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L O A D I N G ### KS 3

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### Introduction to Algebra

1
Introduction to Basic Algebra Part 1

2
Introduction to Basic Algebra Part 2

### Simplifying Expressions

3
Simplifying Expressions Part 1

4
Simplifying Expressions Part 2

5
Simplifying Expressions Part 3

### Simplifying Powers

6
Multiplying Powers

7
Multiplying Powers with numbers in front of the letters

8
Multiplying negative powers

9
Dividing powers

10
Dividing powers with negative numbers

11
Dividing powers with numbers in front of the letters

12
Simplifying Powers inside brackets, raised to another power

### Multiplying Out Brackets

13
Multiplying out brackets

14
Multiplying out brackets with negative numbers or letters

15
Expand and Simplify Common Mistakes (Higher Only)

16
Expand and Simplify Common Mistakes (Higher Only) - Exam Question

### Multiplying Out Double and Triple Brackets

17
Multiplying out double brackets (Higher Only)

18
Multiplying out double brackets with negative numbers or letters (Higher Only)

19
Expand and Simplify brackets that are squared

20
Expand and Simplify brackets that are squared Exam Question

21
Expanding triple brackets

### Factorising into Single Brackets

22
Factorising expressions into single brackets part 1

23
Factorising expressions into single brackets part 2

24
Factorising expressions with mixed letters in the terms

### Substituting Numbers into Formula

25
Substituting numbers into formula, part 1

26
Substituting numbers into formula, part 2

27
Substituting numbers into formula, part 3

### Rearranging Formula

28
Rearranging formula part 1

29
Rearranging formula part 2

30
Rearranging formula Higher only

31
Rearranging formula when the subject is on the bottom of a divide line (Higher Only)

### Rearranging Formula when the Subject Appears Twice (Higher Only)

32
Rearranging Formula when the Subject Appears Twice Part 1

33
Rearranging Formula when the Subject Appears Twice Part 2

34
Rearranging Formula when the Subject Appears Twice Part 3

35
Rearranging Formula when the Subject Appears Twice Part 4

36
Rearranging Formula when the Subject Appears Twice Exam Question

### Sequences

37
Introduction to sequences

38
Finding the Terms of a Sequence when youre given the $n^{th}$ term rule - Part 1

39
Finding the Terms of a Sequence when youre given the $n^{th}$ term rule - Part 2

40
Finding the $n$${}^{th}$${}^{ }$term

41
Finding a number in the sequence using the ${n}^{th}$ term rule

42
Finding the Next Term in a Sequence that has a Changing Difference

43
Triangle numbers

44
Finding triangle numbers using the $n^{th}$ term rule

### Finding the nth Term of a Quadratic Sequence (Higher Only)

45
Finding the $n^{th}$ Term Rule of simple Quadratic sequences - Part 1

46
Finding the $n^{th}$ Term Rule of simple Quadratic sequences - Part 2

47
Finding the $n^{th}$ Term Rule of simple Quadratic sequences - Exam Tip

48
Finding the n$^{th}$ term of a quadratic sequence Part 1

49
Finding the $n^{th}$ term of a quadratic sequence Part 2

### Solving Equations

50
Solving equations, part 1

51
Solving equations, part 2

52
Solving equations, part 3

53
Solving equations with brackets

54
Solving equations with a divide or fraction

55
Solving equations with $x$'s on both sides

### Solving Equations Using Number Machines

56
Solving equations, using number machines

57
Solving equations with brackets, using number machines

58
Solving equations with a divide in, using a number machine

59
Solving equations with $x$'s on both sides using number machines

### Forming and Solving Linear Equations

60
Forming and Solving Linear Equations Part 1

61
Forming and Solving Linear Equations Part 2

62
Forming and Solving Linear Equations Exam Question

### Inequalities

63
Introduction to inequalities

64
Writing a list of integers from inequalities

65
Showing inequalities on number lines part 1

66
Showing inequalities on number lines, part 2

67
Showing inequalities on number lines, part 3

68
Writing inequalities from number lines

### Solving Inequalities

69
