algebra – ch. 10.1 graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · ch. 10.1...
TRANSCRIPT
![Page 1: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/1.jpg)
Algebra–Ch.10.1Graphingax2+c
Mr.Deyo
![Page 2: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/2.jpg)
Bytheendoftheperiod,studentswillgraphquadraticequationsintheformofax2+c.
TheywilldemonstratethisbycompletingFour‐Squarenotesandbysolvingproblemsinapair/groupactivity.
Learning Target
![Page 3: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/3.jpg)
HomeWork1‐2‐3:1)Class4‐SquareNotesPutInBinder?
2)Section10.1Pg.608‐9 3)Section______TxtBk.Problems#3,4,5,7,11NotesCopiedonblanksheet 17,19 ofpaperinBinder?SolvedandPutinBinder?
TableofContentsDate Description DateDue
![Page 4: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/4.jpg)
Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer: 1. How are the two images similar? 2. How are they different? 3. How can these two images be related to math?
![Page 5: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/5.jpg)
1) parabola
2) vertex
3) axisofsymmetry
4) x‐intercept(root)
Vocabulary
![Page 6: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/6.jpg)
DAY 3 and/or DAY 4 1. Review the word
♦ Friendly Definition ♦ Physical Representation
2. Show how the word works ♦ Synonyms/antonym ♦ Word Problems ♦ Related words/phrases ♦ Example/non-example
Friendly Definition Sketch
Wordwork Sentence
DAY 2 1. Review word
♦ Friendly Definition ♦ Physical Representation
2. Draw a sketch
DAY 5 1. Review the word
♦ Friendly definition ♦ Physical Representation
3. Write a sentence at least 2 rich words (1 action) correct spelling correct punctuation correct subject/predicate agreement clear and clean writing
DAY 1 1. Use Visuals
2. Introduce the word ♦ Friendly Definition ♦ Physical Representation
3. Use Cognates
4. Write friendly definition
5. Physical Representation
WordList1. 2. 3. 4.
![Page 7: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/7.jpg)
For use with pages xxx–xxxDaily Warm-Up Exercises For use with pages 605–611
1. Graph 2x+3. y=
![Page 8: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/8.jpg)
For use with pages xxx–xxxDaily Warm-Up Exercises For use with pages 605–611
1. Graph 2x+3. y=
![Page 9: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/9.jpg)
Notes:QuadraticEquations(Parabolas)
y=ax2+c
axisofsymmetry: x=0
y‐intercept:(0,c)
ParentFunction: y=x2
aispositive
aisnegative
opensup
opensdown
![Page 10: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/10.jpg)
Graph y ax2 where | a | 1 Problem A/B Example 1
y = 3 x2 = x2 y
= >
vertex:
axis of symmetry:
Opens Up / Down?
vertex:
axis of symmetry:
Opens Up / Down?
Wider / Thinner?
![Page 11: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/11.jpg)
Graph y ax2 where | a | 1 Problem A/B Example 1
y = 3 x2 = x2 y
= >
x y x y
![Page 12: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/12.jpg)
Graph y ax2 where | a | 1 Problem C/D Example 1
y = -1 4
x2 = x2 y
= <
x y x y
![Page 13: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/13.jpg)
Graph y ax2 where | a | 1 Problem C/D Example 1
y = -1 4
x2 = x2 y
= <
vertex:
axis of symmetry:
Opens Up / Down?
vertex:
axis of symmetry:
Opens Up / Down?
Wider / Thinner?
![Page 14: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/14.jpg)
StormCheck(Think,Write,Discuss,Report)
![Page 15: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/15.jpg)
Graph y ax2 + c Problem A/B Example 1
y = x2 + 5 = x2 y
=
x y x y
![Page 16: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/16.jpg)
Graph y ax2 + c Problem A/B Example 1
y = x2 + 5 = x2 y
=
vertex:
axis of symmetry:
Opens Up / Down?
vertex:
axis of symmetry:
Opens Up / Down?
Wider / Thinner?
![Page 17: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/17.jpg)
Notes:
![Page 18: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/18.jpg)
Guided Practice for Examples 1, 2, and 3
Graph the function. Compare the graph with the graph of
= y 4x 2 –
= y x 2.
x y x y
![Page 19: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/19.jpg)
Guided Practice for Examples 1, 2, and 3
Graph the function. Compare the graph with the graph of
= y 4x 2 –
= y x 2.
ANSWER
The graph is a reflection in the x-axis of the graph of
= y 4x2 and is narrower. – the graph of = y x2.
![Page 20: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/20.jpg)
Guided Practice for Examples 1, 2, and 3
Graph the function. Compare the graph with the graph of
= y 2 3
= y x 2.
x y x y
![Page 21: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/21.jpg)
Guided Practice for Examples 1, 2, and 3
Graph the function. Compare the graph with the graph of
= y 3
= y x 2.
ANSWER
The graph is wider than the graph of = y x2.
![Page 22: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/22.jpg)
Guided Practice for Examples 1, 2, and 3
Graph the function. Compare the graph with the graph of
= y x 2 + 2
= y x 2.
x y x y
![Page 23: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/23.jpg)
Guided Practice for Examples 1, 2, and 3
Graph the function. Compare the graph with the graph of
= y x 2 + 2
= y x 2.
ANSWER
The graph is a vertical translation (of 2 units up) of the graph of = y x2.
![Page 24: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/24.jpg)
1) parabola
2) vertex
3) axisofsymmetry
4) x‐intercept(root)
Vocabulary
![Page 25: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/25.jpg)
HomeWork1‐2‐3:1)Class4‐SquareNotesPutInBinder?
2)Section10.1Pg.608‐9 3)Section______TxtBk.Problems#3,4,5,7,11NotesCopiedonblanksheet 17,19 ofpaperinBinder?SolvedandPutinBinder?
TableofContentsDate Description DateDue
![Page 26: Algebra – Ch. 10.1 Graphing ax2helpmeteach.weebly.com/uploads/1/7/1/0/17102056/... · Ch. 10.1 Graphing ax2 ... Questions on which to ponder and answer: 1. ... symmetry 4) x‐intercept](https://reader034.vdocuments.mx/reader034/viewer/2022052100/6039ea8435b76260df66c679/html5/thumbnails/26.jpg)
Bytheendoftheperiod,studentswillgraphquadraticequationsintheformofax2+c.
TheywilldemonstratethisbycompletingFour‐Squarenotesandbysolvingproblemsinapair/groupactivity.
Learning Target