Expressions & Equations EE ★ Focus
8.EE.A.1 Properties of integer exponents.
Core Exponent rulesExtended Exponent rules — extendedChallenge Exponent rules — challenge
8.EE.A.2 Square-root and cube-root symbols; sqrt(2) irrational.
Core Square and cube rootsExtended Roots — extendedChallenge Roots — challenge
8.EE.A.3 Scientific notation for large/small quantities.
Core Scientific notationExtended Powers of ten — extendedChallenge Powers of ten — challenge
8.EE.A.4 Operations with scientific notation.
Core Operations in scientific notationExtended Scientific notation operations — extendedChallenge Scientific notation operations — challenge
8.EE.B.5 Graph proportional relationships; unit rate as slope.
Core Proportional relationshipsExtended Comparing proportional relationshipsChallenge Comparing rates — challenge
8.EE.B.6 Similar triangles to explain slope; derive y=mx and y=mx+b.
Core SlopeExtended Equations of linesChallenge Slope — challenge
8.EE.C.7 Solve linear equations in one variable (incl. no/infinite solutions).
Core Linear equationsExtended Equations — both sidesChallenge Linear equations — challenge
8.EE.C.8 Solve systems of two linear equations.
Core Systems of equationsExtended Solving systemsChallenge Systems — challenge
Functions F ★ Focus
8.F.A.1 Function as a rule: one output per input.
Core FunctionsExtended Functions — extendedChallenge Functions — challenge
8.F.A.2 Compare functions across representations.
Core Comparing functionsExtended Comparing functions — extendedChallenge Comparing functions — challenge
8.F.A.3 y=mx+b as linear; examples of nonlinear.
Core Linear or non-linear?Extended Linear or non-linear — extendedChallenge Linear or non-linear — challenge
8.F.B.4 Construct a function to model a linear relationship.
Core Linear modelsExtended Linear models — extendedChallenge Linear models — challenge
8.F.B.5 Describe a graph's relationship qualitatively.
Core Qualitative graphsExtended Qualitative graphs — extendedChallenge Qualitative graphs — challenge
Geometry G
8.G.A.1 Properties of rotations, reflections, translations.
Core Rigid motionsExtended Rigid motions — extendedChallenge Rigid motions — challenge
8.G.A.2 Congruence via transformations.
Core CongruenceExtended Congruence — extendedChallenge Congruence — challenge
8.G.A.3 Effect of transformations using coordinates.
Core TransformationsExtended Transformations — extendedChallenge Transformations — challenge
8.G.A.4 Similarity via transformations incl. dilations.
Core Dilations and similarityExtended Similarity — extendedChallenge Similarity — challenge
8.G.A.5 Angle sums, parallel lines, AA similarity (informal arguments).
Core Angle factsExtended Angle equationsChallenge Angle facts — challenge
8.G.B.6 Prove the Pythagorean Theorem and its converse.
Core Pythagorean theorem — converseExtended Pythagorean proofsChallenge Converse — challenge
8.G.B.7 Apply the Pythagorean Theorem to find lengths.
Core Pythagorean theoremExtended Pythagorean theorem — extendedChallenge Pythagorean theorem — challenge
8.G.B.8 Distance between two points via the Pythagorean Theorem.
Core Distance on the gridExtended Distance — extendedChallenge Distance — challenge
8.G.C.9 Volumes of cones, cylinders, spheres.
Core Volume of cylinders, cones & spheresExtended Volume — extendedChallenge Volume — challenge
The Number System NS
8.NS.A.1 Irrational numbers exist; convert repeating decimals to fractions.
Core Rational & irrational numbersExtended Repeating decimalsChallenge Rational & irrational — challenge
8.NS.A.2 Rational approximations of irrationals; locate on number line.
Core Irrational numbersExtended Approximating irrationalsChallenge Approximating irrationals — challenge
Statistics & Probability SP
8.SP.A.1 Scatter plots; patterns of association.
Core Scatter plotsExtended Scatter plots — extendedChallenge Scatter plots — challenge
8.SP.A.2 Fit a straight line to bivariate data.
Core Lines of fitExtended Lines of fit — extendedChallenge Lines of fit — challenge
8.SP.A.3 Interpret slope and intercept of a linear model.
Core Linear models in dataExtended Linear models in data — extendedChallenge Linear models in data — challenge
8.SP.A.4 Bivariate categorical data; two-way tables.
Core Two-way tablesExtended Relative frequenciesChallenge Two-way tables — challenge