Solving inequalities, part 1

70
Solving inequalities, part 2

71
Solving inequalities with brackets

72
Solving inequalities with a divide or fraction

73
Solving inequalities with $x$'s on both sides

74
Solving 2 inequalities at the same time

### Direct Proportion

75
Direct Proportion m is proportional to p

76
Direct Proportion y is proportional to $x^{2}$

77
Using Formula Triangles in Direct Proportion Questions

### Inverse Proportion

78
Inverse Proportion y is Inversely Proportional to x

79
Inverse Proportion y is Inversely Proportional to $x^{2}$

80
Using Formula Triangles in Inverse Proportion Questions

### Straight Line Graphs

81
Introduction to straight line graphs

82
Exam tip -- completing a table of values

83
Rearranging equations in the form of $y=mx + c$

84
Plotting straight line graphs from a table of values

85
Plotting straight line graphs of $x =$ number and $y =$ number

86
Finding the gradient of a line

87
Finding the $y$ intercept

88
Finding the equation of a straight line graph

89
Finding the equation of a line passing through a coordinate (Higher Only)

90
Finding equations of parallel lines (Higher Only)

91
Finding equations of parallel lines that pass through a point (Higher Only)

92
Equations of parallel lines passing through a coordinate (Higher Only)

93
Finding equations of perpendicular lines (Higher Only)

94
Finding equations of perpendicular lines passing through a point (Higher Only)

95
Equations of perpendicular lines passing through a coordinate (Higher Only)

### Finding Gradients and Equations of Lines between 2 Points

96
Introduction to Finding the Gradient of a Line Joining 2 Points

97
Finding the Gradient of a Line Joining 2 Points

98
Finding the Gradient of a Line Joining 2 Points Exam Tip

99
Finding the Equation of a Line Joining 2 Points

### Formula 1 Distance/time, Velocity/time Graphs

100
Calculating average speed from a D/t graph part 1

101
Calculating average speed from a D/t graph part 2

102
Speed/distance/time questions - Common mistakes

103
Calculating acceleration from a V/t graph part 1

104
Calculating acceleration from a V/t graph part 2

105
Calculating the deceleration from a V/t graph

106
Calculating total distance travelled from a V/t graph

107
Estimating distance travelled under a curved V/t graph

### Graphs of Inequalities (Higher Only)

108
Graphs of inequalities and shading regions, part 1

109
Graphs of inequalities and shading regions, part 2

110
Graphs of inequalities and shading regions, part 3

111
Graphs of inequalities and shading regions, part 4

112
Factorising quadratics with positive terms only

113
Factorising quadratics with a negative number term and/or negative $x$ term

114
Factorising quadratics with a negative $x$ term and positive number term

115
Factorising quadratics ${-}$ the difference of 2 squares, $x^{2} {-}$ 16

116
Factorising quadratics with a number in front of the $x^{2}$ term part 1

117
Factorising quadratics with a number in front of the $x^{2}$ term part 2

118
Factorising quadratics with a number in front of the $x^{2}$ term part 3

### Completing the Square (Higher Only)

119
Completing the Square Part 1a

120
Completing the Square Part 1b

121
Completing the Square Exam Question 1

122
Completing the Square Exam Question 2

123
When the $x^{2}$ term has a number in front Part 1

124
When the $x^{2}$ term has a number in front Part 2

125
Finding the Vertex when Completing the Square

### Solving Quadratic Equations (Higher Only)

126
Solving quadratic equations by factorising part 1

127
Solving quadratic equations by factorising part 2

128

129

130
Solving Quadratics by Completing the Square Part 1

131
Solving Quadratics by Completing the Square Part 2

### Forming and Solving Quadratic Equations (Higher only)

132
Forming and Solving Quadratic Equations Part 1

133
Forming and Solving Quadratic Equations Part 2

134
Forming and Solving Quadratic Equations Exam Question

135
Quadratic graphs, making a table of values

136
Plotting quadratic graphs and finding the minimum value

### Further Graphs

137
The 4 Types of Further Graphs

138
Introduction to Cubic Graphs

139
