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Measures of Academic Progress ® l MAP ® Climbing the Data Ladder Workbook

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Measures of AcademicProgress® l MAP®

Northwest Evaluation Association™

121 NW Everett Street, Portland, OR 97209

503.624.1951 | NWEA.org | Rev 6/13 | ©2013 Northwest Evaluation Association | MAPXX_PRDV20050

Climbing the Data Ladder Workbook

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Copyright©2013 Northwest Evaluation Association™

All rights reserved. No part of this manual may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without written permission from NWEA.

TrademarksMeasures of Academic Progress, MAP, DesCartes: A Continuum of Learning, Partnering to help all kids learn, Power of Instructional Design, Power of Teaching, Power of Coaching, Keeping Learning on Track, and Learning Plans on Demand are registered trademarks of NWEA in the U.S. and in other countries. Northwest Evaluation Association, NWEA, GRD, KLT, Skills Pointer, Children’s Progress Academic Assessment, and CPAA are trademarks of NWEA in the U.S. and in other countries.

Lexile® is a trademark of MetaMetrics, Inc., and is registered in the United States and abroad.

The names of other companies and their products mentioned are the trademarks of their respective owners.

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ACTIVITIESSA

MPLE LA

DD

ERSRESO

URCES

WO

RKSH

EETS

Climbing the Data Ladder

Table of ContentsSection 1: Activities ................................................................. 1

�� Appointment Clock ................................................................................... 3�� Strategies and Techniques ....................................................................... 3�� Self-Assessment: Pre-and Post-Assessment .......................................... 4�� Differentiation .......................................................................................... 4�� Differentiation and Standards ................................................................ 5�� The Lexile® Framework for Reading ........................................................7�� Lexile® Data ............................................................................................... 8�� Your Turn: From Data to Instruction ......................................................9�� Strategies for a Differentiated Classroom ............................................. 11�� Data to Instruction Framework .............................................................12�� Managing the Differentiated Classroom ................................................ 13�� Instructional Ladder ...............................................................................15�� Climbing the Data Ladder Sample Teach-Back Plan ........................... 16�� Planning Forward ................................................................................... 19

Section 2: Sample Ladders ................................................... 21�� Data to Instruction Framework ............................................................ 23�� Instructional Ladders: Math Example: Telling Time ............................ 25�� Instructional Ladders: Middle School Reading Example ................... 26

Section 3: Resources ............................................................. 27�� What is the “Zone of Proximal Development?” ................................... 29�� Instructional Strategies ..........................................................................31�� Your Turn: From Data to Instruction .....................................................33�� Differentiation Planner .......................................................................... 34�� Resources of Interest ..............................................................................35

Section 4: Worksheets .......................................................... 37

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Climbing the Data Ladder Workbook | NWEA™ 1

ACTIVITIESSECTION 1 Activities

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2 Climbing the Data Ladder Workbook | NWEA™

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ACTIVITIES

Appointment Clock

Strategies and TechniquesFormative Assessment Grouping Management

For future use, an additional copy of this worksheet is provided in Section 4 of this workbook.

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ACTI

VITI

ES

Self-Assessment: Pre- and Post-Assessment

I am aware I understand I can apply I can teach others

[of] how to access and interpret the Class Breakdown by Goal Report.

[of] how to use the Class Breakdown by Goal Report to differentiate instruction.

[of] how to use DesCartes: A Continuum of Learning® or Primary Grades Instructional Data to meet students’ needs.

[of] how to use Measures of Academic Progress® (MAP®) data to meet students’ needs.

[of] what The Lexile® Framework for Reading measures.

[of] how to use Lexile® measures in the classroom to differentiate instruction.

Differentiation�� What is differentiation?

_________________________________________________________________________________________

_________________________________________________________________________________________

_________________________________________________________________________________________

_________________________________________________________________________________________

�� Benefits of differentiation:

_________________________________________________________________________________________

_________________________________________________________________________________________

_________________________________________________________________________________________

_________________________________________________________________________________________

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ACTIVITIES

Differentiation and Standards�� As you read the following article, highlight or underline important passages.�� What benefits of differentiated instruction does the article mention? Note your ideas

on the previous page.

Education Update, January 2002 | Volume 44 | Number 1 Conference Report

Standards and Curriculum DifferentiationCurriculum differentiation needs to be the partner of a standards-based initiative, said Deborah Burns, curriculum coordina-tor for the Cheshire (Conn.) Public Schools and a member of ASCD’s Differentiated Instruction Cadre. “If we don’t bring the two together as quickly as possible, people are going to get worried—and rightfully so—that standards mean the same thing as standardization,” she said.

Burns recommended a tool called the “ladder” for differentiating instruction.

When planning a standards-based unit, teachers should literally draw a ladder, she advised. Then they should label the rungs from bottom to top by asking them-selves: What is it that all the kids in my room already know? What is it that some of them already know? What is it that a few of them know? What is it that none of the kids knows going into this unit? Teachers can use preassessment to answer these ques-tions, she said.

(Some teachers discount the need to preas-sess, Burns noted. “When someone says, ‘I know my kids; I don’t need to preassess,’ what that really means is, ‘I know what the average kid in this room is capable of, and that’s what I’m teaching to.’ However, stan-dards won’t help promote higher achieve-ment if we keep targeting only the average kids,” she asserted.)

For example, let’s say a teacher is preas-sessing for the standard The student will use the scientific process to answer everyday ques-tions. The teacher might discover that every

student in the class already knows what an experiment is; some students know how to pose a hypothesis; a few students know how to control a variable; and none of the students knows the difference between an independent and a dependent variable. By writing these varying levels of content knowledge on the rungs of the ladder, the teacher can create a developmental rubric for measuring progress with regard to that standard, Burns explained.

