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- 10 week duration
An introduction to numerical computation. Emphasis is placed on scientific and engineering notation, the rule of significant figures, and converting between SI and Imperial units.
Fractions, Percentage, Ratios and Proportion
Emphasis here is placed on understanding fractions, percent, and using ratios to compare quantities and set up proportions to solve problems.
Introduction to Algebra
Functions and Graphs
This unit focuses on analyzing and understand the characteristics of various shapes, both 2D and 3D.
- Identify, measure, and calculate different types of straight lines and angles
- Calculate the interior angles of polygons
- Solve problems involving a variety of different types of triangles
- Calculate the area of a variety of different types of quadrilaterals
- Solve problems involving circles
- Calculate the areas and volumes of different solids
A rate is a ratio (comparison) of two different quantities possessing different units of measure. For example, speed is a measure of distance per unit time – distance is measurable and so is time. More specific examples of units are:
- Wage: $20 per hour
- Points per game: 14.5 points per game
- Speed: 15 kilometers per hour
Let’s analyze this further. Take the example of wage:
Anytime your rate is per one unit of whatever, it’s referred to as a unit rate. Therefore, $40/2 hours isn’t a unit rate, where as $20/1 hour is.
To convert one rate to another, you have to perform two simultaneous conversions. It’s the same process as converting a single unit, except it needs to be performed twice – one conversion each for the numerator and denominator. The videos show several examples of unit rate conversions.
Part 2 and part 3 show examples that are slightly more challenging than those above. One of the questions from Part 2 states:
[Convert] 777 gallons per minute to cubic meters per hour
According to the question, you’re expected to go from gallons to meters. A gallon is a unit of volume while a meter is a unit of length. There’s no clear-path to convert from gallons to meters, so an intermediate step is required.
- Still need more practice, watch Part 3 here. Try to convert each example on your own before watching the solution.