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Mathematical Methods VCE Units 1&2
Reviewing linear equations
Solving equations (26:27)
Solving equations 2 (37:19)
Literal equations (23:28)
Solving worded problems (18:13)
Elimination method (27:59)
Substitution method (18:54)
Review of worded question (19:12)
Real-world simultaneous equations (31:08)
Review of worded question (writing simultaneous equations and solve) (19:12)
Inequality (20:28)
Solving inequalities - Multiply or divide by a negative number (15:59)
Changing the subject of a formula (27:54)
Reviewing coordinategeometry
Midpoint of a line segment (16:58)
Pythagorean theorem (21:48)
The distance between two points (16:01)
The rule for straight line graph is given by y=mx+c (11:34)
Linear equation - Gradient (13:44)
Linear equation - Gradient 2 (9:27)
The tangent of the angle of slope (14:02)
General form Standard form Slope-intercept form (20:58)
A line through two points (16:59)
Axes intercepts (20:49)
Vertical and horizontal lines (12:10)
Relation between two linear equations (20:29)
The geometry of simultaneous linear equations with two variables (24:48)
Linear equation questions review (28:02)
Quadratics
Foil method (13:11)
Collecting like terms (14:52)
Difference of two squares (19:04)
Factorising expressions (22:56)
Cross Method and then Zero Product Property (32:17)
Cross Method Zero product property X intercept and sketch (25:10)
Turning point form (31:40)
Quadratic inequalities (23:15)
Quadratic formula (34:48)
The discriminant (15:22)
Review of finding the intersection (linear and quadratic) (18:51)
Point of intersection of different graphs (Quadratic circle hyperbola) (19:11)
A gallery of graphs
Rectangular hyperbolas and The truncus (23:26)
Drawing a square root graph (24:22)
Circles (22:56)
Semicircles (16:26)
Transformation on the hyperbola graph (22:50)
Functions and relations
Interval notation (9:41)
Domain and range of a function (24:25)
Implied (maximal) domain (32:20)
Types of correspondences (22:54)
Horizontal Vertical line test (16:21)
Piecewise-defined functions (23:49)
Inverse functions (17:34)
Polynomials
Equating coefficients (16:31)
Factorise and draw the cubic function (28:15)
Cubic function division with remainder (12:09)
Special cases: sums and differences of cubes (19:15)
Drawing linear quadratic cubic function graphs (15:42)
The bisection method (9:08)
Transformations
Translation (16:36)
Dilations (20:33)
Reflection (18:34)
A notation for transformations (35:32)
Probability
Probability (18:56)
Probability review (18:04)
Two-way table and Venn diagram (16:14)
Intersection and Union Compliment in the Venn diagram (20:23)
Conditional probability (17:11)
independent probability and mutually exclusive event (18:41)
Counting methods
Addition and multiplication principles (12:02)
Arrangements and Selections (Permutation and Combination) (38:48)
Permutations with restrictions (14:50)
Combinations with restrictions (19:25)
Permutations of like objects (24:15)
Discrete probability distributions
Sampling with replacement: the binomial distribution (36:26)
Determining binomial probabilities using CAS calculator (9:12)
Exponential functions and logarithms
Index laws- Raising powers (16:49)
Index laws 1&2 (15:04)
Index law 3 and zero power (16:55)
Index law 4&5 (21:01)
Index law_Negative indices (20:08)
Index law (total) (19:31)
Rational indices (30:55)
Graphs of exponential functions (18:58)
Solving exponential equations and inequalities (26:15)
Logarithms (30:38)
Graphs of logarithm functions (21:03)
Circular functions
Trigonometric ratio(SOH CAH TOA) (21:05)
Special right triangles(45 45 90 and 30 60 90) (16:53)
Pythagorean Identities (16:26)
Sin Cos Tan graph and evaluation 1 (55:27)
Sin Cos Tan graph and evaluation 2 (31:18)
Sketch graphs of sin cos using transformation (44:16)
Solution of trigonometric equations (27:30)
Rates of change
Rate of change Average rate of change and Average value (23:02)
Velocity time graph (27:28)
Differentiation and antidifferentiation of polynomials
First principle and tangent (23:45)
Calculus – Power rules (25:12)
Differentiation and antidifferentiation (22:37)
Derivative graph (29:44)
Limits and continuity (29:25)
Differentiable function (30:23)
Applications of differentiation of polynomials
Equations of tangent and normal lines (34:05)
Stationary points (46:01)
Newton`s Method (19:44)
Further differentiation and antidifferentiation
Chain rules (18:56)
Concavity and second derivative test (38:08)
Integration
Calculus - Finding the area of a region (38:35)
CAS calculator
TI CAS calculator (48:49)
Teach online with
Intersection and Union Compliment in the Venn diagram
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