| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Study Plan | Study plan - Year 10/11 - Algebra II and Trigonometry | 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 | Decimals | Rounding Decimals | Info | Go |
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Objective: To round a number with one or two decimal places to the nearest whole number |
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| 3 | Decimals | Decimals to three decimal places | Info | Go |
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Objective: To express a number on a thousand as a decimal in thousandths |
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| 4 | Standard/Scientific notation | Scientific notation with larger numbers | Info | Go |
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Objective: To write large numbers in standard or scientific notation |
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| 5 | Standard/Scientific notation | Scientific notation with small numbers | Info | Go |
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Objective: To write small numbers in standard or scientific notation |
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| 6 | Standard/Scientific notation | Changing scientific notation to numerals | Info | Go |
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Objective: To interpret scientific notation by writing in base 10 numerals |
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| 7 | Standard/Scientific notation | Significant Figures | Info | Go |
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Objective: To write a number to a specified number of significant figures |
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| 8 | Logic | Inductive and Deductive Reasoning | Info | Go |
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Objective: To identify and use inductive and deductive reasoning |
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| 9 | Logic | Disproof of Counter Example | Info | Go |
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Objective: To identify a statement as a counter example to disprove a statement |
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| 10 | Logic | Proof by Disproof of a Contradictory Statement | Info | Go |
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Objective: To prove that a statement is true by proving that the contradictory statement is false |
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| 11 | Logic | Mathematical induction | Info | Go |
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Objective: To use proof by mathematical induction |
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| 12 | Logic | Conditional statements (converse, inverse and contrapositive) (Stage 2) | Info | Go |
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Objective: On completion of the lesson the student will be able to form related conditional statements. |
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| 13 | Algebra - Basic | Solving Equations Containing Binomial Expressions | Info | Go |
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Objective: To solve equations with binomial expressions on each side |
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| 14 | Algebra - Basic | Equations involving Grouping Symbols | Info | Go |
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Objective: To solve equations containing grouping symbols on each side |
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| 15 | Algebra - Basic | Equations involving fractions | Info | Go |
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Objective: To solve fraction equations with the unknown in either the numerator or denominator |
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| 16 | Algebra - Basic | Equations Resulting from Substitution into Formulae | Info | Go |
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Objective: To solve equations created by substituting values into formulae |
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| 17 | Algebra - Basic | Changing the Subject of the Formula | Info | Go |
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Objective: To change the subject of algebraic formulae using equation-solving techniques |
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| 18 | Algebra - Basic | Inequalities | Info | Go |
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Objective: To solve algebraic inequalities requiring (at times) change of direction of inequality sign |
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| 19 | Algebra - Basic | Simplifying easy algebraic fractions | Info | Go |
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Objective: To simplify simple algebraic fractions using cancellation of common factors |
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| 20 | Algebra - Basic | Simplifying algebraic fractions using the Index Laws | Info | Go |
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Objective: To use the index laws for division to simplify algebraic fractions |
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| 21 | Algebra - Basic | Algebraic fractions resulting in negative Indices | Info | Go |
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Objective: To simplify algebraic fractions using negative indices (as required) in the answer |
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| 22 | Algebra - Basic | Factorisation of algebraic fractions including binomials | Info | Go |
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Objective: To simplify algebraic fractions requiring the factorisation of binomial expressions |
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| 23 | Algebra - Basic | Cancelling binomial factors in algebraic fractions | Info | Go |
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Objective: To simplify algebraic fractions with binomials in both the numerator and denominator |
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| 24 | Absolute value | Evaluating Absolute Value Expressions | Info | Go |
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Objective: To evaluate numeric and algebraic expressions involving absolute value |
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| 25 | Absolute value | Solving Absolute Value Equations | Info | Go |
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Objective: To solve equations involving absolute values |
