| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Self Assessment | Self Assessment - Grade 11 - ACT Plane Geometry & Trigonometry Entrance Exam | Info | Go |
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Objective: Assessment |
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| 2 | Geometry part 1 | Adjacent Angles | Info | Go |
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Objective: To recognise and calculate the size of adjacent angles |
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| 3 | Geometry part 1 | Complementary and Supplementary Angles | Info | Go |
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Objective: To recognise and calculate the size of complementary and supplementary angles |
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| 4 | Geometry part 1 | Vertically Opposite Angles | Info | Go |
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Objective: To determine values of pronumerals in vertically opposite angles |
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| 5 | Geometry part 1 | Angles at a Point | Info | Go |
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Objective: To use angles at a point to calculate unknown angles |
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| 6 | Geometry part 1 | Parallel Lines | Info | Go |
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Objective: To identify angle pairs and calculate angles formed by a transversal and parallel lines |
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| 7 | Geometry part 1 | Additional questions involving parallel lines | Info | Go |
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Objective: To determine angle magnitude for angles formed by parallel lines and transversals |
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| 8 | Geometry part 1 | Angle Sum of a Triangle | Info | Go |
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Objective: To use the angle sum for a triangle to calculate unknown angles |
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| 9 | Geometry part 1 | Exterior angle theorem | Info | Go |
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Objective: To use the external angle of a triangle theorem to calculate unknown angles |
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| 10 | Geometry part 1 | Special triangles | Info | Go |
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Objective: To use the properties of equilateral and isosceles triangles to calculate angle size |
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| 11 | Geometry part 1 | Quadrilaterals | Info | Go |
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Objective: To use the angle sum of a quadrilateral to calculate unknown angles |
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| 12 | Quadrilaterals | Quadrilaterals 1 | Info | Go |
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Objective: To recognise, name and describe the properties of quadrilaterals |
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| 13 | Quadrilaterals | Properties of Parallelograms - Opposite Angles Equal | Info | Go |
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Objective: To prove and use 'Opposite angles of a parallelogram are congruent' |
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| 14 | Quadrilaterals | Properties of Parallelograms - Diagonals, Sides and Angles | Info | Go |
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Objective: To prove parallelogram properties and calculate unknown angles and lengths |
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| 15 | Quadrilaterals | The Parallelogram Umbrella | Info | Go |
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Objective: To prove properties of specific parallelograms and find angles and lengths |
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| 16 | Quadrilaterals | Properties of Trapezoids | Info | Go |
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Objective: To prove properties of trapezoids and find unknown lengths and angles |
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| 17 | Geometry part 2 | Congruent triangles: Tests 1 and 2 | Info | Go |
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Objective: To recognise congruent triangles and matching sides and angles using SSS and SAS |
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| 18 | Geometry part 2 | Congruent triangles: Tests 3 and 4 | Info | Go |
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Objective: To recognise congruent triangles and matching sides and angles using AAS and RHS |
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| 19 | Geometry part 2 | Proofs and Congruent Triangles | Info | Go |
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Objective: To use congruency in formal proofs in order to determine unknown angles and sides |
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| 20 | Geometry part 2 | Similar Triangles | Info | Go |
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Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles |
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| 21 | Geometry part 2 | Using Similar Triangles to Calculate Lengths | Info | Go |
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Objective: To determine unknown sides and angles of similar triangles |
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| 22 | Co-ordinate geometry part 2 | Transformations: Reflections | Info | Go |
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Objective: To identify reflections and to use isometric properties of reflections |
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| 23 | Geometry transformations | Geometry Transformations without Matrices: Translation | Info | Go |
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Objective: To find the image of a point or object after a translation |
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| 24 | Geometry transformations | Geometry Transformations without Matrices: Rotation | Info | Go |
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Objective: To determine rotation angle and to perform prescribed rotations |
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| 25 | Geometry transformations | Geometry Transformations without Matrices: Dilation or Enlargement | Info | Go |
