Georgia Standards of Excellence Curriculum Map 7th Grade These
materials are for nonprofit educational purposes only. Any other
use may constitute copyright infringement.Mathematics Georgia
Department of Education Richard Woods, StateSchool Superintendent J
uly 2015All Rights Reserved Georgia Standards of Excellence Seventh
Grade Curriculum Map1stSemester2ndSemester Unit 1 (4 5 weeks) Unit
2 (4 5 weeks) Unit 3 (4 5 weeks) Unit 4 (4-5 weeks) Unit 5 (4 5
weeks) Unit 6 (3 4 weeks) Unit 7 (3 4 weeks) Operations with
Rational Numbers Expressions & Equations Ratios and
Proportional Relationships GeometryInferencesProbabilityShow What
We Know MCC7.NS.1aMCC7.NS.1bMCC7.NS.1c MCC7.NS.1dMCC7.NS.2a
MCC7.NS.2b MCC7.NS.2c MCC7.NS.2dMCC7.NS.3 MCC7.EE.1 MCC7.EE.2
MCC7.EE.3 MCC7.EE.4a MCC7.EE.4b MCC7.EE.4c MCC7.RP.1 MCC7.RP.2a
MCC7.RP.2bMCC7.RP.2c MCC7.RP.2dMCC7.RP.3 MCC7.G.1 MCC7.G.6 MCC7.G.2
MCC7.G.3 MCC7.G.4 MCC7.G.5 MCC7.SP.1 MCC7.SP.2 MCC7.SP.3 MCC7.SP.4
MCC7.SP.5 MCC7.SP.6 MCC7.SP7 MCC7.SP.7a MCC7.SP.7b MCC7.SP.8a
MCC7.SP.8b MCC7.SP.8c ALL Theseunits werewritten to build upon
concepts fromprior units, so later units contain tasks that depend
upon theconcepts addressed in earlier units. All units will
includetheMathematical Practices and indicateskills to maintain.
NOTE: Mathematical standards areinterwoven and should beaddressed
throughout theyear in as many different units and tasks as
possiblein order to stress thenatural connections that exist among
mathematical topics. Grades 6-8 Key: NS =TheNumber System, RP
=Ratios and Proportional Relationships, EE =Expressions and
Equations, G =Geometry, SP =Statistics and Probability *Revised
standards indicated in bold red font.Georgia Department of
Education Richard Woods, StateSchool Superintendent J uly 2015All
Rights Reserved Georgia Standards of Excellence Seventh Grade
Curriculum Map 1st Semester Standards for Mathematical Practice 1
Makesenseof problems and perseverein solving them. 2 Reason
abstractly and quantitatively. 3 Construct viablearguments and
critiquethereasoning of others. 4 Model with mathematics. 5
Useappropriatetools strategically. 6 Attend to precision. 7 Look
for and makeuseof structure. 8 Look for and express regularity in
repeated reasoning. Unit 1Unit 2 Unit 3 Operations with Rational
NumbersExpressions & EquationsRatios and Proportional
Relationships Applyandextendpreviousunderstandingsofoperations
withfractionstoadd,subtract,multiply,anddivide rational numbers.
MCC7.NS.1 Apply and extend previous understandings of addition and
subtraction to add and subtract rational numbers; represent
additionandsubtraction ona horizontal orvertical number
linediagram. MCC7.NS.1a Showthatanumberanditsopposite
haveasumof0(areadditiveinverses).Describe
situationsinwhichoppositequantitiescombinetomake 0. For example,
your bank account balance
is-$25.00.Youdeposit$25.00intoyouraccount.Thenetbalanceis $0.00.
MCC7.NS.1b Understand p + q as the number located
adistancefromp,inthepositiveornegativedirection depending on
whether q is positive or negative.Interpret
sumsofrationalnumbersbydescribingrealworld contexts. MCC7.NS.1c
Understandsubtractionofrational numbers as adding the additive
inverse, p q =p +( q). Show that the distance between two rational
numbers on the numberlineistheabsolutevalueoftheirdifference,and
apply this principle in real-world contexts. MCC7.NS.1d Apply
properties of operations as strategies to add and subtract rational
numbers. MCC7.NS.2Applyandextendpreviousunderstandingsof
multiplicationanddivisionandoffractionstomultiplyand dividerational
numbers. MCC7.NS.2a Understand that multiplication is extended
fromfractionstorationalnumbersbyrequiringthatoperations continueto
satisfy theproperties of operations, particularly the
distributiveproperty, leading to products such as
Usepropertiesofoperationstogenerateequivalent expressions.