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| 26 | Absolute value | Solving and Graphing Inequalities | Info | Go |
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Objective: To graph the solution set of absolute value inequalities |
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| 27 | Trigonometry part 1 | Trigonometric Ratios | Info | Go |
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Objective: To name the sides of a right-angled triangle and to determine the trig ratios of an angle |
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| 28 | Trigonometry part 1 | Using the Calculator | Info | Go |
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Objective: To determine trigonometric ratios using a calculator |
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| 29 | Trigonometry part 1 | Using the Trigonometric Ratios to find unknown length [Case 1 Sin] | Info | Go |
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Objective: To use the sine ratio to calculate the opposite side of a right-angled triangle |
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| 30 | Trigonometry part 1 | Using the Trigonometric Ratios to find unknown length [Case 2 Cosine] | Info | Go |
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Objective: To use the cosine ratio to calculate the adjacent side of a right-angle triangle |
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| 31 | Trigonometry part 1 | Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio] | Info | Go |
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Objective: To use the tangent ratio to calculate the opposite side of a right-angled triangle |
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| 32 | Trigonometry part 1 | Unknown in the Denominator [Case 4] | Info | Go |
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Objective: To use trigonometry to find sides of a right-angled triangle and the Unknown in denominator |
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| 33 | Trigonometry part 1 | Bearings: The Compass | Info | Go |
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Objective: To change from true bearings to compass bearings and vice versa |
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| 34 | Trigonometry part 1 | Angles of Elevation and Depression | Info | Go |
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Objective: To identify and distinguish between angles of depression and elevation |
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| 35 | Trigonometry part 1 | Trigonometric Ratios in Practical Situations | Info | Go |
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Objective: To solve problems involving bearings and angles of elevation and depression |
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| 36 | Trigonometry part 1 | Using the Calculator to Find an Angle Given a Trigonometric Ratio | Info | Go |
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Objective: To find angles in right-angled triangles given trigonometric ratios |
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| 37 | Trigonometry part 1 | Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle | Info | Go |
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Objective: To use trigonometric ratios to determine angles in right-angled triangles and in problems |
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| 38 | Trigonometry part 1 | Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios | Info | Go |
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Objective: To determine the exact values of sin, cos and tan of 30, 45 and 60 degrees |
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| 39 | Trigonometry part 2 | Angles of Any Magnitude | Info | Go |
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Objective: To assign angles to quadrants and to find trigonometric values for angles |
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| 40 | Trigonometry part 2 | Trigonometric ratios of 0°, 90°, 180°, 270° and 360° | Info | Go |
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Objective: To find trigonometric ratios of 0, 90, 180, 270 and 360 degrees |
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| 41 | Trigonometry part 2 | Graphing the Trigonometric Ratios I: Sine Curve | Info | Go |
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Objective: To recognise the sine curve and explore shifts of phase and amplitude |
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| 42 | Trigonometry part 2 | Graphing the Trigonometric Ratios II: Cosine Curve | Info | Go |
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Objective: To recognise the cosine curve and explore shifts of phase and amplitude |
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| 43 | Trigonometry part 2 | Graphing the Trigonometric Ratios III: Tangent Curve | Info | Go |
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Objective: To recognise the tangent curve and explore shifts of phase and amplitude |
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| 44 | Statistics part 1 | Frequency distribution table | Info | Go |
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Objective: To construct a frequency distribution table for raw data and to interpret the table |
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| 45 | Statistics part 1 | Frequency histograms and polygons | Info | Go |
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Objective: To construct and interpret frequency histograms and polygons |
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| 46 | Statistics part 1 | Relative Frequency | Info | Go |
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Objective: To extend the frequency distribution table to include a relative frequency column |
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| 47 | Statistics part 1 | The Range | Info | Go |
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Objective: To determine the range of data in either raw form or in a frequency distribution table |
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| 48 | Statistics part 1 | The Mode | Info | Go |
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Objective: To find the mode from raw data and from a frequency distribution table |
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| 49 | Statistics part 1 | The Mean | Info | Go |
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Objective: To calculate means from raw data and from a frequency table using an fx column |
