| 1 |
Study Plan |
Study plan – Year 11 Methods |
| Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. |
| 2 |
Data |
Bar Charts |
| Objective: On completion of the lesson the student will be able to organise, read and summarise information in column graphs. |
| 3 |
Data |
Line graphs. |
| Objective: On completion of the lesson the student will be able to organise, read and summarise information in line graphs. |
| 4 |
Data |
Pie and bar graphs. |
| Objective: On completion of the lesson the student will be able to organise, read and summarise information in pie and bar graphs. |
| 5 |
Statistics |
Frequency distribution table |
| Objective: On completion of the lesson the student will be able to construct a frequency distribution table for raw data and interpret the table. |
| 6 |
Statistics |
Frequency histograms and polygons |
| Objective: On completion of the lesson the student will be able to construct and interpret frequency histograms and polygons. |
| 7 |
Statistics |
Relative frequency |
| Objective: On completion of the lesson the student will be able to collect, display and make judgements about data. |
| 8 |
Statistics |
The range. |
| 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. |
| 9 |
Statistic-probability |
The mode |
| Objective: On completion of the lesson the student will understand how to find the mode from raw data, a frequency distribution table and polygon. |
| 10 |
Statistic-probability |
The mean |
| 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. |
| 11 |
Statistic-probability |
The median |
| Objective: On completion of the lesson the student will be able to determine the median of a set of raw scores |
| 12 |
Statistic-probability |
Cumulative frequency |
| Objective: On completion of the lesson the student will be able to construct cumulative frequency columns, histograms and polygons. |
| 13 |
Statistic-probability |
Calculating the median from a frequency distribution |
| Objective: On completion of the lesson the student will be able to determine the median from a cumulative frequency polygon. |
| 14 |
Statistics – grouped data |
Calculating mean, mode and median from grouped data |
| 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. |
| 15 |
Statistics using a calculator |
Statistics and the student calculator |
| 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. |
| 16 |
Statistics – Range and dispersion |
Range as a measure of dispersion |
| Objective: On completion of the lesson the student will be able to determine the range and using it in decision making. |
| 17 |
Statistics – Spread |
Measures of spread |
| 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. |
| 18 |
Statistics – Standard deviation |
Standard deviation applications |
| Objective: On completion of the lesson the student will be able to use standard deviation as a measure of deviation from a mean. |
| 19 |
Statistics – Standard deviation |
Normal distribution |
| 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. |
| 20 |
Statistics – Interquartile range |
Measures of spread: the interquartile range |
| Objective: On completion of the lesson the student will be able to find the upper and lower quartiles and the interquartile range |
| 21 |
Statistics |
Stem and Leaf Plots along with Box and Whisker Plots |
| 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. |
| 22 |
Statistics |
Scatter Diagrams |
| Objective: On completion of the lesson the student will be able to construct scatter plots and draw conclusions from these. |
| 23 |
Length |
Using the formal unit of the centimetre to measure length and perimeter |
| Objective: On completion of the lesson the student will be able to measure length and perimeter in centimetres. |
| 24 |
Area |
Area of a circle. |
| 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. |
| 25 |
Area |
Area of regular polygons and composite figures. |
| 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. |
| 26 |
Tessellating 2-D shapes |
Use grids to enlarge/reduce 2D shapes |
| Objective: On completion of the lesson the student will be able to use grids to enlarge or reduce two dimensional shapes and also to recognise shapes that will and won’t tessellate. |
| 27 |
Geometry-angles |
Measuring angles |
| 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. |
| 28 |
Geometry-constructions |
Geometric constructions |
| Objective: On completion of the lesson the student will able complete constructions with a ruler and a pair of compasses. |
| 29 |
Pythagoras |
Find the hypotenuse |
| Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of the hypotenuse. |
| 30 |
Pythagoras |
Pythagorean triples |
| Objective: On completion of the lesson the student will be able to use the 3-4-5 Pythagorean triple. |
| 31 |
Pythagoras |
Find the hypotenuse Part 2 |