“The important thing is to have a decent baseline and a high ceiling,” she said. “I doubt that can be done with only three levels to your rubrics. You’ll need four, five, or six, depending on the heterogeneity in your student population.” The goal should be for all children to move up at least one rung on the ladder, she emphasized.

Once students’ prior knowledge has been determined, teachers need to reflect on how they can differentiate their instruc-tion, asking themselves: Should I use dif-ferent methods with different kids? Should I address different content with different kids? How will I manage it and how will I organize it?

“If I can find each student’s zone [of proxi-mal development] through preassessment,” Burns said, “and get to know them and respect them as individuals—and not get mad that they’re making life difficult for me because they’re not all the same—then I have the mind-set that would allow me to approach differentiation.”

Permission to copy granted by Association for Supervision and Curriculum Development www.ascd.org/publications/newsletters/education_update/jan02/vol44/num01 /Standards_and_Curriculum_Differentiation_.aspx

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ACTI

VITI

ES

Teachers Can Differentiate

Content Process Product

Ways to Differentiate

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ACTIVITIES

The Lexile® Framework for Reading�� Read the paragraph below.

If, in pursuance of our habit of thought, we now supplement the propositions of Euclidean geometry by the single proposition that two points on a practically rigid body always corre-spond to the same distance (line-interval), independently of any changes in position to which we may subject the body, the propositions of Euclidean geometry then resolve themselves into propositions on the possible relative position of practically rigid bodies. Geometry which has been supplemented in this way is then to be treated as a branch of physics. We can now legitimately ask as to the “truth” of geometrical propositions interpreted in this way, since we are justified in asking whether these propositions are satisfied for those real things we have associated with the geometrical ideas. In less exact terms we can express this by saying that by the “truth” of a geometrical proposition in this sense we understand its validity for a con-struction with rule and compasses.

From Relativity: The Special and General Theory by Albert Einstein, 1924

Virtual Observation: Using Lexile Measuresto Differentiate

�� Why is it important to match students with appropriate reading materials?

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

�� How can using Lexile data support better learning for all students?

____________________________________________________________________________________

____________________________________________________________________________________ ____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

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ACTI

VITI

ES

�� Description and ideas for use

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

Virtual Observation: Laddered Instruction�� What advantages of laddered instruction do you see?

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

�� What criteria inform selection of the content focus for laddered instructional plans?

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

�� What instructional practices occur in the video that you’d like to enact in your own classroom or building?

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

Lexile® Data

Where can I find Lexile measures for my students?

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ACTIVITIES

Your Turn: From Data to Instruction

DATA TO INSTRUCTION FRAMEWORKContent Area:

Concept:

Overall Score Range: Goal Performance Area:

Student Groups Skills from Selected Learning Statements:

Student Activities/Instructional Strategies: Assessment:

Above Score Range

RIT Range:

Middle Score Range

RIT Range:

Below Score Range

RIT Range:

StepIdentify a Standard & Concept.

StepIdentify the area of DesCartes related to the concept or standard.

StepHighlight the skills in DesCartes related to the concept or standard.

1 2 3

3

2

1

�� Use the Class Breakdown by Goal Report to identify the RIT band for each student.

�� Place student names on DesCartes in their scoring groups.

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ACTI

VITI

ES

Virtual Observation: Flexible Grouping

�� What are the advantages to flexibly grouping students?

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

�� What factors might a teacher consider when determining flexible groups?

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

�� What are your ideas for managing flexible groups?

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

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ACTIVITIES

Strategies for a Differentiated Classroom�� Check the strategies you are comfortable using and are familiar with.�� Circle the strategies you would like to know more about.

A Sampling of Differentiated Strategies

Multiple Intelligences Tiered Lessons 4-MAT Jigsaw

Tiered Centers or Assignments

Varied Questioning Strategies

Interest Centers Anchor Activities

Learning Contracts Interest Groups Varied Organizers Small-Group Instruction

Varied Homework Varied Texts Group Investigation Compacting

Varied Supplementary Materials

OrbitalsVaried Journal

PromptsLiterature Circles

Independent Study Complex Instruction Cubing Reading Buddies

Source: The Differentiated Classroom, C. Tomlinson, 1999

�� What did you learn?

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

�� What new or additional ideas should you consider when planning differentiated instruction?

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

Strategy to Research

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ACTI

VITI

ES

Dat

a to

Inst

ruct

ion

Fram

ewor

k

Cont

ent A

rea

Conc

ept

Ove

rall

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e Ra

nge

Goa

l Per

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ance

Are

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ills

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arni

ng S

tate

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ts

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stru

ctio

nal S

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men

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dle-

Scor

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For

futu

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se, a

n ad

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opy

of th

is w

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heet

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ook.

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ACTIVITIES

Managing the Differentiated Classroom�� Involve students�� Put everything in writing�� Post early-bird list�� Provide anchor activities�� Grade selectively�� Schedule quiet days

Ideas from virtual observation and/or your peers

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

Talking with StudentsHow might you explain differentiation to students?

Example:

“If you walked into a store and asked to buy a pair of 5th grade-sized shoes and a 5th grade-sized shirt, what do you think the salesman would say? 5th graders come in all different sizes. The same is true for academic skills. Everyone grows physically at different rates, and everyone grows academically at different rates. In our class, you’ll have a chance to learn the skills that you need most. I want your work at school to fit you as well as your shoes. Sometimes you’ll work by yourself. Sometimes you’ll work with other students. There will be times when we’ll do work as a whole class. There will be times when everyone is doing something different. My goal is to give each of you the chance to learn what you need to learn so that each of you can grow as much as possible this year.”

