26 Understanding Algebra Fractional Indices and Non Unit Indices
Part 1 - Review of Number Concepts
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LESSON 1 SUMMARY - Review of Number Concepts
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(1) Different types of numbers (concepts) (25:28)
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(2) Different types of numbers (questions) (39:22)
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(3) Perfect, Palindomic, Narcissistic numbers (12:20)
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(4) Using symbols to link numbers (15:54)
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(5) Multiples (15:16)
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(6) Lowest commom multiple (10:06)
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(7) Factors (17:56)
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(8) Highest commom factor (21:40)
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(9) Prime numbers and composite numbers (11:18)
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(10) Twin prime numbers and Super prime numbers (10:16)
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(11) Prime factors (18:47)
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(12) HCF and LCM using prime factors (18:54)
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(13) Divisible test (26:41)
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(14) Power and Roots (49:51)
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(15) Directed numbers (21:43)
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(16) Order of operations (45:44)
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(17) Rounding numbers (17:57)
Part 2 - Understanding Algebra
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LESSON 2 SUMMARY - Understanding Algebra
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18 Understanding Algebra Lesson Adding and Subtracting Like Terms (38:35)
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19 Understanding Algebra Multiplying and Dividing in Expression (40:56)
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20 Understanding Algebra Index Notation and Product of Prime Factors (42:19)
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21 Understanding Algebra Working with Brackets (40:44)
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22 Understanding Algebra Expressing a Number as a Product of its Prime Factors (15:46)
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23 Understanding Algebra Multiplying and Dividing the Same Base by Different Indices (23:08)
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24 Understanding Algebra Raising a Power (20:03)
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25 Understanding Algebra Negative Indices (18:49)
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26 Understanding Algebra Fractional Indices and Non Unit Indices (46:11)
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27 Understanding Algebra Algebric Expression (63:45)
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28 Understanding Algebra Substitution in Algebra (41:55)
Part 3 - Making sense of Shapes
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LESSON 3 SUMMARY -Making sense of Shapes
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29 Geometric Terms (17:05)
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30 Types of Angles (9:33)
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31 Basic Angle Facts and Relationship (18:03)
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32 Measuring of Angles (36:56)
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33 Drawing of Angles (15:37)
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34 Angle Relationship to find Unknown Angles (68:43)
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35 Triangles (17:44)
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36 Unknown Angles of a Triangle Using Relationships (34:28)
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37 Quardrilaterals (18:00)
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38 Finding Unknown Angles of Quardrilaterals Using Relationships (42:37)
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39 Polygons (28:21)
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40 Construction of Triangles and circles (31:08)
Part 4 - Deconstructing Data
Part 5 - Fractions and Form
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LESSON 5 SUMMARY - Fractions and Form
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50 Introduction to Fractions (22:16)
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51 Proper, Improper and Mixed Fractions (18:43)
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52 Addition, Subtraction and Multipication, Division in Fractions (62:45)
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53 Egyptian Fractions (43:15)
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54 Fractions with Decimals (61:23)
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55 Percentages, Decimals and Fractions (60:35)
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56 Increase and Decrease in Percentage (35:09)
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57 Reverse Percentages (26:03)
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58 Standard form of a Number (64:38)
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59 Simplification and Standard forms (47:02)
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60 Estimations (28:47)
Part 6 - Equations and Formulae
Part 7 - Area and Volume Measurement
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LESSON 7 SUMMARY - Area and Volume Measurement
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65 Calculation of Perimeter (29:24)
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66 Calculation of Area of Simple Shapes (18:49)
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67 Calculation of Area of Complex Shapes (42:02)
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68 Unknown Length (19:01)
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69 Complex Problems with Shapes (54:20)
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70 Area and Circumference in Circles (29:17)
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71 Area of Shaded Regions (22:56)
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72 Applications of Shapes in Real-life (40:45)
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73- Area, Perimeter and Arc measurement (45:34)
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74 - Complex Shaded Regions (66:12)