| Objective: On completion of this lesson the student will be able to use Pythagoras’ Theorem to calculate the length of the hypotenuse using decimals and surds. |
| 32 |
Pythagoras |
Calculating a leg of a right-angled triangle |
| 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. |
| 33 |
Trigonometry-ratios |
Trigonometric ratios. |
| 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 |
| 34 |
Trigonometry-ratios |
Using the calculator. |
| 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. |
| 35 |
Trigonometry-ratios |
Using the trigonometric ratios to find unknown length. [Case 1 Sine]. |
| Objective: On completion of the lesson the student will be able to use the sine ratio to calculate lengths and distances. |
| 36 |
Trigonometry-ratios |
Using the trigonometric ratios to find unknown length. [Case 2 Cosine]. |
| 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. |
| 37 |
Trigonometry-ratios |
Using the trigonometric ratios to find unknown length. [Case 3 Tangent Ratio]. |
| 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. |
| 38 |
Trigonometry-ratios |
Unknown in the denominator. [Case 4]. |
| 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. |
| 39 |
Trigonometry-compass |
Bearings – the compass. |
| 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. |
| 40 |
Trigonometry-elevation |
Angles of elevation and depression. |
| 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. |
| 41 |
Trigonometry-practical |
Trigonometric ratios in practical situations. |
| 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. |
| 42 |
Trigonometry-ratios |
Using the calculator to find an angle given a trigonometric ratio. |
| 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. |
| 43 |
Trigonometry- ratios |
Using the trigonometric ratios to find an angle in a right-angled triangle. |
| 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. |
| 44 |
Trigonometry-exact ratios |
Trigonometric ratios of 30., 45. and 60. – exact ratios. |
| Objective: On completion of the lesson the student will be able to find the exact sine, cosine and tangent ratios for the angles 30., 45.and 60. |
| 45 |
Trigonometry-cosine rule |
The cosine rule to find an unknown side. [Case 1 SAS]. |
| 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. |
| 46 |
Trigonometry-cosine rule |
The cosine rule to find an unknown angle. [Case 2 SSS]. |
| 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. |
| 47 |
Trigonometry-sine rule |
The sine rule to find an unknown side. Case 1. |
| 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. |
| 48 |
Trigonometry-sine rule |
The sine rule to find an unknown angle. Case 2. |
| 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. |
| 49 |
Trigonometry-areas |
The area formula |
| 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. |
| 50 |
Lines and angles |
Informal coordinate system |
| Objective: On completion of the lesson the student will be able to use an informal coordinate system to specify location, and locate coordinate points on grid paper. |
| 51 |
Coordinate Geometry-the plane |
Distance formula. |
| 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. |
| 52 |
Coordinate Geometry-midpoint, slope |
Mid-point formula |
| Objective: On completion of the lesson the student will be able to understand the mid point formula and use it practically. |
| 53 |
Coordinate Geometry-gradient |
Gradient |
| 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. |
| 54 |
Coordinate Geometry-gradient |
Gradient formula. |
| 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. |
| 55 |
Coordinate Geometry-straight line |
The straight line. |
| 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. |
| 56 |
Coordinate Geometry-slope, etc. |
Lines through the origin. |
| 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. |
| 57 |
Coordinate Geometry-equation of line |
General form of a line and the x and y Intercepts. |
| 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. |
| 58 |
Coordinate Geometry-intercept |
Slope intercept form of a line. |
| 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. |
| 59 |
Coordinate Geometry-point slope |
Point slope form of a line |
| 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. |
| 60 |
Graphing-polynomials |
General equation of a circle: determine and graph the equation |
| Objective: On completion of the lesson the student will be able to solve these types of problems. Working with circles will also help the student in the topic of circle geometry, which tests the student’s skills in logic and reasoning. |
| 61 |
Conic sections |
Circles |
| Objective: On completion of the lesson the student will identify the radius of a circle given in standard form. |
| 62 |
Rect.hyperbola |
The rectangular hyperbola. |
