30
Mathematics Algebra 2 Curriculum and Instruction Professional Learning Conference August 17 and 18, 2009 © San Antonio Independent School District The San Antonio Independent School District does not discriminate on the basis of race, color, gender, religion, national origin, age, disability, or any other basis prohibited by law.

Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

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Page 1: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

Mathematics Algebra 2

Curriculum and Instruction Professional Learning Conference

August 17 and 18, 2009 © San Antonio Independent School District

The San Antonio Independent School District does not discriminate on the basis of race, color, gender, religion, national origin, age, disability, or any other basis prohibited by law.

Page 2: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?
Page 3: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

Literacy with an Attitude: Tools for the Thinking Classroom Teaching and Learning Professional Learning Conference San Antonio Independent School District, August 2009

AGENDA

August 17 and 18, 2009 Department: Mathematics Presenter: Mark Bell & Ed Gordon Grade Level: High School Contact Information: Mark Bell & Ed Gordon

Content NOTES

Norms

Participate actively o Ask questions o Take care of your neighbor o One person talks at a time

Take care of yourself. Electronic devices off or silent. It’s OK to have FUN!

Expectations

Preparation for Math Curriculum for 2009-2010 Academic Year Increase knowledge and encourage the use of best practices

Teaching and learning aligned with curriculum and assessments

Objectives & Overview

Speaker PM Aug 17: Frank Wang, “Beauty and Mathematics – Mathematician’s Search for Pattern and Order”

Curriculum Guide Update (Aug 17)

Writing in Math Class (Aug 17)

Vocabulary Tools (Aug 17 and Aug 18)

Cooperative Learning Structures (Aug 18)

Planning the First Week (Aug 18)

Q&A/Evaluation

Page 4: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?
Page 5: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 1

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

Mat

hem

atic

s –

Alg

ebra

2

Uni

t of S

tudy

: Fou

ndat

ions

of F

unct

ions

Firs

t Gra

ding

Per

iod

– W

eeks

1 -

4 (1

8 da

ys)

CURR

ICULU

M O

VERV

IEW

Endu

ring

Und

erst

andi

ngs

(Big

Idea

s)

Uni

t Rat

iona

le

Mea

nin

gfu

l ma

them

atic

s is

the

reco

gni

tion

of

patte

rns

and

the

abili

ty to

co

mm

unic

ate

that

pat

tern

in a

lan

guag

e th

at

is c

omm

only

und

erst

ood.

A

larg

e po

rtio

n of

thes

e pa

ttern

s ca

n b

e re

pres

ente

d b

y fu

nctio

ns.

Mat

hem

atic

al fu

nctio

ns e

nab

le u

s to

mod

el a

larg

e po

rtio

n of

the

tech

nica

l, ec

onom

ic

and

ph

ysic

al w

orld

. U

nder

sta

ndin

g th

eir

cha

ract

eris

tics

and

app

licat

ion

pote

ntia

l is

a ke

y to

co

ntin

ued

hum

an

pro

gres

s.

Esse

ntia

l Que

stio

ns

Gui

ding

Que

stio

ns

Wha

t are

the

stre

ngth

s a

nd w

eakn

esse

s of

usi

ng a

mat

hem

atic

al m

ode

l?

Ho

w c

an

I app

ly m

y kn

ow

ledg

e of

func

tions

to

real

life

situ

atio

ns?

Ho

w is

it u

sefu

l to

kno

w th

e gr

aphs

of p

aren

t fu

nctio

ns a

nd t

he e

ffect

s of

par

amet

er

chan

ges

on

the

grap

hs?

√W

hat a

re th

e in

depe

nden

t and

dep

ende

nt v

aria

bles

in th

e pr

oble

m s

ituat

ion?

Wha

t are

the

dom

ain

and

rang

e of

the

func

tion?

How

doe

s w

alki

ng r

ate

affe

ct th

e gr

aph,

the

tabl

e of

val

ues,

and

the

equa

tion?

How

can

we

use

the

tabl

e of

val

ues

to p

redi

ct if

the

data

is li

near

? √

Wha

t effe

ct d

oes

incr

easi

ng/d

ecre

asin

g th

e ra

te h

ave

on th

e gr

aph,

the

tabl

e of

val

ues,

and

the

equa

tion?

Wha

t are

the

dom

ains

and

ran

ges

of li

near

, qua

drat

ic, e

xpon

entia

l, lo

garit

hmic

, abs

olut

e va

lue,

squ

are

root

, and

rec

ipro

cal p

aren

t fun

ctio

ns?

√W

hat e

ffect

s do

tran

sfor

mat

ions

hav

e on

the

grap

hs o

f the

par

ent f

unct

ions

? TE

KS

(Sta

ndar

ds)

TEK

S Sp

ecifi

city

- In

tend

ed O

utco

me

2A.1

Fou

ndat

ions

for F

unct

ions

. T

he s

tude

nt u

ses

pro

pert

ies

and

attr

ibut

es o

f fu

nctio

ns a

nd a

pplie

s fu

nctio

ns

to p

robl

em s

ituat

ions

. T

he s

tude

nt is

exp

ecte

d to

:

2A

.1 (A

) ide

ntify

the

mat

hem

atic

al d

omai

ns a

nd r

ang

es o

f fun

ctio

ns a

nd

dete

rmin

e re

ason

abl

e do

ma

in a

nd r

ange

va

lues

for

cont

inu

ous

and

disc

rete

si

tuat

ions

.

2A

.1 (B

) col

lect

and

org

ani

ze d

ata,

mak

e a

nd in

terp

ret s

catte

rplo

ts, f

it th

e gr

aph

of

a fu

nctio

n to

the

data

, int

erpr

et t

he r

esul

ts, a

nd p

roce

ed

to m

ode

l, pr

edic

t, a

nd m

ake

deci

sion

s a

nd c

ritic

al ju

dgm

ent

s.

2A

.4 A

lgeb

ra a

nd G

eom

etry

. T

he s

tude

nt c

onn

ects

alg

ebra

ic a

nd

geom

etric

re

pres

enta

tion

s of

func

tions

.

2A

.4 (A

) ide

ntify

an

d sk

etch

gra

phs

of p

aren

t fu

nctio

ns, i

nclu

ding

line

ar (

f(x) =

x),

qu

adr

atic

(f(x

) = x

2 ),

exp

one

ntia

l (f(x

) = a

x ), a

nd lo

gar

ithm

ic (

f(x) =

log a

x)

func

tions

, ab

solu

te v

alu

e of

x (

f(x) =

I x

I ), s

quar

e ro

ot o

f x

(f(x)

= √

x),

and

rec

ipro

cal o

f x (

f(x) =

1/

x ).

2A

.4 (B

) ext

end

pare

nt fu

nctio

ns w

ith p

aram

eter

s su

ch a

s a

f(x)

= a

/x a

nd

desc

ribe

the

effe

cts

of p

aram

eter

cha

nge

s o

n th

e gr

aph

of p

are

nt fu

nctio

ns.

” I C

AN

” st

atem

ents

hig

hlig

hted

in y

ello

w a

nd it

alic

ized

sho

uld

be d

ispl

ayed

fo

r stu

dent

s.

I ca

n :

iden

tify

reas

onab

le d

omai

ns a

nd ra

nges

for a

ll fu

nctio

ns (2

A.1

A)

us

e da

ta to

gen

erat

e a

grap

h an

d a

func

tion

and

to m

ake

deci

sion

s (2

A.1

B)

id

entif

y an

d sk

etch

the

grap

hs o

f par

ent f

unct

ions

(lin

ear,

quad

ratic

, ex

pone

ntia

l, lo

garit

hmic

, abs

olut

e va

lue,

squ

are

root

and

reci

proc

al)

(2A

.4A

)

mak

e pa

ram

etric

cha

nges

to p

aren

t fun

ctio

ns a

nd d

escr

ibe

the

resu

lting

gr

aphs

(2A

.4B

)

Page 6: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 2

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

Evid

ence

of L

earn

ing

(Sum

mat

ive

Ass

essm

ent)

1.

Giv

en th

e e

qua

tion

or g

raph

of

seve

ral f

unct

ions

, the

stu

dent

will

det

erm

ine

the

dom

ain

an

d ra

nge

with

at

leas

t 80%

acc

urac

y.

2.

Giv

en a

set

of d

ata

rela

ting

two

varia

bles

, the

stu

dent

will

de

term

ine

a fu

nctio

nal

mod

el w

ith a

t lea

st 8

0%

acc

urac

y.

3.

Giv

en a

par

ent

func

tion

(line

ar,

qua

drat

ic, e

xpon

entia

l, ab

solu

te v

alue

, squ

are

root

or

reci

proc

al),

the

stud

ent

will

iden

tify

its g

raph

with

at l

east

80%

acc

urac

y.

4.

Giv

en a

par

ent

func

tion

(line

ar,

qua

drat

ic, e

xpon

entia

l, ab

solu

te v

alue

, squ

are

root

or

reci

proc

al),

the

stud

ent

will

ske

tch

its

grap

h w

ith a

t lea

st 8

0% a

ccur

acy.

5.

G

iven

a p

aram

etric

cha

nge

to a

par

ent f

unct

ion,

the

stud

ent

will

des

crib

e th

e ef

fect

on

the

grap

h w

ith a

t le

ast 8

0% a

ccur

acy.

N

ine

Wee

ks P

roje

ct: M

athe

mat

ical

Fun

ctio

ns in

Our

Wor

ld

Use

tele

visi

on

and

ne

wsp

ape

r re

port

s, n

ew

spap

er a

ds, i

nte

rnet

site

s an

d se

arch

es, b

usin

ess

sign

s, y

our

ow

n li

fe, e

tc.,

to fi

nd e

xam

ple

s of

mat

hem

atic

al fu

nctio

ns in

rea

l life

si

tuat

ions

. T

he fu

nctio

ns c

an

cons

ist o

f lin

ear,

qua

drat

ic, e

xpon

entia

l, lo

ga

rithm

ic, a

bso

lute

val

ue,

squ

are

root

and

rec

ipro

cal o

r co

mb

inat

ions

of t

hese

. In

som

e ca

ses

you

ma

y no

t kn

ow

wh

at t

ypes

of f

unct

ions

com

pose

the

mod

el.