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| 50 | Statistics part 1 | The Median | Info | Go |
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Objective: To determine the median of a set of raw scores |
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| 51 | Statistics part 1 | Cumulative Frequency | Info | Go |
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Objective: To construct cumulative frequency columns, histograms and polygons |
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| 52 | Statistics part 1 | Calculating the Mean from a Frequency Distribution | Info | Go |
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Objective: To determine averages (mean, median and mode) from cumulative frequency polygons |
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| 53 | Probability | Simple events | Info | Go |
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Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S) |
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| 54 | Probability | Rolling a pair of dice | Info | Go |
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Objective: To find the probability of selected events when two dice are rolled |
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| 55 | Probability | Experimental probability | Info | Go |
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Objective: To find the experimental probabilities of an experimental trial |
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| 56 | Probability | Experimental probability | Info | Go |
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Objective: To use tree diagrams to determine sample spaces and compound probabilities |
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| 57 | Probability | Tree diagrams: depending on previous outcomes | Info | Go |
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Objective: To use tree diagrams where the probability is dependent on previous outcomes |
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| 58 | Probability | The Complementary Result | Info | Go |
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Objective: To calculate the probability of complementary events using P(E) = 1 - P(not E) |
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| 59 | Indices/Exponents | Multiplying indices when raising to more than one term | Info | Go |
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Objective: To raise power products to a power |
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| 60 | Indices/Exponents | Terms raised to the power of zero | Info | Go |
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Objective: To evaluate expressions where quantities are raised to the power 0 |
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| 61 | Indices/Exponents | Negative Indices | Info | Go |
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Objective: To evaluate or simplify expressions containing negative indices |
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| 62 | Indices/Exponents | Fractional Indices | Info | Go |
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Objective: To evaluate or simplify expressions containing fractional indices |
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| 63 | Indices/Exponents | Complex fractions as indices | Info | Go |
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Objective: To evaluate or simplify expressions containing complex fractional indices and radicals |
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| 64 | Surds/Radicals | Introducing surds | Info | Go |
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Objective: To recognise and simplify numerical expressions involving surds |
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| 65 | Surds/Radicals | Some rules for the operations with surds | Info | Go |
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Objective: To learn rules for the division and multiplication of surds |
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| 66 | Surds/Radicals | Simplifying Surds | Info | Go |
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Objective: To simplify numerical expressions and solve equations involving surds |
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| 67 | Surds/Radicals | Creating entire surds | Info | Go |
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Objective: To write numbers as entire surds and compare numbers by writing as entire surds |
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| 68 | Surds/Radicals | Adding and subtracting like surds | Info | Go |
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Objective: To add and subtract surds and simplify expressions by collecting like surds |
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| 69 | Surds/Radicals | Expanding surds | Info | Go |
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Objective: To expand and simplify binomial expressions involving surds |
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| 70 | Surds/Radicals | Binomial expansions | Info | Go |
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Objective: To expand and simplify the squares of binomial sums and differences involving surds |
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| 71 | Surds/Radicals | Conjugate binomials with surds | Info | Go |
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Objective: To expand and simplify products of conjugate binomial expressions |
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| 72 | Surds/Radicals | Rationalising the denominator | Info | Go |
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Objective: To rationalise the denominator of a fraction where the denominator is a monomial surd |
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| 73 | Surds/Radicals | Rationalising binomial denominators | Info | Go |
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Objective: To rationalise the denominator of a fraction when the denominator is a binomial with surds |
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| 74 | Polynomials | Introduction to polynomials | Info | Go |
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Objective: To define polynomials by degree, leading term, leading coefficient, constant term and monic |
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| 75 | Polynomials | The Sum, Difference and Product of Two Polynomials | Info | Go |