| Objective: On completion of the lesson the student will be able to analyse and graph a rectangular hyperbola and describe its important features. |
| 63 |
Functions |
Definition, domain and range |
| Objective: On completion of this lesson the student will be able to select functions from relations by referring to the domain and range. |
| 64 |
Conic sections |
Hyperbola |
| Objective: On completion of the lesson the student will identify focus, vertices, axes and asymptotes of a hyperbola. |
| 65 |
Linear systems |
Optimal solutions (Stage 2) – Vectors |
| Objective: On completion of the lesson the student will understand the process of linear programming to find optimal solutions. |
| 66 |
Geometry-locus |
Constructions and loci – single condition |
| Objective: On completion of the lesson the student will understand the term locus and describe several using a single condition. |
| 67 |
Geometry-locus |
Constructions and loci – multiple conditions |
| Objective: On completion of the lesson the student will describe a locus that satisfies multiple conditions on a number plane. |
| 68 |
Co-ordinate Geometry-Two point formula |
Two point formula: equation of a line which joins a pair of points. |
| Objective: On completion of the lesson the student will be able to calculate the equation of a line given any two named points on the line. |
| 69 |
Co-ordinate Geometry-Intercept form |
Intercept form of a straight line: find the equation when given x and y |
| Objective: On completion of the lesson the student will have an effective and efficient method for calculating the equation of a straight line. |
| 70 |
Co-ordinate Geometry-Parallel lines equations |
Parallel lines: identify equation of a line parallel to another |
| Objective: On completion of the lesson the student will be able to decide if two or more lines are parallel or not and to solve problems involving parallel lines. |
| 71 |
Co-ordinate Geometry-Perpendicular lines |
Perpendicular lines. |
| Objective: On completion of the lesson the student will be able to derive the equation of a line, given that it is perpendicular to another stated line. |
| 72 |
Co-ordinate Geometry-Inequalities |
Inequalities on the number plane. |
| Objective: On completion of the lesson the student will be able to derive the expression for an inequality given its graph. The student will also be able to solve some problems using inequalities. |
| 73 |
Co-ordinate Geometry-Theorems |
Perpendicular distance |
| Objective: On completion of the lesson the student will be able to derive the formula to calculate the distance between a given point and a given line. The student will also be able to calculate the distance between parallel lines. |
| 74 |
Co-ordinate Geometry-Theorems |
Line through intersection of two given lines |
| Objective: On completion of the lesson the student will be able to calculate the equation of a line which goes through the intersection of two given lines and also through another named point or satisfies some other specified condition. |
| 75 |
Co-ordinate Geometry-Theorems |
Internal and external division of an interval |
| Objective: On completion of the lesson the student will be able to divide an interval according to a given ratio and to calculate what point divides an interval in a given ratio for both internal and external divisions. |
| 76 |
Logarithms-Power of 2 |
Powers of 2. |
| Objective: On completion of the lesson the student should be able to convert between logarithmic statements and index statements to the power of 2. |
| 77 |
Logarithms-Equations and logs |
Equations of type log x to the base 3 = 4. |
| Objective: On completion of the lesson the student will have an enhanced understanding of the definition of a logarithm and how to use it to find an unknown variable which in this case is the number from which the logarithm evolves. |
| 78 |
Logarithms-Equations and logs |
Equations of type log 32 to the base x = 5. |
| Objective: On completion of the lesson the student will have an enhanced understanding of the definition of a logarithm and how to use it to find an unknown variable which in this case is the base from which the number came. |
| 79 |
Logarithms-Log laws |
Laws of logarithms. |
| Objective: On completion of the lesson the student will be familiar with 5 logarithm laws. |
| 80 |
Logarithms-Log laws expansion |
Using the log laws to expand logarithmic expressions. |
| Objective: On completion of the lesson the student will be able to use the log laws to expand logarithmic expressions. |
| 81 |
Logarithms-Log laws simplifying |
Using the log laws to simplify expressions involving logarithms. |
| Objective: On completion of the lesson the student will be able to simplify logarithmic expressions using the log laws. |
| 82 |
Logarithms-Log laws numbers |
Using the log laws to find the logarithms of numbers. |