The

ob

ject

ive

of th

e pr

ojec

t is

to r

ealiz

e th

e tr

emen

dou

s nu

mbe

r of

mat

hem

atic

al fu

nctio

ns in

volv

ed a

s w

e e

arn

mon

ey,

pa

y b

ills,

ch

eck

the

we

athe

r fo

reca

st, o

r lis

ten

to n

ew

s ab

out

the

sear

ch fo

r a

mis

sin

g pl

ane

. Y

our

pro

ject

sh

ould

con

tain

at l

east

50

exa

mp

les.

C

halle

nge

yo

urse

lf to

find

100

or

mor

e!

Rec

ord

your

func

tions

usi

ng

a c

hart

with

(1)

a v

erba

l des

crip

tion

of th

e fu

nct

ion,

(2)

do

cum

enta

tion

of

wh

ere

you

foun

d it,

and

(3)

one

oth

er r

epre

sent

atio

n of

the

func

tion

besi

des

the

verb

al d

escr

iptio

n.

Ass

essm

ent:

You

r pr

oje

ct w

ill b

e as

sess

ed f

or:

1.

Con

cept

ual

kn

ow

ledg

e –

the

corr

ect

iden

tific

atio

n of

fun

ctio

ns

2.

Pro

ced

ural

kn

ow

led

ge –

app

ropr

iate

rep

rese

ntat

ions

of f

unct

ions

3.

C

omm

unic

atio

n –

appr

opri

ate

use

of t

erm

ino

log

y N

ote:

Tea

cher

s m

ay r

efer

to th

e M

athe

mat

ics

Per

form

ance

Ass

essm

ent R

ubric

in th

e R

egio

n 4

TA

KS

Mat

hem

atic

s P

repa

ratio

n T

extb

ook

for

furt

her

info

rmat

ion

on a

sses

smen

t.

Page 7: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 3

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

CURR

ICULU

M G

UID

E Es

sent

ial P

re-r

equi

site

Ski

lls

Alg

ebra

1

de

scrib

e in

dep

end

ent a

nd

depe

nde

nt q

uant

ities

in fu

nctio

nal

rel

atio

nshi

ps (

A.1

A)

ga

ther

and

rec

ord

data

and

use

dat

a se

ts to

det

erm

ine

func

tiona

l rel

atio

nshi

ps b

etw

een

qua

ntiti

es (

A.1

B)

de

scri

be fu

nctio

nal r

elat

ions

hips

for

give

n pr

oble

m s

ituat

ion

s an

d w

rite

equ

atio

ns o

r in

equ

aliti

es to

ans

wer

que

stio

ns a

risi

ng fr

om th

e si

tuat

ions

(A

.1C

)

ide

ntify

mat

he

mat

ical

dom

ain

s an

d ra

nge

s a

nd d

eter

min

e re

aso

nabl

e d

om

ain

and

ra

nge

valu

es fo

r gi

ven

situ

atio

ns, b

oth

cont

inuo

us a

nd d

iscr

ete

(A.2

B)

in

terp

ret s

ituat

ions

in te

rms

of g

iven

gra

phs

or

crea

te s

ituat

ions

that

fit g

iven

gra

phs

(A.2

C)

us

e sy

mbo

ls to

rep

rese

nt u

nkno

wn

s an

d va

riab

les

(A.3

A)

lo

ok fo

r pa

ttern

s an

d re

pres

en

t ge

nera

lizat

ion

s al

gebr

aica

lly (

A.3

B)

fin

d sp

ecifi

c fu

nctio

n va

lues

, sim

plify

pol

yno

mia

l exp

ress

ions

, tr

ansf

orm

and

sol

ve e

qua

tions

, and

fact

or a

s ne

cess

ary

in p

robl

em s

ituat

ions

(A

.4A

)

use

the

com

mut

ativ

e, a

ssoc

iativ

e, a

nd d

istr

ibut

ive

prop

ertie

s to

sim

plify

alg

ebr

aic

exp

ress

ions

(A

.4B

)

conn

ect e

quat

ion

nota

tion

with

func

tion

nota

tion,

suc

h as

y =

x +

1 a

nd f(

x) =

x +

1 (

A.4

C)

Geo

met

ry

se

lect

an

app

ropr

iate

rep

rese

ntat

ion

(co

ncre

te, p

icto

rial,

grap

hic

al, v

erb

al o

r sy

mb

olic

) in

ord

er to

sol

ve p

rob

lem

s (G

.4)

us

e nu

mer

ic a

nd g

eom

etric

pat

tern

s to

dev

elo

p a

lge

bra

ic e

xpre

ssio

ns r

epre

sent

ing

geo

met

ric p

rop

ertie

s (G

.5A

)

use

pro

pert

ies

of tr

ansf

orm

atio

ns a

nd

thei

r co

mpo

sitio

ns to

mak

e co

nne

ctio

ns b

etw

ee

n m

athe

mat

ics

and

the

real

wor

ld,

such

as

tess

ella

tions

(G

.5C

)

The

Teac

hing

Pla

n In

stru

ctio

nal M

odel

& T

each

er D

irect

ions

Th

e te

ache

r will

So s

tude

nts

can…

.

Day

1 -

Firs

t day

of s

choo

l

Com

plet

e ad

min

istr

ativ

e ta

sks

as a

ssig

ned

by

cam

pus

Est

ablis

h cl

assr

oom

rul

es a

nd p

roce

dur

es

P

rese

nt a

co

urse

ove

rvie

w –

pos

sibl

y w

ith c

ours

e p

acin

g g

uid

e 1.

T

opic

s co

vere

d 2.

T

extb

ook

and

othe

r re

sour

ces

3.

Qui

zzes

and

exa

ms

4.

Ho

w A

lgeb

ra 2

fits

bet

we

en A

lgeb

ra 1

/Geo

m &

Pre

calc

ulu

s

Exp

ecta

tions

Sup

plie

s/m

ater

ials

list

5.

3-

ring

bin

der

– to

hol

d n

otes

and

cla

ssro

om a

ctiv

ities

6.

sp

iral n

oteb

ook

– fo

r jo

urna

ling

Day

1 -

Firs

t day

of s

choo

l

Day

2 -

Iceb

reak

er

The

goa

l is

to e

stab

lish

with

the

stu

dent

s th

at th

is w

ill b

e a

stu

dent

-cen

tere

d cl

assr

oom

with

the

teac

her

ofte

n pe

rfor

min

g th

e ro

le o

f fac

ilita

tor

wh

ile th

e st

uden

ts

colla

bora

te a

nd

refle

ct.

C

hoos

e yo

ur s

peci

fic a

ctiv

ity f

rom

list

pro

vide

d –

each

iceb

reak

er h

as li

ste

d an

in

ten

ded

dire

ct p

urpo

se, p

roce

dure

s an

d va

riat

ions

Dec

ide

wh

ethe

r to

do

it as

wh

ole

clas

s, s

mal

l gro

up, p

airs

or

indi

vidu

als

A

llow

the

stud

ent

s to

exe

cute

the

activ

ity a

s fr

ee fr

om te

ach

er

dire

ctio

n as

po

ssib

le to

rei

nfo

rce

your

rol

e as

faci

litat

or

A

fter

com

plet

ion

of th

e ic

ebre

aker

act

ivity

, dir

ect t

he s

tude

nts

to r

efle

ct o

n w

hat

the

y e

xper

ienc

ed b

y sm

all g

roup

dis

cuss

ion

(5 m

inut

es)

and

jo

urn

al e

ntry

(5

min

utes

)

D

ay 2

- Ic

ebre

aker

activ

ely

par

ticip

ate

in th

e ic

ebre

aker

act

ivity

te

ll w

hat

the

y le

arn

ed o

r e

xpe

rienc

ed in

bot

h th

e br

ief s

mal

l gro

up

disc

ussi

on a

nd

the

jour

nal e

ntry

Page 8: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 4

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

Day

3 –

Cal

cula

tor A

ctiv

ities

En

gage

(5 m

in.)

Stu

dent

s us

e th

eir

jour

nal

s to

rec

ord

thei

r co

mfo

rt le

vel w

ith th

e gr

aph

ing

calc

ulat

or o

n a

scal

e of

1 (

non

e) to

5 (

expe

rt)

and

writ

e a

bout

“W

hen

is th

e g

raph

ing

calc

ulat

or m

ost

help

ful t

o m

e, a

nd w

he

n is

it le

ast h

elpf

ul?”

Ex

plor

e (2

0-3

0 m

in)

– di

stri

but

e gr

aphi

ng c

alcu

lato

rs

ha

nd

out t

he C

alcu

lato

r In

trod

uctio

n A

ctiv

ity a

nd h

ave

the

stud

ents

com

ple

te

the

first

four

pag

es (

basi

c gr

aph

ing

calc

ulat

or

kno

wle

dge)

in p

airs

. T

his

shou

ld

go p

rett

y qu

ickl

y si

nce

mos

t stu

dent

s sh

ould

be

quite

fam

ilia

r w

ith th

e T

I 83/

84.

+

ha

ve th

e st

ude

nts

finis

h th

e la

st fo

ur p

ages

(W

hat D

o Y

ou K

now

? ) u

sin

g a

grap

hin

g ca

lcul

ator

to c

ompl

ete

mat

h ca

lcu

latio

ns in

divi

dual

ly w

ith c

olla

bora

tion

amon

g st

ude

nts

allo

we

d.

Ans

we

r qu

estio

ns a

s ne

ede

d.

