ANNOUNCEMENTS GOOD MORNING or GOOD AFTERNOON AGENDA FOR

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ANNOUNCEMENTS • GOOD MORNING or GOOD AFTERNOON • AGENDA FOR TODAY q. Quickly Review

ANNOUNCEMENTS • GOOD MORNING or GOOD AFTERNOON • AGENDA FOR TODAY q. Quickly Review Absolute Values q. Graphing Quadratics q. Vertex Form q. Calculator Activity jfkrucz. weebly. com

M 314 Algebra II Section 9 -4 and 9 -5: Quadratics Presented by, Mr.

M 314 Algebra II Section 9 -4 and 9 -5: Quadratics Presented by, Mr. Kruczinski jfkrucz. weebly. com

Absolute Value Graphs Review 1. y = l x l 2. y = -l

Absolute Value Graphs Review 1. y = l x l 2. y = -l x l jfkrucz. weebly. com

Warm up (h, k) x=h If “a” is positive If “a” is negative Slope

Warm up (h, k) x=h If “a” is positive If “a” is negative Slope is equal to “+a” jfkrucz. weebly. com

WARM-UP TIME 04 59 00 01 02 03 04 05 06 07 08 09

WARM-UP TIME 04 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 GET OUT YOUR HOMEWORK for CHECK-IN jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

WARM-UP TIME 03 59 00 01 02 03 04 05 06 07 08 09

WARM-UP TIME 03 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 GET OUT YOUR HOMEWORK for CHECK-IN jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

WARM-UP TIME 02 59 00 01 02 03 04 05 06 07 08 09

WARM-UP TIME 02 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 GET OUT YOUR HOMEWORK for CHECK-IN jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

WARM-UP TIME 01 59 00 01 02 03 04 05 06 07 08 09

WARM-UP TIME 01 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 GET OUT YOUR HOMEWORK for CHECK-IN jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

WARM-UP TIME 00 59 00 01 02 03 04 05 06 07 08 09

WARM-UP TIME 00 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 GET OUT YOUR HOMEWORK for CHECK-IN jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

ATTENTION CHECK • IF YOU ARE READING THIS SLIDE, THAT MEANS YOU ARE PAYING

ATTENTION CHECK • IF YOU ARE READING THIS SLIDE, THAT MEANS YOU ARE PAYING ATTENTION. (GOOD JOB) • IF YOU ARE CONTINUING TO READ THIS SLIDE, THEN PLEASE RAISE YOUR LEFT HAND • THANK YOU! jfkrucz. weebly. com

-2 (-2, -3) -3 X=-2 up +1 5 1 (5, 1) +2 X=5 up

-2 (-2, -3) -3 X=-2 up +1 5 1 (5, 1) +2 X=5 up jfkrucz. weebly. com

Warm-Up (Cont. ) 4 5 (4, 5) +1 X=4 down jfkrucz. weebly. com

Warm-Up (Cont. ) 4 5 (4, 5) +1 X=4 down jfkrucz. weebly. com

Graphs of Quadratic Functions A quadratic function is a function that can be described

Graphs of Quadratic Functions A quadratic function is a function that can be described as… Consider the following graph of f(x)= x 2 This shape is called a_____________ Parabola (Para- “BOWL”-a) This is considered the line [or axis] of_____ Symmetry x=0 It can be expressed as ______ vertex This point is called the _______. (0, 0) We can notate it as ________. All Reals What is the DOMAIN of this function? ____ y>0 What is the RANGE of this function? _____ jfkrucz. weebly. com

Example # 1 • Vertex: (-2, 0) • Line of symmetry: x = -2

Example # 1 • Vertex: (-2, 0) • Line of symmetry: x = -2 • Minimum/Max: There is a minimum (the vertex) (-2, 0) • Domain All Real Numbers • Range y>0 jfkrucz. weebly. com