| Objective: On completion of the lesson the student will have an enhanced understanding of the use of the log laws and be able to do more applications with numerical examples. |
| 83 |
Logarithms-Equations and logs |
Equations involving logarithms. |
| Objective: On completion of the lesson the student will be able to solve equations with log terms. |
| 84 |
Logarithms-Logs to solve equations |
Using logarithms to solve equations. |
| Objective: On completion of the lesson the student will be able to use logarithms to solve index equations with the assistance of a calculator. |
| 85 |
Logarithms-Change base formula |
Change of base formula |
| Objective: On completion of the lesson the student will have seen the change of base formula for logarithms and be capable of using it to change the logarithm of one base to another base. |
| 86 |
Logarithms-Graph-log curve |
The graph of the logarithmic curve |
| Objective: On completion of the lesson the student will be able to draw a logarithmic curve to a given base and know the general properties of log curves. |
| 87 |
Logarithms-Log curves |
Working with log curves. |
| Objective: On completion of the lesson the student will be able to solve problems with log curves |
| 88 |
Exponential function |
The exponential function. |
| 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. |
| 89 |
Log functions |
Logarithmic functions. |
| Objective: On completion of this lesson the student will be able to define basic logarithmic functions and describe the relationship between logarithms and exponents including graph logarithmic functions. The student will understand the relationship between logarit |
| 90 |
Sequences and Series |
General sequences. |
| Objective: On completion of the lesson the student will be able to work out a formula from a given number pattern and then be able to find particular terms of that sequence using the formula. |
| 91 |
Sequences and Series |
Finding Tn given Sn. |
| Objective: On completion of the lesson the student will understand the concept that the sum of n terms of a series minus the sum of n minus one terms will yield the nth term. |
| 92 |
Arithmetic Progression |
The arithmetic progression |
| Objective: On completion of the lesson the student will be able to test if a given sequence is an Arithmetic Progression or not and be capable of finding a formula for the nth term, find any term in the A.P. and to solve problems involving these concepts. |
| 93 |
Arithmetic Progression |
Finding the position of a term in an A.P. |
| Objective: On completion of the lesson the student will be able to solve many problems involving finding terms of an Arithmetic Progression. |
| 94 |
Arithmetic Progression |
Given two terms of A.P., find the sequence. |
| Objective: On completion of the lesson the student will be able to find any term of an Arithmetic Progression when given two terms |
| 95 |
Arithmetic Progression |
Arithmetic means |
| Objective: On completion of the lesson the student will be able to make an arithmetic progression between two given terms. This could involve finding one, two, or even larger number of arithmetic means. |
| 96 |
Arithmetic Progression |
The sum to n terms of an A.P. |
| Objective: On completion of the lesson the student will understand the formulas for the sum of an Arithmetic Progression and how to use them in solving problems. |
| 97 |
Geometric Progression |
The geometric progression. |
| Objective: On completion of the lesson the student will be able to test if a given sequence is a Geometric Progression or not and be capable of finding a formula for the nth term, find any term in the G.P. and to solve problems involving these concepts. |
| 98 |
Geometric Progression |
Finding the position of a term in a G.P. |
| Objective: On completion of the lesson the student will understand how to find terms in a geometric progression and how to apply it different types of problems. |
| 99 |
Geometric Progression |
Given two terms of G.P., find the sequence. |
| Objective: On completion of this lesson the student will be able to solve all problems involving finding the common ratio of a Geometric Progression. |
| 100 |
Sequences and Series-Geometric means |
Geometric means. |
| Objective: On completion of the lesson the student will be able to make a geometric progression between two given terms. This could involve finding one, two, or even larger number of geometric means. |
| 101 |
Sequences and Series-Sum of gp |
The sum to n terms of a G.P. |
| Objective: On completion of the lesson the student will understand the formulas and how to use them to solve problems in summing terms of a Geometric Progression (G.P). |
| 102 |
Sequences and Series-Sigma notation |
Sigma notation |
| Objective: On completion of the G.P. lesson the student will be familiar with the sigma notation and how it operates. |