Expl

ain

(5-1

0 m

in)

– re

vie

w a

reas

of d

iffic

ulty

on

the

two

activ

ities

with

the

clas

s El

abor

ate

(5-1

0 m

in) O

n po

ster

pap

ers

post

ed s

ome

wh

ere

in th

e ro

om,

di

rect

stu

dent

s in

turn

to li

st w

hen

the

grap

hing

cal

cula

tor

is m

ost h

elpf

ul o

r le

ast h

elp

ful t

o th

em (

this

ma

y oc

cur

as o

ther

stu

dent

s ar

e co

mpl

etin

g th

e ac

tivity

)

solic

it st

uden

t com

men

ts in

who

le g

rou

p di

scus

sio

n on

the

lists

Eval

uate

(1-2

min

)

ask

stud

ents

if th

eir

gra

phin

g ca

lcul

ator

com

fort

leve

l ch

ang

ed

di

rect

stu

dent

s to

indi

cate

on

fron

t pag

e(s)

of

activ

ities

the

ir co

mfo

rt le

vel o

n a

scal

e of

1 to

5

co

llect

act

ivity

at e

nd o

f cla

ss (

if co

mpl

ete)

or

next

da

y an

d ch

eck

for

sign

s of

di

fficu

lty

Day

3 –

Cal

cula

tor A

ctiv

ities

En

gage

indi

cate

com

fort

leve

l with

gra

phin

g ca

lcul

ato

r on

sca

le o

f 1 -

5

co

nsid

er w

hen

a g

rap

hin

g ca

lcul

ator

has

be

en

mos

t and

lea

st h

elpf

ul in

pre

viou

s m

ath

cour

ses

Expl

ore

co

mpl

ete

with

a p

artn

er th

e q

uest

ions

on

ba

sic

grap

hin

g ca

lcul

ator

pro

ced

ures

com

plet

e in

div

idua

lly th

e ”W

hat

Do

You

Kn

ow

” ac

tivity

feel

ing

free

to a

sk fe

llow

st

uden

ts o

r th

e te

ache

r fo

r as

sist

ance

wh

en n

eede

d.

Expl

ain

re

vie

w t

wo

activ

ities

an

d as

k qu

estio

ns

Elab

orat

e

list

wh

ere

ind

icat

ed o

n po

ster

pap

er s

ituat

ion

s w

her

e th

e gr

aph

ing

calc

ula

tor

is v

ery

help

ful (

e.g.

, ord

er o

f ope

ratio

ns, g

raph

ing

func

tions

, ge

nera

ting

tab

les)

and

thos

e w

hen

it is

not

ver

y he

lpfu

l (e.

g.,

men

tal m

ath,

ne

w c

once

pts)

indi

cate

wh

en a

sked

if y

our

gra

phin

g ca

lcu

lato

r co

mfo

rt le

vel c

hang

ed s

ince

the

beg

inn

ing

of c

lass

Eva

luat

e

han

d in

act

iviti

es w

he

n co

mpl

ete

ind

icat

ing

gra

phin

g ca

lcu

lato

r co

mfo

rt le

vel

Day

4 –

Intr

oduc

tion

to F

unct

ions

Le

sso

n 1.

1 (p

age

s 1-

9) in

Acc

eler

ated

Cur

ricu

lum

for

Mat

hem

atic

s G

rade

11

Exi

t T

AK

S fr

om R

egio

n 4

Enga

ge (5

-7 m

inut

es)

co

nduc

t dem

ons

trat

ion

with

a m

ultip

le-s

ettin

g fa

n (o

r a

radi

o/C

D/IP

OD

with

a

volu

me

cont

rol)

by

adj

ustin

g fa

n sp

eed

(or

vol

ume)

ask

follo

win

g q

uest

ions

in w

hol

e cl

ass

cont

ext

afte

r a

5-10

sec

ond

pair-

shar

e be

twe

en p

artn

ers

1.

Wha

t did

you

not

ice

as I

chan

ged

setti

ngs

on

the

fan

(or

volu

me)

? 2.

Is

the

spee

d of

the

fan

rela

ted

to th

e se

tting

s?

3.

Wha

t w

as th

e “c

ause

” in

this

situ

atio

n?

4.

Wha

t w

as t

he “

effe

ct”

in t

his

situ

atio

n?

5.

Do

the

fan

and

its

setti

ngs

dem

onst

rate

a c

aus

e an

d ef

fect

re

latio

nsh

ip?

6.

Is th

ere

a de

pe

nde

nt r

elat

ions

hip

?

Day

4 –

Intr

oduc

tion

to F

unct

ions

En

gage

obse

rve

dem

ons

trat

ion

of fa

n w

ith s

elec

tabl

e se

tting

s in

a c

ause

-effe

ct r

elat

ions

hip

(2A

.1A

)

answ

er

oral

ly q

uest

ion

rela

ted

to o

bser

vatio

ns

(2A

.1A

)

Page 9: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 5

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

Expl

ore

(10-

12

min

utes

)

arra

nge

stu

den

ts in

gro

ups

of 3

have

gro

ups

mak

e a

list o

f oth

er c

ause

and

effe

ct r

elat

ions

hip

s

colle

ct a

few

sta

tem

ents

from

eac

h gr

oup

for

a cl

ass

list

di

scus

s as

a c

lass

wh

ich

is th

e ca

use

and

whi

ch is

the

effe

ct, u

nder

linin

g ca

use

with

on

e lin

e a

nd e

ffect

with

two

lines

(e.

g., T

he s

peed

of t

he fa

n d

epe

nds

on

the

setti

ng.)

have

gro

ups

do

the

unde

rlin

ing

with

the

ir lis

ts

w

he

n gr

oups

are

com

plet

e w

ith th

e ta

sk, a

sk a

s a

who

le c

lass

act

ivity

for

som

e sy

non

yms

for

caus

e a

nd e

ffect

Expl

ain

(12-

15 m

inut

es)

sh

ow

Tod

dler

Tun

es li

st fr

om p

age

4 an

d e

xpla

in th

at th

e n

umbe

r of

eac

h so

ng

is th

e C

D tr

ack

num

ber

wh

ich

is h

ow

the

tune

s ar

e se

lect

ed

elic

it u

nder

sta

ndi

ng

of th

e in

put

/out

put p

roce

ss b

y as

king

1.

W

hat p

lays

wh

en I

sele

ct 8

on

the

CD

pla

yer?

2.

W

hat p

lays

wh

en I

sele

ct 4

on

the

CD

pla

yer?

3.

Is

ther

e a

rela

tions

hip

bet

wee

n th

e nu

mb

er s

elec

ted

and

wh

ich

tune

pla

ys?

4.

Is it

pos

sibl

e to

sel

ect t

wo

diffe

rent

num

bers

and

get

the

sam

e tu

ne?

5.

Is it

pos

sibl

e to

sel

ect t

wo

num

bers

at t

he s

ame

time

and

hear

tw

o tu

nes

pla

ying

?

ask

the

stud

ent

s to

com

plet

e th

e T

oddl

er T

unes

act

ivity

she

et (

page

5)

Elab

orat

e (6

-10

min

utes

)

ask

grou

ps to

list

gra

phic

al e

xam

ples

and

no

n-e

xam

ples

of

func

tions

. If

seve

ral

grou

ps d

o n

ot r

emem

ber

wha

t de

fines

a fu

nctio

n, r

evie

w fo

r th

e cl

ass

the

vert

ical

line

test

whi

ch w

ill b

e fo

rmal

ly d

iscu

ssed

in to

mor

row

’s le

sso

n.

di

rect

the

stud

ents

to c

ompl

ete

Fun

ctio

n or

Not

act

ivity

(pa

ge 9

).

Eval

uate

colle

ct F

unct

ion

or N

ot a

ctiv

ity s

heet

for

cur

rent

leve

l of k

now

led

ge o

f ver

tical

lin

e te

st.

Expl

ore

lis

t oth

er c

ause

/effe

ct r

elat

ions

hips

as

par

t of a

gro

up

(2A

.1A

)

cont

ribut

e to

cla

ss d

iscu

ssio

n on

wh

ich

is th

e c

ause

(un

derl

ine

once

) an

d w

hic

h is

the

effe

ct (

unde

rlin

e tw

ice)

(2A

.1A

)

cont

ribut

e to

the

requ

est f

or s

ynon

yms

for

caus

e an

d ef

fect

pai

ring

(2A

.1A

) Ex

plai

n

liste

n to

teac

her

pres

enta

tion

on a

list

of T

oddl

er T

unes

an

d a

nsw

er c

lass

que

stio

ns

oral

ly (

2A

.1A

)

com

plet

e T

oddl

er T

unes

act

ivity

she

et (

2A.1

A)

Elab

orat

e

gen

erat

e as

pa

rt o

f gro

up a

list

of e

xam

ple

s a

nd n

on-

exa

mpl

es o

f fun

ctio

ns (

2A.1

A)

co

mpl

ete

as m

uch

of F

unct

ion

or N

ot a

ctiv

ity a

s kn

ow

ledg

e an

d tim

e a

llow

(2A

.1A

) Ev

alua

te

su

bmit

Fun

ctio

n or

Not

act

ivity

sh

eet

Day

5 –

Rel

atio

ns a

nd F

unct

ions

(tex

t sec

tion

2.1

page

s 72

-79)

B

esid

es in

trod

ucin

g m

ath

con

tent

, tw

o go

als

for

toda

y ar

e:

1.

intr

oduc

ing

stu

dent

s to

the

text

2.

sh

ow

ing

the

stud

ent

s th

e di

rect

-tea

ch m

etho

d of

inst

ruct

ion

for

a la

ter

com

paris

on to

a m

ore

stud

ent

-cen

tere

d ap

proa

ch

Enga

ge/E

xplo

re (

10 m

inut

es)

di

rect

stu

dent

s to

pag

e xx

iii o

f te

xt, U

sin

g Y

our

Tex

tbo

ok

as

sig

n pa

irs to

rea

d th

is p

age

by

“jig

saw

met

hod”

1.

