ACT Math

Common Core aligned

153 topics · 16 with slides · 16 with exercises

I
Algebra
1. Exponential and Absolute Value
  1. ACT.ALG.EXPABS.ABSAbsolute value equations and inequalitiescoming soon
  2. ACT.ALG.EXPABS.EXPExponential equations and growth/decaycoming soon
2. Linear Expressions, Equations, and Inequalities
  1. ACT.ALG.LINEAR.GRAPHGraphing linear equations and inequalitiescoming soon
  2. ACT.ALG.LINEAR.INTERPInterpreting slope and intercept in contextcoming soon
  3. ACT.ALG.LINEAR.PARPERPParallel and perpendicular line slopescoming soon
  4. ACT.ALG.LINEAR.FORMSSlope-intercept, point-slope, and standard formscoming soon
  5. ACT.ALG.LINEAR.SOLVESolving linear equations and inequalitiescoming soon
  6. ACT.ALG.LINEAR.MODELWriting linear equations from word problemscoming soon
3. Polynomial Expressions and Equations
  1. ACT.ALG.POLY.OPSAdding, subtracting, multiplying polynomialscoming soon
  2. ACT.ALG.POLY.DISCRIMDiscriminant and nature of rootscoming soon
  3. ACT.ALG.POLY.FACTORFactoring (GCF, grouping, trinomials, difference of squares, sum/difference of cubes)coming soon
  4. ACT.ALG.POLY.HIGHERHigher-degree polynomial equationscoming soon
  5. ACT.ALG.POLY.QUADSOLVESolving quadratics (factoring, formula, completing the square)coming soon
4. Rational and Radical Expressions and Equations
  1. ACT.ALG.RATRAD.RATLOPSSimplifying and operating with rational expressionscoming soon
  2. ACT.ALG.RATRAD.RADSOLVESolving radical equations (extraneous solutions)coming soon
  3. ACT.ALG.RATRAD.RATLSOLVESolving rational equationscoming soon
5. Sequences and Variation
  1. ACT.ALG.SEQ.ARITHArithmetic sequences and seriescoming soon
  2. ACT.ALG.SEQ.VARIATIONDirect, inverse, and joint variationcoming soon
  3. ACT.ALG.SEQ.GEOMGeometric sequences and seriescoming soon
6. Systems of Equations and Inequalities
  1. ACT.ALG.SYS.NUMSOLNo-solution and infinite-solution systemscoming soon
  2. ACT.ALG.SYS.SOLVESolving systems (substitution, elimination, graphing)coming soon
  3. ACT.ALG.SYS.MATRIXSolving systems via matricescoming soon
  4. ACT.ALG.SYS.INEQSystems of linear inequalitiescoming soon
II
Functions
1. Exponential Functions
  1. ACT.FN.EXP.GROWDECAYExponential growth and decaycoming soon
  2. ACT.FN.EXP.PARAMSInterpreting parameters and asymptotic behaviorcoming soon
2. Function Fundamentals
  1. ACT.FN.FUND.DEFDefinition and vertical line testcoming soon
  2. ACT.FN.FUND.DOMAINDomain and rangecoming soon
  3. ACT.FN.FUND.NOTATIONFunction notation and evaluationcoming soon
3. Function Operations and Inverses
  1. ACT.FN.OPS.ARITHMETICAdding, subtracting, multiplying, dividing functionscoming soon
  2. ACT.FN.OPS.INVERSEFinding and verifying inverse functionscoming soon
  3. ACT.FN.OPS.COMPOSEFunction composition f(g(x))coming soon
4. Linear Functions
  1. ACT.FN.LINEAR.GRAPHGraphing and interpreting linear functionscoming soon
  2. ACT.FN.LINEAR.RATERate of change and interceptscoming soon
5. Logarithmic Functions
  1. ACT.FN.LOG.TYPESCommon and natural logarithmscoming soon
  2. ACT.FN.LOG.DEFDefinition as inverse of exponentialcoming soon
  3. ACT.FN.LOG.PROPSProperties of logarithms (product, quotient, power)coming soon
  4. ACT.FN.LOG.SOLVESolving logarithmic equationscoming soon
6. Polynomial Functions
  1. ACT.FN.POLY.ENDBEHAVIOREnd behavior and degreecoming soon
  2. ACT.FN.POLY.ZEROSZeros from factored form and turning pointscoming soon
7. Quadratic Functions
  1. ACT.FN.QUAD.GRAPHGraphing parabolascoming soon
  2. ACT.FN.QUAD.FORMSStandard, vertex, and factored formscoming soon
  3. ACT.FN.QUAD.FEATURESVertex, axis of symmetry, intercepts, max/mincoming soon
8. Radical and Piecewise Functions
  1. ACT.FN.RADICAL.GRAPHGraphing square root and cube root functionscoming soon
  2. ACT.FN.RADICAL.PIECEWISEPiecewise-defined and step functionscoming soon
9. Transformations
  1. ACT.FN.TRANSFORM.COMBINEDCombining multiple transformationscoming soon
  2. ACT.FN.TRANSFORM.STRETCHStretches, compressions, and reflectionscoming soon
  3. ACT.FN.TRANSFORM.SHIFTVertical and horizontal shiftscoming soon
III
Geometry
Tutor Intake
1. Angles and Lines
  1. ACT.GEO.ANGLES.TYPESAngle classification and measurementcoming soon
  2. ACT.GEO.ANGLES.PARALLELAngles from parallel lines cut by a transversalcoming soon