| 103 |
Sequences and Series-Sum-infinity |
Limiting sum or sum to infinity. |
| Objective: On completion of the lesson the student will have learnt the formula for the limiting sum of a G.P., the conditions for it to exist and how to apply it to particular problems. |
| 104 |
Sequences and Series-Recurring decimal infinity |
Recurring decimals and the infinite G.P. |
| Objective: On completion of the G.P. lesson the student will have understood how to convert any recurring decimal to a rational number. |
| 105 |
Sequences and Series-Compound interest |
Compound interest |
| 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. |
| 106 |
Sequences and Series-Superannuation |
Superannuation. |
| 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. |
| 107 |
Sequences and Series-Time payments |
Time payments. |
| 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. |
| 108 |
Sequences and Series |
Applications of arithmetic sequences |
| Objective: On completion of the lesson the student will be capable of problems involving practical situations with arithmetic series. |
| 109 |
Factors by grouping |
Factors by grouping. |
| Objective: On completion of the lesson the student will be able to complete the process given just two factors for the whole expression. |
| 110 |
Difference of 2 squares |
Difference of two squares |
| Objective: On completion of the lesson the student understand the difference of two squares and be capable of recognising the factors. |
| 111 |
Common fact and diff |
Common factor and the difference of two squares |
| Objective: On completion of the lesson the student will be aware of common factors and recognise the difference of two squares. |
| 112 |
Quadratic trinomials |
Quadratic trinomials [monic] – Case 1. |
| Objective: On completion of the lesson the student will understand the factorisation of quadratic trinomial equations with all terms positive. |
| 113 |
Factorising quads |
Factorising quadratic trinomials [monic] – Case 2. |
| Objective: On completion of the lesson the student will accurately identify the process if the middle term of a quadratic trinomial is negative. |
| 114 |
Factorising quads |
Factorising quadratic trinomials [monic] – Case 3. |
| Objective: On completion of the lesson the student will have an increased knowledge on factorising quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative. |
| 115 |
Factorising quads |
Factorising quadratic trinomials [monic] – Case 4. |
| Objective: On completion of the lesson the student will understand how to factorise all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative. |
| 116 |
Factorising quads |
Factorisation of non-monic quadratic trinomials |
| Objective: On completion of the lesson the student will be capable of factorising any quadratic trinomial. |
| 117 |
Factorising quads |
Factorisation of non-monic quadratic trinomials – moon method |
| Objective: On completion of the lesson the student know two methods for factorisation of quadratic trinomials including the cross method. |
| 118 |
Surds |
Binomial expansions |
| Objective: On completion of the lesson the student will be able to expand and simplify the squares of binomial sums and differences involving surds. |
| 119 |
Surds |
Conjugate binomials with surds |
| Objective: On completion of the lesson the student will be able to expand and simplify conjugate binomial expressions involving surds. |
| 120 |
Surds |
Rationalising the denominator |
| Objective: On completion of the lesson the student will be able to rationalise denominators of fractions where the denominator involves surds. |
| 121 |
Surds |
Rationalising binomial denominators |
| Objective: On completion of the lesson the student will be able to rationalise denominators of fractions where the denominator involves binomial expressions. |
| 122 |
Quadratic equations |
Introduction to quadratic equations. |
| Objective: On completion of the lesson the student will understand simple quadratic equations. |
| 123 |
Quadratic equations |
Quadratic equations with factorisation. |
| Objective: On completion of the lesson the student will be able to find both roots of a quadratic equation by factorising. |
| 124 |
Quadratic equations |
Solving quadratic equations. |
| Objective: On completion of the lesson the student will have gained more confidence in working with quadratic equations. |
| 125 |
Quadratic equations |
Completing the square |
| Objective: On completion of the lesson the student will understand the process of completing the square. |
| 126 |
Quadratic equations |
Solving quadratic equations by completing the square |
| Objective: On completion of the lesson the student will understand the reasoning behind completing the square. |
| 127 |
Quadratic equations |
