Pre- Calc Unit 1

Pre-Calc Unit 1

Equations – Inequalities – Modeling

Alg 2 Review

HomeworkComplete the EEMO Blank Worksheet

Complete the Pre-Calc Pre Test

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

Unit 1 Lesson 1

Do Now:What are the Five Words?What are the Five Principles?

In Class-Syllabus

-Text book scavenger hunt

Function Gallery page xix

Table of Contents

Page 95 Highlights

Index

Answers to ODD problems

SummaryWhat was YOUR effort (EEMO) in class today?

Leave it better than you found it.

Review

Functions

Graphs

http://www.analyzemath.com/PrecalculusTutorials.html

Unit 1 Lesson 1

* Unit 1 Lesson 2 Sep 6Do Now: Solve the formula S = P + Prt for “P”

"You cannot teach a man anything; you can only help him find it within himself." Galileo (1564-1642)

*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

*Review

* Y = mx + B

*In Class* In Class

*Page 13 - Examples 4 – 8

*Motion

*Mixture

*Work

SummaryFor thought 1 – 10 EVEN What was YOUR effort (EEMO) in class today?

Unit 1 Lesson 3 / 3a

Do 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 systemSolve for the distance between ordered

pairsFind the midpoint between ordered pairsWrite the equation for a circle in

standard form{begin work with “completing the

square”}

Homeworkpp: 34-36#s: 10, 22, 30, 38, 48, 50, 52, 64 3 Assigned Wed Sep 63a 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

Unit 1 Lesson 3Review Plotting points{x, y)

In ClassPage 26 – 30Example 1: Example 2: Distance FormulaExample 3: MidpointExample 4: Circlepp: 33-36#s: 9, 21, 47, 71, 83

SummaryPlot {2, 4} and {5, 30}Find the Distance between the points and the Mid- Point What was YOUR effort (EEMO) in class today?

Do Now Solution:{X + 2}/ {Y+4}= .320X / 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 batsX = .318 Y = 114.(48?)Hits

Unit 1 Lesson 4aDo Now:4a) f(x) = – (1 / 3)x - 1 / 2Find the Y interceptFind the X intercept Find the Slope

Find 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

Unit 1 Lesson 4a

Review

Distance Midpoint

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.

Summary  (x - 4)2 + (y - 3)2 = 49Center = ( , ) Radius = What was YOUR effort (EEMO) in class today?

Solution to Example 1: given                (h , k ) = (2 , - 4)             and     r = 5substitute h, k and r in the standard equation   (x - 2)2 + (y - (- 4))2 = 52

  (x - 2)2 + (y + 4)2 = 25

* Unit 1 Lesson 4b

Do Now:

*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 five steps

*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 4b

* 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

SummaryFind the roots by completing the

square for f(x) = 2x2 + 4x +3

f(x) = 2x2 + 4x - 6x2 + 2x – 3 = 0x2 + 2x = +3x2 + 2x + 1 = 3 + 1(x + 1)2 = 4

Unit 1 Lesson 5

Do Now:

Objectives

Homework

Unit 1 Lesson 5Review

In Class 

SummaryWhat was YOUR effort (EEMO) in class today?

Unit 1 Lesson 6Do Now:

Objectives

Homework

Unit 1 Lesson 6

Review

In Class  

SummaryWhat was YOUR effort (EEMO) in class today?

Homework

Objectives

Unit 1 Lesson 7

Do Now:

In Class 

Review

Unit 1 Lesson 7

SummaryWhat was YOUR effort (EEMO) in class today?