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I. Numbers (1)
(386)
1. Integers
(44)
2. Divisibility
(47)
3. Prime factor decomposition
(32)
4. Fractions
(31)
5. Operations on fractions
(36)
6. Decimals
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(42)
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II. Geometry and transformations
(360)
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IV. Algebraic fractions (1)
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28. Solving equations involving algebraic fractions
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29. Changing the subject of the formula
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V. Reasoning
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30. Mathematical statements
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31. Deductive reasoning
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32. Understanding the theorem
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34. Problem assumptions
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VI. Sets
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44. Skewness
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50. Ruler-and-compass constructions, locus (1)
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68. Inverse proportion
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69. Rates of change
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70. Trigonometric ratios in a right-angled triangle
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76. Use of a calculator
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XIV. Probability
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78. Counting problems
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80. Classical concept of probability (2)
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81. The set of possible outcomes
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82. Mutually exclusive events
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85. Solving simple problems in probability
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XV. Graphs of different functions
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91. Other functions
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XVI. Measures on the plane and in space
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101. Volumes of similar solids
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XVII. Solving equations
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102. Linear equations, solving linear equations
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104. Solving simultaneous linear equations (2)
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105. Solving problems involving simultaneous equations
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106. Solving quadratic equations
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107. The quadratic formula
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108. Solving problems involving quadratic equations (1)
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109. Solving problems involving quadratic equations (2)
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110. Solving equations by trial and error (1)
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111. Solving equations by trial and error (2)
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XVIII. Algebraic fractions (2)
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112. Inequalities (1)
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113. Inequalities (2)
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XIX. Numbers (2)
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114. Powers, roots and indices
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115. Irrational numbers
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XX. Vectors
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116. Vectors
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117. Operations on vectors
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118. Scalar multiple
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119. Applications of vectors
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XXI. Correlation and regression
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120. Sampling techniques
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122. Correlation
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123. Analysing and comparing sets of data
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124. Using probability to analyse random events
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XXII. Trigonometry (2)
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125. Trigonometric equations (1)
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126. Trigonometric equations (2)
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127. The sine formula for the area of a triangle
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128. Solving problems involving trigonometric equations
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129. Pythagorean theorem and trigonometry in 3-D
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XXIII. Transformations of graphs
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130. Transforming graphs of various functions
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132. Transforming graphs of trigonometric functions (2)
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133. Using graphs (1)
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135. Graphs of simple loci
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Resources: 1 – 23 Total: 23
Analysing the assumptions of a theorem
Animation
Play
Congruent triangles
Student activity
Play
Congruent triangles
Simulation
Play
Congruent triangles
Animation
Play
Facts and assumptions
Student activity
Play
Facts and assumptions – algebraic expressions
Whiteboard exercise
Play
Facts and assumptions – algebraic inequalities
Whiteboard exercise
Play
Facts and assumptions – prime numbers
Whiteboard exercise
Play
Facts and assumptions – the sum of the numbers
Whiteboard exercise
Play
Necessity of assumptions
Student activity
Play
Necessity of assumptions
Whiteboard exercise
Play
Problem assumptions
Class activity
Play
Problem assumptions
Whiteboard presentation
Play
Proofs and assumptions
Student activity
Play
Proofs and assumptions
Whiteboard exercise
Play
Sum of the angles in a quadrilateral
Simulation
Play
The sum of the interior angles of a quadrilateral – proof
Animation
Play
Theorem – assumptions and claim
Student activity
Play
Theorem – assumptions and claim
Whiteboard exercise
Play
Theorems and their assumptions in algebra
Whiteboard exercise
Play
Theorems and their assumptions in algebra
Student activity
Play
Theorems and their assumptions in geometry
Whiteboard exercise
Play
Theorems and their assumptions in geometry
Student activity
Play
Resources: 1 – 23 Total: 23
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