Course+outline

Course outline ** TERM 1. ** homework  || Linear Equations Literal Equations and Simultaneous literal equations Linear coordinate geometry Applications of Linear Functions Matrix Arithmetic || ** Worksheet ** ** 2A, 2B, 2C, 2D, 2E ** || Summation Notation Binomial Theorem // After school lecture (Wednesday 6th Feb period 3&4) // || ** A1 p 663-667 +sheets ** ** A2 ** ** A3 p 668 + sheets ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Polynomials <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Quadratics <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Matrix Arithmetic <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Simultaneous Equations using matrices || <span style="font-family: Tahoma,Geneva,sans-serif;">** 4A ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 4B + C ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 2E ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 2F, 2G ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Functions and Relations <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Types of functions, maximal domains and hybrid functions <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Functions with the rule f(x)=x^n <span style="font-family: Tahoma,Geneva,sans-serif;"> Functions in the form f: //R-// // R //, f(x) = a(x-h)^n + k <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">The modulus function || <span style="font-family: Tahoma,Geneva,sans-serif;">** 1A ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 1B ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 1C ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 3A ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 4D ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 1D ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Polynomials of higher degree || <span style="font-family: Tahoma,Geneva,sans-serif;">** 3B, 3C, 3D, 3E, 3F, 3G ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 4E, 4F ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Solving literal equations || <span style="font-family: Tahoma,Geneva,sans-serif;">** 3H, 4C, 4G ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 4H ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Graphing Inverses <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Inverse Relations <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Exponential Functions <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Exponential Equations || <span style="font-family: Tahoma,Geneva,sans-serif;">** 1G ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 3J ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 7B ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 5A, 5B ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 5C ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Determining rules for graphs of exponential and log functions <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Change of base, solution of exponential equations <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Inverses <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Exponential growth and decay || <span style="font-family: Tahoma,Geneva,sans-serif;">** 5D ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 5E ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 5F ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 5G ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 5H ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Review of angle measurements <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Symmetry of unit circle || <span style="font-family: Tahoma,Geneva,sans-serif;">** 6A, 6B (//private study//) ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 6C, 6D ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Graphs of sine and cosine functions =<span style="font-family: Tahoma,Geneva,sans-serif; text-decoration: none;">Transformations of sine and cosine functions = <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Finding axes intercepts <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Determining rules for the graphs || <span style="font-family: Tahoma,Geneva,sans-serif;">** 6E **
 * <span style="font-family: Tahoma,Geneva,sans-serif;">** WEEK ** || <span style="font-family: Tahoma,Geneva,sans-serif;">** TOPICS ** || <span style="font-family: Tahoma,Geneva,sans-serif;">** TEXT REFERENCE ** ||
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">Holiday
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">1 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Combinations
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">2 || <span style="font-family: Tahoma,Geneva,sans-serif;">** Functions: **
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">3 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Set Theory
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">4 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Transformations of functions
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">5 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Determining the rule for a function
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">6 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Inverse Functions
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">7 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Log Functions
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">8 || <span style="font-family: Tahoma,Geneva,sans-serif;">** SAC #1: Test (chapter 1-4) **
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">9 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Exact values

<span style="font-family: Tahoma,Geneva,sans-serif;">** 6F ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 6G **

<span style="font-family: Tahoma,Geneva,sans-serif;">** 6H ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 6J ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Identities, double angle formula <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Applications of circular functions <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Using CAS || <span style="font-family: Tahoma,Geneva,sans-serif;">** 6K, 6L ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 6M ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 6N ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Sums and Products of Functions <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Addition of Ordinates <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Identities with function notation || <span style="font-family: Tahoma,Geneva,sans-serif;">** 1F, 7A ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 1E ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 7C, 3I, 6D ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 7D, ** || <span style="font-family: Tahoma,Geneva,sans-serif;">** SAC #2: Test (Technology) ** || <span style="font-family: Tahoma,Geneva,sans-serif;">** 7E **
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">TERM 1 BREAK ||
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">1 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">General solutions
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">2 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Composite Functions
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">3 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Families of functions and solving literal equations

<span style="font-family: Tahoma,Geneva,sans-serif;">** Chapter 8 revision of chapters 1-7 ** || <span style="font-family: Tahoma,Geneva,sans-serif;">** 9A, **
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">4 || <span style="font-family: Tahoma,Geneva,sans-serif;">** Calculus: **
 * <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Limits and continuity
 * <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Gradient of a chord
 * <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">First principles, the derived function: differentiating by rule including negative indices
 * <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Chain Rule
 * <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Differentiating rational powers || <span style="font-family: Tahoma,Geneva,sans-serif;">** 9I **

