| # | TOPIC | TITLE | +/- | |
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| 1 | Study Plan | Study plan - Grade 12 - Mathematics Applied 3/4 | 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 | 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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| 3 | 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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| 4 | 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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| 5 | 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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| 6 | 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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| 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 | 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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| 12 | 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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| 13 | 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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| 14 | Simultaneous equns | Applications of simultaneous equations | Info | Go |
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Objective: On completion of this lesson the student will be able to derive simultaneous equations from a given problem and then solve those simultaneous equations. |
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| 15 | 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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| 16 | 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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| 17 | 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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| 18 | 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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| 19 | Algebraic expressions | Algebraic expressions. | Info | Go |
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Objective: On completion of the lesson the student will understand some of the short cuts used in writing algebraic expressions, and the student will be able to write algebraic expressions down in a way that is easier to understand. |
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| 20 | Algebraic expressions | Substitution into algebraic expressions. | Info | Go |
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Objective: On completion of the lesson the student will be able to replace pronumerals with numbers, and then perform the correct operations. |
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| 21 | 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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| 22 | Lines and angles | Main and intermediate compass points | Info | Go |
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Objective: On completion of the lesson the student will be able to use main and intermediate compass points to specify location. |
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| 23 | 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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| 24 | 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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| 25 | 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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| 26 | 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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| 27 | 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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| 28 | 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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| 29 | 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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| 30 | Trigonometry-cosine rule | The cosine rule to find an unknown side. [Case 1 SAS]. | Info | Go |
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Objective: On completion of the lesson the student will be able to use the cosine rule to find the length of an unknown side of a triangle knowing 2 sides and the included angle. |
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| 31 | Trigonometry-cosine rule | The cosine rule to find an unknown angle. [Case 2 SSS]. | Info | Go |
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Objective: On completion of the lesson the student will be able to find the size of an unknown angle of a triangle using the cosine rule given the lengths of the 3 sides. |
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| 32 | Trigonometry-sine rule | The sine rule to find an unknown side. Case 1. | Info | Go |
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Objective: On completion of the lesson the student will be able to use the Sine rule to find the length of a particular side when the student is given the sizes of 2 of the angles and one of the sides. |
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| 33 | Trigonometry-sine rule | The sine rule to find an unknown angle. Case 2. | Info | Go |
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Objective: On completion of the lesson the student will be able to use the sine rule to find an unknown angle when given 2 sides and a non-included angle. |
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| 34 | Trigonometry-areas | The area formula | Info | Go |
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Objective: On completion of the lesson the student will be able to use the sine formula for finding the area of a triangle given 2 sides and the included angle. |
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| 35 | Quadratic equations | Introduction to quadratic equations. | Info | Go |
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Objective: On completion of the lesson the student will understand simple quadratic equations. |
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| 36 | Quadratic equations | Quadratic equations with factorisation. | Info | Go |
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Objective: On completion of the lesson the student will be able to find both roots of a quadratic equation by factorising. |
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| 37 | Quadratic equations | Solving quadratic equations. | Info | Go |
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Objective: On completion of the lesson the student will have gained more confidence in working with quadratic equations. |
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| 38 | Quadratic equations | Solving quadratic equations by completing the square | Info | Go |
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Objective: On completion of the lesson the student will understand the reasoning behind completing the square. |
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| 39 | Quadratic equations | The quadratic formula | Info | Go |
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Objective: On completion of the lesson the student will be familiar with the quadratic formula. |
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| 40 | Quadratic equations | Problem solving with quadratic equations | Info | Go |
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Objective: On completion of the lesson the student will be able to express a problem as a quadratic equation and then solve it. |
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| 41 | Quadratic equations | Solving simultaneous quadratic equations graphically | Info | Go |
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Objective: On completion of the lesson the student will better understand why quadratic equations have two solutions and will be capable of solving quadratic equations and problems graphically.. |