Example # 2 • Vertex: (3, 0) • Line of symmetry: x= 3 •

Example # 2 • Vertex: (3, 0) • Line of symmetry: x= 3 • Minimum/Max: There is a maximum (the vertex) (3, 0) • Domain All Real Numbers • Range y<0 jfkrucz. weebly. com

Calculator Activity (Worksheet #1) Rules and Guidelines • You can work with a partner

Calculator Activity (Worksheet #1) Rules and Guidelines • You can work with a partner • Group A: Question 1 &2 • Group B: Question 3 & 4 • Group C: Question 5 & 6 • If you finish your assigned questions continue on. • You have 5 minutes to do the activity jfkrucz. weebly. com

Calculator Activity 04 59 00 01 02 03 04 05 06 07 08 09

Calculator Activity 04 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 If you finish early continue on with the Packet jfkrucz. weebly. com Back to Clock Home Countdown Clock By Dr. Jeff Ertzberger

Calculator Activity 03 59 00 01 02 03 04 05 06 07 08 09

Calculator Activity 03 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 If you finish early continue on with the Packet jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

Calculator Activity 02 59 00 01 02 03 04 05 06 07 08 09

Calculator Activity 02 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 If you finish early continue on with the Packet jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

Calculator Activity 01 59 00 01 02 03 04 05 06 07 08 09

Calculator Activity 01 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 If you finish early continue on with the Packet jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

Calculator Activity 00 59 00 01 02 03 04 05 06 07 08 09

Calculator Activity 00 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 If you finish early continue on with the Packet jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

ATTENTION CHECK • IF YOU ARE READING THIS SLIDE, THAT MEANS YOU ARE PAYING

ATTENTION CHECK • IF YOU ARE READING THIS SLIDE, THAT MEANS YOU ARE PAYING ATTENTION. (GOOD JOB) • IF YOU ARE CONTINUING TO READ THIS SLIDE, THEN PLEASE STAND UP. UP • THANK YOU! jfkrucz. weebly. com

SKETCHPAD DEMO Discussion of Calculator Activity jfkrucz. weebly. com

SKETCHPAD DEMO Discussion of Calculator Activity jfkrucz. weebly. com

(h, k) x=h a is positive a is negative jfkrucz. weebly. com

(h, k) x=h a is positive a is negative jfkrucz. weebly. com

EXAMPLES: f(x) = a (x – h) 2 + k h =____ k=____ 5

EXAMPLES: f(x) = a (x – h) 2 + k h =____ k=____ 5 3 (3, 5) x=3 Opens up (because a is positive) 2 h =____ (2, 3) 3 k=____ x=2 Open Down (because a is negative) jfkrucz. weebly. com

Whole Class EXAMPLES (1, 2) x=1 up min (2, 6) x=2 down max jfkrucz.

Whole Class EXAMPLES (1, 2) x=1 up min (2, 6) x=2 down max jfkrucz. weebly. com (-3, -5) x = -3 up min

ON YOUR OWN Graph Problems #4 -6 04 59 00 01 02 03 04

ON YOUR OWN Graph Problems #4 -6 04 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

ON YOUR OWN Graph Problems #4 -6 03 59 00 01 02 03 04

ON YOUR OWN Graph Problems #4 -6 03 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

ON YOUR OWN Graph Problems #4 -6 02 59 00 01 02 03 04

ON YOUR OWN Graph Problems #4 -6 02 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

ON YOUR OWN Graph Problems #4 -6 01 59 00 01 02 03 04

ON YOUR OWN Graph Problems #4 -6 01 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

ON YOUR OWN Graph Problems #4 -6 00 59 00 01 02 03 04

ON YOUR OWN Graph Problems #4 -6 00 59 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 jfkrucz. weebly. com Countdown Clock By Dr. Jeff Ertzberger

