Algebra–Ch.10.1Graphingax2+c

Mr.Deyo

Bytheendoftheperiod,studentswillgraphquadraticequationsintheformofax2+c.

TheywilldemonstratethisbycompletingFour‐Squarenotesandbysolvingproblemsinapair/groupactivity.

Learning Target

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

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?

1)  parabola

2)  vertex

3)  axisofsymmetry

4)  x‐intercept(root)

Vocabulary

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. 

For use with pages xxx–xxxDaily Warm-Up Exercises For use with pages 605–611

1. Graph 2x+3. y=

For use with pages xxx–xxxDaily Warm-Up Exercises For use with pages 605–611

1. Graph 2x+3. y=

Notes:QuadraticEquations(Parabolas)

y=ax2+c

axisofsymmetry: x=0

y‐intercept:(0,c)

ParentFunction: y=x2

aispositive

aisnegative

opensup

opensdown

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?

Graph y ax2 where | a | 1 Problem A/B Example 1

y = 3 x2 = x2 y

= >

x y x y

Graph y ax2 where | a | 1 Problem C/D Example 1

y = -1 4

x2 = x2 y

= <

x y x y

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?

StormCheck(Think,Write,Discuss,Report)

Graph y ax2 + c Problem A/B Example 1

y = x2 + 5 = x2 y

=

x y x y

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?

Notes:

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

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.

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

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.

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

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.

1)  parabola

2)  vertex

3)  axisofsymmetry

4)  x‐intercept(root)

Vocabulary

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

Bytheendoftheperiod,studentswillgraphquadraticequationsintheformofax2+c.

TheywilldemonstratethisbycompletingFour‐Squarenotesandbysolvingproblemsinapair/groupactivity.

Learning Target