| # | TOPIC | TITLE | +/- | |
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| 1 | Study Plan | Study plan - Jnr Cert Higher 3rd Year | Info | Go |
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Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. |
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| 2 | 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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| 3 | Equations | Problem solving strategies | Info | Go |
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Objective: On completion of the lesson the student will be able to recall the steps in a strategy for solving word problems. |
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| 4 | Number problems | Problems with numbers. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve problems with numbers using a problem solving strategy. |
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| 5 | Length | Problems with length. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve problems with length. |
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| 6 | Mass | Problems with mass. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve problems with mass. |
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| 7 | Area | Problems with area. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve problems with area. |
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| 8 | Surface area | Surface area of a cube/rectangular prism. | Info | Go |
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Objective: On completion of the lesson the student will be able calculate the surface area of a number of different shapes by applying the appropriate formula. |
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| 9 | Surface area | Surface area of a triangular/trapezoidal prism. | Info | Go |
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Objective: On completion of the lesson the student will be able calculate the surface area of a number of triangular and trapezoidal shapes by applying the appropriate formula. |
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| 10 | Surface area | Surface area of a cylinder and sphere. | Info | Go |
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Objective: On completion of the lesson the student will be able calculate the surface area of different cylindrical and spherical shapes by applying the appropriate formula. |
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| 11 | Surface area | Surface area of pyramids | Info | Go |
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Objective: On completion of the lesson the student will be able to find the surface areas of pyramids. |
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| 12 | Surface area | Surface area of cones | Info | Go |
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Objective: On completion of the lesson the student will be able to find the surface areas of cones by finding the area or the base 'p r . 'and the area of the curved surface ' p r l'. The student will also be able to find the slant height 'l' given the perpendicul |
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| 13 | 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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| 14 | Algebraic expressions | Expanding algebraic expressions: multiplication | Info | Go |
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Objective: On completion of the lesson the student will be able mentally to multiply and remove parentheses from simple algebraic expressions in one step. |
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| 15 | Algebraic expressions | Expanding algebraic expressions: negative multiplier | Info | Go |
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Objective: On completion of the lesson the student will be able to expand expressions using a negative multiplier. |
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| 16 | Algebraic expressions | Expanding and simplifying algebraic expressions | Info | Go |
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Objective: On completion of the lesson the student will be familiar with expanding and simplifying algebraic expressions. |
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| 17 | Algebraic equations | Solving equations containing addition and subtraction | Info | Go |
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Objective: On completion of the lesson the student will understand how solve simple equations involving addition and subtraction by moving everything but the pronumeral onto one side of the equation, leaving the pronumeral by itself on the other side. |
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| 18 | Algebraic equations | Solving equations containing multiplication and division | Info | Go |
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Objective: On completion of the lesson the student will be able to solve simple equations involving all operations. |
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| 19 | Algebraic equations | Solving two step equations | Info | Go |
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Objective: On completion of the lesson the student will be able to solve two step equations. |
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| 20 | Algebraic equations | Solving equations containing binomial expressions | Info | Go |
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Objective: On completion of the lesson the student will be able to move terms in binomial equations. |
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| 21 | Algebraic equations | Equations involving grouping symbols. | Info | Go |
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Objective: On completion of the lesson the student will be able to solve equations using grouping symbols |
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| 22 | Algebraic equations | Equations involving fractions. | Info | Go |
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Objective: On completion of the lesson the student will know how to solve equations using fractions. |
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| 23 | Algebra- formulae | Equations resulting from substitution into formulae. | Info | Go |
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Objective: On completion of the lesson the student will be able to substitute into formulae and then solve the resulting equations. |
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| 24 | Algebra- formulae | Changing the subject of the formula. | Info | Go |
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Objective: On completion of the lesson the student will be able to move pronumerals around an equation using all the rules and operations covered previously. |
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| 25 | Algebra-inequalities | Solving Inequalities. | Info | Go |
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Objective: On completion of the lesson the student will understand the 'greater than' and 'less than' signs, and be able to perform simple inequalities. |
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| 26 | Algebra-factorising | Simplifying easy algebraic fractions. | Info | Go |
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Objective: On completion of the lesson the student will understand how to simplify algebraic fractions by factorising. |
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| 27 | Factorisation | Factorisation of algebraic fractions including binomials. | Info | Go |
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Objective: On completion of the lesson the student should be able to simplify more complex algebraic fractions using a variety of methods. |
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| 28 | Rules for indices/exponents | Adding indices when multiplying terms with the same base | Info | Go |