In

Eve

ry C

hapt

er is

rea

d b

y o

ne s

tude

nt fo

r 2-

4 m

inut

es

2.

Stu

dent

Res

ourc

es a

t the

Bac

k of

the

Boo

k is

rea

d b

y ot

her

for

2-4

min

utes

3.

A

fter

2-4

min

utes

, hav

e fir

st s

tude

nt p

rese

nt th

e im

por

tant

poi

nts

of In

Eve

ry C

hap

ter

ora

lly to

sec

ond.

4.

T

hen

have

sec

ond

stud

ent p

rese

nt th

e im

po

rtan

t poi

nts

of th

e S

tude

nt R

esou

rces

at t

he B

ack

of th

e B

ook

to fi

rst

di

rect

stu

dent

s to

Cha

pter

2 a

nd b

ack

of th

e bo

ok to

se

e ite

ms

disc

usse

d

Day

5 –

Rel

atio

ns a

nd F

unct

ions

(tex

t sec

tion

2.1

page

s 72

-79)

En

gage

/Exp

lore

read

pag

e xx

iii o

f tex

t ent

itle

d “U

sing

You

r T

extb

ook”

usi

ng J

igsa

w M

etho

d w

ith y

ou

beco

min

g th

e ex

pert

on

your

ass

igne

d te

xt a

nd p

rese

ntin

g th

e im

por

tant

poi

nts

to y

our

part

ner.

Y

our

part

ner

will

rec

ipro

cate

with

his

/her

ass

igne

d te

xt.

Page 10: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 6

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

Expl

ain

(30

min

utes

)

pr

ese

nt to

stu

dent

s th

e ke

y co

ncep

t of R

epr

ese

ntin

g R

elat

ions

by

refe

rrin

g to

te

xt,

wri

ting

on t

he b

oard

or

usin

g e

ither

an

ove

rhe

ad o

r LC

D p

roje

ctor

pres

ent

exa

mp

les

1 (r

epre

sen

t rel

atio

ns)

& 2

(id

ent

ify fu

nctio

ns)

di

rect

stu

dent

s to

com

plet

e in

dep

end

ently

the

gui

ded

pra

ctic

e on

pa

ge 7

3

repe

at th

ese

sam

e 3

step

s fo

r V

ertic

al L

ine

Tes

t. S

kip

Gra

phin

g E

qua

tion

s in

T

wo

Var

iabl

es

Elab

orat

e

ask

the

stud

ent

s w

het

her

the

grap

h id

ent

ifie

d in

the

first

key

co

ncep

t and

E

xam

ple

1 is

a g

raph

or

a sc

atte

rplo

t Ev

alua

te

m

onito

r co

mp

letio

n of

gui

ded

pra

ctic

e

assi

gn h

ome

wor

k pr

oble

ms

5,

11, 1

6 an

d 2

3

Expl

ain

lis

ten

and

take

not

es a

s te

ach

er p

rese

nts

mat

eria

l on

repr

esen

ting

rela

tions

and

the

vert

ical

line

(2

A.1

)

com

plet

e th

e g

uid

ed p

ract

ice

as a

ssig

ned

– re

pres

entin

g re

latio

ns a

nd th

e ve

rtic

al li

ne

test

(2A

.1)

Elab

orat

e

answ

er

the

cla

ss q

uest

ion

on w

het

her

the

item

labe

led

as a

gra

ph

on p

age

72 u

nde

r K

ey

Con

cept

and

in E

xam

ple

1 is

rea

lly a

gra

ph. (

2A.1

) Ev

alua

te

as

k te

ache

r fo

r as

sist

ance

if r

equ

ired

for

gui

ded

prac

tice

co

mpl

ete

hom

ew

ork

assi

gnm

ent c

over

ing

repr

ese

ntin

g re

latio

ns a

nd

the

vert

ical

lin

e te

st (

2A.1

) D

ay 6

– D

omai

n &

Ran

ge

Enga

ge/E

xplo

re (2

0 -

30 m

inut

es)

– ac

tivat

ion

of p

rior

kno

wle

dge

di

vid

e st

uden

ts in

to 2

gro

ups

for

an a

ctiv

ity c

alle

d W

ord

Ma

ppin

g

as

sig

n ea

ch g

roup

a s

ing

le w

ord

– ei

ther

“ra

nge”

or

“dom

ain”

ask

each

gro

up

to li

st o

n po

ster

pap

er a

s m

an

y w

ord

s or

term

s as

pos

sib

le

asso

ciat

ed w

ith th

eir

assi

gne

d w

ord

. T

his

is a

“st

ream

of c

onsc

ious

nes

s”

activ

ity –

just

blu

rt o

ut a

nd h

ave

a se

lect

ed

reco

rder

writ

e.

in

stru

ct e

ach

gro

up to

com

e u

p w

ith a

con

sens

us “

pres

enta

ble

list”

afte

r a

grou

p di

scus

sion

ha

ve th

e ea

ch g

rou

p’s

sele

cte

d sp

okes

pers

on

pres

ent

the

list t

o th

e en

tire

clas

s.

Eac

h gr

oup

ma

y as

k th

e ot

her

ques

tions

to e

ither

exp

lain

or

clar

ify w

hy

som

e ch

oice

s w

ere

incl

ude

d.

on

a s

epar

ate

shee

t of p

oste

r pa

per

with

a b

ig V

enn

Dia

gra

m a

lrea

dy

dra

wn,

ha

ve e

ach

gro

up w

rite

the

ir o

wn

list’s

ent

ries

in th

e ap

prop

riat

e ci

rcle

s.

A

sk s

tude

nts

to jo

urna

l abo

ut th

e te

rms

dom

ain

and

ra

nge:

Wha

t are

the

sim

ilari

ties

bet

we

en

dom

ain

and

ran

ge?

Wha

t are

the

diffe

renc

es?

U

se V

enn

Dia

gra

m to

con

duct

a c

lass

dis

cuss

ion

abo

ut th

e si

mila

ritie

s a

nd

diffe

renc

es o

f dom

ain

an

d ra

nge

Expl

ain

(15

– 20

min

utes

; w

ill e

xten

d in

to a

not

her

day)

dist

ribut

e D

omai

n a

nd R

ang

e P

ract

ice

to s

tude

nts

to c

ompl

ete

in p

airs

Day

6 –

Dom

ain

& R

ange

En

gage

/Exp

lore

co

ntrib

ute

wor

ds a

ssoc

iate

d w

ith y

our

assi

gne

d gr

oup’

s (r

ang

e or

dom

ain

) w

ord

and

assi

st in

pre

pari

ng a

“pr

esen

tab

le”

list (

2A

.1A

)

aler

tly li

sten

to b

oth

gro

up’s

pre

sent

atio

ns o

n ra

nge

and

dom

ain

and

ask

an

y d

esire

d qu

estio

ns o

r of

fer

com

men

ts (

2A.1

A)

as

sist

in a

ddi

ng

your

gro

up’s

list

of

wor

ds to

the

prep

are

d V

enn

dia

gram

(2

A.1

A)

jo

urna

l abo

ut th

e si

mila

ritie

s an

d d

iffer

ence

s be

twee

n do

mai

n a

nd r

ang

e (2

A.1

A)

pa

rtic

ipat

e in

the

ques

tions

an

d re

sulti

ng d

iscu

ssio

n on

the

Ven

n d

iagr

am (

2A.1

A)

Expl

ain

co

mpl

ete

the

Dom

ain

and

Ran

ge a

ctiv

ity w

ith a

par

tner

(w

ill p

rob

ably

ext

end

until

ne

xt

clas

s) (

2A.1

A)

D

ay 7

– D

omai

n &

Ran

ge c

ont’d

Ex

plai

n (1

0 –

15 m

inut

es)

co

ntin

ue D

oma

in a

nd

Ra

nge

act

ivity

to c

omp

letio

n

Day

7 –

Dom

ain

& R

ange

con

t’d

Expl

ain

co

mpl

ete

the

Dom

ain

and

Ran

ge a

ctiv

ity w

ith a

par

tner

(co

ntin

ued

from

pre

viou

s cl

ass)

(2

A.1

A)

Page 11: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 7

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

Elab

orat

e (5

min

utes

) –

jour

nal w

ritin

g

H

ave

stud

ents

com

pare

the

clas

s de

finiti

ons

for

dom

ain

and

ran

ge w

ith

mea

nin

gs o

utsi

de th

e m

ath

clas

sroo

m –

i.e.

, sc

ienc

e, s

ocia

l stu

dies

, te

chno

log

y, c

osm

etol

og

y, a

uto

mec

hani

cs,

etc.

Ev

alua

te (1

5-2

0 m

inut

es)

ha

ve s

tud

ents

ans

we

r th

e fo

llow

ing

ques

tion

s in

divi

dual

ly o

n pa

per

an

d th

en

disc

uss

with

a p

artn

er in

pre

par

atio

n fo

r a

clas

s di

scus

sion

: 1.

In

pro

blem

2, w

hat

are

the

mea

nin

gs o

f the

“bl

ack”

and

“w

hite

” ci

rcle

s?

2.

In p

robl

em 1

, wh

at is

the

sig

nific

anc

e of

the

arr

ow

s on

the

tips

of th

e lin

es?

3.

In p

robl

em 2

3, w

hat

do

es th

e ho

rizon

tal d

otte

d lin

e si

gni

fy?

4.

In

pro

blem

24,

wh

y no

arr

ow

tips

?

5.

Did

the

Wor

d M

app

ing

activ

ity h

elp

you

com

plet

e th

e gr

aph

-rea

ding

ac

tivity

?

cons

ider

a 2

-4 p

rob

lem

po

p q

uiz

for

a qu

ick

eval

uatio

n an

d to

sho

w s

tud

ents

an

oth

er m

etho

d yo

u ha

ve fo

r ev

alua

ting

the

m.

