| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Study Plan | Study plan - Grade 12 - Maths at Work 2/3 | 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 | Time, distance, speed | Average speed | Info | Go |
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Objective: On completion of the lesson the student will be able to understand what is meant by the speed of an object, read the instantaneous speed of a vehicle on a speedometer and find the average speed of an object. |
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| 3 | Time zones | Time zones | Info | Go |
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Objective: On completion of the lesson the student will be able to: recognise that there are different time zones, compare time zones, understand daylight saving and adjust times accordingly, and determine the local time in different regions. |
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| 4 | Fractions | Finding equivalent fractions | Info | Go |
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Objective: On completion of the lesson the student will be able to name and find fractions that represent equal amounts between halves, quarters and eighths - using diagrams and number lines. |
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| 5 | Rules properties | Using Order of Operation procedures (BODMAS) with Fractions | Info | Go |
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Objective: On completion of the lesson the student will know how to apply the order of operations rules to simplify expressions with integers and fractions. |
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| 6 | Algebraic fractions | Simplifying algebraic fractions using the index laws. | Info | Go |
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Objective: On completion of the lesson the student will be able to simplify most algebraic fractions using different methodologies. |
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| 7 | Scientific notation | Scientific notation with larger numbers | Info | Go |
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Objective: On completion of the lesson the student will be able to change numbers greater than 1 to scientific notation. |
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| 8 | Scientific notation | Scientific notation with small numbers | Info | Go |
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Objective: On completion of the lesson the student will be able to change numbers between zero and 1 to scientific notation. |
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| 9 | Scientific notation | Changing scientific notation to numerals | Info | Go |
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Objective: On completion of the lesson the student will be able to change numbers written in scientific notation to basic numerals and be capable of solving problems on the calculator in scientific notation. |
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| 10 | 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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| 11 | Area | Larger areas: square metre, hectare, square kilometre. | Info | Go |
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Objective: On completion of the lesson the student will be able to calculate larger areas using the correct square unit. |
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| 12 | Volume | Introducing the formula for volume. | Info | Go |
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Objective: On completion of the lesson the student will be able to: derive the formula for the volume of prisms, and calculate the area of prisms using the volume formula. |
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| 13 | Volume | Using the cubic metre to measure volume. | Info | Go |
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Objective: On completion of the lesson the student will be able to: recognise the need for a unit larger than the cubic centimetre, use the cubic metre as a formal unit for measuring large volumes, and explain why volume is measured in cubic metres in certain situat |
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| 14 | Volume | Solving Problems about Volume - Part 1. | Info | Go |
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Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms. |
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| 15 | Volume | Solving Problems about Volume - Part 2. | Info | Go |
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Objective: On completion of the lesson the student will be able to apply strategies to solve problems using rectangular prisms and larger unit. |
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| 16 | Weight/mass | The gram and net mass | Info | Go |
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Objective: On completion of the lesson the student will understand: why there's a zero button on digital scales, how to zero some other types of scales, and also how to measure mass in grams. |
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| 17 | Weight/mass | The tonne - converting units and problems | Info | Go |
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Objective: On completion of the lesson the student should be able to: choose the correct unit to measure the mass of small, medium or large objects, and convert measurements from one unit to another. |
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| 18 | Area | Area of a trapezium. | Info | Go |
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Objective: On completion of the lesson the student will be able calculate the area of all types of different shaped trapeziums using a given formula. |
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| 19 | Area | Area of a rhombus. | Info | Go |
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Objective: On completion of the lesson the student will be able to: identify a rhombus, learn how to find the formula for the area of a rhombus, and use it in solving problems. |
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| 20 | Area | Area of a circle. | Info | Go |
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Objective: On completion of the lesson the student will be able calculate the area of a circle, and also calculate the radius and diameter of a circle. |
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| 21 | Area | Area of regular polygons and composite figures. | Info | Go |
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Objective: On completion of the lesson the student will be able calculate the area of a number of different shapes by applying the appropriate formula. |
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| 22 | Volume | Volume of pyramids and cones. | Info | Go |
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Objective: On completion of the lesson the student will be able to: use formulae to find the volume of right pyramids and cones, and calculate the volume of a variety of pyramids and cones. |
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| 23 | Volume | Composite solids. | Info | Go |
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Objective: On completion of the lesson the student will be able to: dissect composite solids into simpler shapes so that the volume can be calculated, calculate the volume of a variety of composite solids, and use formulae appropriately. |
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| 24 | 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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| 25 | 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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| 26 | Money | Problems involving money | Info | Go |
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Objective: On completion of the lesson the student will be able to solve problems with money. |
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| 27 | 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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| 28 | 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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| 29 | Algebraic expressions | Simplifying Algebraic expressions: combining addition and subtraction. | Info | Go |
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Objective: On completion of the lesson the student will understand how to approach algebraic expressions questions and avoid the most common mistakes. |
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| 30 | 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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| 31 | 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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| 32 | 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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| 33 | 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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| 34 | 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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| 35 | 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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| 36 | 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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| 37 | 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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| 38 | 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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| 39 | 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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| 40 | 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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| 41 | Pythagoras | Calculating a leg of a right-angled triangle | Info | Go |
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Objective: On completion of this lesson the student will be able to use Pythagoras' Theorem to calculate the length of one of the shorter sides of a right triangle. |
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| 42 | Pythagoras | Proofs of Pythagoras theorem | Info | Go |
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Objective: On completion of this lesson the student will have geometric proofs for Pythagoras' Theorem |
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| 43 | 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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| 44 | 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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| 45 | 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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| 46 | 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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| 47 | 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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| 48 | Trigonometry-ratios | Unknown in the denominator. [Case 4]. | Info | Go |
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Objective: On completion of the lesson the student will understand how to use the trig ratios to calculate lengths and distances when the denominator is unknown. |
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| 49 | 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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| 50 | Trigonometry-elevation | Angles of elevation and depression. | Info | Go |
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Objective: On completion of the lesson the student will be able to identify angles of depression and angles of elevation, and the relationship between them. |
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| 51 | Trigonometry-practical | Trigonometric ratios in practical situations. | Info | Go |
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Objective: On completion of the lesson the student will be able to use trigonometric ratios to solve problems involving compass bearings and angles of depression and elevation. |
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| 52 | Trigonometry-ratios | Using the calculator to find an angle given a trigonometric ratio. | Info | Go |
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Objective: On completion of the lesson the student will be capable of using a calculator to find the value of an unknown angle when given a trigonometric ratio. |
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| 53 | Trigonometry- ratios | Using the trigonometric ratios to find an angle in a right-angled triangle. | Info | Go |
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Objective: On completion of the lesson the student will be able to find the value of an unknown angle in a right angle triangle given the lengths of 2 of the sides. |
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| 54 | 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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| 55 | 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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| 56 | 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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| 57 | 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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| 58 | Exam | Exam - Grade 12 - Maths at Work 2/3 | Info | Go |
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Objective: Exam |
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