Common Core Appendix To Math Curriculum (8th Grade) Page 2

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8.G.13   Determine   t he   s lope   o f   a   l ine   f rom   a   g raph   a nd   e xplain   t he   m eaning   o f   s lope  
as   a   c onstant   r ate   o f   c hange  
8.G.16   Determine   t he   e quation   o f   a   l ine   g iven   t he   s lope   a nd   y -­‐intercept  
8.G.17   Graph   a   l ine   f rom   a n   e quation   i n   s lope-­‐intercept   f orm   ( y=mx+b)  
Analyze   a nd   s olve   l inear  
7.A.1  
Translate   t wo-­‐step   v erbal   e xpressions   i nto   a lgebraic   e xpressions  
equations   a nd   p airs   o f  
7.A.2  
Add   a nd   s ubtract   m onomials   w ith   e xponents   o f   o ne  
simultaneous   l inear   e quations.  
7.A.3  
Identify   a   p olynomial   a s   a n   a lgebraic   e xpression   c ontaining   o ne   o r   m ore  
terms  
7.A.4  
Solve   m ulti-­‐step   e quations   b y   c ombining   l ike   t erms,   u sing   t he   d istributive  
property,   o r   m oving   v ariables   t o   o ne   s ide   o f   t he   e quation  
8.G.18   Solve   s ystems   o f   e quations   g raphically   ( only   l inear,   i ntegral   s olutions,   y   =  
mx+b   f ormat,   n o   v ertical   a nd/or   h orizontal   l ines)  
8.G.19   Graph   t he   s olution   s et   o f   a n   i nequality   o n   a   n umber   l ine  
8.G.20   Distinguish   b etween   l inear   a nd   n onlinear   e quations   a x2   +   b x   +   c ;   a =   1   ( only  
graphically)  
Functions  
Define,   e valuate,   a nd   c ompare  
7.A.10  
Write   a n   e quation   t o   r epresent   a   f unction   f rom   a   t able   o f   v alues  
functions.  
8.A.17  
Define   a nd   u se   c orrect   t erminology   w hen   r eferring   t o   f unction   ( domain   a nd  
range)  
8.A.18  
Determine   i f   a   r elation   i s   a   f unction  
8.A.19  
Interpret   m ultiple   r epresentations   u sing   e quations,   t able   o f   v alues,   a nd  
graph  
Use   f unctions   t o   m odel  
8.G.20   Distinguish   b etween   l inear   a nd   n onlinear   e quations   a x2   +   b x   +   c ;   a =   1   ( only  
relationships   b etween  
graphically)  
quantities.  
8.G.21   Recognize   t he   c haracteristics   o f   q uadratics   i n   t ables,   g raphs,   e quations,   a nd  
situations  
Geometry  
Understand   c ongruence   a nd  
8.G.7  
Describe   a nd   i dentify   t ransformations   i n   t he   p lane,   u sing   p roper   f unction  
similarity   u sing   p hysical  
notation   ( rotations,   r eflections,   t ranslations,   a nd   d ilations)  
models,   t ransparencies,   o r  
8.G.8  
Draw   t he   i mage   o f   a   f igure   u nder   r otation   b y   9 0   a nd   1 80   d egrees  
geometry   s oftware  
8.G.9  
Draw   t he   i mage   o f   a   f igure   u nder   a   r eflection   o ver   a   g iven   l ine  
8.G.10   Draw   t he   i mage   o f   a   f igure   u nder   a   t ranslation  
8.G.11   Draw   t he   i mage   o f   a   f igure   u nder   a   d ilation  
8.G.12   Identify   t he   p roperties   p reserved   a nd   n ot   p reserved   u nder   a   r eflection,  
rotation,   t ranslation,   a nd   d ilation  
Understand   a nd   a pply   t he  
7.G.5  
Identify   t he   r ight   a ngle,   h ypotenuse,   a nd   l egs   o f   a   r ight   t riangle  
Pythagorean   T heorem  
7.G.6  
Explore   t he   r elationship   b etween   t he   l engths   o f    
the   t hree   s ides   o f   a   r ight   t riangle   t o   d evelop   t he   P ythagorean   T heorem  
7.G.8  
Use   t he   P ythagorean   T heorem   t o   d etermine   t he   u nknown   l ength   o f   a   s ide   o f  
a   r ight   t riangle  
7.G.9  
Determine   w hether   a   g iven   t riangle   i s   a   r ight   t riangle   b y   a pplying   t he  
Pythagorean   T heorem   a nd   u sing   a   c alculator  
Solve   r eal-­‐world   a nd  
7.M.2  
Convert   c apacities   a nd   v olumes   w ithin   a   g iven   s ystem  
mathematical   p roblems  
7.A.6  
Evaluate   f ormulas   f or   g iven   i nput   v alues   ( surface   a rea,   r ate,   a nd   d ensity  
involving   v olume   o f   c ylinders,  
problems)  
cones,   a nd   s pheres  
7.G.1  
Calculate   t he   r adius   o r   d iameter,   g iven   t he   c ircumference   o r   a rea   o f   a   c ircle  
7.G.2  
Calculate   t he   v olume   o f   p risms   a nd   c ylinders   u sing   a   g iven   f ormula   a nd   a  
calculator  
Inwood   I ntermediate   S chool   I S   5 2,   M ath   D epartment   T eam  

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