Pre- Calc Unit 1

1. Pre-Calc Unit 1 Equations – Inequalities – Modeling Alg 2 Review

2. Unit 1 Lesson 1Do Now:What are the Five Words?What are the Five Principles? • Objectives • Describe the four levels of effort at Hyde: EEMO • Describe the Hyde Learning Process AICR • Describe what it will take to get an HONOR in this class • Be able to describe the 4 point grading system used by Mr. Romac • Be able to describe the Four P’s • Homework • Complete the EEMO Blank Worksheet • Complete the Pre-Calc Pre Test

3. Unit 1 Lesson 1 • Review • Functions • Graphs • http://www.analyzemath.com/PrecalculusTutorials.html • In Class • -Syllabus • -Text book scavenger hunt • Function Gallery page xix • Table of Contents • Page 95 Highlights • Index • Answers to ODD problems • Summary • What was YOUR effort (EEMO) in class today? • Leave it better than you found it.

4. Objectives • Describe the three main categories of applied problems • Demonstrate the 7-steps of problem solving • Homework • pp: 20-23 • #s: 1-22 (all) Unit 1 Lesson 2 Sep 6Do Now: Solve the formula S = P + Prtfor “P”"You cannot teach a man anything; you can only help him find it within himself." Galileo (1564-1642)

5. Review • Y = mx + B • In Class • In Class • Page 13 - Examples 4 – 8 • Motion • Mixture • Work Unit 1 Lesson 2 Summary For thought 1 – 10 EVEN What was YOUR effort (EEMO) in class today?

6. Unit 1 Lesson 3 / 3aDo Now:David Ortiz had a batting average of .318 at the beginning of a game with the Yankees. After going 2 hits for 4 at bats. At the end of the game his average was .320. How many times has he been at bat for the season and how many hits has he had for the season? Batting averages are found by taking the total number of hits divided by the total number of at bats. • Objectives • Graph Points using the Cartesian system • Solve for the distance between ordered pairs • Find the midpoint between ordered pairs • Write the equation for a circle in standard form • {begin work with “completing the square”} • Homework • pp: 34-36 • #s: 10, 22, 30, 38, 48, 50, 52, 64 • 3 Assigned Wed Sep 6 • 3a pp: 34-36 • #s: 12, 16, 29, 32, 36, 38, 55, 56 44 • 3-b Assigned Mon Sep 12 • pp: 34-36: • #’s (in class) 71, 75, 84, 88 • #’s 9, 21, 29, 37, 47, 49, 51, 63, 71, 75, 84, 88

7. Unit 1 Lesson 3 • Review • Plotting points • {x, y) • In Class • Page 26 – 30 • Example 1: • Example 2: Distance Formula • Example 3: Midpoint • Example 4: Circle • pp: 33-36 • #s: 9, 21, 47, 71, 83 Do Now Solution: {X + 2}/ {Y+4}= .320 X / Y = .318  x = .318 {Y} {.318 {Y} + 2}/ {Y+4}= .320 {.318 {Y} + 2} = {Y+4}{ .320} {.318 {Y} + 2} = {Y}{.320} +1.28 .72 =0.002{Y} Y = 360 at bats X = .318 Y = 114.(48?)Hits Summary Plot {2, 4} and {5, 30} Find the Distance between the points and the Mid- Point What was YOUR effort (EEMO) in class today?

8. Unit 1 Lesson 4aDo Now:4a) f(x) = – (1 / 3)x - 1 / 2Find the Y interceptFind the X interceptFind the SlopeFind f(6) = • Objectives • Be able to graph a circle free hand • (w/out calculator) from equation • Determine circle equation from a graph • Know how to “complete the square” • Find X and Y Intercepts from Graphing and Analytical methods • Homework • pp: 35-36 • 4a #s: 49, 51, 53, 63, 74, 76, 86

9. Unit 1 Lesson 4a • Review • DistanceMidpoint • y = mx+B • X & Y Intercepts • CIRCLE Equation • (x - h)2 + (y - k)2 = r2 • f(x) = mx + B • f(x) = a x2 + bx + c • In Class • http://www.analyzemath.com/CircleEq/Tutorials.html • Circle Applet: http://www.analyzemath.com/CircleEq/CircleEq.html • Example 1: • Find the equation of a circle whose center is at • (2, - 4) and radius 5. • Solution to Example 1: • given                • (h , k ) = (2 , - 4)             and     r = 5 • substitute h, k and r in the standard equation • (x - 2)2 + (y - (- 4))2 = 52 • (x - 2)2 + (y + 4)2 = 25 • Summary • (x - 4)2+ (y - 3)2= 49 • Center = ( , ) Radius = • What was YOUR effort (EEMO) in class today?

10. Objectives • Be able to graph a circle free hand • (w/out calculator) from equation • Determine circle equation from a graph • Know how to “complete the square” in fivesteps • Find X and Y Intercepts from Graphing and Analytical methods • Homework • pp: 35-36 • 4b #s: 47, 55, 56, 57, 79, 91, 92 Unit 1 Lesson 4bDo Now:

11. Review • Distance Midpoint • y = mx+B • X & Y Intercepts • (x - h)2 + (y - k)2 = r2 • f(x) = mx + B • f(x) = ax2+ bx + c • In Class • Complete the square • http://www.purplemath.com/modules/sqrquad.htm • Step 1 Divide all terms by a (the coefficient of x2). • Step 2 Move the number term (c/a) to the right side of the equation. • Step 3 Complete the square on the left side of the equation by adding (b/2)2 and balance this by adding the same value to the right side of the equation. • Step 4 Take the square root on both sides of the equation. • Step 5 Add or subtract the number that remains on the left side of the equation to find x. • pp: 35-36 • 4b #s: 49, 54, 61 Summary Find the roots by completing the square for f(x) = 2x2 + 4x +3 Unit 1 Lesson 4b f(x) = 2x2 + 4x - 6 x2+ 2x – 3 = 0 x2 + 2x = +3 x2+ 2x + 1 = 3 + 1 (x + 1)2 = 4

12. Unit 1 Lesson 5Do Now: • Objectives • Homework

13. Unit 1 Lesson 5 • Review • In Class Summary What was YOUR effort (EEMO) in class today?

14. Unit 1 Lesson 6Do Now: • Objectives • Homework

15. Unit 1 Lesson 6 • Review • In Class Summary What was YOUR effort (EEMO) in class today?

16. Unit 1 Lesson 7Do Now: • Objectives • Homework

17. Unit 1 Lesson 7 • In Class • Review Summary What was YOUR effort (EEMO) in class today?