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Objective: On completion of the lesson the student will know how to use the index law of addition of powers when multiplying terms with the same base. |
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| 29 | Rules for indices/exponents | Subtracting indices when dividing terms with the same base | Info | Go |
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Objective: On completion of the lesson the student will know how to use the index law of subtraction of powers when dividing terms with the same base. |
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| 30 | Rules for indices/exponents | Multiplying indices when raising a power to a power | Info | Go |
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Objective: On completion of the lesson the student will use the law of multiplication of indices when raising a power to a power. |
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| 31 | Rules for indices/exponents | Multiplying indices when raising to more than one term | Info | Go |
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Objective: On completion of the lesson the student will be able to use the law of multiplication of indices when raising more than one term to the same power. |
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| 32 | Rules for indices/exponents | Terms raised to the power of zero | Info | Go |
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Objective: On completion of the lesson the student will learn how to evaluate or simplify terms that are raised to the power of zero. |
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| 33 | Rules for indices/exponents | Negative Indices | Info | Go |
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Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing negative indices. |
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| 34 | Fractional indices/exponents | Fractional indices | Info | Go |
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Objective: On completion of the lesson the student will know how to evaluate or simplify expressions containing fractional indices. |
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| 35 | Geometry-triangles | Exterior angle theorem | Info | Go |
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Objective: On completion of the lesson the student will able to identify and use the exterior angle of a triangle theorem to solve geometric questions. |
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| 36 | Significant figures | Significant figures | Info | Go |
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Objective: On completion of the lesson the student will be able to observe how many significant figures are in a number and how to express a number to a certain level of significant figures. |
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| 37 | Geometry-angles | Measuring angles | Info | Go |
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Objective: On completion of the lesson the student will be able to measure any angle between 0 and 360 degrees using a protractor, and identify what type of angle it is. |
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| 38 | Geometry-angles | Adjacent angles | Info | Go |
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Objective: On completion of the lesson the student will be able to understand the parts of an angle, what adjacent angles are and how they are used to solve simple angle problems. |
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| 39 | Geometry-angles | Complementary and supplementary angles | Info | Go |
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Objective: On completion of the lesson the student will able to identify Complementary and Supplementary Angles and use this knowledge to solve simple geometric angle problems. |
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| 40 | Geometry-angles | Vertically opposite angles | Info | Go |
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Objective: On completion of the lesson the student will able to identify Vertically Opposite Angles and use this knowledge to solve simple geometric angle problems. |
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| 41 | Geometry-angles | Angles at a Point. | Info | Go |
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Objective: On completion of the lesson the student will able to identify Angles at a Point and use this knowledge and other angles concepts to solve simple geometric angle problems. |
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| 42 | Geometry-angles | Parallel Lines. | Info | Go |
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Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles. |
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| 43 | Geometry-problems | Additional questions involving parallel lines | Info | Go |
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Objective: On completion of the lesson the student will able to complete two step parallel line questions, and identify other ways to solve them. |
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| 44 | Geometry-triangles | Angle sum of a triangle | Info | Go |
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Objective: On completion of the lesson the student will able to identify and use the angle sum of a triangle theorem to solve geometric problems. |
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| 45 | Geometry problems | More difficult exercises involving parallel lines | Info | Go |
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Objective: On completion of the lesson the student will able to identify corresponding, co-interior and alternate angles in questions that are more difficult than previously completed. Students will also learn to use other geometric properties as well as set out log |
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| 46 | Geometry-reasoning | Further difficult exercises involving formal reasoning | Info | Go |
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Objective: On completion of the lesson the student will be able to identify which geometric properties are needed to complete a question and be able to use formal reasoning to write out this information. |
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| 47 | Geometry-polygons | Angles of regular polygons | Info | Go |
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Objective: On completion of the lesson the student will be able to identify and use the angle sum of a polygon formula, and understand that the external angles of a polygon add up to 360 degrees. |
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| 48 | Geometry-congruence | Congruent triangles, Test 1 and 2 | Info | Go |
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Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are congruent. |
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| 49 | Geometry-congruence | Congruent triangles, Test 3 and 4 | Info | Go |
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Objective: On completion of the lesson the student will be able to identify other tests to use to show two triangles are congruent. |
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| 50 | Geometry-congruence | Proofs and congruent triangles. | Info | Go |
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Objective: On completion of the lesson the student will be able to set out a formal proof to show that two triangles are congruent. |
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| 51 | Similar triangles | Similar triangles | Info | Go |
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Objective: On completion of the lesson the student will be able to identify which test to use to show two triangles are similar. |
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| 52 | Similar triangles | Using similar triangles to calculate lengths | Info | Go |
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Objective: On completion of the lesson the student will be able to calculate lengths using similar triangles. |