Plotting Cubic Graphs

140
Introduction to the Graph of the Reciprocal Function

141
Plotting the Reciprocal Function

142
Plotting Circle Graphs

143
Plotting Circle Graphs Exam Question

144
Plotting Exponential Graphs

### Solving Equations Using Graphs (Higher Only)

145
Solving Equations using Graphs Part 1

146
Solving Equations using Graphs Part 2

147
Solving Equations using Graphs Part 3

148
Solving Equations using Graphs Part 4

### Simultaneous Equations

149
Solving simultaneous equations graphically

150
Solving simultaneous equations, part 1

151
Solving simultaneous equations, part 2

152
Solving simultaneous equations, part 3

153
Solving simultaneous equations, part 4

154
Solving simultaneous equations, part 5

155
Solving quadratic simultaneous equations, part 1

156
Solving quadratic simultaneous equations, part 2

157
Solving simultaneous equations, with a circle equation

158
Simultaneous equations, exam tip

### Simplifying Algebraic Fractions (Higher Only)

159
Introduction to Simplifying Algebraic Fractions

160
Simplifying Algebraic Fractions Part 1

161
Simplifying Algebraic Fractions Part 2

162
Simplifying Algebraic Fractions Part 3

163
Multiplying Algebraic Fractions and Simplifying Part 1

164
Multiplying Algebraic Fractions and Simplifying Part 2

165
Dividing Algebraic Fractions and Simplifying

166
Adding Algebraic Fractions and Simplifying Part 1

167
Adding Algebraic Fractions and Simplifying Part 2

168
Adding Algebraic Fractions and Simplifying Exam Question

169
Subtracting Algebraic Fractions and Simplifying

### Solving Equations Containing Algebraic Fractions (Higher Only)

170
Solving Linear Equations Containing Algebraic Fractions Part 1

171
Solving Linear Equations Containing Algebraic Fractions Part 2

172
Forming and Solving Quadratic Equations from Algebraic Fractions

173
Forming and Solving Quadratic Equations from Algebraic Fractions Exam Question

### Transformations of Graphs (Higher Only)

174
Transforming Graphs Up or Down

175
Transforming Graphs Up and Down using f(x)notation

176
Transforming Graphs Up or Down - Exam Question

177
Transforming Graphs Up and Down using f(x)notation - Exam Question

178
Transforming Graphs Left or Right

179
Transforming Graphs Left or Right using f(x)notation

180
Transforming Graphs Left - Exam Question

181
Transforming Graphs Sideways using f(x)notation - Exam Question

182
Stretching Graphs in the x direction

183
Stretching Graphs in x direction using f(x)notation

184
Stretching Graphs in x direction - Exam Question

185
Stretching Graphs in the y direction

186
Stretching Graphs in y direction using f(x)notation

187
Stretching Graphs in y direction - Exam Question

188
Reflecting Graphs in the x axis

189
Reflecting graphs in the x axis using f(x)notation

190
Reflecting graphs in the y axis

191
Reflecting graphs in the y axis using f(x)notation

192
Transforming Graphs using f(x)notation - Exam Question

### Transformations of Trigonometric Graphs (Higher Only)

193
Transforming Trigonometric Graphs Up and Down

194
Transforming Trigonometric Graphs Up and Down using f(x)notation

195
Transforming Trigonometric Graphs Sideways

196
Transforming Trigonometric Graphs Sideways using f(x)notation

197
Stretching Trigonometric Graphs in the x direction

198
Stretching Trigonometric Graphs in the x direction using f(x)notation

199
Stretching Trigonometric Graphs in the y direction

200
Stretching Trigonometric Graphs in the y direction using f(x)notation

201
Reflecting Trigonometric Graphs in the x axis

202
Reflecting Trigonometric Graphs in the x axis using f(x)notation

203
Transforming Trigonometric Graphs - Exam Tip

204
Transforming Trigonometric Graphs - Exam Question 1

205
Transforming Trigonometric Graphs - Exam Question 2

### Trigonometric Graphs and Exact Values

206
The Graph of Cos x

207
The Graph of Sin x

208
Graph of Tan x

209
Exact values of sin and cos - Part 1

210
Exact values of sin and cos - Part 2

211
Exact values of sin and cos - Part 3

212
Exact values of sin, cos and tan - Exam Trick

213
Finding the exact values of tan

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