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

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ACTI

VITI

ES

Approaches to DifferentiationI’m ready to start tomorrow. What can I do? (Low-Prep Differentiation)

�� Choices of Books

�� Reading Buddies

�� Work Alone/Together

�� Varied Computer Programs

�� Varied Supplementary Materials

�� Negotiated Criteria

�� Varied Graphic Organizers

�� Appointment Clock

�� Homework Options

�� Varied Journal Prompts

�� Flexible Seating

�� Think-Pair-Share

�� Jigsaw

�� Mini Workshops to Reteach

�� Cubing

�� Tiered Activities/Labs

�� Independent Studies

�� Alternative Assignments

�� Multiple Intelligences Options

�� Spelling by Readiness

�� Interest Groups

�� Personal Agendas

�� Group Investigation

�� Graduated Rubrics

�� Tiered Products

�� Multiple Texts

�� Learning Contracts

�� Compacting

�� Community Mentorships

�� Tiered Centers

�� Literature Circles

�� Audio Recorded Material

�� Choice Boards

I’m going to work to develop some in-depth activities.(High-Prep Differentiation)

Benefits of Differentiation�� Makes growth visible�� Decreases discipline issues�� Increases ownership for learning�� Engages reluctant learners

One-Degree ShiftWhat one element (such as projects, homework, or discussion questions) could you differentiate in your own classroom?

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ACTIVITIES

DesCartes StatementsStudents: RIT over 261:

Students: RIT 251-260:

Students: RIT 241-250:

Students: RIT 231-240:

Students: RIT 221-230:

Students: RIT 211-220:

Students: RIT 201-210:

Students: RIT 191-200:

Students: RIT 181-190:

Students: RIT 171-180:

Students: RIT 161-170:

Students: RIT below 161:

For future use, an additional copy of this worksheet is provided in Section 4 of this workbook.

Instructional Ladder

Standards

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ACTI

VITI

ES

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bing

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ACTIVITIES

Clim

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tinu

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one

str

ateg

y to

tr

y in

thei

r cl

assr

oom

. Ide

ntify

a ti

me

(suc

h as

an

upc

omin

g st

aff m

eetin

g) w

hen

they

can

re-

port

how

thei

r ch

osen

str

ateg

y ac

tual

ly w

orke

d.

��

Asse

ssm

ent

coor

dina

tor

��

Adm

inis

trat

or

��

Inst

ruct

iona

l co

ache

s

��

Lead

teac

hers

��

Com

pute

r la

b w

ith

Inte

rnet

con

nect

ivit

y

��

Wor

ksho

p m

ater

ials

��

Tim

e��

30-6

0

min

utes

With

in o

ne m

onth

of

the

NW

EA w

orks

hop

Teac

h-Ba

ck S

essi

on 4

: Lea

rnin

g Ta

rget

: Dev

elop

an

inst

ruct

iona

l lad

der

��

Revi

ew th

e st

eps

in Y

our T

urn:

Fro

m D

ata

to In

-st

ruct

ion

in th

e w

orks

hop

mat

eria

ls.

��

Expl

ore

sam

ple

ladd

ers

in w

orks

hop

mat

eria

ls

and

on fo

rida

hote

ache

rs.o

rg.

��

Hav

e pa

rtic

ipan

ts c

hoos

e on

e of

the

avai

labl

e fo

rmat

s (D

ata

to In

stru

ctio

n fo

rm, l

adde

r

tem

plat

e, o

r di

ffere

ntia

tion

plan

ner)

and

de

velo

p a

diffe

rent

iate

d le

sson

.

��

Enco

urag

e te

ache

rs to

use

the

ladd

er le

sson

w

ith th

eir

stud

ents

with

in o

ne o

r tw

o w

eeks

. Pr

ovid

e a

time

at a

sta

ff m

eetin

g or

oth

er g

roup

tim

e to

rep

ort o

n th

e le

sson

res

ults

.

��

Asse

ssm

ent

coor

dina

tor

��

Adm

inis

trat

or

��

Inst

ruct

iona

l co

ache

s

��

Lead

teac

hers

��

Com

pute

r la

b w

ith

Inte

rnet

con

nect

ivit

y

��

Wor

ksho

p m

ater

ials

��

Tim

e��

One

to

two

ho

urs

Follo

win

g Te

ach-

Back

Se

ssio

n 2

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18 Climbing the Data Ladder Workbook | NWEA™

ACTI

VITI

ES

Task

Pers

on(s

) Re

spon

sibl

eRe

sour

ces

Poss

ible

Ro

adbl

ocks

/

Stra

tegi

es to

O

verc

ome

Tim

e

Nee

ded

Dat

e of

Co

mpl

etio

n

Teac

h-Ba

ck S

essi

on 5

: Lea

rnin

g Ta

rget

: Man

agin

g a

diffe

rent

iate

d cl

assr

oom

and

tal

king

wit

h st

uden

ts��

Revi

ew a

nd d

iscu

ss th

e id

eas

on th

e M

anag

ing

the

Diff

eren

tiate

d Cl

assr

oom

pag

e of

the

w

orks

hop

mat

eria

ls.

��

Hav

e pa

rtic

ipan

ts s

hare

idea

s en

coun

tere

d in

th

eir

own

clas

sroo

ms.

��

Read

the

Talk

ing

with

Stu

dent

s pag

e in

the

wor

k-sh

op m

ater

ials

.

