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Go to www.learningsciences.com/bookresources to download this page. Performance Assessment © 2015 Learning Sciences International PERFORMANCE ASSESSMENT: SHOWING WHAT STUDENTS KNOW AND CAN DO The Algebra Problem of the Week Scoring Rubric for Students For each category, find the level that best describes your work. Novice Apprentice Practitioner Expert Problem Solving Interpretation I understand little of the math involved in the problem. I understand some of the math concepts in the problem, but not all of them. I didn’t solve all parts of the main problem. I understand all of the math concepts in the problem. I attempted to solve all parts of the main problem. I understand the Extra and solved it correctly. I am at least a Practitioner in Strategy. Strategy I didn’t know how to set up the problem. I had no ideas that would lead me to the correct solution. I picked an incorrect strategy. My strategy relied on luck to get the right answer. I used guess and check exclusively, with no algebraic techniques. I used a sound strategy and solved the problem with skill, not luck. I used algebraic techniques, including variables, expressions, and equations. I used two separate strategies. I used an unusual or sophisticated strategy. Accuracy My work contains many mistakes. My work is mostly accurate, with a few errors, such as calculation mistakes or using incorrect units. My work is accurate and contains no arithmetic mistakes. I used the correct units. (not possible for most problems) Communication Completeness I didn’t write much, if anything, about how I found my answer. I didn’t define my variables. I didn’t explain where my expressions or equations came from. I showed my work, but didn’t explain it. I explained what I did without showing any of the actual work. I defined my variables. I explained all of the steps taken to solve the problem. I stated any equations and formulas used and explained where most of those equations came from. I added useful extensions and further explanation of some of the ideas involved. Clarity My explanation is very difficult to read and follow. My explanation isn’t entirely unclear, but another student wouldn’t be able to follow it easily. My explanation is long and written entirely in one paragraph. My explanation has many spelling, grammar, and typing errors. I explained all of the steps in such a way that another student would understand. I made an effort to check my formatting, grammar, spelling, and typing, though there may still be a few small mistakes. I formatted things exceptionally clearly. My answer is very readable and it looks good! Reflection (see list) I did nothing reflective. I did one reflective thing. I did two reflective things. I did three or more reflective things or did an exceptional job with two of them. The items in the columns to the right are considered reflective. They could be in the solution or the comment left after reviewing the Math Forum’s answer. I checked my answer in some way (in addition to viewing the answer provided by the Math Forum). I reflected on the reasonableness of my answer. I summarized the process I used. I connected the problem to prior problems or experiences. I explained where I’m stuck. I commented on and explained the ease or difficulty of the problem. I revised and improved my work. Reprinted with permission of The Math Forum @ Drexel, an online community for mathematics education (mathforum.org/). © Copyright 1994–2014, The Math Forum @ Drexel.

The Algebra Problem of the Week Scoring Rubric for Students · The Algebra Problem of the Week Scoring Rubric for Students For each category, find the level that best describes your

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Page 1: The Algebra Problem of the Week Scoring Rubric for Students · The Algebra Problem of the Week Scoring Rubric for Students For each category, find the level that best describes your

Go to www.learningsciences.com/bookresources to download this page.Performance Assessment © 2015 Learning Sciences International

PERFORMANCE ASSESSMENT: SHOWING WHAT STUDENTS KNOW AND CAN DOT

he A

lgeb

ra P

rob

lem

of

the

Wee

k S

cori

ng R

ubri

c fo

r St

uden

ts

For

each

cat

egor

y, fi

nd t

he le

vel t

hat

best

des

crib

es y

our

wor

k.

Nov

ice

App

rent

ice

Prac

titi

oner

Expe

rt

Pro

ble

m S

olv

ing

Inte

rpre

tati

on

I und

erst

and

littl

e of

the

mat

h in

volv

ed in

the

pro

blem

.I u

nder

stan

d so

me

of t

he m

ath

conc

epts

in t

he

prob

lem

, but

not

all

of t

hem

.

I did

n’t

solv

e al

l par

ts o

f the

mai

n pr

oble

m.

I und

erst

and

all o

f the

mat

h co

ncep

ts in

the

pro

blem

.

I att

empt

ed t

o so

lve

all p

arts

of

the

mai

n pr

oble

m.

I und

erst

and

the

Ext

ra a

nd s

olve

d it

corr

ectly

.

I am

at

leas

t a

Pra

ctiti

oner

in S

trat

egy.

Str

ateg

yI d

idn’

t kn

ow h

ow t

o se

t up

the

pr

oble

m.

I had

no

idea

s th

at w

ould

lead

m

e to

the

cor

rect

sol

utio

n.

I pic

ked

an in

corr

ect

stra

tegy

.

My

stra

tegy

rel

ied

on lu

ck t

o g

et t

he r

ight

an

swer

.

I use

d g

uess

and

che

ck e

xclu

sive

ly, w

ith n

o al

geb

raic

tec

hniq

ues.

