PA Core Standard Vocabulary Eligible Content Resources M08 .
8th Grade MathPA Core StandardVocabularyEligible ContentResourcesM08.A-N The Number SystemM08.A-N.1.1 Apply concepts ofrational and irrational numbers.Rational NumberIrrational NumberCC.2.1.8.E.1 Distinguish betweenrational and irrational numbersusing their properties.M08.A-N.1.1.1 Determine whether a number is8th Grade PSSA Course diskrational or irrational. For rational numbers, show Unit 1that the decimal expansion terminates or1-1 Number Setsrepeats (limit repeating decimals tothousandths).Various worksheets inbinder under Numbers andOperationsCC.2.1.8.E.4 Estimate irrationalnumbers by comparing them torational numbers.M08.A-N.1.1 Apply concepts ofrational and irrational numbers.TerminatingDecimalCC.2.1.8.E.1 Distinguish betweenrational and irrational numbersusing their properties.RepeatingDecimalM08.A-N.1.1.2 Convert a terminating orrepeating decimal to a rational number (limitrepeating decimals to thousandths).Various worksheets inbinder under Numbers andOperationsCC.2.1.8.E.4 Estimate irrationalnumbers by comparing them torational numbers.M08.A-N.1.1 Apply concepts ofrational and irrational numbers.CC.2.1.8.E.1 Distinguish betweenrational and irrational numbersusing their properties.CC.2.1.8.E.4 Estimate irrationalnumbers by comparing them torational numbers.8th Grade PSSA Course diskUnit 11-4 Convert Decimals toFractionsM08.A-N.1.1.3 Estimate the value of irrationalnumbers without a calculator (limit wholenumber radicand to less than 144). Example: 5is between 2 and 3 but closer to 2.8th Grade PSSA Course diskUnit 11-2 Estimating the Value ofIrrationalsVarious worksheets inbinder under Numbers andOperations
M08.A-N.1.1 Apply concepts ofrational and irrational numbers.M08.A-N.1.1.4 Use rational approximations ofirrational numbers to compare and orderirrational numbers.CC.2.1.8.E.1 Distinguish betweenrational and irrational numbersusing their properties.Various worksheets inbinder under Numbers andOperationsCC.2.1.8.E.4 Estimate irrationalnumbers by comparing them torational numbers.M08.A-N.1.1 Apply concepts ofrational and irrational numbers.CC.2.1.8.E.1 Distinguish betweenrational and irrational numbersusing their properties.CC.2.1.8.E.4 Estimate irrationalnumbers by comparing them torational numbers.8th Grade PSSA Course diskUnit 11-5 Ordering Real NumbersM08.A-N.1.1.5 Locate/identify rational andirrational numbers at their approximatelocations on a number line.8th Grade PSSA Course diskUnit 11-3 Locating Real Numberson a Number LineVarious worksheets inbinder under Numbers andOperations
M08.B-F Algebraic ConceptsM08.B-E.1.1 Represent and useexpressions and equations tosolve problems involving radicalsand integer exponents.Square RootCube RootCC.2.2.8.B.1 Apply concepts ofradicals and integer exponents togenerate equivalent expressions.M08.B-E.1.1 Represent and useexpressions and equations tosolve problems involving radicalsand integer exponents.CC.2.2.8.B.1 Apply concepts ofradicals and integer exponents togenerate equivalent expressions.M08.B-E.1.1 Represent and useexpressions and equations tosolve problems involving radicalsand integer exponents.CC.2.2.8.B.1 Apply concepts ofradicals and integer exponents togenerate equivalent expressions.Scientific NotationM08.B-E.1.1.1 Apply one or more properties ofinteger exponents to generate equivalentnumerical expressions without a calculator(with final answers expressed in exponentialform with positive exponents). Properties willbe provided. Example: 3 12 3 15 3 3 1/(3 3 )8th Grade PSSA Course diskUnit 22-2 Multiplication Rule forExponents2-3 Division Rule forExponents2-4 Power Rule andExponent DistributionM08.B-E.1.1.2 