��

Hav

e pa

rtic

ipan

ts w

ork

with

oth

ers

at th

e sa

me

grad

e le

vel t

o w

rite

an

expl

anat

ion

appr

opri

ate

for

stud

ents

at t

heir

par

ticul

ar a

ge/g

rade

leve

l.

��

Shar

e w

ith th

e gr

oup.

��

Asse

ssm

ent

coor

dina

tor

��

Adm

inis

trat

or

��

Inst

ruct

iona

l co

ache

s

��

Lead

teac

hers

��

Com

pute

r la

b w

ith

Inte

rnet

con

nect

ivit

y

��

Wor

ksho

p m

ater

ials

��

Tim

e

��

Curr

icul

um

rest

rain

ts

��

30-4

5 m

inut

esW

ithin

one

mon

th o

f th

e N

WEA

wor

ksho

p

Teac

h-Ba

ck S

ugge

sted

Tim

efra

mes

Clim

bing

the

Dat

a La

dder

Tea

ch-B

ack

Diff

eren

tiat

ed In

stru

ctio

n Te

ach-

Back

Inst

ruct

iona

l Lad

ders

Tea

ch-B

ack

Sess

ion

1: 6

0 m

inut

es

Sess

ion

2: 6

0 m

inut

es

Sess

ion

3: 3

0-60

min

utes

Lunc

h

Sess

ion

4: 1

-2 h

ours

Sess

ion

5: 3

0-45

min

utes

Sess

ion

1: 6

0 m

inut

es

Sess

ion

3: 3

0-60

min

utes

Sess

ion

5: 3

0-45

min

utes

Sess

ion

2: 6

0 m

inut

es

Sess

ion

3: 3

0 m

inut

es (o

ptio

nal)

Sess

ion

4: 1

-2 h

ours

Teac

h-ba

ck se

ssio

ns ca

n be

don

e as

full-

day

or h

alf-

day

wor

ksho

ps, o

r one

sess

ion

at a

tim

e. Ta

ke a

dvan

tage

of t

imes

whe

n te

ache

rs m

ay a

lread

y be

wor

king

toge

ther

, suc

h as

in st

aff m

eetin

gs o

r afte

r sch

ool.

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19Climbing the Data Ladder Workbook | NWEA™

ACTIVITIES

Plan

ning

For

war

dW

hat w

ill y

ou d

o w

ith

the

in

form

atio

n yo

u le

arne

d to

day?

How

will

you

app

roac

h

impl

emen

tati

on?

Who

will

be

invo

lved

?W

hen

will

you

try

it?

For

futu

re u

se, a

n ad

ditio

nal c

opy

of th

is w

orks

heet

is p

rovi

ded

in S

ectio

n 4

of th

is w

orkb

ook.

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20 Climbing the Data Ladder Workbook | NWEA™

ACTI

VITI

ES

Notes

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21Climbing the Data Ladder Workbook | NWEA™

SAM

PLE LAD

DERS

SECTION 2 Sample Ladders

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22 Climbing the Data Ladder Workbook | NWEA™

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23Climbing the Data Ladder Workbook | NWEA™

SAM

PLE LAD

DERS

Dat

a to

Inst

ruct

ion

Fram

ewor

kCo

nten

t Are

aSc

ienc

e

Conc

ept

Wea

ther

and

Clim

ate

(Sta

ndar

ds 5

.3.4

, 5.3

.8)

Ove

rall

Scor

e Ra

nge

18

1-22

0G

oal P

erfo

rman

ce A

rea

Gen

eral

Sci

ence

: Ear

th a

nd S

pace

Sys

tem

s

Stud

ent

Gro

ups

Skill

s fr

om S

elec

ted

Lear

ning

Sta

tem

ents

Stud

ent A

ctiv

itie

s/In

stru

ctio

nal S

trat

egie

s As

sess

men

t

Abov

e-Sc

ore

Rang

e

Allis

onAn

dres

iaCa

rter

Lily

RIT

211-

220

��

Anal

yzes

pro

cess

es th

at c

ompr

ise

the

wat

er c

ycle

��

Ord

ers

step

s of

the

wat

er c

ycle

��

Anal

yzes

hum

idit

y in

wea

ther

sys

tem

s��

Des

crib

es th

e pr

oces

s of

con

dens

atio

n��

Des

crib

es th

e pr

oces

s of

free

zing

in te

rms

of p

hase

cha

nges

��

Des

crib

es a

nd r

ecog

nize

s pr

oper

ties

of g

ases

��

Expl

ains

that

as

heat

is a

dded

to a

sub

stan

ce, t

he p

artic

les

mak

ing

up th

e su

bsta

nce

mov

e fa

rthe

r ap

art

��

Des

crib

es th

e re

lativ

e fr

eedo

m o

f mot

ion

of s

olid

s, li

quid

s an

d ga

ses

��

Expl

ains

that

rem

ovin

g he

at fr

om a

sub

stan

ce w

ill c

ause

it to

ch

ange

from

a g

as to

a li

quid

or

from

liqu

id to

sol

id fo

rm��

Inte

rpre

ts d

iagr

ams

show

ing

the

rela

tive

spac

ing

and

mov

e-m

ent o

f mat

ter

in d

iffer

ent p

hase

s

��

Intr

oduc

tory

Act

ivit

y: B

ag o

f But

ane

(dis

crep

ant e

vent

)��

Conc

ept M

appi

ng to

det

erm

ine

prio

r kn

owle

dge

of w

ater

cy

cle

��

Activ

ity:

