| Lesson Topic |
Category |
Description |
|
| Analyzing Graphs of Polynomial Functions |
Algebra |
Analyzing Graphs of Polynomial Functions |
| Direct Variation |
Algebra |
Direct variation equations have the general form y=kx^n, where (k) is a non-zero constant and is called the constant of variation or the constant of proportionality. |
| 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 |
| Angle Bisectors Segment Bisectors |
Geometry |
How to find the measures of segments or angles formed by a bisector including through solving for x when the measures are given algebraically. |
| 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. |
| 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 |
| Error estimation, linearization |
Calculus II |
Error estimation with taylor or maclaurin series |
| 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 |
| Partial derivatives |
Calculus III |
Explain partial derivatives |
| 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 |
| 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 |
