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Pre- Calc Unit 1. Equations – Inequalities – Modeling Alg 2 Review. Unit 1 Lesson 1 Do 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 - PowerPoint PPT Presentation
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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?
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