The

Wat

er D

ance

, Par

t 1��

Wor

kshe

et: T

hink

ing

abou

t the

Wat

er D

ance

, C��

Dem

o: W

ater

Cyc

le: Q

uest

ion

set C

��

Lab

activ

ity:

Clo

ud in

a B

ottl

e C

��

Read

ing:

The

Gas

Law

s��

Reso

urce

: Alla

by, M

icha

el. D

K Gu

ide

to W

eath

er. (

1150

L)��

Read

ing:

Tru

eit,

Tru

dy S

trai

n. C

loud

s. (1

180L

)��

Read

ing:

Tru

eit,

Tru

dy S

trai

n. T

he W

ater

Cyc

le. (

1130

L)��

Jigs

aw P

roje

ct: C

reat

ing

a co

ncep

tual

mod

el o

f the

kin

etic

m

olec

ular

theo

ry

Mid

dle-

Scor

e Ra

nge

Jord

anD

ean

Tabi

tha

Gar

yAn

neJe

ssic

aD

awne

Kris

ta

Aman

daJa

son

Kyle

Rebe

kah

Josi

eAu

stin

RIT

201-

210

��

Anal

yzes

pro

cess

es w

hich

com

pris

e th

e w

ater

cyc

le��

Des

crib

es th

e w

ater

cyc

le��

Def

ines

hum

idit

y��

Des

crib

es h

ow d

ew fo

rms

on s

urfa

ces

��

Des

crib

es th

e pr

oces

s of

con

dens

atio

n, e

vapo

ratio

n, fr

eezi

ng��

Rela

tes

surf

ace

area

to e

vapo

ratio

n��

Expl

ains

that

mat

ter

can

chan

ge fr

om o

ne p

hysi

cal s

tate

to

anot

her

��

Expl

ains

that

hea

ting

or c

oolin

g m

ater

ials

may

cau

se th

eir

stat

e to

cha

nge

��

Expl

ains

that

as

heat

is a

pplie

d to

a s

ubst

ance

, the

par

ticle

s m

akin

g up

the

subs

tanc

e in

crea

se in

thei

r m

otio

n��

Expl

ains

that

wat

er is

nea

rly

uniq

ue in

that

it e

xist

s in

thre

e st

ates

in n

atur

e

��

Intr

oduc

tory

Act

ivit

y: B

ag o

f But

ane

(dis

crep

ant e

vent

)��

Conc

ept M

appi

ng to

det

erm

ine

prio

r kn

owle

dge

of w

ater

cy

cle

��

Activ

ity:

The

Wat

er D

ance

, Par

t 1��

Wor

kshe

et: T

hink

ing

abou

t the

Wat

er D

ance

, B��

Dem

o: W

ater

Cyc

le: Q

uest

ion

set B

��

Lab

activ

ity:

Clo

ud in

a B

ottl

e B

��

Read

ing:

Wic

k, W

alte

r. A

Dro

p of

Wat

er. (

870L

) ��

Jigs

aw P

roje

ct: T

he W

ater

Dan

ce, P

art 2

. Cre

atin

g a

mod

el

of m

olec

ular

mov

emen

t due

to c

hang

es in

hea

t dur

ing

evap

orat

ion,

con

dens

atio

n, a

nd p

reci

pita

tion

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24 Climbing the Data Ladder Workbook | NWEA™

SAM

PLE

LAD

DER

S

Dat

a to

Inst

ruct

ion

Fram

ewor

k (c

onti

nued

)

Cont

ent A

rea

Scie

nce

Conc

ept

Wea

ther

and

Clim

ate

(Sta

ndar

ds 5

.3.4

, 5.3

.8)

Ove

rall

Scor

e Ra

nge

18

1-22

0G

oal P

erfo

rman

ce A

rea

Gen

eral

Sci

ence

: Ear

th a

nd S

pace

Sys

tem

s

Stud

ent

Gro

ups

Skill

s fr

om S

elec

ted

Lear

ning

Sta

tem

ents

Stud

ent A

ctiv

itie

s/In

stru

ctio

nal S

trat

egie

s As

sess

men

t

Belo

w-S

core

Ra

nge

Dav

idD

ariu

sH

ope

Curt

isD

onna

Skyl

erAl

exan

dra

RIT

181-

190

��

Reco

gniz

es p

roce

sses

that

mak

e up

the

wat

er c

ycle

��

Inte

rpre

ts d

ata

rela

ted

to fr

eezi

ng��

Giv

es e

xam

ples

of w

ater

in e

ach

stat

e of

mat

ter

RIT

191-

200

��

Giv

es e

xam

ples

of f

orm

s of

pre

cipi

tatio

n��

Des

crib

es h

ow c

loud

s fo

rm��

Reco

gniz

es th

at c

loud

s an

d fo

g ar

e m

ade

of ti

ny w

ater

dr

ople

ts��

Des

crib

es th

e pr

oces

s of

eva

pora

tion,

mel

ting

��

Reco

gniz

es th

at w

ater

can

und

ergo

cha

nges

of s

tate

��

Nam

es th

e th

ree

diffe

rent

sta

tes

of m

atte

r��

Clas

sifie

s ob

ject

s ar

e so

lid, l

iqui

d or

gas

��

Intr

oduc

tory

Act

ivit

y: B

ag o

f But

ane

(dis

crep

ant e

vent

)��

Conc

ept M

appi

ng to

det

erm

ine

prio

r kn

owle

dge

of w

ater

cy

cle

��

Activ

ity:

The

Wat

er D

ance

, Par

t 1��

Wor

kshe

et: T

hink

ing

abou

t the

Wat

er D

ance

, A��

Dem

o: W

ater

Cyc

le: Q

uest

ion

set A

��

Lab

activ

ity:

