| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Self Assessment | Self Assessment - Grade 10 | Info | Go |
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Objective: Assessment |
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| 2 | Percentages | One Quantity as a Percentage of Another | Info | Go |
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Objective: To determine what one quantity is as a percentage of another |
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| 3 | Percentages | Calculating Percentages and Fractions of Quantities | Info | Go |
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Objective: To find percentages and fractions of quantities and solve problems with percentages |
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| 4 | Indices/Exponents | Adding indices when multiplying terms with the same base | Info | Go |
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Objective: To add indices when multiplying powers that have the same base |
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| 5 | Indices/Exponents | Subtracting indices when dividing terms with the same base | Info | Go |
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Objective: To subtract indices when dividing powers of the same base |
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| 6 | Indices/Exponents | Multiplying indices when raising a power to a power | Info | Go |
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Objective: To multiply indices when raising a power to a power |
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| 7 | Indices/Exponents | Multiplying indices when raising to more than one term | Info | Go |
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Objective: To raise power products to a power |
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| 8 | Indices/Exponents | Terms raised to the power of zero | Info | Go |
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Objective: To evaluate expressions where quantities are raised to the power 0 |
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| 9 | Standard/Scientific notation | Scientific notation with larger numbers | Info | Go |
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Objective: To write large numbers in standard or scientific notation |
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| 10 | Standard/Scientific notation | Scientific notation with small numbers | Info | Go |
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Objective: To write small numbers in standard or scientific notation |
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| 11 | Standard/Scientific notation | Changing scientific notation to numerals | Info | Go |
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Objective: To interpret scientific notation by writing in base 10 numerals |
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| 12 | Standard/Scientific notation | Significant Figures | Info | Go |
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Objective: To write a number to a specified number of significant figures |
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| 13 | Surds/Radicals | Introducing surds | Info | Go |
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Objective: To recognise and simplify numerical expressions involving surds |
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| 14 | Graphs - Basic | Pie and Bar Graphs | Info | Go |
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Objective: To read and interpret pie and bar graphs |
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| 15 | Statistics part 1 | Frequency distribution table | Info | Go |
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Objective: To construct a frequency distribution table for raw data and to interpret the table |
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| 16 | Statistics part 1 | Frequency histograms and polygons | Info | Go |
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Objective: To construct and interpret frequency histograms and polygons |
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| 17 | Statistics part 1 | The Range | Info | Go |
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Objective: To determine the range of data in either raw form or in a frequency distribution table |
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| 18 | Statistics part 1 | The Mode | Info | Go |
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Objective: To find the mode from raw data and from a frequency distribution table |
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| 19 | Statistics part 1 | The Mean | Info | Go |
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Objective: To calculate means from raw data and from a frequency table using an fx column |
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| 20 | Statistics part 1 | The Median | Info | Go |
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Objective: To determine the median of a set of raw scores |
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| 21 | Statistics part 1 | Calculating the Mean from a Frequency Distribution | Info | Go |
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Objective: To determine averages (mean, median and mode) from cumulative frequency polygons |
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| 22 | Statistics part 2 | Calculating mean, mode and median from grouped data | Info | Go |
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Objective: To identify class centres, get frequency counts and determine mean, mode and median values |
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| 23 | Statistics part 2 | Using the Calculator for Statistics | Info | Go |
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Objective: To find a mean, using a data set or a frequency distribution table and calculator. |
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| 24 | Statistics part 2 | Measures of Spread | Info | Go |
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Objective: To determine a range and use it in decision making |
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| 25 | Statistics part 2 | Standard deviation applications | Info | Go |
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Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator |
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| 26 | Statistics part 2 | Applications of Standard Deviation | Info | Go |
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Objective: To use standard deviation as a measure of deviation from a mean |
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| 27 | Statistics part 2 | The Normal Distribution | Info | Go |
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Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges |
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| 28 | Statistics part 2 | Measures of Spread: the interquartile range | Info | Go |
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Objective: To find the upper and lower quartiles and the interquartile range |
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| 29 | Statistics part 1 | The Scatter plot | Info | Go |
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Objective: To make a valid interpretation of data presented as a scatter plot |
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| 30 | Statistics part 1 | Stem and Leaf Plots along with Box and Whisker Plots | Info | Go |
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Objective: To derive statistics from data represented as stem & leaf or box & whisker plots |
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| 31 | Probability | Simple events | Info | Go |
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Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S) |
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| 32 | Probability | Rolling a pair of dice | Info | Go |
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Objective: To find the probability of selected events when two dice are rolled |
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| 33 | Probability | Experimental probability | Info | Go |
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Objective: To find the experimental probabilities of an experimental trial |
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| 34 | Probability | Experimental probability | Info | Go |
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Objective: To use tree diagrams to determine sample spaces and compound probabilities |