Use square root and cube rootsymbols to represent solutions to equations ofthe form x 2 p and x 3 p, where p is apositive rational number. Evaluate square rootsof perfect squares (up to and including 12 2 )and cube roots of perfect cubes (up to andincluding 5 3 ) without a calculator. Example: Ifx 2 25 then x 25.8th Grade PSSA Course diskUnit 66-1 Perfect Square and CubeRoots6-2 Estimating Cube RootsM08.B-E.1.1.3 Estimate very large or very smallquantities by using numbers expressed in theform of a single digit times an integer power of10 and express how many times larger orsmaller one number is than another. Example:Estimate the population of the United States as3 10 8 and the population of the world as 7 10 9 and determine that the world population ismore than 20 times larger than the UnitedStates’ population.8th Grade PSSA Course diskUnit 33-1 and 3-2 Conversion ofScientific and Standard3-3 Comparing Numbers inScientific NotationVarious worksheets inbinder under Numbers andOperationsVarious worksheets inbinder under Numbers andOperations
M08.B-E.1.1 Represent and useexpressions and equations tosolve problems involving radicalsand integer exponents.CC.2.2.8.B.1 Apply concepts ofradicals and integer exponents togenerate equivalent expressions.M08.B-E.2.1 Analyze anddescribe linear relationshipsbetween two variables, usingslope.CC.2.2.8.B.1 Apply concepts ofradicals and integer exponents togenerate equivalent expressions.M08.B-E.2.1 Analyze anddescribe linear relationshipsbetween two variables, usingslope.CC.2.2.8.B.1 Apply concepts ofradicals and integer exponents togenerate equivalent expressions.SlopeY interceptM08.B-E.1.1.4 Perform operations withnumbers expressed in scientific notation,including problems where both decimal andscientific notation are used. Express answersin scientific notation and choose units ofappropriate size for measurements of verylarge or very small quantities (e.g., usemillimeters per year for seafloor spreading).Interpret scientific notation that has beengenerated by technology (e.g., interpret4.7EE9 displayed on a calculator as 4.7 10 9).8th Grade PSSA Course diskUnit 33-4 Operations withScientific NotationM08.B-E.2.1.1 Graph proportional relationships,interpreting the unit rate as the slope of thegraph. Compare two different proportionalrelationships represented in different ways.Example: Compare a distance-time graph to adistance-time equation to determine which oftwo moving objects has greater speed.8th Grade PSSA Course diskUnit 1010-2 Find Slope from aGraphSlope Unit in binder underAlgebraic ConceptsM08.B-E.2.1.2 Use similar right triangles to showand explain why the slope m is the samebetween any two distinct points on a nonvertical line in the coordinate plane.8th Grade PSSA Course diskUnit 1010-1 Find Slope Given TwoPointsSlope Unit in binder underAlgebraic ConceptsVarious worksheets inbinder under Numbers andOperations
M08.B-E.2.1 Analyze anddescribe linear relationshipsbetween two variables, usingslope.M08.B-E.2.1.3 Derive the equation y mx for aline through the origin and the equation y mx b for a line intercepting the vertical axis at b.8th Grade PSSA Course diskUnit 1010-4 Graphing a Line fromSlope-Intercept FormSlope Unit in binder underAlgebraic ConceptsM08.B-E.3.1.1 Write and identify linearequations in one variable with one solution,infinitely many solutions, or no solutions. Showwhich of these possibilities is the case bysuccessively transforming the given equationinto simpler forms until an equivalent equationof the form x a, a a, or a b results (where aand b are different numbers).8th Grade PSSA Course diskUnit 1010-5 Writing an Equation inSlope-Intercept FormM08.B-E.3.1.2 Solve