Elab

orat

e

co

mpa

re d

efin

ition

s fo

r do

ma

in a

nd r

ang

e w

ith u

se o

f the

se te

rms

outs

ide

of m

ath

(2A

.1A

) Ev

alua

te

an

swe

r qu

estio

ns r

egar

din

g th

e sy

mb

ols

asso

ciat

ed

with

the

Dom

ain

an

d R

ange

ac

tivity

(2A

.1A

)

wri

te in

jour

nal

reg

ardi

ng

clas

sroo

m s

trat

egie

s us

ed, a

s w

ell a

s ho

w d

o I l

ear

n be

st

(2A

.1A

)

Day

8 –

Dat

a C

olle

ctio

n 5-

7 P

rob

lem

Mul

tiple

Ch

oice

Fun

ctio

ns Q

uiz

over

da

ys 3

-7 (

20 m

inut

es)

ad

min

iste

r qu

iz (

15 m

inut

es)

ex

cha

nge

pap

ers

to g

rade

(5

min

utes

)

colle

ct g

rade

d pa

per

s

Enga

ge (5

min

utes

)

in a

wh

ole

clas

s se

tting

, ask

stu

dent

s h

ow

long

it w

ould

take

them

to w

alk

a

mile

and

if th

ey

have

eve

r b

een

timed

wh

ile d

oin

g so

. Ask

them

wh

at th

ey

thin

k w

oul

d be

a g

ood

time

and

the

n a

“nor

ma

l” tim

e fo

r a

mile

wal

k.

Con

side

r pr

ese

ntin

g so

me

data

from

the

inte

rnet

on

such

tim

es.

Expl

ore

(15-

20

min

utes

– m

ight

ext

end

to fo

llow

ing

day)

dist

ribut

e W

alki

ng R

ates

act

ivity

to e

ach

stu

den

t

dire

ct s

tude

nts

in g

roup

s of

2 o

r 3

to c

ompl

ete

the

activ

ity –

dis

tanc

e ta

ble

gen

erat

ion

fro

m r

ates

giv

en,

grap

hin

g on

a d

ista

nce

vers

us

time

grap

h,

answ

erin

g so

me

rela

ted

ques

tions

, the

n de

term

inin

g w

het

her

anot

her

set o

f gi

ven

data

ca

n be

rep

rese

nted

line

arly

mon

itor

gro

up p

rogr

ess

to a

nsw

er

any

que

stio

ns th

ey

mig

ht h

ave

Day

8 –

Dat

a C

olle

ctio

n

com

plet

e qu

iz (

2A.1

A)

Enga

ge

an

swe

r qu

estio

ns r

elat

ed

to a

stu

dent

wa

lkin

g a

mile

and

tim

e ta

ken

to d

o s

o (2

A.1

B)

Expl

ore/

Expl

ain

co

mpl

ete

wal

king

rat

e ac

tivity

in a

gro

up o

f 2

or 3

- d

ista

nce

tabl

e g

ener

atio

n fr

om r

ates

gi

ven,

gra

phi

ng

on a

dis

tanc

e v

ersu

s tim

e gr

aph,

ans

we

ring

som

e re

late

d qu

estio

ns,

then

det

erm

inin

g w

het

her

an

othe

r se

t of g

iven

dat

a ca

n be

rep

rese

nted

line

arly

(2A

.1B

)

Day

9 D

ata

Col

lect

ion

cont

’d

Expl

ore

(5-1

0 m

inut

es –

co

ntin

ued

from

pre

viou

s d

ay)

dire

ct s

tude

nts

in g

roup

s of

2 o

r 3

to c

ompl

ete

yest

erda

y’s

activ

ity

mon

itor

grou

p pr

ogre

ss to

an

swe

r an

y q

uest

ions

the

y m

ight

hav

e an

d to

de

term

ine

wh

en

to tr

ansi

tion

to n

ext

act

ivity

Ex

plai

n (5

-10

min

utes

)

cond

uct c

lass

dis

cuss

ion

on W

alki

ng R

ates

act

ivity

Day

9 D

ata

Col

lect

ion

cont

’d

Expl

ore/

Expl

ain

co

mpl

ete

wal

king

rat

e ac

tivity

in a

gro

up o

f 2

or 3

- d

ista

nce

tabl

e g

ener

atio

n fr

om r

ates

gi

ven,

gra

phi

ng

on a

dis

tanc

e v

ersu

s tim

e gr

aph,

ans

we

ring

som

e re

late

d qu

estio

ns,

then

det

erm

inin

g w

het

her

an

othe

r se

t of g

iven

dat

a ca

n be

rep

rese

nted

line

arly

(2A

.1B

)

Page 12: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 8

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

Elab

orat

e (2

0-25

min

utes

)

dist

ribut

e W

alk-

A-T

hon

activ

ity to

eac

h st

ude

nt –

stil

l in

sam

e gr

oups

of 2

or

3

di

rect

com

ple

tion

of th

is m

one

y re

late

d ac

tivity

usi

ng th

e gr

aph

ing

calc

ula

tor

as

a to

ol

mon

itor

grou

p pr

ogre

ss to

an

swe

r an

y q

uest

ions

the

y m

ight

hav

e

cond

uct c

lass

dis

cuss

ion

on a

ctiv

ity

Ev

alua

te (5

min

utes

)

colle

ct a

ctiv

ity p

acke

ts to

che

ck fo

r co

mpl

ete

ness

an

d ev

ide

nce

of le

arni

ng

di

rect

jour

nal e

ntry

on

thes

e 2

act

iviti

es:

How

do

you

det

erm

ine

wh

ich

repr

esen

tatio

n of

a fu

nctio

n (c

oncr

ete

mo

del,

tabl

e, g

rap

h, d

iagr

am, v

erba

l de

scri

ptio

n, o

r eq

uat

ion)

to u

se fo

r a

prob

lem

situ

atio

n?

Elab

orat

e

com

plet

e W

alk-

A-T

hon

activ

ity –

gen

erat

e ta

ble

of p

oten

tial p

ledg

es b

ase

d on

am

oun

t pl

edg

ed

per

mile

, gra

ph

the

resu

lts o

n a

dol

lar

pled

ge v

ersu

s di

stan

ce, a

nsw

er

seve

ral

ques

tions

rel

ated

to d

iffer

ent

ple

dge

rate

s a

nd fi

nally

gen

erat

e tw

o lin

es o

n th

e pr

evio

us

grap

h an

d th

eir

equa

tions

wh

ich

sho

w a

ste

epe

r lin

e an

d a

shal

low

er

line

(2A

.1B

) Ev

alua

te

w

rite

jour

nal e

ntr

y on

ho

w to

sel

ect t

he r

epre

sent

atio

n to

use

for

a fu

nctio

n

dep

endi

ng

on t

he p

robl

em s

ituat

ion

(2A

.1B

)

Day

10

– A

naly

zing

and

Ske

tchi

ng G

raph

s

Enga

ge (5

min

utes

)

ha

ve th

e fo

llow

ing

que

stio

ns r

ead

y fo

r st

ude

nts

to a

nsw

er in

thei

r jo

urn

als

indi

vid

ually

as

clas

s st

arts

:

1.

Wha

t situ

atio

ns

that

you

kn

ow

abo

ut in

rea

l-lif

e ar

e m

ath

em

atic

ally

m

ode

led,

but

not

ver

y w

ell?

(e

.g.,

we

athe

r, e

arth

qua

kes,

eco

nom

y, …

) 2.

W

hat a

re th

e st

reng

ths

and

wea

knes

ses

of u

sing

a m

ath

emat

ical

mo

del?

Ex

plor

e (2

0 m

inut

es)

ex

plai

n to

stu

den

ts th

at th

ey

will

exp

erie

nce

a p

rogr

essi

on o

f gra

ph r

ela

ted

activ

ities

ove

r th

e ne

xt t

wo

da

ys –

ans

wer

ing

que

stio

ns a

bo

ut g

raph

s, m

atch

ing

grap

hs to

situ

atio

ns a

nd

then

ske

tchi

ng

gra

phs

for

situ

atio

ns.

have

stu

den

ts c

ount

off

up to

six

and

re

peat

unt

il yo

u ha

ve g

one

thro

ugh

the

entir

e cl

ass.

A

ll th

e 1’

s ar

e gr

oup

1, a

ll th

e 2

.s a

re g

roup

2, e

tc.

di

strib

ute

all s

ix “

An

alyz

ing

Gra

phs

#1

thru

6”

to a

ll st

uden

ts.

ha

ve a

ll st

uden

ts lo

ok a

t jus

t the

gra

phs

on

all

six

pro

blem

s an

d fin

d th

e si

mila

ritie

s a

nd d

iffer

ence

s a

nd

put o

n a

pre-

mad

e V

enn

dia

gram

on

pos

ter

pap

er p

oste

d so

me

wh

ere

in th

e cl

assr

oom

.

disc

uss

the

resu

lts g

lean

ed fr

om th

e V

enn

diag

ram

as

a cl

ass

Ex

plai

n (2

0 m

inut

es –

will

ext

end

to n

ext

cla

ss p

erio

d)

ha

ve e

ach

gro

up w

ork

tog

eth

er to

ans

wer

the

ques

tions

ab

out t

heir

gra

ph

have

eac

h gr

oup

com

ple

te th

e ot

her

two

An

alyz

ing

Gra

phs

in th

eir

eve

n o

r od

d se

t (1-

3-5,

2-4

-6)

at c

ompl

etio

n o

f 3

grap

hs b

y e

ach

gro

up, p

air

up

odd

and

even

gro

ups

to

pres

ent

the

ma

jor

cha

lleng

es to

eac

h ot

her.