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| 35 | Probability | Tree diagrams: depending on previous outcomes | Info | Go |
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Objective: To use tree diagrams where the probability is dependent on previous outcomes |
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| 36 | Probability | The Complementary Result | Info | Go |
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Objective: To calculate the probability of complementary events using P(E) = 1 - P(not E) |
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| 37 | Probability | P[A or B] When A and B are NOT mutually exclusive | Info | Go |
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Objective: To calculate the probability of non exclusive events using P(A or B) = P(A)+P(B) |
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| 38 | Space | Recognise and name prisms according to spatial properties | Info | Go |
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Objective: To name prisms according to the shape of the base |
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| 39 | Space | Recognise and name pyramids according to spatial properties | Info | Go |
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Objective: To name pyramids according to the shape of the base |
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| 40 | Space | Recognise nets for prisms, pyramids, cubes and cones | Info | Go |
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Objective: To match a net with a solid and determine whether a given net forms a solid |
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| 41 | Space | Viewing 3-D Shapes | Info | Go |
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Objective: To recognise what a solid looks like when viewed from a given direction |
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| 42 | Measurement - Area | Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram | Info | Go |
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Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height |
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| 43 | Measurement - Area | Finding the Area of a Triangle and Other Composite Shapes | Info | Go |
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Objective: To calculate the area of triangles and measure and calculate composite shape area |
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| 44 | 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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| 45 | 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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| 46 | Quadrilaterals | Quadrilaterals 1 | Info | Go |
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Objective: To recognise, name and describe the properties of quadrilaterals |
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| 47 | 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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| 48 | 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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| 49 | 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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| 50 | 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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| 51 | Measurement - Advanced area | Area of a Trapezium | Info | Go |
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Objective: To calculate the area of trapezia using A=(h/2)(a+b) |
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| 52 | Measurement - Advanced area | Area of a Rhombus | Info | Go |
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Objective: To calculate the area of a rhombus using diagonal products |
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| 53 | Measurement - Advanced area | Area of a Circle | Info | Go |
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Objective: To calculate the area of circles and sectors and to solve circle problems |
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| 54 | Measurement - Advanced area | Area of Regular Polygons and Composite Figures | Info | Go |
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Objective: To calculate area of composite figures and solve problems using correct formulae |
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| 55 | Problem solving | Word Problems with Area | Info | Go |
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Objective: To solve area word problems using + - x and / |
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| 56 | 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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| 57 | 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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| 58 | Problem solving | Word Problems with Volume/Capacity | Info | Go |
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Objective: To solve volume and capacity word problems using + - x and / |
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| 59 | 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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| 60 | 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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| 61 | 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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| 62 | 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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| 63 | 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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| 64 | 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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| 65 | 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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| 66 | Uniform motion | The Speed Formula | Info | Go |
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Objective: To calculate speed, distance or time using speed = distance/time |
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| 67 | 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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| 68 | 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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| 69 | 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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| 70 | 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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| 71 | 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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| 72 | 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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| 73 | 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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| 74 | 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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| 75 | 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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| 76 | 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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| 77 | Algebra - Basic | Expanding and simplifying algebraic expressions | Info | Go |
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Objective: To expand and simplify algebraic expressions involving grouping symbols |
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| 78 | Algebra - Basic | Solving Equations containing Addition and Subtraction | Info | Go |
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Objective: To solve one-step equations involving addition or subtraction |
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| 79 | Algebra - Basic | Solving Equations containing Multiplication and Division | Info | Go |
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Objective: To solve one-step equations involving multiplication or division |
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| 80 | Algebra - Basic | Solving Two-Step Equations | Info | Go |
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Objective: To solve two-step equations without division in the initial problem |
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| 81 | Algebra - Basic | Solving Equations Containing Binomial Expressions | Info | Go |
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Objective: To solve equations with binomial expressions on each side |
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| 82 | Algebra - Basic | Equations involving Grouping Symbols | Info | Go |