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Objective: To add, subtract and multiply polynomials |
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| 76 | Complex numbers | Complex Numbers: Adding and Subtracting | Info | Go |
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Objective: To recognise and manipulate simple complex numbers and expressions |
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| 77 | Complex numbers | Complex Numbers: Multiplying and Dividing | Info | Go |
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Objective: To perform multiplication and division of complex numbers |
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| 78 | Complex numbers | Adding and Subtracting Complex Numbers using Vectors | Info | Go |
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Objective: To perform complex number operations graphically using vectors |
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| 79 | Complex numbers | The Absolute Value of a Complex Number | Info | Go |
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Objective: To find the absolute value of a complex number |
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| 80 | Series and sequences part 1 | General Sequences | Info | Go |
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Objective: To use the general form of the n'th term of a sequence to find the first 3 terms |
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| 81 | Series and sequences part 1 | Finding Tn Given Sn | Info | Go |
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Objective: To find the value of the n'th term in a sequence given the sum of the first n terms |
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| 82 | Series and sequences part 1 | The Arithmetic Progression | Info | Go |
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Objective: To find the common difference of a given arithmetic progression |
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| 83 | Series and sequences part 1 | Finding the position of a term in an A.P. | Info | Go |
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Objective: To find the position of a term in a sequence, given an arithmetic progression and a value term |
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| 84 | Series and sequences part 1 | Given two terms of A.P. find the sequence | Info | Go |
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Objective: To find the first term and the common difference in an A.P. given the values and positions of two terms |
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| 85 | Series and sequences part 1 | Arithmetic Means | Info | Go |
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Objective: To find the arithmetic mean of two values |
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| 86 | Series and sequences part 1 | The sum to n terms of an A.P. | Info | Go |
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Objective: To find the sum of n terms of an arithmetic progression given the first three terms |
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| 87 | Series and sequences part 2 | Geometric Means | Info | Go |
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Objective: To find geometric means of a and b and insert geometric means between 2 endpoints |
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| 88 | Series and sequences part 2 | The sum to n terms of a G.P. | Info | Go |
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Objective: To find the sum of n terms of a sequence |
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| 89 | Series and sequences part 2 | Sigma notation | Info | Go |
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Objective: To evaluate progressions using sigma notation |
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| 90 | Algebra - Basic | Solving Two-Step Equations | Info | Go |
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Objective: To solve two-step equations without division in the initial problem |
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| 91 | Graphs part 1 | The parabola: to describe properties of a parabola from its equation | Info | Go |
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Objective: To describe properties of a parabola from its equation and sketch the parabola |
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| 92 | Graphs part 1 | Quadratic Polynomials of the form y = ax^2 + bx + c | Info | Go |
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Objective: To describe and sketch parabolas of the form y = x^2 + bx + c |
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| 93 | Graphs part 1 | Graphing perfect squares: y=(a-x) squared | Info | Go |
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Objective: To describe and sketch parabolas of the form y = (x - a)^2 |
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| 94 | Graphs part 1 | Graphing irrational roots | Info | Go |
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Objective: To determine the vertex (using -b/2a), and other derived properties, to sketch a parabola |
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| 95 | Graphs part 1 | Solving Simultaneous Equations graphically | Info | Go |
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Objective: To solve simultaneous equations graphically |
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| 96 | Algebra - Products and factors | Larger Expansions | Info | Go |
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Objective: To expand and simplify the product of a binomial and a trinomial |
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| 97 | Algebra - Products and factors | Highest Common Factor | Info | Go |
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Objective: To factorise an expression by identifying and extracting the highest common factor |
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| 98 | Algebra - Products and factors | Factors by Grouping | Info | Go |
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Objective: To factorise a four-term expression by grouping |
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| 99 | Algebra - Products and factors | Difference of Two Squares | Info | Go |
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Objective: To factorise differences of two squares |