linear equations that haverational number coefficients, includingequations whose solutions require expandingexpressions using the distributive property andcollecting like terms.8th Grade PSSA Course diskUnit 55-3 Solving Multi-StepEquations5-4 Simplifying and SolvingCC.2.2.8.B.1 Apply concepts ofradicals and integer exponents togenerate equivalent expressions.M08.B-E.3.1 Write, solve, graph,and interpret linear equations inone or two variables, usingvarious methods.CC.2.2.8.B.1 Apply concepts ofradicals and integer exponents togenerate equivalent expressions.DistributivePropertySlope Unit in binder underAlgebraic ConceptsCC.2.2.8.B.3 Analyze and solvelinear equations and pairs ofsimultaneous linear equations.M08.B-E.3.1 Write, solve, graph,and interpret linear equations inone or two variables, usingvarious methods.CC.2.2.8.B.1 Apply concepts ofradicals and integer exponents togenerate equivalent expressions.CC.2.2.8.B.3 Analyze and solvelinear equations and pairs ofsimultaneous linear equations.Solving Equations Unit inbinder under AlgebraicConcepts
M08.B-E.3.1 Write, solve, graph,and interpret linear equations inone or two variables, usingvarious methods.M08.B-E.3.1.3 Interpret solutions to a system oftwo linear equations in two variables as pointsof intersection of their graphs because points ofintersection satisfy both equationssimultaneously.CC.2.2.8.B.1 Apply concepts ofradicals and integer exponents togenerate equivalent expressions.8th Grade PSSA Course diskUnit 1313-1 Solving Systems byGraphingSlope Unit in binder underAlgebraic ConceptsCC.2.2.8.B.3 Analyze and solvelinear equations and pairs ofsimultaneous linear equations.M08.B-E.3.1 Write, solve, graph,and interpret linear equations inone or two variables, usingvarious methods.CC.2.2.8.B.1 Apply concepts ofradicals and integer exponents togenerate equivalent expressions.CC.2.2.8.B.3 Analyze and solvelinear equations and pairs ofsimultaneous linear equations.M08.B-E.3.1.4 Solve systems of two linearequations in two variables algebraically andestimate solutions by graphing the equations.Solve simple cases by inspection. Example: 3x 2y 5 and 3x 2y 6 have no solution because3x 2y cannot simultaneously be 5 and 6.8th Grade PSSA Course diskUnit 1313-2 Solving Systems bySubstitution13-2 Solving Systems byElimination
M08.B-E.3.1 Write, solve, graph,and interpret linear equations inone or two variables, usingvarious methods.M08.B-E.3.1.5 Solve real-world andmathematical problems leading to two linearequations in two variables. Example: Givencoordinates for two pairs of points, determinewhether the line through the first pair of pointsintersects the line through the second pairCC.2.2.8.B.1 Apply concepts ofradicals and integer exponents togenerate equivalent expressions.8th Grade PSSA Course diskUnit 1313-4 Real World SystemsSlope Unit in binder underAlgebraic ConceptsCC.2.2.8.B.3 Analyze and solvelinear equations and pairs ofsimultaneous linear equations.M08.B-F.1.1 Define, evaluate,and compare functions displayedalgebraically, graphically, ornumerically in tables or by verbaldescriptions.FunctionM08.B-F.1.1.1 Determine whether a relation is afunction.CC.2.2.8.C.1 Define, evaluate, andcompare functions.M08.B-F.1.1 Define, evaluate,and compare functions displayedalgebraically, graphically, ornumerically in tables or by verbaldescriptions.CC.2.2.8.C.1 Define, evaluate, andcompare functions.M08.B-F.1.1.2 Compare properties of twofunctions, each represented in a different way(i.e., algebraically, graphically, numerically intables, or by verbal descriptions). Example:Given a linear function represented by a table ofvalues and a linear function represented by analgebraic expression, determine which functionhas the greater rate of change.8th Grade PSSA Course diskUnit 1111-1 FunctionsFunctions Unit in binderunder Algebraic Concepts8th Grade PSSA Course diskUnit 1111-2 Comparing LinearFunctions in DifferentFormsFunctions Unit in binderunder Algebraic Concepts