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75 Volume and Surface Area of Prisms (25:43)
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76 Calculation of Volume and Surface Area of Prisms (34:52)
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77 Pyramids, Cones and Spheres (64:40)
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78 Net of Solids (40:03)
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79 Introduction of Area and Perimeter (36:22)
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80 Perimeter by Measurement (20:44)
Part 8 - Probability
Part 9 - Sequences, Terms & Sets
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LESSON 9 SUMMARY - Sequences, Terms & Sets
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86 Sequence and Term-to-Term Rule (26:04)
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87 Position-to-Term Rule: (14:23)
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88 Finding the nth Term (45:55)
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89 Questions about Position-to-Term rule (45:49)
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90 Sequences for Patterns (16:50)
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91 Rational Numbers and Recurring Decimals into fractions (54:30)
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92 Introduction to Sets (29:40)
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93 Descriptive and Tabular form of sets (18:26)
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94 Union and Intersection of Sets and Venn Diagram (39:52)
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95 Set Builder Notation (34:56)
Part 10 - Lines & Equations
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LESSON 10 SUMMARY - Lines & Equations
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96 Straight Line Equation and its Graph (58:18)
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97 Drawing a Straight Line with the help of its Equation (46:21)
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98 Equation of Horizontal ang Vertical Line and Gradient of a Line (54:51)
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99 Calculating the Equation of a Straight Line without Graph (34:03)
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100 Equation of a line from its Graph and Equation of a line Parallel to it (52:36)
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101 Parallel Lines and Perpendicular Lines (32:46)
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102 X-intercept and Y-intercept (22:51)
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103 Midpoint of a Straight Line Segment (48:06)
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104 Expanding and Simplification of Brackets (70:32)
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105 Factorization (52:24)
Part 11 - Pythagorean Theorem and Similar Solids & Shapes
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LESSON 11 SUMMARY - Pythagorean Theorem and Similar Solids & Shapes
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106 Pythagorean Theorem (52:33)
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107 Right-Angled Triangles (9:22)
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108 Distance Formula Derivation using Pythagorean Theorem (9:55)
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109 Similar Shapes (45:06)
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110 Unknown Lengths and Scale Factor in Similar Shapes (34:05)
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111 Area of Similar Shapes (43:44)
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112 Similar Solids (44:07)
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113 Congruent shapes (46:20)
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114 Congruent Triangles and Postulates (54:59)
Part 12 - Averages & Ranges
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LESSON 12 SUMMARY - Averages & Ranges
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115 Different Types of Average (18:06)
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116 Mode (12:15)
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117 Mean (64:04)
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118 Median (25:24)
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119 Range in Average (31:01)
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120 Average & Range from Grouped Continuous data and Stem & Leaf Diagrams (76:35)
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121 Understanding Multiple Ranges and Back-to-Back Stem & Leaf Diagram (60:41)
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122 Box and Whisker Plot (43:05)
Part 13 - Understanding Measurements
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PART 13 SUMMARY - Understanding Measurements
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123 Measurements and Units (39:44)
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124 Conversion of Units (47:22)
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125 Dealing with Units (48:12)
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126 Concept of Calculation of Time (60:17)
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127 Questions Using Calculation of Time (69:18)
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128 Time Table (41:03)
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129 Upper and Lower Bounds (48:30)
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130 Solving Upper and Lower Bounds (84:18)
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131 Conversion Graphs (39:24)
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132 Foreign Currency (22:27)
Part 14 - Equations & Inequalities
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LESSON 14 SUMMARY - Equations & Inequalities
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133 Simaltaneous Equations by Graphing Method (45:34)
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134 Simultaneous Equations by Elimination Method (39:51)
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135 Simultaneous Equations by Substitution Method (43:39)
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136 Linear Inequalities (61:31)
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137 Rules about Boundaries and Shading of Regions (46:54)
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138 Representation of Simultaneous Equations (48:57)
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139 Greatest & Least Values (37:44)
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140 Completing the Square (32:40)