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| 100 | Algebra - Products and factors | 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 recognize the difference of two squares. |
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| 101 | Algebra - Products and factors | Quadratic Trinomials (monic): Case 1 | Info | Go |
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Objective: On completion of the lesson the student will understand the factorization of quadratic trinomial equations with all terms positive. |
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| 102 | Algebra - Products and factors | Quadratic Trinomials (monic): Case 2 | Info | Go |
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Objective: On completion of the lesson the student will accurately identify the process if the middle term of a quadratic trinomial is negative. |
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| 103 | Algebra - Products and factors | Quadratic Trinomials (monic): Case 3 | Info | Go |
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Objective: On completion of the lesson the student will have an increased knowledge on factorizing quadratic trinomials and will understand where the 2nd term is positive and the 3rd term is negative. |
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| 104 | Algebra - Products and factors | Quadratic Trinomials (monic): Case 4 | Info | Go |
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Objective: On completion of the lesson the student will understand how to factorize all of the possible types of monic quadratic trinomials and specifcally where the 2nd term and 3rd terms are negative. |
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| 105 | Algebra - Products and factors | Factorisation of nonmonic quadratic trinomials | Info | Go |
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Objective: To factorise nonmonic quadratic trinomials using the 'X' method |
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| 106 | Algebra - Products and factors | Factorisation of nonmonic quadratic trinomials: Moon method | Info | Go |
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Objective: To factorise nonmonic quadratic trinomials using the 'Moon' method |
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| 107 | Algebra - Products and factors | Sum and Difference of Two Cubes | Info | Go |
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Objective: To factorise the sum and difference of two cubes |
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| 108 | Algebra - Products and factors | Simplifying algebraic fractions | Info | Go |
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Objective: To simplify algebraic fractions by factorisation and cancellation |
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| 109 | Algebra - Quadratic equations | Introduction to Quadratic Equations | Info | Go |
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Objective: To find the solutions of quadratic equations presented as a product of factors |
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| 110 | Algebra - Quadratic equations | Solving Quadratic Equations with Factorisation | Info | Go |
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Objective: To solve quadratic equations requiring factorisation |
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| 111 | Algebra - Quadratic equations | Solving Quadratic Equations | Info | Go |
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Objective: To solve quadratic equations that need to be changed into the form ax^2 + bx + c = 0 |
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| 112 | Algebra - Quadratic equations | Completing the square | Info | Go |
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Objective: To complete an incomplete square |
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| 113 | Algebra - Quadratic equations | Solving Quadratic Equations by Completing the Square | Info | Go |
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Objective: To solve quadratic equations by completing the square |
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| 114 | Algebra - Quadratic equations | The Quadratic Formula | Info | Go |
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Objective: To find the roots of a quadratic equation by using the quadratic formula |
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| 115 | Algebra - Quadratic equations | Problem solving with quadratic equations | Info | Go |
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Objective: To solve problems which require finding the roots of a quadratic equation |
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| 116 | Algebra - Quadratic equations | Solving Simultaneous Quadratic Equations Graphically | Info | Go |
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Objective: To determine points of intersection of quadratic and linear equations |
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| 117 | Series and sequences part 1 | The Geometric Progression | Info | Go |
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Objective: To find the common ratio of a given geometric progression |
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| 118 | Series and sequences part 1 | Finding the position of a term in a G.P. | Info | Go |
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Objective: To find the place of a term in a given geometric progression |
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| 119 | Series and sequences part 1 | Given two terms of G.P. find the sequence | Info | Go |
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Objective: To find the first term given two terms of a geometric progression |
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| 120 | Fractions | Adding and subtracting fractions with different denominators | Info | Go |
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Objective: To add fractions with different denominators and the answer is less than 1 |
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| 121 | Fractions | Multiplying fractions by whole numbers | Info | Go |
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Objective: To multiply common fractions by whole numbers |
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| 122 | Fractions | Fractions of whole numbers | Info | Go |
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Objective: To find fractions of whole numbers |
