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Powerpoint for preparing students to take the GMAT Focus Edition
- 1. Integers Note About Absolute Values: |-x| = x Ex: |-1| = 1 Just remove the negative
- 2. Understanding Place Values Can be thought of as : (4 x 1,000) + (2x 100) + (6 x 10) + (8x 1) = 4268
- 7. Numberlines To represent inequalities on a number line we show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle. An open circle shows it does not include the value. A closed circle shows it does include the value. An arrow shows that it continues in that direction infinitely
- 8. Converting Numberlines to Inequalities -2 x < 4 This function will evaluate to either TRUE or FALSE depending on X TRUE if the value is within the range and FALSE if outside the range What would X = 5 evaluate to ? What would x = 2 evaluate to?
- 10. Probabilities
- 19. Exponents Base Number being multiplied Exponent # of times we multiply
- 24. Remainders What is the remainder of 9/6 ___________ 143 / 14 ___________ 49/7 ____________
Editor's Notes
- #4: Define integer as 10x+y, goal is to find x-y integer = 10x + y // reverse = 10y + x \\ difference = 9x-9y = 27 // divide by 9 and get x-y = 3
- #5: plug into euqation and solve
- #6: First subtract 301-99 = 202 integers , cut in half for even = 101. Next find median value (99+301/ 2) = 200 explain how under/ over estimated will cancel ex 198 and 202 Show example from book to compare pattern stlye of combining (100 + 300+) + (102 + 298) + (104 + 296)
- #7: Goal: Find max and min, aka biggest overestimate and biggest underestimate . Set up scaled down problem with 3 digits 1 of which is even Max ver = (2.1,2.1,2.2) = .6 Min ver = (2.9, 2.9, 2.8) = -1.6
- #21: X^1 first// Then show example of combinging like bases and how to simplify unlike bases with [2^2 x 4^2] = 2^6Show why a^0 = 1 by showing a^2 x a^-2 = 1
- #23: trick is to convert to same base ie (1/4)^-2 =( (1/2)^2)^-2 // (1/16)^-1 = ((1/2)^4)-1// then add exp (-3 , -4 , -4)
- #24: trick is to only look at UNITS digit and observe a pattern. 3^1 = 3 , 3^2 = 9 , 3^3 = 27, 3^4= 81 , 3^5 = 243 3^6 = 729