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| 42 | 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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| 43 | 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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| 44 | 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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| 45 | Statistic-probability | Experimental probability | Info | Go |
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Objective: On completion of this lesson the student will be able to find the probabilities in an experimental trial. |
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| 46 | Statistic-probability | Tree diagrams - not depending on previous outcomes | Info | Go |
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Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of a multi stage probability problem and then finding probabilities of certain events not depending on previous outcomes. |
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| 47 | Statistic-probability | Tree diagrams - depending on previous outcomes | Info | Go |
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Objective: On completion of the lesson the student will be confident in drawing tree diagrams to list outcomes of other multi stage probability problems and then finding probabilities of certain events depending on previous outcomes. |
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| 48 | Statistic-probability | The complementary result .. | Info | Go |
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Objective: On completion of the lesson the student will be capable of ascertaining the probability of certain results where the complementary event is involved. |
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| 49 | Statistic-probability | P[A or B] When A and B are NOT mutually exclusive | Info | Go |
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Objective: On completion of this lesson the student will be able to distinguish between mutually exclusive and non mutually exclusive events and be able to find the probabilities of both. |
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| 50 | Simultaneous equations | Number of solutions (Stage 2) | Info | Go |
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Objective: On completion of the lesson of the lesson the student will identify simultaneous equations that are consistent, inconsistent or the same. |
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| 51 | Vectors | 2 vector addition in 2 and 3D (stage 2) | Info | Go |
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Objective: On completion of the lesson the student will understand and use component forms for vector resolution. |
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| 52 | Linear systems | Optimal solutions (Stage 2) | Info | Go |
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Objective: On completion of the lesson the student will understand the process of linear programming to find optimal solutions. |
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| 53 | Exponential function | The exponential function. | Info | Go |
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Objective: On completion of the lesson the student will be able to graph any equation in the form y equals a to the power x, where a is any positive real number apart from 1. |
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| 54 | Statistics - grouped data | Calculating mean, mode and median from grouped data | Info | Go |
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Objective: On completion of the lesson the student will be capable of identifying class centres, get frequency counts and determine the mean and mode values. |
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| 55 | Statistics using a calculator | Statistics and the student calculator | Info | Go |
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Objective: On completion of the lesson the student will be capable of using a scientific calculator in statistics mode to calculate answers to statistical problems. |
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| 56 | Statistics - Range and dispersion | Range as a measure of dispersion | Info | Go |
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Objective: On completion of the lesson the student will be able to determine the range and using it in decision making. |
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| 57 | Statistics - Spread | Measures of spread | Info | Go |
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Objective: On completion of the lesson the student will be able to find the standard deviation, using a data set or a frequency distribution table and calculator. |
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| 58 | Statistics - Standard deviation | Standard deviation applications | Info | Go |
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Objective: On completion of the lesson the student will be able to use standard deviation as a measure of deviation from a mean. |
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| 59 | Statistics - Standard deviation | Normal distribution | Info | Go |
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Objective: On completion of the lesson the student will be able to use the standard deviation of a normal distribution to find the percentage of scores within ranges. |
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| 60 | Statistics - Interquartile range | Measures of spread: the interquartile range | Info | Go |
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Objective: On completion of the lesson the student will be able to find the upper and lower quartiles and the interquartile range |
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| 61 | Statistics | Stem and Leaf Plots along with Box and Whisker Plots | Info | Go |
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Objective: On completion of the lesson the student will be familiar with vocabulary for statistics including quartiles, mode, median, range and the representation of this information on a Box and Whisker Plot. |
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| 62 | Statistics | Scatter Plots | Info | Go |
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Objective: On completion of the lesson the student will be able to construct scatter plots and draw conclusions from these. |
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| 63 | Trig-reciprocal ratios | Reciprocal ratios. | Info | Go |
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Objective: On completion of the lesson the student will be able to identify and use the reciprocal trigonometric ratios of sine, cosine and tan, that is, the cosecant, secant and cotangent ratios. |
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| 64 | Trig complementary angles | Complementary angle results. | Info | Go |
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Objective: On completion of the lesson the student will understand how to establish the complementary angle results for the sine and cosine ratios and then how to use these results to solve trig equations. |
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| 65 | Trig larger angles | Angles of any magnitude | Info | Go |
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Objective: On completion of the lesson the student will be able to find the trigonometric values of angles of any magnitude by assigning angles to the four quadrants of the circle. |
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| 66 | 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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| 67 | Exam | Exam - Grade 12 - Mathematics Applied 3/4 | Info | Go |
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Objective: Exam |
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