The quadratic formula |
| Objective: On completion of the lesson the student will be familiar with the quadratic formula. |
| 128 |
Quadratic equations |
Problem solving with quadratic equations |
| Objective: On completion of the lesson the student will be able to express a problem as a quadratic equation and then solve it. |
| 129 |
Quadratic equations |
Solving simultaneous quadratic equations graphically |
| 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.. |
| 130 |
Geometry-parabola |
The parabola: to describe properties of a parabola from its equation |
| Objective: On completion of the lesson the student will be able to predict the general shape and important features of a parabola and then graph the parabola to check the predictions. |
| 131 |
Functions and graphs |
Quadratic polynomials of the form y = ax. + bx + c. |
| 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. |
| 132 |
Functions and graphs |
Graphing perfect squares: y=(a-x) squared |
| Objective: On completion of the lesson the student will be able to analyse a curve and then check their work by graphing the curve. |
| 133 |
Graphing roots |
Graphing irrational roots |
| Objective: On completion of the lesson the student will be able to solve any polynomial which has real roots, whether they are rational or irrational. |
| 134 |
Coordinate geometry |
Solve by graphing |
| Objective: On completion of the lesson students will use the slope intercept form of a line to create graphs and find points of intersection. |
| 135 |
Graphing-polynomials |
Graphing complex polynomials: quadratics with no real roots |
| Objective: On completion of the lesson the student will be able to determine whether a quadratic has real or complex roots and then graph it. |
| 136 |
Sum/diff 2 cubes |
Sum and difference of two cubes. |
| Objective: On completion of the lesson the student will be cognisant of the sum and difference of 2 cubes and be capable of factorising them. |
| 137 |
Logarithms-Complex numbers |
Imaginary numbers and standard form |
| Objective: On completion of the lesson the student will use the a+bi form of complex numbers for addition and subtraction. |
| 138 |
Logarithms-Complex numbers |
Complex numbers – multiplication and division |
| Objective: On completion of the lesson the student will use the a+bi form of complex numbers for multiplication and division. |
| 139 |
Logarithms-Complex numbers |
Plotting complex number and graphical representation |
| Objective: On completion of the lesson the student will use the argand diagram to assist in the addition and subtraction of complex numbers. |
| 140 |
Algebra-polynomials |
Introduction to polynomials |
| Objective: On completion of the lesson the student will understand all the terminology associated with polynomials and be able to judge if any algebraic expression is a polynomial or not. |
| 141 |
Algebra-polynomials |
The sum, difference and product of two polynomials. |
| Objective: On completion of the lesson the student will be able to add subtract and multiply polynomials and find the degrees of the answers. |
| 142 |
Algebra-polynomials |
Polynomials and long division. |
| Objective: On completion of the lesson the student will understand the long division process with polynomials. |
| 143 |
Remainder theorem |
The remainder theorem. |
| Objective: On completion of the lesson the student will understand how the remainder theorem works and how it can be applied. |
| 144 |
Remainder theorem |
More on remainder theorem |
| Objective: On completion of the lesson the student will understand the remainder theorem and how it can be applied to solve some interesting questions on finding unknown coefficients of polynomials. |
| 145 |
Factor theorem |
The factor theorem |
| Objective: On completion of the lesson the student will be able to use the factor theorem and determine if a term in the form of x minus a is a factor of a given polynomial. |
| 146 |
Factor theorem |
More on the factor theorem |
| Objective: On completion of the lesson the student will fully understand the factor theorem and how it can be applied to solve some questions on finding unknown coefficients of polynomials. |
| 147 |
Factor theorem |
Complete factorisations using the factor theorem |
| Objective: On completion of the lesson the student will be able to factorise polynomials of a higher degree than 2 and to find their zeros. |
| 148 |
Polynomial equations |
Polynomial equations |
| Objective: On completion of the lesson the student will be capable of solving polynomial equations given in different forms. |
| 149 |
Graphs, polynomials |
Graphs of polynomials |
| Objective: On completion of the lesson the student will understand how to graph polynomials using the zeros of polynomials, the y intercepts and the direction of the curves. |
| 150 |