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Objective: To solve equations containing grouping symbols on each side |
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| 83 | Algebra - Basic | Equations involving fractions | Info | Go |
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Objective: To solve fraction equations with the unknown in either the numerator or denominator |
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| 84 | Algebra - Basic | Equations Resulting from Substitution into Formulae | Info | Go |
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Objective: To solve equations created by substituting values into formulae |
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| 85 | Algebra - Basic | Changing the Subject of the Formula | Info | Go |
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Objective: To change the subject of algebraic formulae using equation-solving techniques |
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| 86 | Algebra - Basic | Inequalities | Info | Go |
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Objective: To solve algebraic inequalities requiring (at times) change of direction of inequality sign |
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| 87 | Algebra - Basic | Simplifying easy algebraic fractions | Info | Go |
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Objective: To simplify simple algebraic fractions using cancellation of common factors |
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| 88 | Algebra - Basic | Factorisation of algebraic fractions including binomials | Info | Go |
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Objective: To simplify algebraic fractions requiring the factorisation of binomial expressions |
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| 89 | Algebra - Basic | Cancelling binomial factors in algebraic fractions | Info | Go |
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Objective: To simplify algebraic fractions with binomials in both the numerator and denominator |
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| 90 | Absolute value | Evaluating Absolute Value Expressions | Info | Go |
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Objective: To evaluate numeric and algebraic expressions involving absolute value |
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| 91 | Absolute value | Solving Absolute Value Equations | Info | Go |
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Objective: To solve equations involving absolute values |
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| 92 | Absolute value | Solving and Graphing Inequalities | Info | Go |
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Objective: To graph the solution set of absolute value inequalities |
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| 93 | Function | Functions and Relations: domain and range | Info | Go |
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Objective: To identify and represent functions and relations |
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| 94 | Function | Function Notation | Info | Go |
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Objective: To write and evaluate functions using function notation |
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| 95 | Function | Selecting Appropriate Domain and Range | Info | Go |
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Objective: To determine appropriate domains for functions |
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| 96 | Function | Domain and Range from Graphical Representations | Info | Go |
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Objective: To determine the range of a function from its graphical representation |
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| 97 | 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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| 98 | Trigonometry part 1 | Using the Calculator | Info | Go |
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Objective: To determine trigonometric ratios using a calculator |
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| 99 | 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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| 100 | 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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| 101 | 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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| 102 | 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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| 103 | 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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| 104 | 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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| 105 | 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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| 106 | 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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| 107 | 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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| 108 | 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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| 109 | 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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| 110 | 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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| 111 | 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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| 112 | 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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| 113 | Graphs part 1 | Solving Simultaneous Equations graphically | Info | Go |
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Objective: To solve simultaneous equations graphically |
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| 114 | Co-ordinate geometry part 1 | The Distance Formula | Info | Go |
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Objective: To use the distance formula to calculate the lengths of lines and distances |
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| 115 | Co-ordinate geometry part 1 | The Mid-Point Formula | Info | Go |
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Objective: To determine the mid-point of an interval using the mid-point formula |
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| 116 | Co-ordinate geometry part 1 | The Gradient | Info | Go |
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Objective: To find the gradient of a line given its angle of inclination or given rise and run |
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| 117 | Co-ordinate geometry part 1 | The Gradient Formula | Info | Go |
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Objective: To use the gradient formula to find the gradient of straight lines |
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| 118 | Co-ordinate geometry part 1 | The Straight Line | Info | Go |
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Objective: To state the equation of lines parallel to the axes and to graph equations x = a and y = b |
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| 119 | Co-ordinate geometry part 1 | Lines Through the Origin | Info | Go |
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Objective: To state the equation of lines passing through the origin and to graph y = mx |
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| 120 | Co-ordinate geometry part 1 | General Form of a Line and the x and y Intercepts | Info | Go |
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Objective: To write linear equations in general form, to find the x and y intercepts and to calculate area |
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| 121 | Co-ordinate geometry part 1 | Slope Intercept Form of a Line | Info | Go |
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Objective: To change equation to slope intercept form and graph it and to find equation given graph |
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| 122 | Co-ordinate geometry part 1 | Point Slope Form of a Line | Info | Go |
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Objective: To find the equation of a line given its slope and a point on the line (y-y1) = m(x-x1) |
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| 123 | Exam | Exam - Grade 10 | Info | Go |
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Objective: Exam |
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