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Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) 1 Quadratics-Lesson 5 AGENDA 1) Take out HW to be checked (Graphing and Identifying Parts of a Parabola) 2) DO NOW 3) HW questions?? 4) Angry Birds Video 2 ‐ recognizing zeros ‐ standard form vs factored form 5) JIGSAW: Creating Equations from graphs ‐ factored form ‐ standard form ‐ axis of symmetry ‐ verex 6) Funny cases & what comes next... HW: "Graphing from Factored Form" worksheet
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Page 1: AGENDAmsparisnnhs.weebly.com/.../quadratics_-_lesson_5.pdf · 2019-09-25 · Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) 1 Quadratics-Lesson

Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013)

1

Quadratics-Lesson 5

AGENDA

1)TakeoutHWtobechecked(Graphing and Identifying Parts of a Parabola)2)DONOW3)HWquestions??4)AngryBirdsVideo2‐recognizingzeros‐standardformvsfactoredform

5)JIGSAW:CreatingEquationsfromgraphs‐factoredform‐standardform‐axisofsymmetry‐verex

6)Funnycases&whatcomesnext...

HW: "Graphing from Factored Form" worksheet

Page 2: AGENDAmsparisnnhs.weebly.com/.../quadratics_-_lesson_5.pdf · 2019-09-25 · Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) 1 Quadratics-Lesson

Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013)

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Quadratics-Lesson 5

DONOW

AccordingtotheAngryBirdsgraphabove,answerthefollowingquestions:

1)DoesthisparabolaopenUPorDOWN(circleone)

2)DoesthisparaboloahaveaMAXorMIN(circleone)

4)Whatisthecoordinateofthevertex?(_______,_______)

5)TheequationfortheAxisofSymmetryis:x=___________

5)Whatisthecoordinateofthey‐intercept?(_______,_______)

6)Whatarethecoordinatesofthezeros?

(_______,_______)and(_______,_______)7)Whereshouldtherebeazeroifthebirdisgoingtohitthefarthestpig?(_______,_______)

Page 3: AGENDAmsparisnnhs.weebly.com/.../quadratics_-_lesson_5.pdf · 2019-09-25 · Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) 1 Quadratics-Lesson

Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013)

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Quadratics-Lesson 5

StandardForm(ExpandedForm)y=ax2+bx+c

FactoredForm

y=a(x‐zero)(x‐zero)

Angry Birds Video 2

Page 4: AGENDAmsparisnnhs.weebly.com/.../quadratics_-_lesson_5.pdf · 2019-09-25 · Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) 1 Quadratics-Lesson

Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013)

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Quadratics-Lesson 5

1)Locatethezerosbelow2)PlugthezerosintotheequationinFactoredForm3)UsetherootstoFindtheAxisofSymmetry4)Usetheaxisofsymmetrytobindthevertexalgebraically

*Challenge:ChangetheequationintoStandardForm(FOIL,Boxmethod,orDistribute)

a)

y=___(x‐__________)(x‐__________) y=___(x‐__________)(x‐__________)

y=___(x‐__________)(x‐__________) y=___(x‐__________)(x‐__________)

b)

c) d)

.

Page 5: AGENDAmsparisnnhs.weebly.com/.../quadratics_-_lesson_5.pdf · 2019-09-25 · Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) 1 Quadratics-Lesson

Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013)

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Quadratics-Lesson 5

e)

y=___(x‐__________)(x‐__________) y=___(x‐__________)(x‐__________)

f)

Notallparabolashavetwozeros...

Whatdoyoudoifyouaregivenanequationinstandardformandyouwanttobindthezeros?

y=x2‐5x‐14

FACTORING:

Multiplying

(x‐7)(x+2)=x2‐5x‐14

Factoring undoes the process of multiplied polynomials.

HW: "Graphing from Factored Form" worksheet

Whatcomesnext...

Page 6: AGENDAmsparisnnhs.weebly.com/.../quadratics_-_lesson_5.pdf · 2019-09-25 · Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) 1 Quadratics-Lesson

Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013) Quadratics (Dec. 2-6, 2013)

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Quadratics-Lesson 5

1)Plotthe"zeros"2)Usethe"zeros"tobindtheaxisofsymmetry(x=_____)3)Plugthex‐valueoftheaxisofsymmetryintoyourequationtogetthevertex4)Plotthevertex5)Sketchyourparabola

Thebirsthasbeendoneforyou.

a)y=‐(x‐3)(x‐8) b)y=‐(x‐7)(x+2)

c)y=(x)(x‐4) d)y=(x+5)(x‐1)

.

HW: "Graphing from Factored Form" worksheet