MATH 1004E Get out of your seat and mingle until you find someone with a name that either has:

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Virgil Welch
5 years ago
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Monday 11:35-1:5 CORE CONCEPTS: Pre-calc review (key terms, exponents, factoring, rationalizing) Basic functions (absolute, trigonometric) Intro to limits (one-sided) OPENER (10min): Mingling Name

e. ±1) iii. At least two of the same letters in your name Once you have found someone, sit down with them and create yourself a paper nameplate.

1 Monday 11:35-1:5 CORE CONCEPTS: Pre-calc review (key terms, exponents, factoring, rationalizing) Basic functions (absolute, trigonometric) Intro to limits (one-sided) OPENER (10min): Mingling Name Game Get out of your seat and mingle until you find someone with a name that either has: i. The same first or last letter as your name ii. The same number of letters as your name within one letter (i.e. ±1) iii. At least two of the same letters in your name Once you have found someone, sit down with them and create yourself a paper nameplate. Find out your partners program and one interesting thing about them (you will introduce them to the class). ACTIVITY 1 (0min): Pre-Calc Matrix Review Important Terms Symbol Name Explanation/equation [ Closed bracket The bracket used for an interval when the end point is included ( Set of all real numbers R: Range The set of all x values for which the function is defined n/a Odd function f(-x)= n/a n/a Degrees to radians equation f(-x) = f(x)

2 Monday 11:35-1:5 Exponent Rules 5 0 = 4-1 = 4 1/ = = 89 / 84 = (6 ) 4 = (5*) 3 = (3 9 9 )/7 = (5 1/ )(15 ) - = Factoring Difference of squares 4x -36 = Difference of cubes 15x 3-7y 3 = X +4x+5 = Complete the square 9x -1x-5 = 4x +3x- = x x 1 Rationalizing 3x 1 1 x 4x + 7

3 Monday 11:35-1:5 ACTIVITY (30min): FUNctions One half of the class will be given an absolute value function question as well as inequality questions and will become experts in the topic. The other half of the class will become experts in the topic of trigonometry. Then one person from each group will pair up and explain their knowledge. Absolute Value Functions and Inequalities: Ex. Remove absolute value from f(x) = x + + 3x 9 Show all steps clearly: Solve the following four inequalities. What is the trick to each? Ex. Solve the inequality 4x Ex. Solve the inequality x + 5x + 6 > 0 Ex. Solve the inequality x 3 Ex. Solve the inequality x 1 x +

4 Monday 11:35-1:5 Trigonometric Functions: What is SOH CAH TOA?: sin(x)= cos(x)= tan(x)= csc(x)= sec(x)= cot(x)= Fill in the right-angle triangles, explain CAST rule, and sketch graphs of sin(x) and cos(x). S A Sin(X) T C Cos(X) Use the following questions to show how to use the concepts above. Sin(π/4) = Sin(17π/4) = Tan(41π/4) = Cos(π/3) = Csc(π/3) = Sec(-9π/4) = Refer to your notes to find these important trig identities. sin x + cos x = sin(x ± y) = cos(x ± y) = sin(x) = cos(x) = sin x = cos x =

5 Monday 11:35-1:5 ACTIVITY 3 (15min): Pushing your limits Relay Race Limit: The value that a function approaches as the input approaches some value Get in groups of 4 and find a spot by a chalk board. I will give each group a bag of limit questions. We will have a relay race of solving them on the board. The team that wins will get a candy prize! CLOSER (5min): Goal setting and Expectations On an anonymous piece of paper, write down a S.M.A.R.T goal you have for this semester as well as expectations you have of these workshops (and of me as the facilitator). S - Specific M - Measurable A Attainable R - Relevant T Time-bound S.M.A.R.T goal: Expectations:

5, tan = 4. csc = Simplify: 3. Simplify: 4. Factor and simplify: cos x sin x cos x

5, tan = 4. csc = Simplify: 3. Simplify: 4. Factor and simplify: cos x sin x cos x Precalculus Final Review 1. Given the following values, evaluate (if possible) the other four trigonometric functions using the fundamental trigonometric identities or triangles csc = - 3 5, tan = 4 3.