BREAKING NEWS:
This post, and others like it, became so popular that I made a whole new website!!
At this website, you’ll find over 350 videos mapped to the senior Mathematics Curriculum of various states of Australia. I put quite a bit of work into making it user-friendly for teachers, parents and students to find the video they need. Best of all, it’s 100% free. Please click the link and check it out.
ORIGINAL BLOG POST BELOW.
What a busy twelve months it’s been! The new senior syllabus has dropped in Queensland, which means every senior teacher in the state has been wrestling with the new content, new assessment and how to teach it.
Of course, for me this means making a whole bunch of new videos for my blended learning classroom. Now that the dust is settling, I’ve put my videos into playlists, tidied them up a bit and now I can share them here.
So, feel free to bookmark this blog post. If you find yourself unexpectedly sick one day and you need to teach a new concept from unit 1, just email your class a link to the right video and away you go.
If you are thinking of experimenting with flipped or blended learning next year, this might give you a bit of help.
There’s 80 videos here in total, so you’ll probably find what you’re looking for here somewhere.
Sometime in the near future I’ll post up Unit 2 and 3 but hopefully some people will find this useful for now.
Unit 1: Topic 1: Arithmetic Sequences and Series
VIDEO
Using a recurrence relation
Defining a sequence in terms of n
Applications of recurrence relations
Applications of recurrence relations non arithmetic
Using a calculator with recurrence relations
Arithmetic sequence formula
Rearranging the arithmetic sequence formula
Arithmetic sequences using simultaneous equations
Arithmetic sequences and series
Simultaneous equations using arithmetic series and sequences
Application of the arithmetic sequence
Simple Interest using arithmetic sequences
The Middle Term as the arithmetic mean in an arithmetic sequence
Introduction to the Sum of an arithmetic series
Arithmetic Series Formula Where it comes from and how to use it
Arithmetic Series resulting in a quadratic
Arithmetic Series and Simultaneous equations
Finding the number of terms in an arithmetic sequence
Arithmetic series Finding the number of terms that sum to a given number
Application of arithmetic series
Unit 1: Topic 2: Functions and Graphs
VIDEO
Set Notation: Introduction
Interval Notation and Number Lines
Relations Domain and Range
Relations, Functions and the vertical line test
domain and range notation
Domain and Range of functions and relations
Graphing on calculator using restricted domains
Function Notation: Better ways of representing functions
Function Transformations intro
Functions Transformation fx+a
Function transformation f(x+a)
Function transformation afx
Functions transformations f(ax)
Anatomy of a quadratic graph
Solving Quadratics 3 ways
3 forms of the quadratic equation
Review of sketching quadratics two ways
The quadratic formula and the discriminant
Modelling and problem solving with quadratics
solving simultaneous equations using quadratic and linear graphs
Direct vs inverse proportion
Equations of hyperbola and sketching
Finding equation of reciprocal function from sketch
Sketching Hyperbolas and why there's an asymptote
Sketching circles and finding equations of circles
Direct and Indirect Proportion
Long Division: Learn this before polynomial division
Finding a linear factor of a polynomial
Factorise solve and sketch a cubic
Cubics in "Turning Point" Form: (But it's not a turning point)
Full quadratic review video
Fitting Indirect Proportion function to data using TI Nspire
Graphing and finding key points on the TI Nspire
Determining intersections of functions graphically on the TI Nspire
Sketching a graph on the TI Nspire
Solving simultaneous equations using LinSolve TI Nspire
Solving polynomials on the TI Nspire
Unit 1: Topic 3: Counting and Probability
VIDEO
Theoretical Probability with sets
All Probabilities sum to 1
Venn Diagrams the complement
The Addition rule of probability
Conditional Probability formula
Conditional Probability Do you watch the bachelorette
Conditional probability rearranging the formula
Conditional Probability and Tree Diagrams
Independent events intro and tests
Pascal's Triangle and Selections
Binomial expansion using pascal's triangle
Unit 1: Topic 4: Exponential Functions 1
VIDEO
Index Law 1 – multiplication of indices
Index Law 2 – dividing indices
Index Law 3 – raising to the power of zero
Index Law 4 – Raising a power to another power
Index Law 5 – worked examples using the fifth index law
Index Law 6 – expanding brackets around a fraction raised to a power
Index law 7 Negative Indices – converting Negative indices into positive indices using fractions
Index Laws Fractional indices
Index Laws Negative bases
Index Laws simplifying by decomposing
Scientific notation Converting to scientific notation
Scientific Notation Convert scientific notation to decimal
Scientific notation Multiplying and dividing
Unit 1: Topic 5: Geometric Sequences and Series
VIDEO
Using a recurrence relation
Defining a sequence in terms of n
Applications of recurrence relations
Applications of recurrence relations non arithmetic
Using a calculator with recurrence relations
Arithmetic sequence formula
Rearranging the arithmetic sequence formula
Arithmetic sequences using simultaneous equations
Arithmetic sequences and series
Simultaneous equations using arithmetic series and sequences
Application of the arithmetic sequence
Simple Interest using arithmetic sequences
The Middle Term as the arithmetic mean in an arithmetic sequence
Introduction to the Sum of an arithmetic series
Arithmetic Series Formula Where it comes from and how to use it
Arithmetic Series resulting in a quadratic
Arithmetic Series and Simultaneous equations
Finding the number of terms in an arithmetic sequence
Arithmetic series Finding the number of terms that sum to a given number
Application of arithmetic series