th
Common C ore A ppendix t o M ath C urriculum ( 8
G rade)
Below, w e h ave m atched u p t he n ew C ore C urriculum S tandards w ith o ur o wn N ew Y ork S tate m ath s tandards f or
reference. O n t he l eft a re t he C ommon C ore S tandards i n t he o rder t hat t hey h ave b een p resented o n t heir w ebsite
( ), a nd o n t he r ight a re t he c odes a nd s tandards t hey p ertain t o b ased o n o ur o wn c urriculum.
Each c ontent s trand h as b een c onverted i nto a “ topic,” a nd t he p rocess s trands h ave b een r edone a s “ mathematical
practices.” P lease r efer t o t he C ommon C ore c urriculum a t
h
Please n ote: T he C ommon C ore S tandards d o n ot m atch p recisely w ith t he N YS s tandards.
th
8
G rade
Common C ore
IS 5 2 v ia N YS S tate
The N umber S ystem
Know t hat t here a re n umbers
7.N.1
Distinguish b etween t he v arious s ubsets o f r eal n umbers ( counting/natural
that a re n ot r ational, a nd
numbers, w hole n umbers, i ntegers, r ational n umbers, a nd i rrational
approximate t hem b y r ational
numbers.)
numbers.
7.N.2
Recognize t he d ifference b etween r ational a nd i rrational n umbers ( e.g.,
explore d ifferent a pproximations o f π .)
7.N.3
Place r ational a nd i rrational n umbers ( approximations) o n a n umber l ine a nd
justify t he p lacement o f t he n umber
Expressions a nd E quations
Work w ith r adicals a nd i nteger
7.N.15 Recognize a nd s tate t he v alue o f t he s quare r oot o f a p erfect s quare ( up t o
exponents.
225)
7.N.16 Determine t he s quare r oot o f n on-‐perfect s quares u sing a c alculator
7.N.17 Classify i rrational n umbers a s n on-‐repeating/non-‐terminating d ecimals
7.N.18 Identify t he t wo c onsecutive w hole n umbers b etween w hich t he s quare r oot
of a n on-‐perfect s quare w hole n umber l ess t han 2 25 l ies ( with a nd w ithout
the u se o f a n umber l ine)
7.N.4
Develop t he l aws o f e xponents f or m ultiplication a nd d ivision
7.N.14 Develop a c onceptual u nderstanding o f n egative a nd z ero e xponents w ith a
base o f t en a nd r elate t o f ractions a nd d ecimals ( e.g., 1 0-‐² = . 01 = 1 /100.)
7.N.5
Write n umbers i n s cientific n otation
7.N.6
Translate n umbers f rom s cientific n otation i nto s tandard f orm
7.N.7
Compare n umbers w ritten i n s cientific n otation
8.N.1
Develop a nd a pply t he l aws o f e xponents
8.A.10
Factor a lgebraic e xpressions u sing t he G CF
8.A.11
Factor a t rinomial o f t he f orm a x2+ b x + c ; a =1 a nd c h aving n o m ore t han 3
sets o f f actors
Understand t he c onnections
7.A.7
Draw the graphic representation of a pattern from an equation or from a table
of data
between p roportional
7.A.8
Create a lgebraic p atterns u sing c harts/tables, g raphs, e quations, a nd
relationships, l ines, a nd l inear
expressions
equations.
7.G.10 Graph t he s olution s et o f a n i nequality ( positive c oefficients o nly) o n a
number l ine
8.M.1
Solve e quations/proportions t o c onvert t o e quivalent m easurements w ithin
metric a nd c ustomary u nits N ote: A lso a llow F ahrenheit t o C elsius a nd v ice
versa
Inwood I ntermediate S chool I S 5 2, M ath D epartment T eam