ATTENTION CHECK • IF YOU ARE READING THIS SLIDE, THAT MEANS YOU ARE PAYING

ATTENTION CHECK • IF YOU ARE READING THIS SLIDE, THAT MEANS YOU ARE PAYING ATTENTION. (GOOD JOB) • IF YOU ARE CONTINUING TO READ THIS SLIDE, THEN PLEASE PUT YOUR FINGER ON YOUR NOSE • THANK YOU! jfkrucz. weebly. com

On Your Own. . Graph the following: (0, -5) x=0 up min All Reals

On Your Own. . Graph the following: (0, -5) x=0 up min All Reals Domain: _____ y > -5 Range: _____ (0, -3) x=0 down max All Reals Domain: _____ y < -3 Range: _____ jfkrucz. weebly. com (-2, 2) x = -2 down max All Reals Domain: _____ y<2 Range: _____

2 7 2 0 5 3 We can set x equal to zero!!! 1

2 7 2 0 5 3 We can set x equal to zero!!! 1 1 3 5 jfkrucz. weebly. com 6

(0, -4) (2, 0) and (-2, 0) (0, 0) jfkrucz. weebly. com (0, 3)

(0, -4) (2, 0) and (-2, 0) (0, 0) jfkrucz. weebly. com (0, 3) none

HOMEWORK • DAY 2 HOMEWORK [ODDS ONLY] • Mini-Quiz Next Class q. Graphing Absolute

HOMEWORK • DAY 2 HOMEWORK [ODDS ONLY] • Mini-Quiz Next Class q. Graphing Absolute Values q. Stating Vertex/ Axis of Symmetry/ opening up or down q. Graphing Quadratics q. Stating Vertex/ Axis of Symmetry/ opening up or down jfkrucz. weebly. com

Q Good morning afternoon A Good morning afternoonQ Good morning afternoon A Good morning afternoon
Good morning children Good morning good morning GoodGood morning children Good morning good morning Good
Good morning children Good morning good morning GoodGood morning children Good morning good morning Good
Good Evening Good Afternoon Good Afternoon Good EveningGood Evening Good Afternoon Good Afternoon Good Evening
Good Morning Good Afternoon Good Evening Good NightGood Morning Good Afternoon Good Evening Good Night
Good morning good morning Good morning to youGood morning good morning Good morning to you
Good morning good morning Good morning to youGood morning good morning Good morning to you
Good morning good morning Good morning to youGood morning good morning Good morning to you
Good morning good morning to you good morningGood morning good morning to you good morning
Good morning good morning to you good morningGood morning good morning to you good morning
Good morning good morning Good morning to youGood morning good morning Good morning to you
Good morning good morning to you good morningGood morning good morning to you good morning
Good morning good morning to you good morningGood morning good morning to you good morning
Hello Hi Good morning Good afternoon Good eveningHello Hi Good morning Good afternoon Good evening
V V Organization moment Good afternoon good afternoonV V Organization moment Good afternoon good afternoon
Good Morning GREETINGS Teacher Good morning students GoodGood Morning GREETINGS Teacher Good morning students Good
Good Morning GREETINGS Teacher Good morning students GoodGood Morning GREETINGS Teacher Good morning students Good
Good Morning GREETINGS Teacher Good morning students GoodGood Morning GREETINGS Teacher Good morning students Good
Good morning Good afternoon No school Friday TodayGood morning Good afternoon No school Friday Today
Buenos das Good morning Buenas tardes Good afternoonBuenos das Good morning Buenas tardes Good afternoon
Buenos das Good morning Buenas tardes Good afternoonBuenos das Good morning Buenas tardes Good afternoon
Hello Hi Merhaba Good morning Gnaydn Good afternoonHello Hi Merhaba Good morning Gnaydn Good afternoon
13 Good morning ve Good afternoon kelimelerinin srasyla13 Good morning ve Good afternoon kelimelerinin srasyla
Good Morning Good Afternoon Geography 5 Themes ofGood Morning Good Afternoon Geography 5 Themes of