleration and decelerat
16:4
lecture 99
Area under a speed-time graph
14:58
lecture 100
Introduction to quadratic functions
18:57
lecture 101
Graphical solution of a quadratic function
7:3
lecture 102
The reciprocal function (hyperbola)
15:46
lecture 103
Exponential functions
8:37
lecture 104
Gradients of curves
12:4
lecture 105
Functions
8:57
lecture 106
Inverse functions
9:20
lecture 107
Composite functions
9:59
Section 3 : Geometry
lecture 108
Types of angles
7:33
lecture 109
Types of triangles
5:27
lecture 110
Congruent and Similar triangles
11:46
lecture 111
Circles
5:38
lecture 112
Types of quadrilaterals
8:36
lecture 113
Polygons
3:45
lecture 114
Nets
11:57
lecture 115
Constructing triangles Part 1
2:4
lecture 116
Constructing triangles Part 2
6:23
lecture 117
Constructing simple geometric shapes Part 1
1:46
lecture 118
Constructing simple geometric shapes Part 2
9:44
lecture 119
Constructing perpendicular bisectors Part 1
2:56
lecture 120
Constructing perpendicular bisectors Part 2
7:50
lecture 121
Scale drawings
10:54
lecture 122
Calculate lengths of similar figures
6:14
lecture 123
Area and Volume of similar shapes
9:45
lecture 124
Symmetry and 2D shapes
16:21
lecture 125
Symmetry and 3D shapes
16:21
lecture 126
Circle properties
21:29
lecture 127
Angles at a point and on a line
5:10
lecture 128
Angles formed within parallel lines
15:46
lecture 129
Angles in a triangle
12:37
lecture 130
Angles in a quadrilateral
11:11
lecture 131
Sum of the interior angles of a polygon
10:13
lecture 132
Sum of the exterior angles of a polygon
5:57
lecture 133
Angles in a semi-circle
10:5
lecture 134
Angle between tangent and radius of a circle
6:40
lecture 135
Angle properties of irregular polygons
7:30
lecture 136
Angle at the centre of a circle
10:8
lecture 137
Angle in the same segment
3:48
lecture 138
Angles in opposite segments
7:27
lecture 139
Loci Part 1
6:17
lecture 140
Loci Part 2
9:17
Section 4 : Mensuration
lecture 141
Basic unit conversions
14:10
lecture 142
Area and volume conversions
15:56
lecture 143
Perimeter of polygons
4:48
lecture 144
Area of polygons
14:50
lecture 145
Perimeter and area of Parallelograms
3:28
lecture 146
Circumference of a circle
6:57
lecture 147
Area of a circle
Preview
lecture 148
Length of an arc
6:46
lecture 149
Area of a Sector
7:58
lecture 150
Surface area and volume of a Cuboid
11:14
lecture 151
Surface area and volume of a Cylinder
9:5
lecture 152
Surface area and volume of a Sphere
16:54
lecture 153
Surface area and volume of a Pyramid
16:3
lecture 154
Surface area and volume of a Cone
13:21
lecture 155
Area of composite shapes
13:2
lecture 156
Volume of compound shapes
8:46
Section 5 : Co-ordinate Geometry
lecture 157
Cartesian plane in two-dimensions
10:26
lecture 158
Plotting linear graphs
18:47
lecture 159
Finding gradients from graphs
7:1
lecture 160
General equation of a straight line
18:8
lecture 161
Determining linear rules
18:15
lecture 162
Sketching linear graphs
19:48
lecture 163
Midpoints and distance between two points
16:50
lecture 164
Parallel and Perpendicular lines
16:13
lecture 165
Graphing solution of simultaneous linear equ
19:28
lecture 166
Solving simultaneous equations using substitu
Preview
lecture 167
Solving simultaneous equations using eliminat
17:44
lecture 168
Problems solving using simultaneous equations
10:58
lecture 169
Solving linear inequations
14:13
lecture 170
Sketching linear inequations
12:29
lecture 171
Solving simultaneous linear inequations
15:35
Section 6 : Trigonometry
lecture 172
Bearings
14:35
lecture 173
Introduction to Pythagoras Theorem
2:13
lecture 174
Finding the Hypotenuse using Pythagoras Theor
7:10
lecture 175
Finding the other sides using Pythagoras Theo
6:9
lecture 176
Introduction to SOH, CAH, TOA
8:59
lecture 177
Calculating unknown lengths
15:33
lecture 178
Calculating unknown angles
10:10
lecture 179
Angles of Elevation and Depression
13:43
lecture 180
Angles between 0 and 180
12:39
lecture 181
Sine rule
19:11
Lecture 182
Cosine rule
18:48
lecture 183
Area of triangle using Heron's formula
5:33
lecture 184
Pythagoras’ Theorem in 3-Dimensions Part 1
15:59
lecture 185
Pythagoras’ Theorem in 3-Dimensions Part 2
17:46
Section 7 : Matrices and transformations
lecture 186
Vector translations
15:26
lecture 187
Addition and subtraction of vectors
12:16
lecture 188
Multiplying a vector by a scalar
13:40
lecture 189
Magnitude of a vector
8:17
lecture 190
Position vectors
5:56
lecture 191
Vector Geometry
9:2
lecture 192
Introduction to matrices
5:22
lecture 193
Adding and Subtracting matrices
12:51
lecture 194
Multiplying matrices by a scalar quantity
4:10
lecture 195
Multiplying a matrix by another matrix
21:39
lecture 196
Identity matrix
4:45
lecture 197
Zero matrix
1:14
lecture 198
Determinant of a 2 x 2 matrix
5:38
lecture 199
Inverse of a 2 x 2 matrix
25:12
lecture 200
Reflection
24:47
lecture 201
Rotations around the origin
21:5
lecture 202
Rotation around other points
25:17
lecture 203
Translation
10:52
lecture 204
Enlargement
10:2
lecture 205
Negative enlargement
10:35
lecture 206
Combinations of transformations
Preview
lecture 207
Transformations and matrices
12:12
lecture 208
Transformations and inverse matrices
10:18
Section 8 : Probability and Statistics
lecture 209
Simple probability
7:50
lecture 210
Probability scale
5:36
lecture 211
Probability not = 1 - Probability
Preview
lecture 212
Using a two-way table
7:42
lecture 213
Tree diagrams
12:33
lecture 214
Calculating mean, median, mode and range
11:57
lecture 215
Calculate mean and modal class of grouped dat
8:18
lecture 216
Collecting data
11:47
lecture 217
Histograms
6:10
lecture 218
Scatter diagrams
9:43
lecture 219
Cumulative frequency
18:51
lecture 220
Bonus lecture
0:20
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Lectures
220
Video
38:38:38 Hours
Skill level
intermdiate
level
Languages
English
Includes
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