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Objective: To describe dilations and to calculate lengths and scale factors of dilated figures |
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| 26 | Geometry transformations | Geometry Transformations without Matrices: Mixed and Combined Transformations | Info | Go |
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Objective: To identify images produced by a given sequence of transformations |
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| 27 | Pythagoras | Pythagoras' Theorem: Finding the Hypotenuse | Info | Go |
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Objective: To calculate the length of a hypotenuse using Pythagoras' Theorem |
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| 28 | Pythagoras | Using Pythagorean Triples to Identify Right Triangles | Info | Go |
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Objective: To identify right triangles by using Pythagorean Triples or Pythagoras' Theorem |
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| 29 | Pythagoras | Calculating the Hypotenuse of a right-angled Triangle | Info | Go |
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Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals |
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| 30 | Pythagoras | Calculating a Leg of a right-angled Triangle | Info | Go |
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Objective: To calculate the length of sides other than the hypotenuse using Pythagoras' Theorem |
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| 31 | Pythagoras | Proofs of Pythagoras' Theorem | Info | Go |
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Objective: To examine and complete proofs of Pythagoras' Theorem |
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| 32 | Trigonometry part 1 | Trigonometric Ratios | Info | Go |
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Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle |
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| 33 | Trigonometry part 1 | Using the Calculator | Info | Go |
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Objective: To determine trigonometric ratios using a calculator |
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| 34 | Trigonometry part 1 | Using the Trigonometric Ratios to find unknown length [Case 1 Sin] | Info | Go |
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Objective: To use the sine ratio to calculate the opposite side of a right-angled triangle |
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| 35 | Trigonometry part 1 | Using the Trigonometric Ratios to find unknown length [Case 2 Cosine] | Info | Go |
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Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle |
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| 36 | Trigonometry part 1 | Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio] | Info | Go |
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Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle |
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| 37 | Trigonometry part 1 | Unknown in the Denominator [Case 4] | Info | Go |
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Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator |
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| 38 | Trigonometry part 1 | Bearings: The Compass | Info | Go |
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Objective: To change from true bearings to compass bearings and vice versa |
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| 39 | Trigonometry part 1 | Angles of Elevation and Depression | Info | Go |
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Objective: To identify and distinguish between angles of depression and elevation |
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| 40 | Trigonometry part 1 | Trigonometric Ratios in Practical Situations | Info | Go |
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Objective: To solve problems involving bearings and angles of elevation and depression |
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| 41 | Trigonometry part 1 | Using the Calculator to Find an Angle Given a Trigonometric Ratio | Info | Go |
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Objective: To find angles in right-angled triangles given trigonometric ratios |
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| 42 | Trigonometry part 1 | Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle | Info | Go |
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Objective: To use trigonometric ratios to determine angles in right-angled triangles and in problems |
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| 43 | Trigonometry part 1 | Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios | Info | Go |
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Objective: To determine the exact values of sin, cos and tan of 30, 45 and 60 degrees |
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| 44 | Trigonometry part 1 | The Cosine Rule to find an unknown side [Case 1 SAS] | Info | Go |
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Objective: To complete the cosine rule to find a subject side for given triangles |
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| 45 | Trigonometry part 1 | The Sine Rule to find an unknown side: Case 1 | Info | Go |
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Objective: To complete the cosine rule to find a subject angle for given triangles |
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| 46 | Trigonometry part 1 | The Sine Rule: Finding a Side | Info | Go |
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Objective: To find an unknown side of a triangle using the sine rule |
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| 47 | Trigonometry part 1 | The Sine Rule: Finding an Angle | Info | Go |
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Objective: To find an unknown angle of a triangle using the sine rule |
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| 48 | Trigonometry part 2 | Graphing the Trigonometric Ratios I: Sine Curve | Info | Go |
