HEADSTART for 2018 MATHS METHODS
During our HeadStart lessons, we will be focussed on covering Chapter 1 (Functions).
OUTLINE SHEET for HEADSTART and HOLIDAYS(Revised)

STUDY DESIGN FOR UNITS 3 and 4 MATHS METHODS

Videos for Chapter 1
Ex 1A
This video reviews set and interval notation.
Ex 1B
This video reviews what you need to know about functions
Ex 1C
Video 1: This video explains implied domain (maximal domain)
Video 4: This video explains how to graph a hybrid function by hand
Video 7: This video reviews the properties of one to one functions.

Video 2: This video also goes through implied domain.
Video 5: This video explains the symmetry properties of odd and even functions

Video 3: This video explains how to graph a hybrid function with CAS
Video 6: This video explains algebraically how to tell if a function is an odd function or an even function (or neither).

Ex 1D
Video 1: This video goes through how to find the domain of sums and products of functions

Video 2: This video explains Addition of Ordinates

Video 3: This video adds to the explanation given in Video 2 about Addition of Ordinates

Ex 1E
Video 1: This video introduces the fundamental concepts of composite functions
Video 4: This video continues explains when a composite function is defined.

Video 2: Watch this video in order to check your understanding of Video 1
Video 5: If you need to strengthen your understanding of when a composite function exists (is defined) watch this video as well.

Video 3: This video continues to explain the concepts of composite functions
Video 6: This video goes through a typical problem testing your understanding of when composite functions are defined.

Ex 1F
Video 1: this video goes through the basic concepts of Inverse Functions

Video 2: This video goes through an important property of inverse functions

Video 3: This video goes through how to solve inverse function problems and express your answer with the correct notation.

Ex 1G
Video1: this video goes through the charactiristics of power functions when the index is positive.
Video 4: This video goes into the algebra associated with strictly increasing/decreasing functions

This video goes through the characteristics of power functions when the index is a negative integer.

This video explains the concept of strictly increasing and decreasing functions.

Videos for Chapter 2
Ex 2A
No videos for Ex2A, because Linear Equations is a topic that you should be very familiar with.
Ex 2B
Video 1 : Explains Literal Equations

Video 2: Explains Simultaneous Literal Equations

Ex 2C
This video explains all the CoOrdinate Geometry relating to Linear Graphs that you learned in Year 11.

Ex 2D
This video goes through a typical exam question applying the concepts of CoOrdinate Geometry

Ex 2F
This video explains the three possible cases when solving systems of simultaneous linear equations with two variables.

Ex 2G
TEST YOURSELF VIDEO
This video goes through two past VCAA Exam questions based on the content of Chapter 2. You should pause this video, try the problem yourself and then restart the video to confirm your solution. This is an excellent Revision video.