I use

d a

soun

d st

rate

gy a

nd

solv

ed t

he p

robl

em w

ith s

kill,

no

t lu

ck.

I use

d al

geb

raic

tec

hniq

ues,

in

clud

ing

vari

able

s,

expr

essi

ons,

and

eq

uati

ons.

I use

d tw

o se

para

te s

trat

egie

s.

I use

d an

unu

sual

or

soph

isti

cate

d st

rate

gy.

Acc

ura

cyM

y w

ork

cont

ains

man

y m

ista

kes.

My

wor

k is

mos

tly a

ccur

ate,

with

a fe

w e

rror

s,

such

as

calc

ulat

ion

mis

take

s or

usi

ng in

corr

ect

unit

s.

My

wor

k is

acc

urat

e an

d co

ntai

ns n

o ar

ithm

etic

m

ista

kes.

I use

d th

e co

rrec

t un

its.

(not

pos

sibl

e fo

r m

ost

prob

lem

s)

Co

mm

unic

atio

n

Co

mp

lete

nes

sI d

idn’

t w

rite

muc

h, if

any

thin

g,

abou

t ho

w I

foun

d m

y an

swer

.I d

idn’

t d

efine

my

vari

able

s.

I did

n’t

expl

ain

whe

re m

y ex

pres

sion

s or

eq

uati

ons

cam

e fr

om.

I sho

wed

my

wor

k, b

ut d

idn’

t ex

plai

n it

.

I exp

lain

ed w

hat

I did

with

out

show

ing

any

of t

he

actu

al w

ork.

I defi

ned

my

vari

able

s.

I exp

lain

ed a

ll of

the

ste

ps

take

n to

sol

ve t

he p

robl

em.

I sta

ted

any

equa

tion

s an

d fo

rmul

as u

sed

and

expl

aine

d w

here

mos

t of

tho

se

equa

tion

s ca

me

from

.

I ad

ded

use

ful e

xten

sion

s an

d fu

rthe

r ex

plan

atio

n of

som

e of

the

idea

s in

volv

ed.

Cla

rity

My

expl

anat

ion

is v

ery

diffi

cult

to

read

and

follo

w.

My

expl

anat

ion

isn’

t en

tire

ly u

ncle

ar, b

ut a

noth

er

stud

ent

wou

ldn’

t b

e ab

le t

o fo

llow

it e

asily

.

My

expl

anat

ion

is lo

ng a

nd w

ritt

en e

ntir

ely

in

one

para

grap

h.

My

expl

anat

ion

has

man

y sp

ellin

g, g

ram

mar

, and

ty

ping

err

ors.

I exp

lain

ed a

ll of

the

ste

ps

in s

uch

a w

ay t

hat

anot

her

stud

ent

wou

ld u

nder

stan

d.

I mad

e an

eff

ort

to c

heck

my

form

atti

ng, g

ram

mar

, sp

ellin

g,

and

typi

ng, t

houg

h th

ere

may

st

ill b

e a

few

sm

all m

ista

kes.

I for

mat

ted

thin

gs e

xcep

tion

ally

cle

arly

.

My

answ

er is

ver

y re

adab

le a

nd it

look

s g

ood

!

Refl

ecti

on

(see

list

)I d

id n

othi

ng r

eflec

tive.

I did

one

refl

ectiv

e th

ing

.I d

id t

wo

refle

ctiv

e th

ings

.I d

id t

hree

or

mor

e re

flect

ive

thin

gs o

r di

d an

exc

epti

onal

job

with

tw

o of

the

m.

The

item

s in

the

colu

mns

to th

e rig

ht a

re c

onsi

dere

d re

flect

ive.

Th

ey c

ould

be

in th

e so

luti

on o

r th

e co

mm

ent l

eft a

fter

revi

ewin

g th

e M

ath

Foru

m’s

ans

wer

.

I che

cked

my

answ

er in

som

e w

ay (

in a

dditi

on to

vi

ewin

g th

e an

swer

pro

vide

d by

the

Mat

h Fo

rum

).

I refl

ecte

d on

the

rea

sona

blen

ess

of m

y an

swer

.

I sum

mar

ized

the

pro

cess

I us

ed.

I con

nect

ed t

he p

robl

em t

o pr

ior

prob

lem

s or

exp

erie

nces

.

I exp

lain

ed w

here

I’m

stu

ck.

I com

men

ted

on a

nd e

xpla

ined

the

eas

e or

diffi

cult

y of

the

pro

blem

.

I rev

ised

and

impr

oved

my

wor

k.

Rep

rin

ted

wit

h p

erm

issi

on

of

Th

e M

ath

Fo

rum

@ D

rexe

l, an

on

line

com

mu

nit

y fo

r m

ath

emat

ics

edu

cati

on

(mat

hfo

rum

.org

/).

© C

op

yrig

ht

199

4–2

014

, Th

e M

ath

Fo

rum

@ D

rexe

l.

Performance_Assessment_FINAL_ARCHIVE_05-29-15.indd 78 6/15/15 3:29 PM