Day

10

– A

naly

zing

and

Ske

tchi

ng G

raph

s En

gage

an

swe

r qu

estio

n in

jour

nal r

elat

ed to

rea

l-w

orld

mod

els

that

are

n’t r

elia

ble

and

co

nsid

er th

e st

reng

ths

and

wea

knes

ses

of u

sing

a m

ath

emat

ical

mo

del(

2A

.4A

) Ex

plor

e

com

plet

e a

Ve

nn d

iagr

am r

eg

ardi

ng s

imila

ritie

s an

d d

iffer

ence

s of

the

six

gra

phs

in

Ana

lyzi

ng G

raph

s an

d di

scus

s re

sults

(2A

.4A

) Ex

plai

n

com

plet

e th

ree

of 6

Ana

lyzi

ng

Gra

ph a

ctiv

itie

s as

ass

ign

ed (

2A.4

A)

pr

ese

nt to

oth

er

grou

p th

e m

ain

cha

llen

ges

of th

eir

3 ac

tiviti

es

(2A

.4A

)

Day

11

- Ana

lyzi

ng a

nd S

ketc

hing

Gra

phs

cont

’d

Expl

ain

(10

min

utes

– e

xte

nds

from

last

cla

ss p

erio

d)

at

com

plet

ion

of

3 gr

aphs

by

eac

h gr

oup

, pa

ir u

p od

d an

d ev

en g

roup

s to

pr

ese

nt th

e m

ajo

r ch

alle

nges

to e

ach

othe

r.

di

scus

s as

a c

lass

Day

11

- Ana

lyzi

ng a

nd S

ketc

hing

Gra

phs

cont

’d

Expl

ain

(con

t’d)

co

mpl

ete

thre

e o

f 6 A

naly

zin

g G

raph

act

iviti

es

as a

ssig

ned

(2A

.4A

)

pres

ent

to o

the

r gr

oup

the

ma

in c

halle

nge

s of

thei

r 3

activ

itie

s (2

A.4

A)

Page 13: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 9

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

Elab

orat

e (3

0 m

inut

es)

di

strib

ute

Ana

lyzi

ng G

rap

hs-F

unct

ion

Mat

ch to

all

stud

ents

stil

l in

odd

and

even

gr

oups

dire

ct th

em to

com

plet

e in

10

min

utes

in p

airs

all

the

eve

n (o

r od

d) m

atch

es

acco

rdin

g to

the

grou

p’s

nam

e

have

the

grou

p’s

exp

lain

to e

ach

oth

er w

her

e th

ey

had

ch

alle

nges

com

plet

ing

the

activ

ity; d

iscu

ss a

s a

clas

s

dist

ribut

e to

all

Ske

tch

Gra

phs

of R

eal W

orld

Situ

atio

ns

in

diff

ere

nt p

airs

hav

e ea

ch g

roup

com

plet

e th

e ev

en

or o

dd

pro

blem

s fo

r 20

m

inut

es

Eval

uate

(5 m

inut

es)

ha

ve s

tud

ents

jour

nal

Ess

ent

ial Q

uest

ion:

“H

ow

can

I ap

ply

my

kno

wle

dge

of fu

nctio

ns to

rea

l life

situ

atio

ns?”

Elab

orat

e

com

plet

e in

pai

rs a

ssig

ned

pro

blem

s in

Ana

lyzi

ng G

rap

hs-F

unct

ion

Mat

ch a

ctiv

ity

(2A

.4A

)

pres

ent

to o

the

r gr

oup

the

ma

in c

halle

nge

s of

thei

r 6

activ

itie

s (2

A.4

A)

co

mpl

ete

in p

airs

ass

ign

ed p

robl

ems

in S

ketc

hin

g G

raph

s o

f R

eal W

orld

Situ

atio

ns

(2A

.4A

) Ev

alua

te

jo

urna

l les

sons

lear

ned

re

gard

ing

inte

rpre

ting

gra

phs

and

mod

elin

g si

tuat

ions

(2A

.4A

)

Day

12

– Pa

rent

Fun

ctio

ns

5-

7 P

rob

lem

Mul

tiple

Ch

oice

Fun

ctio

ns Q

uiz

over

da

ys 8

-11

(20

min

utes

)

adm

inis

ter

quiz

(15

min

utes

)

exch

ang

e pa

per

s to

gra

de (

5 m

inut

es)

co

llect

gra

ded

pap

ers

Enga

ge/E

xplo

re (1

5-20

min

ute

s)

pr

ior

to c

lass

, co

mpl

ete

10-1

5 se

ts o

f car

ds fr

om M

atch

ing

Par

ent F

unct

ion

s –

reco

mm

end

6 d

iffer

ent c

olor

s fo

r ty

pes

of c

ards

with

out

dire

ct in

stru

ctio

n, g

ive

to s

tude

nts

in g

rou

ps o

f thr

ee a

nd ju

st te

ll th

em to

m

atch

m

onito

r gr

oup

prog

ress

; onl

y pr

ovid

e as

sist

anc

e b

y as

king

que

stio

ns

Eval

uate

fo

r ho

me

wo

rk, a

ssig

n th

e st

uden

ts to

com

plet

e la

st 3

pa

ges

of a

ctiv

ity

entit

led

Dom

ain

s, R

ang

es a

nd

Gra

phs

of P

are

nt F

unct

ions

(2

pag

es)

and

Ass

essm

ent (

1 p

age)

the

2 pa

ge d

ocum

ent

will

be

save

d in

stu

dent

not

ebo

oks

as a

ref

eren

ce g

uid

e to

par

ent f

unct

ions

may

sta

rt in

cla

ss a

s tim

e al

low

s

Day

12

– Pa

rent

Fun

ctio

ns

w

ill c

ompl

ete

Fun

ctio

ns q

uiz

and

exc

han

ge w

ith a

noth

er s

tude

nt fo

r gr

adi

ng

(2A

.1B

, 2A

.4A

) En

gage

/Exp

lore

in g

roup

s of

3, s

tude

nt w

ill m

atc

h th

e P

aren

t F

unct

ion

card

s (e

quat

ion,

wor

d tit

le,

grap

hs, d

omai

n in

wor

ds, d

om

ain

in s

ymbo

ls, r

ange

) (2

A.4

A)

Eval

uate

fo

r ho

me

wo

rk, w

ill s

umm

ariz

e to

day’

s le

arni

ng

with

a c

omp

lete

d P

are

nt F

unct

ion

refe

renc

e do

cum

ent a

nd w

ill c

ompl

ete

a “m

atch

ing”

ass

essm

ent (

2A.4

A)

Day

13

– Pa

rent

Fun

ctio

ns (c

ont’d

)En

gage

(5 m

inut

es)

as

k st

uden

ts to

com

pare

the

hom

ew

ork

in p

air

s to

res

olve

diff

eren

t ans

we

rs

Expl

ore

(5 m

inut

es)

as

k st

uden

ts in

pai

rs to

dis

cuss

wa

ys to

rem

em

ber

the

gra

phs

of th

e di

ffere

nt

pare

nt fu

nctio

ns

sh

are

and

dis

cuss

ide

as a

s a

clas

s Ex

plai

n (2

0-25

m

inut

es)

for

Wha

t Is

the

Par

ent F

unct

ion?

Act

ivity

, mo

del c

ompl

etio

n b

y co

mpl

etin

g pr

oble

m 1

with

cla

ss u

sing

sca

tterp

lot o

n th

e gr

aphi

ng

calc

ulat

or

as

sig

n st

ude

nts

in p

airs

to c

om

plet

e th

e re

mai

nde

r of

the

act

ivity

; stu

dent

s

Day

13

–Pa

rent

Fun

ctio

ns (c

ont’d

)En

gage

with

par

tner

, dis

cuss

the

resu

lts o

f the

hom

ewo

rk a

ssig

nme

nt a

nd r

eso

lve

diffe

renc

es

(2A

.4A

) Ex

plor

e

disc

uss

with

pa

rtne

r w

ays

to r

emem

ber

the

gra

phs

of th

e d

iffer

ent p

are

nt fu

nctio

ns

(2A

.4A

)

Expl

ain

co

mpl

ete

half

of

Wha

t is

the

Par

ent F

unct

ion

activ

ity a

fter

teac

hers

mo

dels

pro

ble

m #

1

with

whi

ch h

alf

bein

g d

ecid

ed b

etw

een

par

tner

s (2

A.4

A)

up

on

com

plet

ion

by

each

par

tner

of t

heir

hal

f, e

ach

part

ner

pre

sent

s th

eir

resu

lts to

Page 14: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 10

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

choo

se w

hich

hal

f eac

h w

ill c

ompl

ete

ind

epen

den

tly

di

rect

stu

dent

s to

dis

cuss

with

eac

h ot

her

the

part

that

the

y co

mpl

eted

mon

itor

for

any

need

ed s

tud

ent

ass

ista

nce

Elab

orat

e/Ev

alua

te (5

min

utes

)

as

k th

e st

ude

nts

to jo

urna

l ho

w t

he

use

of th

e gr

aphi

ng

calc

ulat

or w

as

or

wa

s no

t be

nefic

ial t

o th

em in

com

plet

ing

the

activ

ity

othe

r pa

rtn

er (

2A.4

A)

Elab

orat

e/Ev

alua

te

w

rite

in jo

urn

al w

het

her

the

use

of th

e gr

aphi

ng c

alcu

lato

r w

as b

enef

icia

l to

co

mpl

ete

the

activ

ity.

(2A

.4A

) D

ay 1

4 - T

rans

form

atio

ns

Enga

ge (5

min

utes

)

as

k st

uden

ts to

jour

nal

in a

2-m

inut

e Q

uick

writ

e: H

ow

is y

= x

rel

ated

to y

=

x –

3 ?

ask

stud

ents

to P

air-

Sha

re w

hat

the

y w

rote

.

