Pre Calculus Pre Calculus is usually taken in 11th grade but you can switch up when subjects are taken. I’ll be adding the printable soon. Functions Domain and rangeIdentify functionsFind the slope of a linear functionGraph a linear functionWrite the equation of a linear functionLinear functions over unit intervalsEvaluate functionsFind values using function graphsComplete a table for a function graphAdd, subtract, multiply and divide functions Composition of functionsIdentify inverse functionsFind values of inverse functions from tables Find values of inverse functions from graphs Find inverse functions and relationsIdentify graphs of continuous functions Families of functions Translations of functions Reflections of functionsDilations of functions Transformations of functions Function transformation rules Describe function transformations Quadratic relations Characteristics of quadratic functionsFind the maximum or minimum value of a quadratic function Graph a quadratic functionMatch quadratic functions and graphsSolve a quadratic equation using square rootsSolve a quadratic equation by factoringSolve a quadratic equation by completing the squareSolve a quadratic equation using the quadratic formula Using the discriminant Precalculus Polynomials Divide polynomials using long division Write a polynomial from its rootsFind the roots of factored polynomials Rational root theorem Complex conjugate theoremConjugate root theoremsDescartes’ Rule of SignsFundamental Theorem of AlgebraMatch polynomials and graphsFactor sums and differences of cubesSolve equations with sums and differences of cubes Factor using a quadratic pattern Solve equations using a quadratic pattern Pascal’s trianglePascal’s triangle and the Binomial Theorem Binomial Theorem Rational functions Rational functions: asymptotes and excluded values Solve rational equationsCheck whether two rational functions are inverses Logarithms Convert between exponential and logarithmic form: rational bases Evaluate logarithmsChange of base formulaIdentify properties of logarithms Product property of logarithms Quotient property of logarithmsPower property of logarithms Properties of logarithms: mixed review Evaluate logarithms: mixed review Exponential and logarithmic functions Domain and range of exponential and logarithmic functions Evaluate exponential functionsMatch exponential functions and graphsSolve exponential equations by factoring Solve exponential equations using common logarithms Solve logarithmic equations I Identify linear and exponential functions Exponential functions over unit intervalsDescribe linear and exponential growth and decay Exponential growth and decay: word problems Compound interest: word problemsContinuously compounded interest: word problems Radical functions Domain and range of radical functions Solve radical equations Roots and rational exponents Roots of integersRoots of rational numbersFind roots using a calculatorEvaluate rational exponentsOperations with rational exponentsNth rootsSimplify radical expressions with variables Simplify expressions involving rational exponents Systems of equations Solve a system of equations by graphingSolve a system of equations by graphing: word problemsClassify a system of equationsSolve a system of equations using substitutionSolve a system of equations using substitution: word problemsSolve a system of equations using eliminationSolve a system of equations using elimination: word problemsSolve a system of equations in three variables using substitutionSolve a system of equations in three variables using eliminationDetermine the number of solutions to a system of equations in three variables Systems of inequalities Solve systems of inequalities by graphing Find the vertices of a solution setLinear programming Nonlinear inequalities Graph solutions to quadratic inequalities Solve quadratic inequalitiesGraph solutions to higher-degree inequalities Solve higher-degree inequalities Matrices Matrix vocabularyMatrix operation rulesAdd and subtract matricesMultiply a matrix by a scalarLinear combinations of matrices Multiply two matricesSimplify matrix expressionsSolve matrix equationsDeterminant of a matrixIs a matrix invertible?Inverse of a 2 x 2 matrixInverse of a 3 x 3 matrixIdentify inverse matricesSolve matrix equations using inverses Trigonometry Convert between radians and degrees Radians and arc lengthQuadrantsCoterminal and reference angles Find trigonometric ratios using right triangles Find trigonometric ratios using the unit circle Find trigonometric ratios using reference angles Inverses of trigonometric functions Solve trigonometric equations Trigonometric ratios: find a side length Trigonometric ratios: find an angle measure Solve a right triangleLaw of SinesLaw of CosinesSolve a triangleArea of a triangle: sine formulaArea of a triangle: Heron’s formula Trigonometric functions Find properties of sine functionsWrite equations of sine functions from graphs Write equations of sine