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Sine and cosine graphsRead amplitude, period, midline and phase shift off a graph or an equation, write the equation for a graph, and plot one from its equation.Tan, cot, sec and cscRead a graphFeatures from an equationGraph to equationGraph to equation with a shiftEquation to graphAlgebraLinear equations and inequalities, absolute value, slope and lines, factoring and solving quadratics, the quadratic formula, vertex form, and systems.Solve a linear equationDistribute and combine like termsSolve an inequalityAbsolute value equationsSlope from two pointsEquation of a lineFactor a quadraticSolve a quadraticQuadratic formulaVertex formSystem of equationsExponents and radicalsExponent rules, negative and fraction exponents, and simplifying square roots.Exponent rulesNegative and fraction exponentsSimplify square rootsFunctions and sequencesEvaluate and compose functions, and find terms, ratios and formulas for arithmetic and geometric sequences.Evaluate a functionCompose functionsArithmetic sequencesGeometric sequencesLines and parabolasThe equation of a line from its graph, a parabola’s vertex and intercepts, its equation, and plotting one from vertex form.Equation of a line from its graphRead a parabolaEquation of a parabola from its graphGraph a parabolaAngles and trianglesAngle pairs, the angles of a triangle, the Pythagorean theorem, special right triangles, similar triangles and SOH-CAH-TOA.Angle pairsAngles in a trianglePythagorean theoremSpecial right trianglesSimilar trianglesRight-triangle trigArea and volumeArea and perimeter of the common shapes, and the volume and surface area of boxes, cylinders, cones, spheres and pyramids.Area and perimeterVolumeSurface areaCircles and coordinatesArc length and sector area, inscribed and central angles, distance and midpoint, and the equation of a circle.Arc length and sector areaAngles in a circleDistance and midpointEquation of a circleLogarithmsEvaluate , and solve exponential and equations by matching bases.Evaluate a logarithmExponential and log equationsPolynomials and rational expressionsThe remainder and factor theorems, synthetic division, and simplifying fractions of polynomials.Remainder and factor theoremsDivide polynomialsRational expressionsUnit circle and triangle trigExact values at the special angles, the law of and the law of cosines.Unit circle valuesLaw of sinesLaw of cosinesLimitsLimits by substitution, the case by factoring, and limits at infinity.Limits by substitutionLimits with 0/0Limits at infinityDerivativesThe power rule, the derivative at a point, tangent lines, and the chain, product and quotient rules.Power ruleDerivative at a pointTangent lineChain ruleProduct and quotient rulesIntegralsAntiderivatives with the power rule backwards, and definite integrals of polynomials.AntiderivativesDefinite integrals
Math guides
Sine and cosine graphs, explainedHow to read amplitude, period, phase shift and midline from y = A sin(B(x − C)) + D, write an equation from a graph and plot one period with five key points.5 min readHow to factor quadraticsFactor any quadratic step by step: take out the GCF, find two numbers for x² + bx + c, use grouping for ax² + bx + c, spot special patterns and solve.5 min readSlope and the equation of a lineFind slope from two points or a graph, write a line in slope-intercept or point-slope form, and handle parallel, perpendicular, horizontal and vertical lines.4 min read
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