Download Expressions and Equations Standards Progression

Expressions
Coherence
5.OA.1
Evaluatenumerical
expressions
5.OA.2
Write andinterpret
numerical expressions
6.EE.1
7.EE.3
Evaluate numerical expressions
withrational numbers(whole
numbers,fractions,decimals,
integers andanycombination).
Checkforreasonablenessof
answers.
8.EE.1
Applythepropertiesof
operationstonumerical
expressions withinteger
exponents.
8.EE.3
Rewrite verylarge and
very smallnumbers
usingscientific
notation.
Usingthelawsof
exponentstocompare
written expressions in
scientificnotation.
8.EE.4
Evaluate andinterpret
expressions inscientific
notation.
6.EE.4
Interpret equivalent
algebraic
expressions
Write andevaluate
numerical expressions
withwhole number
exponents
6.EE.5
Usesubstitution
todetermine ifa
numberistrue
foragiven
solutionset.
8.EE.2
Evaluate
square/cube
rootsof
common
squares/cubes.
HS
Number
Standards
6.EE.2
a. Writealgebraic expressions.
b. Identifypartsofanexpression;view
eachpartasasingleentity
c. Evaluatenumerical andalgebraic
expressions (OrderofOperations)
A-SSE.1a,b
Interpret expressions in
context:
a. Interpret partsofan
expression
b. Interpret partsby
seeingoneormoreas
asingleentity
A-SSE.2
Usethestructure of
anexpression to
identifywaysto
rewrite it
7.EE.2
Rewrite equivalent
algebraic expressions
basedoncontextto
reveal attributesof
theexpression.
A-SSE.3a
Writeanexpression intoan
equivalentformtoreveal
properties ofthequantity:
a.Factoraquadratic
expression torevealzeros.
6.EE.3
Writeequivalent
algebraic
expressions using
theproperties of
operations
7.EE.1
Add,subtract,factor
andexpandlinear
expressions usingthe
propertiesof
operations.
A-APR.1
Add,subtract and
multiply
polynomials
EquationsCoherence
6.EE.5
Understand
solutions to
equalities and
inequalities by
substitution
7.EE.4
6.EE.8
Writeinequalities to
represent
constraints and have
aninfinite number of
solutions.
6.EE.6
Use variablestorepresent
numbers and write
expressions whensolving
problems; variables
represent anunknown.
Use variablesto
represent quantities
inproblems and
construct equations
and inequalities to
solve.
a. Fluentlysolve
two-step,
compare
arithmetic and
algebraic
approaches.
b. Solvetwo-step
inequalities; graph
solutions and
interpretin
context.
Solvereal-worldproblems
bywritingand solving
equations. (One step: add
ormultiply)
6.EE.9
Use variabletorepresent
two quantities that
change inrelationtoeach
other; dependent and
independent variables.
Recognize and represent
proportional relationships
a. Determine iftwo
quantities areina
proportional
relationship
b. Identify theconstant of
proportionality in
variousrepresentations
c. Represent proportional
relationships by
equations
d. Explain (x,y) incontext
withspecial attention
to(0,0) and (1,r)
Explain each stepinthe
solvingprocess.
8.EE.7
Solvelinearequations in
one variable:
a. Giveexamples of
linear equations with
one solution,
infinitelymany
solutions, and no
solutions.
b. Solvelinear
equations with
rationalcoefficients
using distributive
propertyand
collecting liketerms
8.EE.5
Graph proportional
relationships interpreting
theunitrateasslope.
8.EE.6*
7.RP.2
6.EE.7
A-REI.1
Use similartrianglesto
explain slope, derive
y =mx and y =mx+ b
8.EE.8
Analyzeand solvelinear
systems:
a. Understand solutions
arewherethegraphs
intersect.
b. Solvealgebraically
and estimate
solutions by
graphing.
c. Solvereal-world
problems.
A-REI.3
Solvelinear
equations and
inequalities inone
variable
A-CED.4
Solveforavariableina
formula
A-CED.1
8.F.2
Comparethe properties
offunctionsindifferent
representations
Createlinear equations
and inequalities inone
variable
8.F.2
Construct alinear model
and determine therateof
change andinitialvaluein
context
8.F.1
A-CED.2
Createequations intwo
variables
A-REI.5
Understand using
elimination when solvinga
system.
A-REI.6
Solvesystemsalgebraically
and approximately.
A-REI.12
Solvesystemsof
inequalities.
Define afunction as
input andaunique
output; graphs
represent solutions
MSFunctionsCoherenceMap
8.F.1
Defineafunction as
inputandaunique
output;graphs
representsolutions
6.EE.9
Definedependentand
independentvariable
6.RP.2
Defineaunitrate
6.RP.3b
Solveunitrate
problems
7.RP.1
8.EE.5
Graphproportional
relationships
interpreting theunit
rateasslope.
Computeunitrates
withratiosoffractions
8.F.2
Comparethe
properties of
functionsindifferent
representations
7.RP.2
Recognizeand
representproportional
relationships
a. Determineiftwo
quantitiesareina
proportional
relationship
b. Identifythe
constantof
proportionality in
various
representations
c. Represent
proportional
relationships by
equations
d. Explain(x,y)in
contextwith
specialattentionto
(0,0)and(1,r)
8.EE.6
Usesimilar triangles to
explain slope,derive
y =mx andy = mx+ b
8.F.3
Interprety =mx +b as
definingalinear
equationandothersa
nonlinear.
8.F.4
Construct alinear
modelanddetermine
therateofchange
andinitial valuein
context
8.F.5
Describeafunction
qualitativelyand
sketchagraphfrom
verbaldescription