functions using properties Graph sine functionsFind properties of cosine functionsWrite equations of cosine functions from graphs Write equations of cosine functions using properties Graph cosine functions Graph sine and cosine functions Trigonometric identities Complementary angle identitiesSymmetry and periodicity of trigonometric functions Trigonometric identities Conic sections Find properties of parabolasWrite equations of parabolas in vertex formGraph parabolasFind properties of circlesWrite equations of circles in standard formGraph circlesFind properties of ellipsesFind the eccentricity of an ellipseWrite equations of ellipses in standard formFind properties of hyperbolasFind the eccentricity of a hyperbolaWrite equations of hyperbolas in standard formConvert equations of conic sections from general to standard form Complex numbers Introduction to complex numbersAdd and subtract complex numbersComplex conjugatesMultiply and divide complex numbersAdd, subtract, multiply and divide complex numbers Absolute values of complex numbersPowers of i Complex plane Introduction to the complex plane Graph complex numbers Addition in the complex plane Subtraction in the complex plane Graph complex conjugates Absolute value in the complex plane Midpoints in the complex plane Distance in the complex plane Polar form Find the modulus and argument of a complex numberConvert complex numbers from rectangular to polar form Convert complex numbers from polar to rectangular form Convert complex numbers between rectangular and polar form Match polar equations and graphs Two-dimensional vectors Find the magnitude of a vectorFind the direction angle of a vectorFind the component form of a vectorFind the component form of a vector from its magnitude and direction angle Find a unit vectorAdd and subtract vectorsMultiply a vector by a scalarFind the magnitude or direction of a vector scalar multipleFind the magnitude and direction of a vector sumLinear combinations of vectorsGraph a resultant vector using the triangle methodGraph a resultant vector using the parallelogram method Three-dimensional vectors Find the magnitude of a three-dimensional vectorFind the component form of a three-dimensional vector Find a three-dimensional unit vectorAdd and subtract three-dimensional vectorsScalar multiples of three-dimensional vectorsLinear combinations of three-dimensional vectors Sequences and series Find terms of a sequenceFind terms of a recursive sequenceIdentify a sequence as explicit or recursiveFind a recursive formulaFind recursive and explicit formulasConvert a recursive formula to an explicit formula Convert an explicit formula to a recursive formula Convert between explicit and recursive formulas Introduction to sigma notationIdentify arithmetic and geometric series Find the sum of a finite arithmetic or geometric series Introduction to partial sumsPartial sums of arithmetic seriesPartial sums of geometric series Partial sums: mixed reviewConvergent and divergent geometric series Find the value of an infinite geometric series Write a repeating decimal as a fraction Logic Identify hypotheses and conclusions CounterexamplesConditionalsNegations Converses, inverses and contrapositives Biconditionals Probability Introduction to probabilityCalculate probabilities of eventsCombinations and permutationsFind probabilities using combinations and permutationsFind probabilities using two-way frequency tablesIdentify independent eventsFind conditional probabilitiesIndependence and conditional probabilityFind conditional probabilities using two-way frequency tables Find probabilities using the addition rule Probability distributions Identify discrete and continuous random variables Write a discrete probability distributionGraph a discrete probability distributionExpected values of random variables Variance of random variablesStandard deviation of random variablesWrite the probability distribution for a game of chance Expected values for a game of chanceChoose the better bet Find probabilities using the binomial distributionMean, variance and standard deviation of binomial distributions Find probabilities using the normal distribution IFind probabilities using the normal distribution IIFind z-valuesFind values of normal variablesDistributions of sample meansThe Central Limit TheoremUse normal distributions to approximate binomial distributions Statistics Identify biased samplesVariance and standard deviationIdentify an outlierIdentify an outlier and describe the effect of removing it Outliers in scatter plotsMatch correlation coefficients to scatter plotsCalculate correlation coefficientsFind the equation of a regression lineInterpret regression linesAnalyze a regression line of a data setAnalyze a regression line using statistics of a data set Find confidence intervals for population meansFind confidence intervals for population proportions Interpret confidence intervals for population means Share this:TwitterFacebookLike this:Like Loading...
