1. Math Review Arithmetic Operations + - / x Quadratic equations X 2 / Real Numbers Positive Numbers : 1, +3, 52, 3.58, …… +n Negative Numbers : -0.5, -8, -37, -108.36, ….. -n

2. Percentage % A percentage is a way of expressing a number as a fraction of 100 50% = 50 / 100 = 1 / 2 = Half 25% = 25 / 100 = 1 / 4 Quarter 75% = 75 / 100 = 3 / 4 = 3 Quarter X = [ Y(%) / 100 ] * A What is the Y% of A ?

3. Some Examples of Percentages What is 13 % of 98 What is 200 % of 30? 60 % of all university students are female. There are 2400 female students. How many students are in the university? There are 300 cats in the village, and 75 of them are black. What is the percentage of black cats in that village? Some Christmas cards are marked down in January from $3.99 a pack to $2.65 a pack. What is the % reduction? Suppose you pay $45 for a jacket in a Sale where everything is labelled 20% OFF!... What was the original price of the jacket? A certain computer is advertised at a price of $1099 excluding Sales Tax. If Tax is added at 7.5% what price will you actually have to pay?

4. Equations x + 1 = 2. a = b/2 + c a = (b/2 + c ) * 7 x = (y * 3 – z 2 ) * 4 3x = (y * 7 –5z 2 ) * 4 (2y + 5x ) = 3x + z Note: 5x + 3x = x ( 5 + 3 )

5. Pythagorean theorem

6. Trigonometry

7. Systems of measurement Length : Meter: m Mass: Kilo: kg Time: Second: s Multiples

8. Systems of measurement Length : Meter: m Mass: Kilo: kg Time: Second: s Submultiples

9. Graphs y = x y = 2 * x

10. Making a Graph (Plot) Y = sin (x) x | y 30° | 0.5 45° | 0.707 60° | 0.866 90° | 1.0 120° | 0.866 135° | 0.707 150° | 0.5 180° | 0.0 210° | - 0.5 225° | - 0.707 240° | - 0.866 270° | - 1.0

11. Vectors & Scalars

12. Adding Vectors = Vector Components Vector(Z) = a x + b y