Expl

ore/

Expl

ain

(40-

50 m

inut

es –

will

ext

end

to n

ext

cla

ss)

di

strib

ute

activ

ity: E

xplo

re T

rans

form

atio

ns

di

rect

stu

dent

s to

com

plet

e in

itial

gra

ph o

f f(x

) on

pap

er

di

rect

stu

dent

s to

com

plet

e f(

x +

2)

on a

ctiv

ity s

heet

with

a p

artn

er

sh

ow

cla

ss h

ow

to

star

t by

perf

orm

ing

the

first

tw

o st

eps

for

y =

f(x +

2)

ha

ve o

ne s

tud

ent c

ompl

ete

the

odd

num

bers

, the

oth

er th

e e

ven

num

bers

Day

14

- Tra

nsfo

rmat

ions

En

gage

w

rite

jour

nal e

ntr

y –

Ho

w is

y =

x r

elat

ed to

y =

x –

3 ?

(2A

.4B

)

shar

e b

y d

iscu

ssio

n w

ith a

pa

rtne

r yo

ur jo

urn

al e

ntry

(2A

.4B

) Ex

plor

e/Ex

plai

n

afte

r te

ache

r e

xpla

natio

n, c

om

plet

e as

sign

ed

tran

sfor

mat

ions

on

Exp

lore

T

rans

form

atio

ns

activ

ity s

hee

t (2

A.4

B)

Day

15

– Tr

ansf

orm

atio

ns c

ont’d

Expl

ore/

Expl

ain

(10

min

ute

s –

cont

’d fr

om la

st c

lass

)

for

each

stu

de

nt p

air,

hav

e o

ne c

omp

lete

the

odd

num

ber

s an

d th

e ot

her

co

mpl

ete

the

eve

n nu

mbe

rs

di

scus

s as

a c

lass

D

iffer

entia

te In

stru

ctio

n O

n Le

vel a

nd A

dvan

ced

Lea

rner

s:

T

ell s

tude

nts

to lo

ok a

t the

ir as

sign

ed p

robl

em

s to

indi

vidu

ally

exp

lain

in w

ords

on

Sum

mar

ize

You

r F

ind

ings

the

effe

ct o

f ea

ch t

rans

form

atio

n

wh

en c

ompl

ete,

hav

e st

uden

t pai

rs d

iscu

ss a

nd fi

ll in

mis

sing

effe

cts

for

each

ot

her

S

trug

glin

g Le

arne

rs:

Use

dir

ect i

nstr

uctio

n a

nd g

uid

ed p

ract

ice

to c

ompl

ete

“Sum

mar

ize

Yo

ur F

indi

ngs.

” Ev

alua

te (5

min

utes

)

colle

ct a

ctiv

ity s

heet

s fo

r sp

ot c

heck

for

diffi

culty

ha

ve s

tud

ents

jour

nal

the

Ess

entia

l Que

stio

n: H

ow

is it

use

ful t

o kn

ow

th

e gr

aphs

of p

aren

t fun

ctio

ns a

nd th

e ef

fect

s of

par

amet

er c

han

ges

on

the

grap

hs?

Day

15

– Tr

ansf

orm

atio

ns c

ont’d

Ex

plor

e/Ex

plai

n (c

ont’d

)

afte

r te

ache

r e

xpla

natio

n, c

om

plet

e as

sign

ed

tran

sfor

mat

ions

on

Exp

lore

T

rans

form

atio

ns

activ

ity s

hee

t (2

A.4

B)

Elab

orat

e

expl

ain

in w

ord

s on

Sum

mar

ize

You

r F

ind

ing

s th

e ef

fect

of e

ach

of y

our

ass

ign

ed

tran

sfor

mat

ions

(2A

.4B

)

talk

with

par

tne

r to

get

the

mis

sing

tran

sfor

mat

ions

com

plet

ed b

y hi

m/h

er (

2A.4

B)

Eval

uate

turn

in c

ompl

eted

act

ivity

she

ets

to t

each

er

m

ake

jour

nal e

ntry

on

how

yo

ur k

now

led

ge o

f pa

rent

func

tions

and

tr

ansf

orm

atio

ns

help

in th

e st

udy

of fu

nctio

ns

(2A

.4B

) D

ay 1

6 –

Tran

sfor

mat

ions

con

t’d

Enga

ge (5

min

utes

)

have

stu

den

t pai

rs g

ene

rate

a d

efin

ition

for

tran

sfor

mat

ion

th

roug

h cl

ass

dis

cuss

ion,

dec

ide

by

cons

ensu

s on

def

initi

on fo

r w

ord

wa

ll

Expl

ore

(5-1

0 m

inut

es)

di

rect

stu

dent

s vi

a pa

rtn

er d

iscu

ssio

n to

figu

re o

ut h

ow

to e

xecu

te a

tran

slat

ion

tran

sfor

mat

ion

for

y =

x to

y =

x +

4 fr

om -

2 to

+2

usin

g th

e lis

t fun

ctio

n on

the

gr

aphi

ng

calc

ulat

or

faci

litat

e d

iscu

ssio

n o

n th

e pr

oce

dure

s de

velo

ped

Day

16

– Tr

ansf

orm

atio

ns c

ont’d

En

gage

defin

e tr

ansf

orm

atio

n w

ith y

our

par

tner

and

con

trib

ute

your

def

initi

on to

cla

ss

disc

ussi

on (

2A.4

B)

Expl

ore

fig

ure

out

a m

eth

od to

exe

cute

the

give

n tr

ans

form

atio

n w

ith th

e Li

st fu

nctio

n on

yo

ur

grap

hin

g ca

lcul

ator

(2A

.4B

)

Page 15: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 11

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

Diff

eren

tiate

Inst

ruct

ion

(20-

25 m

inut

es)

di

strib

ute

Tra

nsfo

rmat

ions

of

Par

ent F

unct

ions

act

ivity

O

n Le

vel a

nd A

dvan

ced

Lea

rner

s:

di

rect

par

tner

s to

col

labo

rate

to c

ompl

ete

activ

ity u

sing

gra

phi

ng

calc

ula

tors

as

a to

ol

Str

uggl

ing

Lear

ners

:

use

dire

ct in

stru

ctio

n a

nd g

uid

ed p

ract

ice

to r

evie

w tr

ans

form

atio

ns o

f par

ent

func

tions

Ev

alua

te (5

-10

min

utes

)

revi

ew

Tra

nsfo

rmat

ions

of P

aren

t Fun

ctio

ns a

s a

clas

s

Expl

ain/

Elab

orat

e O

n Le

vel a

nd A

dvan

ced

Lea

rner

s:

w

ith p

artn

er c

om

plet

e T

rans

form

atio

n of

Par

ent F

unct

ions

act

ivity

usi

ng

the

gra

phin

g ca

lcul

ator

as

a to

ol (

2A.4

B)

Str

uggl

ing

Lear

ners

:

com

plet

e T

rans

form

atio

ns o

f P

aren

t Fun

ctio

ns w

ith te

ach

er s

uppo

rt

ac

tivel

y p

artic

ipat

e, a

sk q

ues

tions

Ev

alua

te

re

vie

w T

rans

form

atio

ns o

f Par

ent F

unct

ions

with

cla

ss

Day

17

- Fun

ctio

ns U

nit R

evie

w

Exp

lain

(40

min

utes

)

dist

ribut

e F

unct

ion

Un

it R

evie

w s

hee

t to

each

stu

dent

sta

ting

that

col

labo

ratio

n is

enc

our

aged

tod

ay

rea

lizin

g th

at to

mor

row

’s a

sses

smen

t w

ill b

e in

divi

dual

w

ork

onl

y

give

stu

den

ts fo

llow

ing

dire

ctio

ns fo

r th

e be

st p

roba

bili

ty fo

r in

-cla

ss c

ompl

etio

n in

ord

er to

get

the

mos

t hel

p n

eed

ed

1.

for

each

pro

ble

m w

ith m

ore

than

tw

o pa

rts

(like

# 1

an

d #5

),

com

plet

e an

y tw

o pa

rts

and

mov

e on

to g

et to

a lo

ok a

t all

the

rest

of t

he r

evie

w p

robl

ems

2.

use

your

gra

ph

ing

calc

ulat

ors

to fu

ll ad

vant

age,

sin

ce y

ou m

ay

use

them

tom

orr

ow

3.

en

sure

that

yo

u co

mpl

ete

#11

or #

12 b

efor

e th

e en

d of

this

cl

ass

to g

et n

eed

ed

assi

sta

nce

revi

ew

yo

ur a

sses

smen

t for

mat

with

stu

dent

s, i.

e. m

ultip

le c

hoic

e? c

omp

lete

gr

aphs

or

sket

ch g

rap

hs?

shor

t ans

wer

? si

mila

r to

rev

iew

she

et fo

rmat

?

