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Peter Gregory
Aug 21, 20241 min read
Introduction to Calculus
A 10 hour course (60 slides) available from mathedoeswork.com that is intended to complement a calculus course. It covers Introduction -...
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Peter Gregory
May 10, 20241 min read
% up and down
The number of pears on my tree went up 5% in 2023, and went up another 25% in 2024. 1) If the number of pears at the end of 2022 was 80,...
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Peter Gregory
Apr 15, 20241 min read
Does the Graph move Left or Right?
Sometimes the easiest things are the hardest to remember! For example, if you have the graph of y = sin(x) and you add "a" to x, does the...
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Peter Gregory
Feb 28, 20241 min read
Solving graphical inequalities
When you solve simultaneous equations you are looking for an exact value of x and y that satisfies both of the equations. Inequalities...
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Peter Gregory
Feb 28, 20241 min read
Multiple Choice?
When you use math in the real world, you don't have multiple choice answers: usually you are solving a problem that nobody has done...
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Peter Gregory
Feb 28, 20242 min read
Distance, Area, and Volume
When we measure distances we use measurements of length: cm, metres, yards, miles. Conceptually we use a measuring stick and step off how...
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Peter Gregory
Feb 23, 20241 min read
Radians are easy!
Radians are a measure of angle. If you measure the length of the radius (R) of a circle on its circumference, the angle that that arc...
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Peter Gregory
Feb 22, 20241 min read
How many solutions (2D)?
Linear equations (straight lines) can do 3 things: intersect each other (one solution, which is where the x,y value of the intersection...
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Peter Gregory
Feb 22, 20241 min read
Perpendicular lines
Two lines ax + by = 5 and 4x - 5y = 3 are peroendicular. What is the relationship between a and b? Lines y = mx + b is...
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Peter Gregory
Feb 22, 20241 min read
"150% more than".
We are all used to seeing "y is 150% of x", which means y = 1.5x. We are less used to seeing "y is 150% more than x" and there is a...
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Peter Gregory
Feb 22, 20241 min read
Exponential functions - where to begin?
Consider an exponential expression, like f(x) = A(1.5)^x. I read the question and then look at two values of x that usually shorten the...
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Peter Gregory
Feb 22, 20241 min read
Multiple choice?
Multiple choice questions look like an easier way to solve a problem, but beware of two disadvantages: you are learning math so that you...
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Peter Gregory
Feb 6, 20242 min read
f(x) - Whats wrong with y?
When you start learning about functions, the left hand side is usually y, and then on the right hand side we build up more complicated...
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