Clo

ud in

a B

ottl

e A

��

Read

ing:

Blis

s, P

amel

a. In

trod

uctio

n to

the

Wea

ther

. (58

0L)

��

Jigs

aw P

roje

ct: C

reat

ing

phys

ical

mol

ecul

ar m

odel

s of

so

lids,

liqu

ids

and

gase

s

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25Climbing the Data Ladder Workbook | NWEA™

SAM

PLE LAD

DERS

DesCartes StatementsStudentsJacob Abby

RIT 191-200�� Tells time to the nearest

quarter-hour�� Tells time to the nearest one

minute

StudentsChris Alaina Amanda LilyMattBella S.Scott

RIT 181-190�� Tells time to the nearest five

minutes

StudentsKayla Maggie Andrew Bella H. Tony RobNoahHannahJosh

RIT 171-180�� Tells time to the nearest hour�� Tells time to the nearest half-hour�� Tells time to the nearest five

minutes

StudentsJamie Ashley Julio EmilyJack

RIT 161-170�� Tells time to the nearest hour�� Tells time to the nearest half-hour

StudentsJoey

RIT below 161(no related statements)

Group 1 ActivityWhole Class Activity/Review (same for all)�� Students have hand-held clock boards.�� Draw digital clock on board. Write times on

clock one by one; have students respond to each one by manipulating hand-held clock to match.

�� Begin with times to the hour, then try a few half-hour, five minute and one minute examples.

�� Have students move to computers for differentiated practice.

Individual Practicehttp://www.oswego.org/ocsd-web/games /StopTheClock/sthec4.html

Group 2 ActivityWhole Class Activity/Review (same for all)�� Students have hand-held clock boards.�� Draw digital clock on board. Write times on

clock one by one; have students respond to each one by manipulating hand-held clock to match.

�� Begin with times to the hour, then try a few half-hour, five minute and one minute examples.

�� Have students move to computers for leveled practice.

Individual Practicehttp://www.cyberbee.com/games /timeteacher.html

Group 3 ActivityWhole Class Activity/Review (same for all)�� Students have hand-held clock boards.�� Draw digital clock on board. Write times on

clock one by one; have students respond to each one by manipulating hand-held clock to match.

�� Begin with times to the hour, then try a few half-hour, five minute and one minute examples.

�� Have students move to computers for leveled practice.

Individual Practicehttp://www.primarygames.com/time/start.htm

Instructional Ladders: Math Example: Telling Time

Standards 2nd Grade Math: M.2.1.3. Tell time, using both digital and analog clocks, to the half-hour.

Note: Learning statements found in your state version of DesCartes may differ slightly; however, approximately 90 percent of content and skills articulated in DesCartes learning statements are consistent from state to state.

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26 Climbing the Data Ladder Workbook | NWEA™

SAM

PLE

LAD

DER

S

Instructional Strategies�� Distinguish between factual statements and

opinions presented in personal accounts from climbers in 1996 Everest expedition. Complete chart provided.

�� Apply information from text to a new situation. Write a short paper using facts and opinions to persuade someone to either climb or not climb Mount Everest.

Resources�� Reading: Read and understand Altitude and Brain

Function at www.pbs.org/wgbh/nova/everest/exposure/�� Vocabulary: hubris, Sherpa, edema, antithesis, prodigal�� Writing rubric

Instructional Strategies�� Read the summary statements about the passage.

Identify which statements are facts and which are opinions. Identify any statements that are not supported by the passage.

�� On the chart, write in the opinion statements. Write an opposing or conflicting opinion for each statement.

Resources�� Reading: Read and understand excerpts from Into Thin

Air by Jon Krakauer (1080L)�� Vocabulary: Kathmandu, profiteer, apex, crevasse

Instructional Strategies�� Using statements from the text, identify which

statements are facts and which are opinions. Determine how you know each is either fact or opinion. Complete the chart provided.

�� Write two fact sentences and two opinion sentences. Trade papers with a partner and have them identify your fact/opinion sentences.

Resources�� Reading: Read and understand Beyond the Limits by

Stacey Allison (780L)�� Vocabulary: charismatic, syringe, summit (v.), Nepal

Instructional Strategies�� Identify statements of fact and opinion from the text.�� Write three examples of fact and opinion statements

from the text. Highlight words in each statement that signal fact or opinion in the sentences.

�� Write two fact sentences and two opinion statements. Trade papers with a partner and have them identify your fact/opinion sentences.

Resources�� Reading: Read and understand Scope magazine article

“My Everest Story” (530L)�� Vocabulary: comprehension, summit (n.), gust, incline,

altitude

DesCartes StatementsStudentsJanel RachelLily MikeDaniel DebLucy

RIT 221-230�� Draws conclusions supported by

content in informational text�� Makes inferences supported by

the content in informational text

StudentsKenna MeganLisa DavidAaron EliRae Olivia

RIT 211-220�� Classifies statements as examples

of opposing opinion in informa-tional text

�� Distinguishes between facts and opinions that are unsubstantiated by informational text

StudentsKevin KaylaBeth CalebLauren SamAlyssa ChaseHenry

RIT 201-210�� Distinguishes between fact and

opinion in informational text�� Distinguishes characteristics of

informational sentences that are opinions versus sentences that are facts

StudentsPeter KateWill

RIT 191-200�� Distinguishes between fact and

opinion in informational text�� Gives examples of informational

sentences that are facts�� Gives examples of sentences in

informational text that are opinions

�� Describes characteristics of sentences that are opinions in informational text

Instructional Ladders: Middle School Reading Example Standards 6th-8th grade: LA.2.1.3. Make inferences, draw conclusions, and form opinions based on information gathered from text, and cite evidence to support.