MCC7.EE.1 Apply properties of operations as strategies to
add,subtract,factor,andexpandlinearexpressionswith rational
coefficients. MCC7.EE.2Understandthatrewritinganexpressionin
differentformsinaproblemcontextcanclarifythe
problemandhowthequantitiesinitarerelated.For example a + 0.05a =
1.05a means that adding a 5% tax to a total is the same as
multiplying the total by 1.05.. Solve real-life andmathematical
problemsusing numerical and algebraic expressions and equations.
MCC7.EE.3Solvemultistepreal-lifeandmathematical
problemsposedwithpositiveandnegativerational
numbersinanyform(wholenumbers,fractions,and
decimals)byapplyingpropertiesofoperationsas
strategiestocalculatewithnumbers,convertingbetween forms as
appropriate,andassessingthereasonablenessofanswersusingmental
computation and estimation strategies. For example: If a woman
making $25 an hour gets a 10% raise,
shewillmakeanadditional1/10ofhersalaryan hour, or $2.50, for a new
salary of $27.50. Ifyouwanttoplaceatowelbar93/4incheslong
inthecenterofadoorthatis271/2incheswide, you will need to place the
bar about 9 inches from each edge; this estimate can be used as a
check on the exact computation. MCC7.EE.4Use
variablestorepresentquantitiesinareal-
worldormathematicalproblem,andconstructsimpleequationsandinequalitiestosolve
problemsbyreasoning about thequantities.
Analyzeproportionalrelationshipsandusethemtosolve real-world and
mathematical problems. MCC7.RP.1 Computeunit rates associated with
ratios of fractions, including ratios of lengths, areas and other
quantities measured in like or different units.
Forexample,ifaperson
walks1/2mileineach1/4hour,computetheunitrateasthe
complexfraction(1/2)/(1/4)milesperhour,equivalently2 miles per
hour. MCC7.RP.2Recognize andrepresentproportional relationships
between quantities. MCC7.RP.2aDecide whethertwoquantitiesare
inaproportional relationship, e.g., by testing for equivalent
ratios inatable orgraphingonacoordinate plane andobserving whether
thegraph is a straight linethrough theorigin. MCC7.RP.2bIdentifythe
constantofproportionality(unit
rate)intables,graphs,equations,diagrams,andverbal descriptions of
proportional relationships. MCC7.RP.2c Represent proportional
relationships by equations. MCC7.RP.2d.Explainwhatapoint(x,y)onthe
graphofa proportional relationship means in terms of thesituation,
with special attention to thepoints (0, 0) and (1,r) wherer is
theunit rate. MCC7.RP.3Useproportionalrelationshipstosolve
multistepratioandpercentproblems.Examples:simple
interest,tax,markupsandmarkdowns,gratuitiesand commissions, and
fees. Draw,construct,anddescribegeometricalfiguresand describe the
relationships between them. MCC7.G.1 Solveproblems involving
scaledrawings of geometric figures, including computing actual
lengths and areasGeorgia Department of Education Richard Woods,
StateSchool Superintendent J uly 2015All Rights Reserved
(-1)(1)=1andtherulesformultiplyingsigned
numbers.Interpretproductsofrationalnumbersby describing real-world
contextsMCC7.NS.2bUnderstandthatintegerscanbedivided, provided that
the divisor is not zero, and every quotient of integers (with
non-zero divisor) is a rational number. If p and q are integers
then (p/q) =( p)/q =p/(q). Interpret
quotientsofrationalnumbersbydescribingreal-world contexts.
MCC7.NS.2cApply properties of operations as strategies to multiply
and dividerational numbers. MCC7.NS.2d Convert a rational number to
a decimal using longdivision;knowthatthe decimalform ofarational
number terminates in 0s or eventually repeats. MCC7.NS.3Solve
real-worldandmathematicalproblems involving thefour operations with
rational numbers. MCC7.EE.4a Solveword problems leading to
equations of theformpx +q =r andp(x +q) =r, wherep, q, and r
arespecificrationalnumbers.Solve equationsofthese forms
fluently.Compare analgebraicsolutiontoanarithmetic
solution,identifyingthe sequence ofthe operationsusedin each
approach. Forexample,theperimeterofarectangleis 54 cm. Its length
is 6 cm. What is its width? MCC7.EE.4bSolve word problems leading
to inequalities of theformpx+q>r or px+q