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141 Quadratic Formula (41:40)
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142 Mid-Term Breaking (47:37)
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143 Factoring Quadratics with Non-Unit Coefficient (28:00)
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144 Simplification of Algebraic Fractions (74:13)
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145 Multiplication & Division of Algebraic Fractions (48:36)
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146 Addition & Subtraction of Algebraic Fractions (50:35)
Part 15 - Scale, Bearings & Using Trigonometry
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LESSON 15 SUMMARY - Scale, Bearings & Using Trigonometry
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147 Scale Drawing (20:54)
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149 Drawing a Scaled Diagram (24:17)
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150 Bearing (36:27)
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151 Right-Angled Triangle (15:28)
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152 Trigonometry (37:35)
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153 Calculations of Angles Using Trigonometric Ratios (58:49)
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154 Angles Between 0° and 180° (93:13)
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155 Sine Rule & Cosine Rule (44:55)
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156 Area of a Triangle (31:02)
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148Trigonometry in Three Dimension (30:33)
Part 16 - Intro to Bivariate Data
Part 17 - Money Managing
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LESSON 17 SUMMARY - Money Managing
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158 Percentages and Types of Income (20:48)
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159 Pay Calculation (38:29)
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160 Earnings Deductions (31:26)
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161 Tax Table Information (21:35)
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162 Simple Interest (39:01)
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163 Hire Purchase (49:07)
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164 Compound Interest & Exponential Growth and Decay (76:04)
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165 Profit, Loss & Discounts (27:01)
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166 Selling Price, Cost Price and Mark Up (30:13)
Part 18 - Curved Graphs
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LESSON 18 SUMMARY - Curved Graphs
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167 Exploring Quadratic Graphs (40:05)
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168 Mastering Parabola Equations and Key Points (56:18)
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169 Drawing Reciprocal Graphs (The Hyperbola) (48:03)
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170 Using Graphs to Solve Quadratic Equations (31:28)
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171 Using Graphs to Solve Simultaneous Linear & Non-Linear Equations (17:21)
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172 Exploring Various Graphs (14:30)
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173 Understanding Curve Gradients (20:00)
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174 Differentials (254:52)
Part 19 - Symmetry
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LESSON 19 SUMMARY - Symmetry
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175 Symmetry in Two Dimensions (47:50)
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176 Rotational Symmetry in Two Dimensions (33:24)
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177 Plane Symmetry in Three Dimension (48:48)
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178 Rotational Symmetry in Three Dimension (23:06)
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179 Symmetrical Properties of a Circle (30:08)
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180 Problems related to Symmetrical Properties of a Circle (46:39)
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181 Angle Relationship in Circles (46:24)
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182 Problems related to Angle Relationship in Circles (Part 1) (65:47)
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183 Problems related to Angle Relationship in Circles (Part 2) (35:01)
Part 20 - Histograms & Frequency Distribution Diagrams
Part 21 - Ratio, Rates & Proportion
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LESSON 21 SUMMARY - Ratio, Rates & Proportion
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187 Basics of Ratio (14:21)
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188 Equivalent Ratios (75:19)
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189 Dividing a Quantity in a Given Ratio (36:00)
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190 Ratio & Scale Drawing (63:49)
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191 Rate (31:07)
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192 Explanation of Kinematic Graphs (82:19)
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193 Kinematic Graph Questions (54:02)
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194 Increasing & Decreasing Amounts by a Given Ratio (9:20)
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195 Direct & Inverse Proportion (72:07)
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196 Direct & Inverse Proportion in Algebraic Terms (38:20)
Part 22 - Additional Equations, Functions & Formulae
Part 23 - Vectors & Transformations
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LESSON 23 SUMMARY - Vectors & Transformations
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203 Reflection Transformation (47:45)
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204 Rotational Transformation (part 1 & 2) (61:01)
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205 Translation Transformation (42:31)
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206 Enlargement Transformation (43:26)
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207 Vector Notation (44:48)
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208 Operations of Vectors (74:44)
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209 Magnitude of a Vector (42:02)
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210 Position Vectors (38:39)
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211 Combination of Transformations (part 1 & 2) (59:04)
Part 24 - Probability Using Diagrams