Note: Learning statements found in your state version of DesCartes may differ slightly; however, approximately 90 percent of content and skills articulated in DesCartes learning statements are consistent from state to state.

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SECTION 3 Resources

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What is the “Zone of Proximal Development?”A central concept in Lev Vygotsky’s Zone of Proximal Development theory is that determining the optimal match between the learner’s background knowledge and the introduction of new ideas and skills is an effective way to maximize academic growth.

For additional information, read An Overview of Zone of Proximal Development Theory.

An Overview of Zone of Proximal Development TheoryPurpose

Examines social constructs and cognitive placement related to optimal learning in the child. Supports appropriate beginning points for students as well as interactive developmental op-portunities as a bridge to learning new ideas.

Definition

The Zone of Proximal Development bridges the gap between what is known and what can be known. Vygotsky claimed that optimal learning occurred in this zone.

Implications for Instruction

Traditionally, schools have not promoted environments in which students play an active role in their own education as well as their peers’. Vygotsky’s theory requires the teacher and stu-dents to play untraditional roles as they collaborate with each other. Instead of a teacher dic-tating meaning to students for future recitation, a teacher should collaborate with students to make their own meaning (Hausfather, 1996). Learning becomes a reciprocal experience for the students and teacher.

1. The physical classroom, based on Vygotsky’s theory, would provide clustered desks or tables and work space for peer instruction, collaboration, and small-group instruction. Like the environment, the instructional design of learning material would promote student interaction and collaboration. Thus the classroom becomes a community of learning.

2. Because Vygotsky asserts that cognitive change occurs within the zone of proximal development, instruction would be designed to reach a developmental level just above the student’s current developmental level.

3. Individuals participating in peer collaboration or guided teacher instruction must share the same focus to access the zone of proximal development. “Joint attention and shared problem solving is needed to create a process of cognitive, social, and emotional inter-change” (Driscoll, 1994). “If one partner dominates, the interaction is less successful” (Hausfather, 1996).

Scaffolding and reciprocal teaching are effective strategies to access the zone of proximal development. Scaffolding requires the teacher to provide students the opportunity to extend their current skills and knowledge. The teacher must engage students’ interest, simplify tasks so they are manageable, and motivate students to pursue the instructional goal. In addition, the teacher must look for discrepancies between students’ efforts and the solution, control for frustration and risk, and model an idealized version of the act (Hausfather, 1996).

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An Overview of Zone of Proximal Development Theory(continued)

Entry Points

The zone of proximal development theory focuses on the concept of readiness to learn, emphasizing upper levels of competence and achieving the proper “reach” for all students as they enter a lesson. These upper boundaries are not immutable, however, but constantly changing with the learner’s increasing independent competence. What a child can perform today with assistance, she will be able to perform tomorrow independently, thus preparing her entry into a new and more demanding collaboration.

It also emphasizes structures for learning which have significant implications for classroom instruction. Vygotsky’s research compels us to recognize the importance of social exchange in accelerating cognitive development and to build classrooms around structures and pro-cedures which support this kind of interactive, responsive instruction. It also suggests that learners collaborate with others of like readiness so that balanced, true collaboration occurs.

References�� Driscoll, Marcy P. 1994, Psychology of Learning for Instruction, Needham, Ma: Allyn & Bacon.

�� Crawford, Kathryn 1996, “Vygotskian approaches to human development in the information era,” Educational Studies in Mathematics, (31) 43-62.

�� Hausfather, Samuel J. 1996, “Vygotsky and Schooling: Creating a Social Contest for Learning,” Action in Teacher Education, (18) 1-10.

�� Riddle, Elizabeth M. (1999), Lev Vygotsky’s Social Development Theory, EDIT 704.

�� Saettler, P. (1990), The Evolution of American Educational Technology, Englewood, Co: Libraries Unlimited.

�� Vygotsky, L.S. (1978), Mind and society: The development of higher mental processes, Cambridge, MA: Harvard University Press.

�� Wertsch, James V. Sohmer, Richard (1995), “Vygotsky on learning and development,” Human Development, (38) 332-37.

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Instructional Strategies

4MAT® Model �� Explains learning based on the ways people perceive and process information. Created

by Bernice McCarthy. �� Learning is organized along four quadrants: Meaning (Why?), Concepts (What?), Skills

(How?), and Adaptations (If?).

Compacting This strategy has three steps:

1. Assess what a student already knows about the material and what the student still needs to master.

2. Plan for learning what is not known.

3. Plan to spend freed-up time in enriched or accelerated activity.

Complex Instruction �� Students work on a task together at learning centers in small, heterogenous groups,

which calls upon the skills of all students in the group. �� Groups change often. �� Tasks must be open-ended, uncertain, challenging, and involve the use of real objects. �� Reading and writing are integrated into the task. �� The teacher moves among the groups, asking questions to help facilitate learning.

Example: Find as many ways as you can to locate Virginia. Create a set of instructions for a group to use.

Cubing �� Includes six commands or questions. Can be used to differentiate by readiness, interest,

or learning profile.�� Sample Commands: Compare, Contrast, Describe, Analyze, Predict, Imagine.

Independent Study �� The student and teacher identify problems or topics of interest to the student. �� Both student and teacher plan a method of investigating the problem or topic and

identify what product the student will develop.

Interest Centers �� Designed to motivate student’s exploration of interesting topics.