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| 123 | Fractions | Multiplying fractions | Info | Go |
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Objective: To multiply fractions and reduce the answer to its lowest form |
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| 124 | Fractions | Multiplying mixed numbers | Info | Go |
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Objective: To multiply mixed numbers and reduce the answer to its lowest form |
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| 125 | Fractions | Finding reciprocals of fractions and mixed numbers | Info | Go |
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Objective: To find the reciprocals of fractions and mixed numbers |
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| 126 | Fractions | Dividing fractions | Info | Go |
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Objective: To divide fractions by other fractions |
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| 127 | Fractions | Dividing mixed numbers | Info | Go |
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Objective: To divide mixed numbers |
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| 128 | Fractions | BODMAS | Info | Go |
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Objective: To calculate answers for fraction and mixed number questions using BODMAS |
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| 129 | Logarithms | Powers of 2 | Info | Go |
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Objective: To convert between logarithm statements and indice statements |
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| 130 | Logarithms | Equations of type log x to the base 3 = 4 | Info | Go |
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Objective: To find the value of x in a statement of type log x to the base 3 = 4 |
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| 131 | Logarithms | Equations of type log 32 to the base x = 5 | Info | Go |
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Objective: To solve Logrithmic Equation where the variable is the base x = 5 |
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| 132 | Logarithms | Laws of Logarithms | Info | Go |
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Objective: To review the logarithm laws |
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| 133 | Logarithms | Using the Log Laws to Expand Logarithmic Expressions | Info | Go |
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Objective: To expand expressions using the logarithm laws |
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| 134 | Logarithms | Using the Log Laws to Simplify Expressions Involving Logarithms | Info | Go |
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Objective: To simplify expressions using the logarithm laws |
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| 135 | Logarithms | Using the Log Laws to Find the Logarithms of Numbers | Info | Go |
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Objective: To find the logarithm of a number, with an unknown base, using the logarithm laws |
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| 136 | Logarithms | Equations Involving Logarithms | Info | Go |
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Objective: To solve equations involving logarithms using the logarithm laws |
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| 137 | Logarithms | Using Logarithms to Solve Equations | Info | Go |
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Objective: To use logarithms to solve exponential equations |
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| 138 | Logarithms | Change of Base Formula | Info | Go |
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Objective: To evaluate log expressions using logarithms |
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| 139 | Polynomials | The Sum and Product of the Roots of Quadratic Equations. | Info | Go |
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Objective: Sum and product of roots of quadratic equations. |
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| 140 | Polynomials | The Sum and Product of the Roots of Cubic and Quartic Equations. | Info | Go |
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Objective: Sum and product of toots of cubic and quartic equations. |
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| 141 | Polynomials | Polynomials and Long Division | Info | Go |
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Objective: To perform long division of polynomials, finding quotient and remainder |
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| 142 | Polynomials | The Remainder Theorem | Info | Go |
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Objective: To determine a remainder when a first polynomial is divided by a second |
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| 143 | Polynomials | More on Remainder Theorem | Info | Go |
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Objective: To determine polynomial coefficients given a divisor and remainder |
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| 144 | Polynomials | The factor theorem | Info | Go |
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Objective: To use the factor theorem to show that (x-a) is a factor of P(x) |
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| 145 | Polynomials | More on the factor theorem | Info | Go |
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Objective: To use the factor theorem to find algebraic variables in polynomials |
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| 146 | Polynomials | Complete factorisations using the factor theorem | Info | Go |
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Objective: To use the factor theorem to derive factors of a polynomial |
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| 147 | Polynomials | Polynomial equations | Info | Go |
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Objective: To practise solving polynomial equations |
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| 148 | Polynomials | Graphs of polynomials | Info | Go |
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Objective: To derive graphs of polynomials by factorising |
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| 149 | Graphs part 2 | The Exponential Function | Info | Go |