M08.B-F.1.1 Define, evaluate,and compare functions displayedalgebraically, graphically, ornumerically in tables or by verbaldescriptions.LinearNonlinearM08.B-F.1.1.3 Interpret the equation y mx bas defining a linear function whose graph is astraight line; give examples of functions that arenot linear.Functions Unit in binderunder Algebraic ConceptsCC.2.2.8.C.1 Define, evaluate, andcompare functions.M08.B-F.2.1 Represent orinterpret functional relationshipsbetween quantities using tables,graphs, and descriptions.CC.2.2.8.C.2 Use concepts offunctions to model relationshipsbetween quantities.M08.B-F.2.1 Represent orinterpret functional relationshipsbetween quantities using tables,graphs, and descriptions.CC.2.2.8.C.2 Use concepts offunctions to model relationshipsbetween quantities.8th Grade PSSA Course diskUnit 1111-4 Linear or NonlinearM08.B-F.2.1.1 Construct a function to model alinear relationship between two quantities.Determine the rate of change and initial value ofthe function from a description of a relationshipor from two (x, y) values, including reading thesefrom a table or from a graph. Interpret the rateof change and initial value of a linear function interms of the situation it models and in terms ofits graph or a table of values.8th Grade PSSA Course diskUnit 1111-3 Rate of Change inFunctionsM08.B-F.2.1.2 Describe qualitatively thefunctional relationship between two quantitiesby analyzing a graph (e.g., where the function isincreasing or decreasing, linear or nonlinear).Sketch or determine a graph that exhibits thequalitative features of a function that has beendescribed verbally.8th Grade PSSA Course diskUnit 1212-2 Properties of Functions(Increasing/Decreasing)12-3 Graphing a Real WorldSituationFunctions Unit in binderunder Algebraic Concepts
M08.C-G GeometryM08.C-G.1.1 Apply properties ofgeometric transformations toverify congruence or similarity.CC.2.3.8.A.2 Understand andapply congruence, similarity, andgeometric transformations usingvarious tools.M08.C-G.1.1 Apply properties ofgeometric transformations toverify congruence or 8.C-G.1.1.1 Identify and apply properties ofrotations, reflections, and translations. Example:Angle measures are preserved in rotations,reflections, and translations.8th Grade PSSA Course diskUnit 88-1 Rotations, Reflectionsand TranslationsM08.C-G.1.1.2 Given two congruent figures,describe a sequence of transformations thatexhibits the congruence between them.8th Grade PSSA Course diskUnit 88-2 IdentifyingTransformations to ProveCongruenceM08.C-G.1.1.3 Describe the effect of dilations,translations, rotations, and reflections on twodimensional figures using coordinates.8th Grade PSSA Course diskUnit 88-1 Rotations, Reflectionsand TranslationsM08.C-G.1.1.4 Given two similar twodimensional figures, describe a sequence oftransformations that exhibits the similaritybetween them.8th Grade PSSA Course diskUnit 88-3 Dilations and SimilarityCC.2.3.8.A.2 Understand andapply congruence, similarity, andgeometric transformations usingvarious tools.M08.C-G.1.1 Apply properties ofgeometric transformations toverify congruence or similarity.CC.2.3.8.A.2 Understand andapply congruence, similarity, andgeometric transformations usingvarious tools.M08.C-G.1.1 Apply properties ofgeometric transformations toverify congruence or similarity.CC.2.3.8.A.2 Understand andapply congruence, similarity, andgeometric transformations usingvarious tools.