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Instructional Strategies (continued)

Learning Contracts �� Provide students with an opportunity to work somewhat independently on material that

is largely teacher-directed.�� Can include the following:

1. Skills Component

2. Content Component

3. Timeline

4. Agreement

Multiple Intelligences �� Theory developed by Dr. Howard Gardner that includes eight different intelligences:

Verbal/Linguistic, Bodily Kinestic, Spatial, Musical/Rhythmic, Interpersonal, Intrapersonal, Logical/Mathematical, Naturalist.

�� Students need the chance to work in all intelligences, especially their strongest intelligence.

Orbitals �� Independent investigations (3-6 weeks). �� These “orbit” some facet of the curriculum. �� Students select their own topics to investigate, working with the teacher to develop

expertise on the topic.

Tiered Lessons and Assignments �� Focus on essential skills and understanding at different levels of complexity,

abstractness, and open-endedness. �� These assignments ensure that students explore ideas at a level that builds on prior

knowledge and prompts continued growth.

Varied Journal Prompts �� Let students choose a topic. These can be varied by readiness, interest, or learning

profile.

Varied Questioning Strategies �� Asking questions that vary from simple (knowledge and comprehension) to complex

(synthesis). �� Sometimes called “skinny” and “fat” questions.

Varied Organizers �� Provide a visual way to organize information, clarify thinking, reinforce understanding,

and integrate new knowledge.

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DATA TO INSTRUCTION FRAMEWORKContent Area

Concept

Overall Score Range Goal Performance Area

Student Groups Skills from Selected Learning Statements

Student Activities/Instructional Strategies Assessment

Above-Score Range

RIT Range:

Middle-Score Range

RIT Range:

Below Score Range

RIT Range:

Your Turn: From Data to Instruction

3

2

1

StepIdentify a concept or standard.

StepIdentify the area of DesCartes related to the concept or standard.

StepHighlight the skills in DesCartes related to the concept or standard.

�� Use the Class Breakdown by Goal Report to identify the RIT band for each student.�� Place student names on DesCartes in their scoring groups.�� Revisit DesCartes scoring groups. Reflecting on each group’s readiness, how will you

regroup students to meet their needs and make teaching more manageable? ______________________________________________________________________________________ ______________________________________________________________________________________

�� How will you teach to meet each group’s needs? ______________________________________________________________________________________ ______________________________________________________________________________________

1 2 3

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Differentiation Planner

ContentWhat skills or concepts are students expected to know and/or demonstrate at the end of the unit or project?

What learning materials (i.e., textbooks, manipulatives, tools) will be used?

Are all students expected to learn the same skills or concepts at the same difficulty level? Will all students use the same learning materials?

YesConsider differentiatingthe product or process.

No�� Use your MAP data and DesCartes to identify the levels

of difficulty appropriate for each student or group of students. What is each student accountable for learning?

Consider�� Flexible groups

� Group students for instruction based on their level of readiness (using RIT scores and other assessment results as a guide).

� Would small groups work with this unit or project?

�� Independent work

� If any students are significantly above or below the rest of the group, consider developing inde-pendent projects or assignments at an appropriate level of difficulty.

� Which students would benefit from independent work?

�� Lexile® measures

� Are there reading materials in use?

� How can Lexile® measures match students to appropriate reading materials?

Product/AssessmentHow will the student show what they’ve learned at the end of the unit or project?

Will all students be given the same assessment?

YesConsider differentiating the activities or learning materials.

No �� Can the assessment or expectations be adjusted to

levels appropriate for each student or group of students?

Consider�� Leveled tests or assignments

� Start with the assessment you would normally use. Use DesCartes as a guide to adjust the difficulty or complexity of each question or requirement.

�� Rubrics or checklists

� Especially useful for projects.

� Create a rubric appropriate for students in the middle. Use DesCartes as a guide for increasing or decreasing the level of difficulty as needed.

Process

What activities, lessons, and assignments are included in this project or unit?

Would any of these lessons be logical choices for differentiation?

Consider�� Could the lesson be made simpler or more complex?�� Tomlinson’s suggested adjustments:

kidsource.com/kidsource/content/diff_instruction.html

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Resources of Interest

Printed Resources�� Tomlinson, C.A. (1995). How to Differentiate Instruction in Mixed Ability Classrooms.

Alexandria, VA: ASCD.

Online Resources

NWEA.org�� Partner Support�� SPARK Community

Student Learning Inventories�� Surfaquarium.com/MI/inventory.html�� NCSU.edu/felder-public/ILSpage.html

The Lexile® Framework for Reading�� Lexile.com

Online Booklist Resources�� MetaMetrics® Lexile® Booklist

� Lexile.com/fab/

�� Barnes & Noble® Lexile® Reading Level Wizard

� Barnesandnoble.com/reading-level-reading-books-lexile/search.asp

�� Scholastic® Book Wizard®

� Scholastic.com/bookwizard/

Instructional Strategies and Ladders�� Foridahoteachers.org

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Notes

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WO

RKSH

EETS

SECTION 4 Worksheets

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Provided for your use by Northwest Evaluation Association™

Appointment Clock

Strategies and TechniquesFormative Assessment Grouping Management

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DesCartes StatementsStudents: RIT over 261:

Students: RIT 251-260:

Students: RIT 241-250:

Students: RIT 231-240:

Students: RIT 221-230:

Students: RIT 211-220:

Students: RIT 201-210:

Students: RIT 191-200:

Students: RIT 181-190:

Students: RIT 171-180:

Students: RIT 161-170:

Students: RIT below 161:

Instructional Ladder

Standards

Provided for your use by Northwest Evaluation Association™

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