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| 53 | Overlapping triangles | Examples involving overlapping triangles | Info | Go |
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Objective: On completion of the lesson the student will be able to calculate unknown sides in overlapping or adjacent similar triangles. |
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| 54 | Surds | Introducing surds | Info | Go |
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Objective: On completion of the lesson the student will be able to identify and know the properties of surds as irrational numbers and be able to distinguish them from rational numbers. |
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| 55 | Surds | Some rules for the operations with surds | Info | Go |
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Objective: On completion of the lesson the student will know how to use the rules for division and multiplication of surds. |
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| 56 | Surds | Simplifying surds | Info | Go |
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Objective: On completion of the lesson the student will know how to use the rules for simplifying surds using division and multiplication. |
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| 57 | Simultaneous equns | Simultaneous equations | Info | Go |
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Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the substitution method. |
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| 58 | Simultaneous equns | Elimination method | Info | Go |
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Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the elimination method. |
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| 59 | Simultaneous equns | Elimination method part 2 | Info | Go |
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Objective: On completion of the lesson the student will be able to solve all types of simultaneous equations with 2 unknown variables by the elimination method. |
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| 60 | Functions and graphs | Quadratic polynomials of the form y = ax. + bx + c. | Info | Go |
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Objective: On completion of the lesson the student will be able to predict the general shape of a parabola and verify the predictions by sketching the parabola. The student will also be introduced to the discriminant and the axis. |
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| 61 | Functions and graphs | Graphing perfect squares: y=(a-x) squared | Info | Go |
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Objective: On completion of the lesson the student will be able to analyse a curve and then check their work by graphing the curve. |
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| 62 | Factorising | Expansions leading to the difference of two squares | Info | Go |
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Objective: On completion of the lesson the student will understand expansions leading to differences of 2 squares. |
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| 63 | Algebra-highest common factor | Highest common factor. | Info | Go |
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Objective: On completion of the lesson the student will be capable of turning a simple algebraic expression into the product of a factor in parentheses and identifying the highest common factors of the whole expression. |
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| 64 | Factors by grouping | Factors by grouping. | Info | Go |
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Objective: On completion of the lesson the student will be able to complete the process given just two factors for the whole expression. |
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| 65 | Difference of 2 squares | Difference of two squares | Info | Go |
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Objective: On completion of the lesson the student understand the difference of two squares and be capable of recognising the factors. |
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| 66 | Common fact and diff | Common factor and the difference of two squares | Info | Go |
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Objective: On completion of the lesson the student will be aware of common factors and recognise the difference of two squares. |
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| 67 | Quadratic trinomials | Quadratic trinomials [monic] - Case 1. | Info | Go |
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Objective: On completion of the lesson the student will understand the factorisation of quadratic trinomial equations with all terms positive. |
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| 68 | Algebraic fractions | Simplifying algebraic fractions. | Info | Go |
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Objective: On completion of the lesson the student should be familiar with all of the factorisation methods presented to this point. |
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| 69 | Trigonometry-ratios | Trigonometric ratios. | Info | Go |
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Objective: On completion of the lesson the student will be able to identify the hypotenuse, adjacent and opposite sides for a given angle in a right angle triangle. The student will be able to label the side lengths in relation to a given angle e.g. the side c is op |
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| 70 | Trigonometry-ratios | Using the calculator. | Info | Go |
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Objective: On completion of the lesson the student will be able to use the calculator to find values for the sine, cosine and tangent ratios of acute angles. |
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| 71 | Trigonometry-ratios | Using the trigonometric ratios to find unknown length. [Case 1 Sine]. | Info | Go |
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Objective: On completion of the lesson the student will be able to use the sine ratio to calculate lengths and distances. |
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| 72 | Trigonometry-ratios | Using the trigonometric ratios to find unknown length. [Case 2 Cosine]. | Info | Go |
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Objective: On completion of the lesson the student will be able to use the cosine ratio to find the length of the adjacent side of a right angle triangle. |
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| 73 | Trigonometry-ratios | Using the trigonometric ratios to find unknown length. [Case 3 Tangent Ratio]. | Info | Go |
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Objective: On completion of the lesson the student will be able to use the tangent ratio to calculate the length of the opposite side in a right angle triangle. |
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| 74 | Trigonometry-compass | Bearings - the compass. | Info | Go |
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Objective: On completion of the lesson the student will be able to identify compass bearings, compass bearings with acute angles and 3 figure bearings from true north. |
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| 75 | Coordinate Geometry-the plane | Distance formula. | Info | Go |
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Objective: On completion of the lesson the student will be able to calculate the distance between any two points on the number plane and interpret the results. |
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| 76 | Coordinate Geometry-midpoint, slope | Mid-point formula | Info | Go |
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Objective: On completion of the lesson the student will be able to understand the mid point formula and use it practically. |