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Objective: To graph exponential curves whose exponents are either positive or negative |
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| 150 | Probability | The Binomial Theorem and Binomial Coefficients | Info | Go |
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Objective: To calculate binomial coefficients and expand binomial powers. |
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| 151 | Function | Functions and Relations: domain and range | Info | Go |
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Objective: To identify and represent functions and relations |
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| 152 | Function | Function Notation | Info | Go |
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Objective: To write and evaluate functions using function notation |
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| 153 | Function | Selecting Appropriate Domain and Range | Info | Go |
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Objective: To determine appropriate domains for functions |
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| 154 | Function | Domain and Range from Graphical Representations | Info | Go |
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Objective: To determine the range of a function from its graphical representation |
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| 155 | Function | Evaluating and Graphing Piecewise Functions | Info | Go |
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Objective: To evaluate and graph piecewise functions |
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| 156 | Function | Combining Functions | Info | Go |
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Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide |
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| 157 | Function | Simplifying Composite Functions | Info | Go |
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Objective: To simplify, evaluate and determine the domain of composite functions |
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| 158 | Function | Inverse Functions | Info | Go |
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Objective: To find the inverse of a function and determine whether this inverse is itself a function |
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| 159 | Function | Graphing Rational Functions Part 1 | Info | Go |
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Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes |
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| 160 | Function | Graphing Rational Functions Part 2 | Info | Go |
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Objective: To determine asymptotes and graph rational functions |
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| 161 | Function | Polynomial Addition: in Combining and Simplifying Functions | Info | Go |
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Objective: To evaluate, simplify and graph rational functions |
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| 162 | Graphs part 1 | The Circle: to find radii of circles | Info | Go |
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Objective: To find radii of circles, centre (0, 0) using x^2 + y^2 = a^2 and write equations of circles |
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| 163 | Graphs part 1 | The semicircle: to select the equation given the semicircle and vice versa | Info | Go |
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Objective: To select the equation given a semicircle and vice versa |
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| 164 | Graphs part 2 | General equation of a circle: determine and graph the equation | Info | Go |
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Objective: To determine and graph the equation of a circle with radius a and centre (h,k) |
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| 165 | Graphs part 2 | Logarithmic Functions | Info | Go |
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Objective: To graph and describe log curves whose equations are of the form y = log (ax + b) |
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| 166 | Trigonometry part 2 | Reciprocal Ratios | Info | Go |
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Objective: To find the trigonometric ratios for a given right-angled triangle |
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| 167 | Trigonometry part 2 | Complementary Angle Results | Info | Go |
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Objective: To use complementary angle ratios to find an unknown angle given a trigonometric equality |
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| 168 | Trigonometry part 2 | Trigonometric Identities | Info | Go |
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Objective: To simplify expressions using trigonometric equalities |
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| 169 | Trigonometry part 2 | Graphing the Trigonometric Ratios IV: Reciprocal Ratios | Info | Go |
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Objective: To graph the primary trigonometric functions and their inverses |
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| 170 | Trigonometry part 2 | Using One Trig. Ratio to Find Another | Info | Go |
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Objective: To derive trig ratios complement from one given trig ratio + some other quadrant identifier. |
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| 171 | Trigonometry part 2 | Solving Trigonometric Equations - Type I | Info | Go |
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Objective: To Solve trigonometric equations for angles from 0 to 360 degrees. |
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| 172 | Trigonometry part 2 | Solving Trigonometric Equations - Type II | Info | Go |
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Objective: To solve trigonometric equations for angles from 0 to 360 degrees. |
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| 173 | Trigonometry part 2 | Solving Trigonometric Equations - Type III | Info | Go |
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Objective: To solve trigonometric equations using tan? = sin?/cos?. |
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| 174 | Trigonometry part 1 | The Cosine Rule to find an unknown side [Case 1 SAS] | Info | Go |