Roots quad equations |
Sum and product of roots of quadratic equations |
| Objective: On completion of the lesson the student will understand the formulas for the sum and product of roots of quadratic polynomials and how to use them. The student will understand how to form a quadratic equation given its roots. |
| 151 |
Roots quad equations |
Sum and product of roots of cubic and quartic equations |
| Objective: On completion of the lesson the student will be able to do problems on the sum and products of roots of cubic and quartic equations. |
| 152 |
Functions |
Notation and evaluations |
| Objective: On completion of the lesson the student will be understand different notations for functions. |
| 153 |
Functions |
More on domain and range |
| Objective: On completion of the lesson the student will be able to describe the domain and range using appropriate set notation. |
| 154 |
Functions |
Domain and range from graphical representations |
| Objective: On completion of the lesson the student will be able to describe the domain and range using appropriate set notation from graphical representations. |
| 155 |
Functions |
Evaluating and graphing piecewise functions |
| Objective: On completion of the lesson the student will be able to evaluate and graph piecewise functions. |
| 156 |
Functions |
Functions combinations |
| Objective: On completion of the lesson the student will be able to perform operations with functions while working with their domains. |
| 157 |
Functions |
Composition of functions |
| Objective: On completion of the lesson the student will understand composition of functions or a function of a function. |
| 158 |
Simultaneous equns |
Simultaneous equations |
| Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the substitution method. |
| 159 |
Simultaneous equns |
Elimination method |
| Objective: On completion of the lesson the student will be able to solve 2 equations with 2 unknown variables by the elimination method. |
| 160 |
Simultaneous equns |
Elimination method part 2 |
| 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. |
| 161 |
Simultaneous equns |
Applications of simultaneous equations |
| 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. |
| 162 |
Graphing-cubic curves |
Graphing cubic curves |
| Objective: On completion of this lesson the student will be able to graph a cubic given its equation or derive the equation of a cubic given its graph or other relevant information. |
| 163 |
Absolute value equations |
Absolute value equations |
| Objective: On completion of this lesson the student will be able to relate to graphs involving the absolute value function. The student will be capable of graphing the function given its equation and be able to solve for the intersection of an absolute value functio |
| 164 |
Conic sections |
Introduction to conic sections and their general equation |
| Objective: On completion of the lesson the student will identify the conic section from the coefficients of the equation. |
| 165 |
Conic sections |
The parabola x. = 4ay |
| Objective: On completion of the lesson the student will identify the focus and directrix for a parabola given in standard form. |
| 166 |
Conic sections |
Ellipses |
| Objective: On completion of the lesson the student will identify focus, vertices and axes of an ellipse. |
| 167 |
Functions |
Inverse functions |
| Objective: On completion of the lesson the student will be able to find inverse functions, use the notation correctly and the horizontal line test will be used. |
| 168 |
Functions |
Rational functions Part 1 |
| Objective: On completion of the lesson the student will be able to work with the division of functions and to interpret this on the coordinate number plane showing vertical and horizontal asymptotes. |
| 169 |
Functions |
Rational functions Part 2 |
| Objective: On completion of the lesson the student will be able to use the degree of polynomials and polynomial division to assist in graphing rational functions on the coordinate number plane showing vertical, horizontal and slant asymptotes. |
| 170 |
Polar coordinates |
Plotting polar coordinates and converting polar to rectangular |
| Objective: On completion of the lesson the student will understand the polar coordinate system and relate this to the rectangular coordinate system. |
| 171 |
Polar coordinates |
Converting rectangular coordinates to polar form |
| Objective: On completion of the lesson the student will understand the polar coordinate system and report these from rectangular coordinates. |
| 172 |
Polar coordinates |
Write and graph points in polar form with negative vectors (Stage 2) |
| Objective: On completion of the lesson the student will be using negative angles and negative vector lengths. |
| 173 |
Exam |
Exam – Year 11 Methods |
| Objective: Exam |
