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| Lesson Topic | Category | Description |
|---|---|---|
| Geometric series | Algebra | Geometric series |
| Inverse Variation | Algebra | Graph a function that exhibits inverse variation. Find missing coordinates for an ordered pair of a function with inverse variation. State the formula and proportion for a word problem involving inverse variation. Write an equation to solve a word problem involving inverse variation. Solve a word problem involving inverse variation. |
| Scientific significant figures | Algebra | Use of significant figures in mathmatical problems |
| Using the 1% solution | Algebra | Using the 1% solution to find the % of a number |
| Circles | Geometry | Geometry of the circle: arcs and angles |
| Information about quadrilaterals | Geometry | How to find the total degrees in a polygon, how to find each interior and exterior angle of a polygon that can have any amount of sides. |
| Measurements on maps and scale drawings | Geometry | How to measure distance on a map |
| Proving theorems | Geometry | How to prove different theorems and postulates in geometry |
| Proving Triangles Congruent | Geometry | Problems and answers on how to prove triangles congruent |
| Tangents to circles | Geometry | Tangents to circles, radii perpendicular to chords, etc. |
| tensors | Geometry | tensor calculus |
| Triangle construction | Geometry | Constructing different triangle types |
| History of any famous mathematician | Advanced Algebra | I love to through in quick facts or short stories behind the mathematicians that discovered different theories. Later in the school year students choose a mathematician that they write a paper on and give a short report on their findings. |
| Introduction to Boolean Algebra | Advanced Algebra | Logic and boolean algebra |
| Number Theory | Advanced Algebra | Number Theory from basic to advanced |
| Matrix applications | Trig / Pre Calc | Using matrices in real world applications |
| Multiplying and Dividing in different bases | Trig / Pre Calc | Muliplying and dividing in different bases. |
| Real world applications | Trig / Pre Calc | Using trig functions in real world examples |
| Applications of differentiation (graphs) | Calculus | Applications of differentiation. You are given a function and you are supposed to find all the qualities of the graph of that function: asymptotes, x and y intercepts, maximum, minimum, etc. All using f(x), f'(x), and f"(x). |
| Hyperbola | Calculus | Find the point on the hyperbola x2-y2=1 which is nearest to the point Q=(3,0). |
| Particle motion | Calculus | Particle motion moving to the right and left. |
| Rates of Change | Calculus | Word problems with the rate of change of a cone, sphere, area of a circle, cylinder, etc. |
| Roll's Theorem | Calculus | This lesson should follow the Mean Value Theorem |
| Gamma and beta funtions in improper integrals | Calculus II | Beta and gamma funtions with improper integrals and their applications |
| Taylor's Theorem | Calculus II | Finding the bounds of convergence of the remainder term of a Taylor Polynomial |
| Arithemic sequence | Pre Algebra | Step by step instructions |
| Finding the Scale Factor | Pre Algebra | Finding the scale factor in shapes |
| Probability | Pre Algebra | Mutually exclusive, dependent and independent events |
| 3-D Dimensional figures top, side, front views | Basic Math | You see the front, side, and top view of the figure and find the one that matches |
| Making Change | Basic Math | How to make change |
| gaussian elimination | Math History | elimination in matrices |
| Abstract Algebra | Beyond Calculus | Groups, subgroups, cayley tables |
| Mechanics | Beyond Calculus | Centre of gravity, concept of friction, projectiles, harmonic motion, equilbrium of particles |
| Dimensions of an irregular shape | Other | How do you find the dimensions of a irregular shape |
| Time series | Statistics | Measure of trend and seasonal variation |
| Correlation, and regression analysis | Statistics | Computing correlation, random variable distribution and regression analysis. |
| Discrete probability distribution | Statistics | Binomial probabilty distribution, normal probability distribution, inference: from samples to population |
| Intro Stats | Statistics | Parallel boxplots, segmented bar charts, IQR, etc |
| mean & standard deviation | Statistics | how to disperse new grades on a curve grading system |
| Probability | Statistics | Probability/ P(even given that the number is greater than 4) - the numbers are 0,1,2,3,4,5,6,7,8,9 |
| Two sample T-test | Statistics | How to do a two sample t-test and write a conclusion for it. |
| Type 1 and Type 2 Errors | Statistics | Type 1 and Type 2 Errors for IB Math HL Option Topic Stats and Probability |
| ODE method by substitution | Differential Equations | How to solve second order ODE by substitution |
| Coding theory and switching network and mathematical logic | Discrete Math | Quantifiers, application of switching network, coding theory, hamming metric, rings, subrings |
| Relations | Discrete Math | Relations and Their properties, n-ary relations and their applications, representing relations, closures of relations, equivalence relations, partial orderings |