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Objective: To complete the cosine rule to find a subject side for given triangles |
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| 175 | Trigonometry part 1 | The Sine Rule to find an unknown side: Case 1 | Info | Go |
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Objective: To complete the cosine rule to find a subject angle for given triangles |
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| 176 | Trigonometry part 1 | The Sine Rule: Finding a Side | Info | Go |
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Objective: To find an unknown side of a triangle using the sine rule |
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| 177 | Trigonometry part 1 | The Sine Rule: Finding an Angle | Info | Go |
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Objective: To find an unknown angle of a triangle using the sine rule |
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| 178 | Polar coordinates | Polar Coordinates - Plotting and Converting | Info | Go |
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Objective: To plot polar points and convert polar coordinates to rectangular coordinates |
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| 179 | Polar coordinates | Converting Rectangular Coordinates to Polar Form | Info | Go |
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Objective: To convert rectangular to polar coordinates |
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| 180 | Polar coordinates | Graphing Polar Functions | Info | Go |
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Objective: To write the polar coordinates of a point for selected argument ranges |
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| 181 | Trigonometry part 2 | Trigonometric Sum and Difference Identities | Info | Go |
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Objective: To evaluate trig functions of angles using sum and difference identities |
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| 182 | Trigonometry part 2 | Double Angle Identities | Info | Go |
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Objective: To use double angle identities to evaluate trig. functions and solve trig equations |
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| 183 | Trigonometry part 2 | Half-angle Identities | Info | Go |
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Objective: To evaluate trig. functions of angles using half-angle identities |
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| 184 | Trigonometry part 2 | t Formulas | Info | Go |
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Objective: To write t-formulae for trig. functions. To solve equations using t-formulae |
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| 185 | Statistics part 2 | Calculating mean, mode and median from grouped data | Info | Go |
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Objective: To identify class centres, get frequency counts and determine mean, mode and median values |
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| 186 | Statistics part 2 | Using the Calculator for Statistics | Info | Go |
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Objective: To find a mean, using a data set or a frequency distribution table and calculator. |
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| 187 | Statistics part 2 | Measures of Spread | Info | Go |
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Objective: To determine a range and use it in decision making |
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| 188 | Statistics part 2 | Standard deviation applications | Info | Go |
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Objective: To find a standard deviation, using a data set or a frequency distribution table and calculator |
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| 189 | Statistics part 2 | Applications of Standard Deviation | Info | Go |
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Objective: To use standard deviation as a measure of deviation from a mean |
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| 190 | Statistics part 2 | The Normal Distribution | Info | Go |
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Objective: To use the standard deviation of a normal distribution to find a percentage of scores within ranges |
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| 191 | Statistics part 2 | Measures of Spread: the interquartile range | Info | Go |
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Objective: To find the upper and lower quartiles and the interquartile range |
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| 192 | Statistics part 1 | Stem and Leaf Plots along with Box and Whisker Plots | Info | Go |
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Objective: To derive statistics from data represented as stem & leaf or box & whisker plots |
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| 193 | Statistics part 1 | The Scatter plot | Info | Go |
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Objective: To make a valid interpretation of data presented as a scatter plot |
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| 194 | Probability | P[A or B] When A and B are NOT mutually exclusive | Info | Go |
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Objective: To calculate the probability of non exclusive events using P(A or B) = P(A)+P(B) |
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| 195 | Probability | Binomial probabilities using the Binomial Theorem | Info | Go |
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Objective: To calculate the binomial probability of a given number of successful trials |
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| 196 | Probability | Counting techniques and ordered selections | Info | Go |
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Objective: To use counting techniques in probability |
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| 197 | Probability | Unordered selections - combinations | Info | Go |
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Objective: To use the nCr formula to solve problems where unordered selections occur |
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| 198 | Exam | Exam - Year 10/11 - Algebra II and Trigonometry | Info | Go |
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Objective: Exam |
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