Day

17

- Fun

ctio

ns U

nit R

evie

w

Expl

ain

co

mpl

ete

revi

ew

sh

eet a

s di

rect

ed, k

eepi

ng in

min

d to

atte

mpt

firs

t w

hat

you

don’

t kno

w

and

ask

for

an

y n

eed

ed a

ssis

tanc

e (2

A.1

A, 2

A.1

B, 2

A.4

A, 2

A.4

B)

us

e ca

lcul

ator

as

ofte

n as

pos

sibl

e to

eith

er w

ork

the

pro

blem

or

chec

k yo

ur w

ork

co

mpl

eted

with

out t

he c

alcu

lato

r

atte

ntiv

ely

liste

n to

form

at o

f tom

orro

w’s

ass

essm

ent

Day

18

– U

nit A

sses

smen

t (Fo

unda

tion

of F

unct

ions

)

Ev

alua

te

en

sure

that

all

the

ques

tions

on

the

asse

ssm

ent a

re a

ligne

d w

ith th

e no

uns

and

verb

s in

the

TE

KS

ensu

re th

e av

aila

bili

ty o

f ful

ly f

unct

ioni

ng

gra

phin

g ca

lcul

ato

rs

co

nduc

t uni

t ass

essm

ent t

o in

clud

e:

1.

func

tion

– ve

rtic

al li

ne

test

2.

do

ma

in a

nd

rang

e 3.

sk

etch

ing

a gr

aph

to fi

t a s

ituat

ion

and

vic

e ve

rsa

4.

pare

nt fu

nctio

ns

5.

tran

sfor

mat

ions

Eval

uate

com

plet

e th

e a

sses

smen

t w

ith th

e ai

d of

a g

raph

ing

calc

ula

tor

(2A

.1A

, 2A

.1B

, 2A

.4A

, 2A

.4B

)

Voca

bula

ry:

do

ma

in

ra

nge

fu

nctio

n

vert

ical

line

test

pare

nt fu

nctio

n

tr

ansf

orm

atio

n

ind

epe

nden

t

dep

ende

nt

re

latio

n

TAK

S Vo

cabu

lary

ide

ntify

dete

rmin

e

fit

in

terp

ret

pr

oce

ed

id

ent

ify

sk

etch

exte

nd

de

scrib

e

Res

ourc

es:

A

lge

bra

2 A

ctiv

ities

1.

D

ay

2 –I

cebr

eake

r 2.

D

ay

3 –

Cal

cula

tor A

ctiv

ities

, Wha

t Do

You

Kno

w?

3.

Da

ys 6

& 7

– D

omai

n an

d R

ange

Pra

ctic

e 4.

D

ay

8 –

Wal

kin

g R

ates

5.

D

ay

9 –

Wal

k-A

-Tho

n 6.

D

ay

10 –

An

alyz

ing

Gra

phs

#1

thru

6,

Fun

ctio

n M

atch

Page 16: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 12

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

7.

D

ay

11 –

Ske

tch

Gra

phs

of R

eal

Wor

ld

Situ

atio

ns

8.

Da

y 12

– M

atch

ing

Par

ent

Fun

ctio

ns

9.

Da

y 13

– W

hat

Is th

e P

aren

t Fun

ctio

n 10

. D

ay

14 &

15

– E

xplo

re T

rans

form

atio

ns

and

Sum

mar

ize

You

r F

ind

ing

s 11

. D

ay

16 –

Tra

nsfo

rmat

ions

of

Par

ent

Fun

ctio

ns

12.

Da

y 17

– F

unct

ion

Uni

t Rev

iew

Tex

t – M

cDou

gal

Litt

ell A

lge

bra

2 1.

D

ay

5 –

Ch

apte

r 2

Intr

o, S

ectio

n 2.

1 (p

ages

70-

79)

A

ccel

erat

ed C

urric

ulum

for

Mat

h G

rade

11

Exi

t T

AK

S (

Reg

ion

4)

1.

Da

y 4

– L

ess

on 1

.1 (

page

s 1-

9)

Evid

ence

of L

earn

ing

Form

ativ

e M

ini A

sses

smen

ts

TAK

S C

olle

ge-R

eadi

ness

i.e.

, A

ntic

ipat

ed S

kills

for S

AT/

AC

T/C

olle

ge B

oard

/Car

eer/L

ife

(fr

om S

epte

mbe

r 200

8 FM

A, T

EKS

2A.1

A, #

1)

(from

Sep

tem

ber 2

008

FMA

, TEK

S 2A

.1A

, #2)

July

200

6 TA

KS

Exit

Leve

l

SAT

Page 17: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 13

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

……

……

……

……

……

……

……

……

……

……

……

……

……

….

Ju

ly 2

006

TAK

S Ex

it Le

vel

22

Whi

ch o

f the

follo

win

g is

a s

uffic

ient

co

nditi

on

to

sho

w th

at a

cer

tain

equ

atio

n do

es n

ot

re

pres

ent a

lin

ear

func

tion?

F

T

he g

raph

of t

he e

quat

ion

has

a sl

ope

of

zero

. G

T

he g

raph

of t

he e

quat

ion

has

the

set o

f al

l rea

l nu

mb

ers

as it

s do

ma

in.

H

The

gra

ph o

f the

equ

atio

n ha

s an

und

efin

ed

slop

e.

J

The

gra

ph o

f the

equ

atio

n h

as e

xact

ly o

ne

y-in

terc

ept

.

Page 18: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

SA

ISD

© 2

009-

10

– F

irst G

radi

ng P

erio

d

Mat

hem

atic

s A

lgeb

ra 2

Pag

e 14

of 3

1

Pow

er S

tand

ards

rep

rese

nt t

he e

ssen

tial k

now

ledg

e an

d sk

ills

stud

ents

nee

d fo

r su

cces

s in

hig

h sc

hool

and

be

yond

. P

ower

Sta

nda

rds

mus

t be

mas

tere

d to

suc

cess

fully

pas

s th

e re

qui

red

asse

ssm

ents

at e

ach

grad

e le

vel.

All

TA

KS

elig

ible

kno

wle

dge

and

ski

lls a

re id

entif

ied

as P

ow

er S

tand

ards

.

(fr

om S

epte

mbe

r 200

8 FM

A, T

EKS

2a.1

B, #

3)

(fr

om O

ctob

er 2

008

FMA

, TEK

S 2A

.4B

, #5)

Page 19: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?
Page 20: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?
Page 21: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?
Page 22: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?
Page 23: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?
Page 24: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?
Page 25: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?
Page 26: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?
Page 27: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?
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Page 29: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

Kagan’s Cooperative Learning Structures © 1998

1. Circle-the-Sage: Students who know, stand to become sages; teammates each gather around a different sage to learn. Students return to teams to compare notes.

2. Find My Rule: The teacher places items in a frame (two boxes, Venn, on a line); Students induce the rule.

a. Two Box Introduction b. What’s My Line c. Crack My Venn

3. Find Someone Who: Students circulate, finding others who can contribute to their worksheet.

a. People Hunt: Students circulate, finding others who match their own characteristics.

b. Fact Bingo: Find Someone Who played on a bingo worksheet. 4. Find the Fib: Teammates try to determine which of three statements is a fib.

a. Fact or Fiction: Teammates try to determine if a statement is true or false. 5. Inside/Outside Circle: Students in concentric circles rotate to face a partner to

answer the teacher’s questions or those of the partner. 6. Jigsaw Problem Solving: Each teammate has part of the answer or a clue

card; teammates must put their info together to solve the team problem. 7. Match Mine: Receivers arrange objects to match those of Senders whose

objects are hidden by a barrier. a. Draw-What-I-Say: Receiver draws what sender describes. b. Build-What-I-Write: Receiver constructs what Sender has described in

writing. 8. Mix-Freeze-Group: Students rush to form groups of a specific size, hoping not

to land in “Lost and Found” (with the teacher). 9. Mix-Pair-Discuss: Students pair with classmate, to discuss question posed by

the teacher. 10. Numbered Heads Together: Students huddle to make sure all can respond, a

number is called, the student with the number responds. a. Paired Heads Together: Students in pairs huddle to make sure they both

can respond, an “A” or “B” is called, the student with that letter responds. b. Traveling Heads Together: Students in Numbered heads travel to new

teams to share response. 11. One Stray: The teacher calls a number; students with that number “stray” to

join another team, often to share. a. Two Stray: Two students stray to another team, often to share and to

listen. 12. Pairs Check: Students work first in pairs each doing a problem and receiving

coaching from their partner; then pairs check and celebrate after every two problems.

Page 30: Mathematics Algebra 2 - Home | San Antonio ISD€¦ ·  · 2009-08-18Mathematics Algebra 2 ... exponential, logarithmic, absolute value, square root, and reciprocal parent functions?

13. Pairs Compare: Pairs generate ideas or answers, compare their answers with another pair, and then see if working together the can come up with additional responses neither pair alone had.

14. Partners: Pairs work to prepare a presentation, then present to the other pair in their team.

15. Rally Table: Students in pairs take turns, writing, drawing, pasting. (2 erasers, 2 pencils per team)

16. Rotating Review: Teams discuss topic, chart their thoughts, rotate to the next chart to discuss and chart their thoughts.

17. Sages Share: Students take turns interviewing the “sages”-those who can explain an idea.

18. Send-(Trade) a-Problem: Teammates make problems whicj are sent around the class for other teams to solve.

19. Showdown: Teammates each write an answer, then there is a “showdown” as they show their answers to each other. Teammates verify answers.

20. Teammates Consult: For each of a series of questions, students place pens in a cup, share and discuss their answers, and then pick up pens to write answer in own words.

21. Team-Pair-Solo: Students solve problems first as a team, then as a pair, finally alone.

22. Team Stand-N-Share: All teams stand. Teams share ideas and record ideas from other teams. Teams sit when all ideas are share and continue to record until all teams sit.

23. Team Statements: Students think, discuss in pairs, write an individual statement, RoundRobin individual statements, and then work together to arrive at team statement they all endorse more strongly than their individual statements.

24. Team Mind Map: Students draw and label the central image, brainstorm, draw and label main ideas radiating out of the central image, and finally add details using colors, images, branches and key words.

25. Think-Pair-Share: Students think about their response to a question, discuss answer in pairs, and share their own or partner’s answer with the class.

26. Three-Pair-Share: Students share on a topic three times, once with each teammate.

27. Three-Step Interview: Students share with a partner, the partner shares with them, and then they RoundRobin share their partner’s response with the other teammates.

28. Timed Pair Share: Students share with a partner for a predetermined amount of time and then the partner shares with them for the same amount of time.

29. What Am I? Students attempt to determine their secret identity (taped on their back) by circulating asking “yes-no” questions of classmates. They are allowed three questions per classmate (or unlimited questions until they receive a no response). They then find a new classmate to question. When the student guesses his/her identify, he/she becomes a consultant to give clues to those who have not yet found their identity.