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Objective: To recognise the sine curve and explore shifts of phase and amplitude |
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| 49 | Trigonometry part 2 | Graphing the Trigonometric Ratios II: Cosine Curve | Info | Go |
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Objective: To recognise the cosine curve and explore shifts of phase and amplitude |
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| 50 | Trigonometry part 2 | Graphing the Trigonometric Ratios III: Tangent Curve | Info | Go |
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Objective: To recognise the tangent curve and explore shifts of phase and amplitude |
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| 51 | Trigonometry part 2 | Reciprocal Ratios | Info | Go |
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Objective: To find the trigonometric ratios for a given right-angled triangle |
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| 52 | Trigonometry part 2 | Complementary Angle Results | Info | Go |
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Objective: To use complementary angle ratios to find an unknown angle given a trigonometric equality |
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| 53 | Trigonometry part 2 | Trigonometric Identities | Info | Go |
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Objective: To simplify expressions using trigonometric equalities |
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| 54 | Trigonometry part 2 | Solving Trigonometric Equations - Type I | Info | Go |
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Objective: To Solve trigonometric equations for angles from 0 to 360 degrees. |
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| 55 | Trigonometry part 2 | Solving Trigonometric Equations - Type II | Info | Go |
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Objective: To solve trigonometric equations for angles from 0 to 360 degrees. |
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| 56 | Trigonometry part 2 | Graphing the Trigonometric Ratios IV: Reciprocal Ratios | Info | Go |
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Objective: To graph the primary trigonometric functions and their inverses |
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| 57 | Measurement - Advanced volume | Finding the volume of prisms | Info | Go |
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Objective: To calculate the volume of prisms using V=Ah and solve volume problems |
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| 58 | Measurement - Advanced volume | Volume of a Cylinder and Sphere | Info | Go |
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Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each |
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| 59 | Measurement - Advanced volume | Volume of Pyramids and Cones | Info | Go |
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Objective: To calculate the volumes of pyramids and cones |
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| 60 | Measurement - Advanced volume | Composite Solids | Info | Go |
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Objective: To calculate the volume of composite figures using appropriate formulae |
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| 61 | Surface area | Surface Area of a Cube/Rectangular Prism | Info | Go |
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Objective: To calculate the surface area of cubes and rectangular prisms |
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| 62 | Surface area | Surface Area of a Triangular/Trapezoidal Prism | Info | Go |
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Objective: To calculate the surface area of triangular and trapezoidal prisms |
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| 63 | Surface area | Surface Area of a Cylinder and Sphere | Info | Go |
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Objective: To calculate the surface area of cylinders and spheres |
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| 64 | Surface area | Surface Area of Pyramids | Info | Go |
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Objective: To calculate the surface area of pyramids |
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| 65 | Surface area | Surface Area of Composite Solids | Info | Go |
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Objective: To calculate the surface area of composite solids |
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| 66 | Surface area | Surface area of composite solids | Info | Go |
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Objective: On completion of the lesson the student will be able to find the surface areas of Composite solids. |
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| 67 | Matrices | Vectors | Info | Go |
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Objective: To use vectors to find resultant speeds and displacements |
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| 68 | Matrices - Linear systems | Vector Addition in 2 and 3D | Info | Go |
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Objective: To represent, add, subtract and determine the direction of vectors |
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| 69 | Logic | Inductive and Deductive Reasoning | Info | Go |
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Objective: To identify and use inductive and deductive reasoning |
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| 70 | Logic | Disproof of Counter Example | Info | Go |
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Objective: To identify a statement as a counter example to disprove a statement |
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| 71 | Logic | Proof by Disproof of a Contradictory Statement | Info | Go |
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Objective: To prove that a statement is true by proving that the contradictory statement is false |
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| 72 | Exam | Exam - Grade 11 - ACT Plane Geometry & Trigonometry Entrance Exam | Info | Go |
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Objective: Exam |
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