8th Grade Math Here is the more detailed list for our 8th Grade Math. I’ve added a printable version to make life easier. Number theory FactorsDivisibility rulesPrime or compositePrime factorizationGreatest common factorLeast common multipleGCF and LCM: word problemsSort factors of numerical expressions Classify numbers Integers Integers on number linesGraph integers on horizontal and vertical number lines Absolute value and opposite integersCompare and order integersInteger inequalities with absolute values Operations with integers Integer addition and subtraction rulesAdd and subtract integers using countersAdd and subtract integersAdd and subtract three or more integersAdd and subtract integers: word problemsInteger multiplication and division rulesMultiply and divide integersEvaluate numerical expressions involving integers Rational numbers Write fractions in lowest termsLeast common denominatorRound decimals and mixed numbersConvert between decimals and fractions or mixed numbers Identify rational and irrational numbers Absolute value of rational numbers Compare rational numbersPut rational numbers in order Operations with rational numbers Reciprocals and multiplicative inversesAdd and subtract rational numbersAdd and subtract rational numbers: word problemsApply addition and subtraction rulesMultiply and divide rational numbersMultiply and divide rational numbers: word problemsApply multiplication and division rulesApply addition, subtraction, multiplication, and division rules Evaluate numerical expressions involving rational numbers Exponents and roots Understanding exponentsEvaluate exponentsSolve equations with variable exponentsExponents with negative basesExponents with decimal and fractional bases Understanding negative exponentsEvaluate negative exponentsMultiplication with exponentsDivision with exponentsMultiplication and division with exponentsPower ruleEvaluate expressions using properties of exponents Identify equivalent expressions involving exponents I Identify equivalent expressions involving exponents II Square roots of perfect squaresEstimate positive square rootsPositive and negative square rootsEstimate positive and negative square roots Relationship between squares and square roots Solve equations using square rootsCube roots of positive perfect cubesCube roots of positive and negative perfect cubes Solve equations using cube rootsEstimate cube roots Scientific notation Convert between standard and scientific notation Compare numbers written in scientific notationAdd and subtract numbers written in scientific notation Multiply numbers written in scientific notationDivide numbers written in scientific notation Ratios, rates, and proportions Understanding ratiosIdentify equivalent ratiosWrite an equivalent ratio Equivalent ratios: word problems Unit rates Word problems involving ratiosSolve proportions: word problemsDo the ratios form a proportion?Do the ratios form a proportion: word problems Solve proportions Estimate population size using proportions Scale drawings: word problemsScale drawings: scale factor word problems Proportional relationships Find the constant of proportionality from a tableWrite equations for proportional relationships from tables Identify proportional relationships by graphingFind the constant of proportionality from a graphWrite equations for proportional relationships from graphs Identify proportional relationships from graphs and equations Identify proportional relationships from tablesGraph proportional relationshipsInterpret graphs of proportional relationshipsWrite and solve equations for proportional relationships Percents Convert between percents, fractions, and decimals Compare percents to fractions and decimalsFind what percent one number is of anotherFind what percent one number is of another: word problems Estimate percents of numbers Percents of numbers and money amounts Percents of numbers: word problems Compare percents of numbersSolve percent equations Percent of changePercent of change: word problemsPercent of change: find the original amount word problems Consumer math Price listsUnit pricesUnit prices with unit conversionsUnit prices: find the total pricePercent of a number: tax, discount, and more Find the percent: tax, discount, and more Sale prices: find the original priceMulti-step problems with percentsEstimate tipsSimple interestCompound interest Units of measurement Convert rates and measurements: customary units Convert rates and measurements: metric units Mixed customary unitsConvert between customary and metric systems Precision Convert between Celsius and Fahrenheit Problem solving Multi-step word problems Guess-and-check word problemsUse Venn diagrams to solve problems Elapsed time word problems Coordinate plane Coordinate plane reviewQuadrants and axesFollow directions on a coordinate plane Find the distance between two points Two-dimensional figures Identify and classify polygons Classify trianglesIdentify trapezoidsClassify quadrilaterals Graph triangles and quadrilaterals Find missing angles in triangles Find missing angles in triangles using ratios Triangle Angle-Sum TheoremFind missing angles in quadrilaterals Exterior Angle Theorem Interior angles of polygonsIdentify complementary, supplementary, vertical, adjacent, and congruent angles Find measures of complementary, supplementary, vertical, and adjacent angles Identify alternate interior and alternate exterior anglesTransversals of parallel lines: name angle pairsTransversals of parallel lines: find angle measuresFind lengths and measures of bisected line segments and anglesParts of a circle Transformations and congruence Line symmetryRotational symmetryRotational symmetry: amount of rotationIdentify reflections, rotations, and translationsDescribe a sequence of transformationsTranslations: graph the imageTranslations: find the coordinatesTranslations: write the ruleReflections over the x- and y-axes: graph the image Reflections over the x- and y-axes: find the coordinates Reflections: graph the imageReflections: find the coordinatesRotations: graph the imageRotations: find the coordinatesCompositions of congruence transformations: graph the image Congruence statements and corresponding partsSide lengths and angle measures of congruent figures Congruent triangles: SSS, SAS, and ASA Transformations and similarity Similar and congruent figures Dilations: graph the imageDilations: find the coordinates Dilations: scale factor and classification Identify similar triangles Side lengths and angle measures of similar triangles Side lengths and angle measures of similar figures Find missing side lengths in proportional triangles Pythagorean theorem Pythagorean theorem: find the length of the hypotenuse Pythagorean theorem: find the missing leg lengthPythagorean theorem: find the missing leg or hypotenuse length Pythagorean theorem: find the perimeter Pythagorean theorem: word problemsConverse of the Pythagorean theorem: is it a right triangle? Three-dimensional figures Parts of three-dimensional figures Nets of three-dimensional figures Front, side, and top viewBase plans Similar solids Geometric measurement PerimeterAreaArea and perimeter: word problemsArea between two shapesArea and circumference of circlesCircles: word problemsArea and perimeter of semicircles and quarter circles Volume of cubes, prisms, and pyramidsSurface area of cubes, prisms, and pyramids Volume of cylindersVolume of conesSurface area of cylindersSurface area of conesVolume of spheresSurface area of spheresVolume and surface area of similar solidsPerimeter and area: changes in scale Number sequences Identify arithmetic and geometric sequences Arithmetic sequencesGeometric sequencesNumber sequences: mixed review Number sequences: word problemsEvaluate variable expressions for number sequences Write variable expressions for arithmetic sequences Expressions and properties Write variable expressions: one operationWrite variable expressions: two or three operations Write variable expressions from diagramsWrite variable expressions: word problemsEvaluate one-variable expressionsEvaluate multi-variable expressionsEvaluate absolute value expressionsEvaluate radical expressionsEvaluate rational expressionsIdentify terms and coefficientsSort factors of variable expressionsProperties of addition and multiplicationMultiply using the distributive propertyWrite equivalent expressions using propertiesAdd and subtract like termsAdd and subtract linear expressionsFactors of linear expressionsIdentify equivalent linear expressions IIdentify equivalent linear expressions: word problems One-variable equations Which x satisfies an equation?Write an equation from wordsModel and solve equations using algebra tilesWrite and solve equations that represent diagramsProperties of equalityIdentify equivalent equationsSolve one-step equationsSolve two-step equationsSolve multi-step equationsSolve equations involving like termsSolve equations with variables on both sidesSolve equations: mixed reviewSolve equations: complete the solutionSolve equations: word problemsFind the number of solutionsCreate equations with no solutions or infinitely many solutions One-variable inequalities Solutions to inequalitiesGraph inequalities on number lines Write inequalities from number lines Solve one-step inequalities Graph solutions to one-step inequalities Solve two-step inequalitiesGraph solutions to two-step inequalities Solve multi-step inequalities Graph solutions to multi-step inequalities Linear equations Find the slope of a graphFind the slope from two pointsFind a missing coordinate using slopeSlope-intercept form: find the slope and y-interceptGraph a line using slopeGraph a line from an equation in slope-intercept formGraph a line from an equation in point-slope formWrite a linear equation from a slope and y-interceptWrite a linear equation from a graphWrite a linear equation from a slope and a pointWrite a linear equation from two pointsConvert a linear equation in standard form to slope-intercept form Graph a line from an equation in standard formSlopes of parallel and perpendicular lines Functions Identify functionsIdentify functions: graphsDoes (x, y) satisfy the linear function?Identify independent and dependent variablesRate of change: tablesRate of change: graphsConstant rate of changeEvaluate a linear functionComplete a table for a linear functionComplete a table and graph a linear functionInterpret the graph of a linear function: word problemsWrite a linear function from a tableCompare linear functions: graphs and equationsCompare linear functions: tables, graphs, and equations Write linear functions: word problemsInterpret linear functionsIdentify linear and nonlinear functions: graphs and equations Identify linear and nonlinear functions: tablesDoes (x, y) satisfy the nonlinear function?Evaluate a nonlinear functionFind values using function graphsComplete a table for a function graphDomain and range of functions Systems of linear equations Is (x, y) a solution to the system of equations?Solve a system of equations by graphingSolve a system of equations by graphing: word problemsFind the number of solutions to a system of equations by graphing Find the number of solutions to a system of equationsClassify a system of equations by graphingClassify a system of equationsSolve a system of equations using substitutionSolve a system of equations using substitution: word problems Solve a system of equations using eliminationSolve a system of equations using elimination: word problems Solve a system of equations using any methodSolve a system of equations using any method: word problems Monomials and polynomials Identify monomialsModel polynomials with algebra tilesAdd and subtract polynomials using algebra tiles Add and subtract polynomialsAdd polynomials to find perimeterMultiply monomialsDivide monomialsMultiply and divide monomialsPowers of monomialsSquare and cube roots of monomialsMultiply polynomials using algebra tilesMultiply polynomialsMultiply polynomials to find area Data and graphs Interpret tablesInterpret bar graphsCreate bar graphsInterpret line graphsCreate line graphsInterpret line plotsCreate line plotsCreate and interpret line plots with fractions Interpret stem-and-leaf plotsCreate stem-and-leaf plotsInterpret histogramsCreate histogramsCreate frequency charts Box plotsCreate scatter plotsIdentify trends with scatter plots Make predictions with scatter plots Interpret circle graphsCircle graphs and central angles Statistics Calculate mean, median, mode, and rangeInterpret charts and graphs to find mean, median, mode, and range Mean, median, mode, and range: find the missing number Changes in mean, median, mode, and rangeQuartilesIdentify an outlierIdentify an outlier and describe the effect of removing itOutliers in scatter plotsScatter plots: line of best fitIdentify representative, random, and biased samples Probability Probability of simple eventsProbability of opposite, mutually exclusive, and overlapping events Experimental probabilityFind probabilities using two-way frequency tablesMake predictionsCompound events: find the number of outcomesCompound events: find the number of sumsIdentify independent and dependent eventsProbability of independent and dependent eventsFactorialsPermutationsCounting principleCombination and permutation notation Share this:TwitterFacebookLike this:Like Loading...