<span style="font-family: Tahoma,Geneva,sans-serif;">** 9B, 9C **

<span style="font-family: Tahoma,Geneva,sans-serif;">** 9D ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 9E ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Quotient Rule <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Derivative of exponential and log functions and applications <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Derivatives of circular functions and applications || <span style="font-family: Tahoma,Geneva,sans-serif;">** 9F ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 9G ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 11A, 11B, 11C ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 11D, 11E, 11F, 11G ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Stationary Points and types of S.P. <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Maxima and Minima <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Rates of Change and related rates || <span style="font-family: Tahoma,Geneva,sans-serif;">** 10A ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 10D, 10E ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 10F, 10G ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 10H, 10I ** || <span style="font-family: Tahoma,Geneva,sans-serif;">** (Calculus) ** ||  || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Differentiability <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Linear Approximation || <span style="font-family: Tahoma,Geneva,sans-serif;">** 9H ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 9J ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 9K (homework) ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 10C ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Antidifferentiation of algebraic expressions <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Antiderivative of //ekx// <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Integrating trig functions and 1///x// || <span style="font-family: Tahoma,Geneva,sans-serif;">** 12B, 12C ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 12D ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 7.3 and 7.4 Heinemann ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Approximations <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">The fundamental theorem of calculus/ definite integral <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Area under a curve || <span style="font-family: Tahoma,Geneva,sans-serif;">** 6.3 Mathsworld(Q.10-14) ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 12A, 6.2 Mathsworld ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 12E ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 12F, ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Area between curves <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Applications of integration <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Sketching graphs of //f(x)// given //f’(x)// || <span style="font-family: Tahoma,Geneva,sans-serif;">** 12G, 12H ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 12I ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 12J ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 8.1 Mathsworld ** || <span style="font-family: Tahoma,Geneva,sans-serif;">** SAC #4: Analysis Task ** || <span style="font-family: Tahoma,Geneva,sans-serif;">** Chapter 13 revision ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Review of probability <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Discrete Random Vairables <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Discrete Probability distributions <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Measures of centre and variance || <span style="font-family: Tahoma,Geneva,sans-serif;">** 14A ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 14B ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 14C ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 14D ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">The graph of a binomial distribution <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Expected Value and Variance and standard deviation <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Using CAS || <span style="font-family: Tahoma,Geneva,sans-serif;">** 15A ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 15B ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 15C ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 15D ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Markov Chains (Transition Matrices) <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Steady State of a Markov Chain <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Comparing Bernoulli sequences and Markov Chains || <span style="font-family: Tahoma,Geneva,sans-serif;">** 16A ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 16B ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 16C ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 16D ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Cumulative distribution functions <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Mean, median and mode for CRV <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Measures of spread <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Properties of mean and variance || <span style="font-family: Tahoma,Geneva,sans-serif;">** 17A ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 17B ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 17C ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 17D ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 17E ** || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">The standard normal and confidence intervals <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Inverse Standard normal <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Solving problems using the normal distribution || <span style="font-family: Tahoma,Geneva,sans-serif;">** 18A ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 18B ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 18C ** <span style="font-family: Tahoma,Geneva,sans-serif;">** 18D ** ||
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">5 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Product Rule
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">6 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Tangents and Normals
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">7 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">MID-YEAR EXAM WEEK || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Ensure up to date with exercises, revise for SAC# 3 ||
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">8 || <span style="font-family: Tahoma,Geneva,sans-serif;">** SAC #3: Project/Application Task **
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">9 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Graph of the gradient function
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">TERM 3 ||
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">1 || <span style="font-family: Tahoma,Geneva,sans-serif;">** Integration: **
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">2 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Integration by recognition
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">3 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Area under a curve cont.
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">4 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Revision and exploration of higher thinking
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">5 || <span style="font-family: Tahoma,Geneva,sans-serif;">** Probability ** :
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">6 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Bernoulli sequences and binomial distributions
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">7 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Using matrices for conditional probability
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">8 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Continuous random variables
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">9 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">The normal distribution
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">10 || <span style="font-family: Tahoma,Geneva,sans-serif; font-size: 16px;">Revision of Chapters 14-18 and preparation for SAC || <span style="font-family: Tahoma,Geneva,sans-serif;">** Chapter 19 ** ||
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">TERM 4 ||
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">1 || <span style="font-family: Tahoma,Geneva,sans-serif;">** SAC #5: Analysis Task (Probability) ** ||   ||
 * <span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 16px; text-align: center;">2 |||| <span style="display: block; font-family: Tahoma,Geneva,sans-serif; text-align: center;">** EXAM PREPARATION AND REVISION **  ||
 * 3 ||||^   ||