Unit 2-Modelling Algebraic Competency Ms. C. Taylor COMMON CORE MATH 3 Warm-Up Using the data given: 23, 45, 23, 45, 67, 54, 34, 89, 56, 76, 12, 76 Give the Minimum, Lower Quartile, Median, Upper Quartile, Maximum, and standard deviation. (Use Calculator) Rational & Irrational Numbers Rational Numbers repeated in a pattern, terminate, or can be expressed as a ratio of two integers. Irrational Numbers dont repeat in a pattern, never terminate, and cannot be expressed as a ratio of two integers. Examples of Rational Numbers: 8/9, , 3.0 Examples of Irrational Numbers: , 2 Exponent Laws x 1 = x x 0 = 1 x -1 = 1/x x m x n = x m+n x m /x n = x m-n (x m ) n = x mn (xy) n = x n y n (x/y) n = x n /y n x -n = 1/x n And the law about Fractional Exponents: Polynomial Operations Warm-Up What is the probability of driving a Honda or a Nissan, or a Ford. The probability of a Honda is 0.05, probability of a Nissan is 0.35 and the probability of a Ford is 0.67. Factoring Factoring Examples Warm-Up I want to choose a first, second, and third place winner. I have 25 students to choose from, how many combinations are possible? Mr. Jones would like to choose 7 students for a history project. There are 89 students that he can choose from, how many combinations are possible? Long Division Synthetic Division Warm-Up Classify the following numbers as irrational or rational: 2 2.4 . Simplifying Rational Expressions Warm-Up Add the polynomials: (2x 2 + 5x 2) + (-3x 2 6x + 5) (-x 3 2x 2 + 3x + 5) + (6x 2 8x 9) Add & Subtract Rational Expressions Warm-Up Multiply & Divide Rational Expressions Warm-Up Inverses of Functions Warm-Up