M08.C-G.2.1 Solve problemsinvolving right triangles byapplying the Pythagoreantheorem.PythagoreanTheoremM08.C-G.2.1.1 Apply the converse of thePythagorean theorem to show a triangle is aright triangle.Right Triangle“Pythagorean Theorem”“The Pythagorean Theorem”CC.2.3.8.A.3 Understand andapply the Pythagorean Theoremto solve problems.M08.C-G.2.1 Solve problemsinvolving right triangles byapplying the Pythagoreantheorem.CC.2.3.8.A.3 Understand andapply the Pythagorean Theoremto solve problems.M08.C-G.2.1 Solve problemsinvolving right triangles byapplying the Pythagoreantheorem.CC.2.3.8.A.1 Apply the concepts ofvolume of cylinders, cones, andspheres to solve real‐world andmathematical problems.M08.C-G.2.1.2 Apply the Pythagorean theoremto determine unknown side lengths in righttriangles in real-world and mathematicalproblems in two and three dimensions. (Figuresprovided for problems in three dimensions willbe consistent with Eligible Content in grade 8and below.)Pythagorean Theorem Unitin binder under GeometryM08.C-G.2.1.3 Apply the Pythagorean theoremto find the distance between two points in acoordinate system.Pythagorean Theorem Unitin binder under Geometry“Apply the PythagoreanTheorem”“Find the Distance BetweenPoints”CC.2.3.8.A.3 Understand andapply the Pythagorean Theoremto solve problems.M08.C-G.3.1 Apply volumeformulas of cones, cylinders, andspheres.Pythagorean Theorem Unitin binder under GeometryConeCylinderSphereVolumeM08.C-G.3.1.1 Apply formulas for the volumes8th Grade PSSA Course diskof cones, cylinders, and spheres to solve realUnit 14world and mathematical problems. Formulas will 14-3 Volumes of Cylindersbe provided.And Shperes14-4 Volume of Cones14-5 Real World Area andVolume
M08.D-S Statistics and ProbabilityM08.D-S.1.1 Analyze andinterpret bivariate data displayedin multiple representations.Scatter PlotBivariateOutliersCC.2.4.8.B.1 Analyze and/orinterpret bivariate data displayedin multiple representations.Positive andNegativeCorrelationM08.D-S.1.1.1 Construct and interpret scatterplots for bivariate measurement data toinvestigate patterns of association between twoquantities. Describe patterns such as clustering,outliers, positive or negative correlation, linearassociation, and nonlinear association.8th Grade PSSA Course diskUnit 1515-1 Scatter Plots15-2 Patterns in PlotsLine of Best FitM08.D-S.1.1 Analyze andinterpret bivariate data displayedin multiple representations.M08.D-S.1.1.2 For scatter plots that suggest alinear association, identify a line of best fit byjudging the closeness of the data points to theline.8th Grade PSSA Course diskUnit 1515-3 Using a Line of Best FitCC.2.4.8.B.1 Analyze and/orinterpret bivariate data displayedin multiple representations.M08.D-S.1.1.3 Use the equation of a linearmodel to solve problems in the context ofbivariate measurement data, interpreting theslope and intercept. Example: In a linear modelfor a biology experiment, interpret a slope of 1.5cm/hr as meaning that an additional hour ofsunlight each day is associated with anadditional 1.5 cm in mature plant height.8th Grade PSSA Course diskUnit 1515-4 Equation of a Line ofBest Fit15-5 Two-way Tables
M08.D-S.1.2 Understand thatpatterns of association can beseen in bivariate categorical databy displaying frequencies andrelative frequencies in a two-waytable.CC.2.4.8.B.2 Understand thatpatterns of association can beseen in bivariate data utilizingfrequencies.M08.D-S.1.2.1 Construct and interpret a twoway table summarizing data on two categoricalvariables collected from the same subjects. Userelative frequencies calculated for rows orcolumns to describe possible associationsbetween the two variables. Example: Given dataon whether students have a curfew on schoolnights and whether they have assigned chores athome, is there evidence that those who have acurfew also tend to have chores?
numbers by comparing them to rational numbers. M08.A-N.1.1.4 Use rational approximations of irrational numbers to compare and order irrational numbers. 8th Grade PSSA Course disk Unit 1 1-5 Ordering Real Numbers Various worksheets in binder under Numbers and Operations M08.A-N.1.1 Apply concepts of rational and irrational numbers.
174. 200314 MD MURSLEEN KHAN Eligible 175. 200316 SHAILENDRA CHAUDHARY Eligible 176. 200326 MINAL Eligible 177. 200328 JATIN ANAND Eligible 178. 200329 SHIPRA KUMARI Eligible 179. 200332 VIVEK SHARMA Eligible 180. 200335 RAHUL Eligible 181. 200336 MD HABIBULLAH Eligible 182. 200337 MD ZIA Eligible 183. 200338 RAVI KUMAR SUMAN Eligible
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