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| 77 | Coordinate Geometry-gradient | Gradient | Info | Go |
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Objective: On completion of the lesson the student will be able to calculate the gradient of a line given its inclination, or angle to the positive direction of the x-axis; or its rise and run. |
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| 78 | Coordinate Geometry-gradient | Gradient formula. | Info | Go |
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Objective: On completion of the lesson the student will be able to calculate the gradient of a line given any two points on the line and also be capable of checking whether 3 or more points lie on the same line and what an unknown point will make to parallel lines. |
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| 79 | Coordinate Geometry-straight line | The straight line. | Info | Go |
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Objective: On completion of the lesson the student will be able to draw a line which is parallel to either axis and comment on its gradient, where that gradient exists. |
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| 80 | Coordinate Geometry-slope, etc. | Lines through the origin. | Info | Go |
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Objective: On completion of the lesson the student will be able to draw a line which passes through the origin of the form y=mx and comment on its gradient compared to the gradients of other lines through the origin and use the information to solve problems. |
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| 81 | Coordinate Geometry-equation of line | General form of a line and the x and y Intercepts. | Info | Go |
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Objective: On completion of the lesson the student will be able to change the equation of a straight line from the form, written as y=mx+c, into the general form and vice versa. |
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| 82 | Coordinate Geometry-intercept | Slope intercept form of a line. | Info | Go |
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Objective: On completion of the lesson the student will be able to find the slope and intercept given the equation and given the slope and intercept, derive the equation. |
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| 83 | Coordinate Geometry-point slope | Point slope form of a line | Info | Go |
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Objective: On completion of the lesson the student will understand how to derive the equation of a straight line given the gradient and a point on the line. |
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| 84 | Statistics | Frequency distribution table | Info | Go |
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Objective: On completion of the lesson the student will be able to construct a frequency distribution table for raw data and interpret the table. |
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| 85 | Statistics | Frequency histograms and polygons | Info | Go |
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Objective: On completion of the lesson the student will be able to construct and interpret frequency histograms and polygons. |
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| 86 | Statistics | Relative frequency | Info | Go |
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Objective: On completion of the lesson the student will be able to collect, display and make judgements about data. |
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| 87 | Statistics | The range. | Info | Go |
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Objective: On completion of the lesson the student will be able to determine the range of data in either raw form or in a frequency distribution table. |
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| 88 | Statistic-probability | The mode | Info | Go |
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Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon. |
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| 89 | Statistic-probability | The mean | Info | Go |
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Objective: On completion of the lesson the student will be able to calculate means from raw data and from a frequency table using an fx column. |
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| 90 | Statistic-probability | The median | Info | Go |
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Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores |
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| 91 | Statistic-probability | Cumulative frequency | Info | Go |
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Objective: On completion of the lesson the student will be able to construct cumulative frequency columns, histograms and polygons. |
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| 92 | Statistic-probability | Calculating the median from a frequency distribution | Info | Go |
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Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon. |
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| 93 | Statistic-probability | Probability of Simple Events | Info | Go |
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Objective: On completion of the lesson the student will be able to understand the probability of simple events. |
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| 94 | Statistic-probability | Rolling a pair of dice | Info | Go |
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Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results when 2 dice are thrown simultaneously. |
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| 95 | Circle Geometry | Theorem - The angle at the centre of a circle is double the angle at the circumference standing on the same arc. | Info | Go |
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Objective: On completion of the lesson the student will be able to prove that the angle at the centre of a circle is double the angle at the circumference standing on the same arc. |
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| 96 | Circle Geometry | Theorem - The tangent to a circle is perpendicular to the radius drawn to it at the point of contact. | Info | Go |
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Objective: On completion of the lesson the student will be able to prove that the tangent and the radius of a circle are perpendicular at the point of contact. |
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| 97 | Sequences and Series-Compound interest | Compound interest | Info | Go |
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Objective: On completion of the G.P. lesson the student will understand the compound interest formula and how to use it and adjust the values of r and n, if required, for different compounding periods. |
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| 98 | Sequences and Series-Superannuation | Superannuation. | Info | Go |
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Objective: On completion of the lesson the student will understand the method of finding the accumulated amount of a superannuation investment using the sum formula for a G.P. |
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| 99 | Sequences and Series-Time payments | Time payments. | Info | Go |
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Objective: On completion of the lesson the student will have examined examples carefully and be capable of setting out the long method of calculating a regular payment for a reducible interest loan. |
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| 100 | Exam | Exam - Jnr Cert Higher 3rd Year | Info | Go |
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Objective: Exam |
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