https://padlet.com/brendanp/pvbssvmdeu2x Made with a creative frenzy en-us 2018-11-22 21:25:19 UTC 2018-11-26 11:47:48 UTC hello@padlet.com brendanp https://padlet.com/brendanp/pvbssvmdeu2x/wish/307120452

Operations with numbers in the form ax10k

Arithmetic sequences and series

Geometric sequence and series, including financial applications (excluding sum of infinite series)

Exponent laws

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Linear functions including parallel and perpendicular

Domain, range, and functional notation

Inverse functions (as a reflection in y=x)

The graph of a function (sketching and using tech to find sums and differences)

Key features of graphs

Points of intersection using tech

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Simple deductive proofs

Exponent laws with rational exponents

Log laws

Exponential equations

Sum of infinite geometric series

Binomial theorem (excluding negative and fractional indices)

Pascal’s Triangle and nCr

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Permutations & combinations

Binomial theorem with negative and fractional indices

Partial Fractions

Complex numbers, the complex plane, polar and Euler form

Complex conjugate roots of polynomial equations

DeMoivre’s theorem

Power and roots of complex numbers

Proof by Induction, contraction, and counterexample

Systems of equations 

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Composite function

Identity functions

Quadratic functions including discriminant 

Solutions quadratic equations and inequalities

Reciprocal functions

Rational functions in the form 

y=ax+bcx+d

Exponential & logarithmic functions

Solving equations both graphically and analytically (including using tech)

Transformations of graphs (translations, reflections, stretches)

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Polynomial functions, including factor and remainder theorem

Sum and product of the roots of polynomial equations

Rational functions in the form 

y=ax+bcx2+dx+e and y=ax2+bx+cdx+e

Odd and even functions

Inverse functions, including domain restrictions and self-inverses

Solving g(x)≥f(x) both graphically and analytically

The graphs of y=fx, y=fx, y=1fx, y=fa+b, y=fx2

Solutions of absolute value equations and inequalities

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• Distance between, and midpoint of, two points
• Volume and surface area of 3D solids
• Angles between intersecting lines or a line and a plane
• Trig ratios (sin, cos, tan)
• Sine law (excluding ambiguous case)
• Cosine law
• Area of triangle - A=12absinC
• Applications of right and non-right angled trig (including angles of elevation and depression)

]]> 2018-11-24 03:59:05 UTC https://padlet.com/brendanp/pvbssvmdeu2x/wish/307359764 https://padlet.com/brendanp/pvbssvmdeu2x/wish/307707632 -Discrete and continuous data, sample sizes
-Reliability and Bias in Sampling
-Outliers
-Sampling techiques
-Histograms, Cumulative frequency graphs, Quartiles
-Box and Whisker Plots
-Measures of Central Tendency
-Estimation of Mean from Group Data
-Measures of dispersion
-Quartiles of discrete data
-Effects of Constant Change
-Linear correlation of bivariate data
-Pearson's product-moment coefficient
-Scattergrams
-Equation of Regression Lines
-Probability, complementary events and expected outcomes
-Venn, tree, sample space diagrams
-Combined events, probability and independent events
-Discrete random variables and probability distributions
-Expected value for discrete data
-Binomial distribution
-Mean and variance of binomial distribution
-Normal distribution and diagrammatic representation
-Normal probability and inverse normal calculations

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-Conditional probabilities
-Testing for independent events
-Z-values
-Inverse normal calculations]]> 2018-11-26 11:24:17 UTC https://padlet.com/brendanp/pvbssvmdeu2x/wish/307708445 https://padlet.com/brendanp/pvbssvmdeu2x/wish/307708636 -Bayes Theorem
-Variance of discrete random variable
-Probability density function
-Mean and median of continuous random variables
-Mode, variance, standard deviation of discrete and continuous random variables
-Effect of Liner transformations]]> 2018-11-26 11:25:06 UTC https://padlet.com/brendanp/pvbssvmdeu2x/wish/307708636 https://padlet.com/brendanp/pvbssvmdeu2x/wish/307714585 2018-11-26 11:46:21 UTC https://padlet.com/brendanp/pvbssvmdeu2x/wish/307714585 https://padlet.com/brendanp/pvbssvmdeu2x/wish/307714682 2018-11-26 11:46:42 UTC https://padlet.com/brendanp/pvbssvmdeu2x/wish/307714682 https://padlet.com/brendanp/pvbssvmdeu2x/wish/307714925 2018-11-26 11:47:37 UTC https://padlet.com/brendanp/pvbssvmdeu2x/wish/307714925