  3. ACT.GEO.ANGLES.PAIRSComplementary, supplementary, and vertical anglescoming soon
  4. ACT.GEO.ANGLES.PERPPerpendicular linescoming soon
2. Circles
  1. ACT.GEO.CIRC.ARCSECTORArc length and sector areacoming soon
  2. ACT.GEO.CIRC.CENTRALINSCRIBEDCentral and inscribed anglescoming soon
  3. ACT.GEO.CIRC.CIRCUMAREACircumference and area
  4. ACT.GEO.CIRC.EQEquation of a circle in standard formcoming soon
  5. ACT.GEO.CIRC.PARTSRadius, diameter, chord, secant, tangentcoming soon
  6. ACT.GEO.CIRC.TANGENTTangent-radius perpendicularitycoming soon
3. Conic Sections
  1. ACT.GEO.CONIC.CIRCLEEquations of circlescoming soon
  2. ACT.GEO.CONIC.ELLIPSEEquations of ellipses (recognition and basic properties)coming soon
  3. ACT.GEO.CONIC.HYPERBOLAEquations of hyperbolas (recognition and basic properties)coming soon
  4. ACT.GEO.CONIC.PARABOLAEquations of parabolascoming soon
4. Coordinate Geometry
  1. ACT.GEO.COORD.DISTANCEDistance formula
  2. ACT.GEO.COORD.INTERSECTFinding points of intersectioncoming soon
  3. ACT.GEO.COORD.MIDPOINTMidpoint formulacoming soon
  4. ACT.GEO.COORD.SLOPESlope and equations of linescoming soon
5. Polygons and Quadrilaterals
  1. ACT.GEO.POLY.AREAPERIMArea and perimeter of quadrilaterals and polygonscoming soon
  2. ACT.GEO.POLY.ANGLESUMInterior and exterior angle sums of polygonscoming soon
  3. ACT.GEO.POLY.QUADPROPSProperties of parallelograms, rectangles, rhombi, squarescoming soon
  4. ACT.GEO.POLY.TRAPKITEProperties of trapezoids and kitescoming soon
  5. ACT.GEO.POLY.REGULARRegular polygon propertiescoming soon
6. Solid Geometry
  1. ACT.GEO.3D.COMPOSITEComposite 3D figures
  2. ACT.GEO.3D.CROSSCross-sections of solids
  3. ACT.GEO.3D.SASurface area of prisms, cylinders, pyramids, cones, spheres
  4. ACT.GEO.3D.VOLUMEVolume of prisms, cylinders, pyramids, cones, spheres
7. Transformations
  1. ACT.GEO.TRANSFORM.COMPOSECompositions and congruence vs similarity transformationscoming soon
  2. ACT.GEO.TRANSFORM.DILATIONDilations and scale factorscoming soon
  3. ACT.GEO.TRANSFORM.SYMMETRYLines of symmetrycoming soon
  4. ACT.GEO.TRANSFORM.RIGIDTranslations, reflections, rotationscoming soon
8. Triangles
  1. ACT.GEO.TRI.AREAArea and perimeter of triangles
  2. ACT.GEO.TRI.CLASSIFYClassification by sides and anglescoming soon
  3. ACT.GEO.TRI.ISOSCELESProperties of isosceles trianglescoming soon
  4. ACT.GEO.TRI.PYTHAGPythagorean theorem
  5. ACT.GEO.TRI.SPECIALSpecial right triangles: 30-60-90 and 45-45-90coming soon
  6. ACT.GEO.TRI.ANGLESUMTriangle angle sum and exterior angle theoremcoming soon
  7. ACT.GEO.TRI.CONGRTriangle congruence criteria (SSS, SAS, ASA, AAS)coming soon
  8. ACT.GEO.TRI.INEQUALITYTriangle inequality theoremcoming soon
  9. ACT.GEO.TRI.SIMILARTriangle similarity criteria (AA, SAS, SSS) and proportional sides
9. Trigonometry
  1. ACT.GEO.TRIG.RADIANDegree-radian conversioncoming soon
  2. ACT.GEO.TRIG.DOUBLESUMDouble-angle and sum/difference formulas (basic awareness)coming soon
  3. ACT.GEO.TRIG.GRAPHSGraphs of sin, cos, tan (amplitude, period, phase shift)
  4. ACT.GEO.TRIG.LAWCOSINESLaw of Cosines
  5. ACT.GEO.TRIG.LAWSINESLaw of Sines
  6. ACT.GEO.TRIG.PYTHAGIDPythagorean identity and basic trig identities
  7. ACT.GEO.TRIG.RECIPReciprocal trig functions (csc, sec, cot)
  8. ACT.GEO.TRIG.SOLVESolving right triangles with trig ratioscoming soon
  9. ACT.GEO.TRIG.RATIOSTrigonometric ratios (SOH-CAH-TOA)coming soon
  10. ACT.GEO.TRIG.UNITCIRCLEUnit circle values (key angles)coming soon
IV
Integrating Essential Skills
1. Applied Arithmetic
  1. ACT.IES.ARITH.ESTIMATEEstimation and mental mathcoming soon
  2. ACT.IES.ARITH.MULTISTEPMulti-step computation with whole numbers, fractions, decimalscoming soon
2. Applied Measurement
  1. ACT.IES.MEASURE.AREAArea of basic shapes in applied contextscoming soon
  2. ACT.IES.MEASURE.PERIMCIRCPerimeter and circumference in applied contextscoming soon
  3. ACT.IES.MEASURE.SAVOLSurface area and volume in applied contextscoming soon
3. Percentages
  1. ACT.IES.PCT.CALCCalculating percentagescoming soon
  2. ACT.IES.PCT.CHANGEPercent increase, decrease, and successive changescoming soon
  3. ACT.IES.PCT.APPLIEDTax, tip, discount, markup, commissioncoming soon
4. Ratios, Rates, and Proportions
  1. ACT.IES.RATIO.SCALEScale factors and scale drawingscoming soon
  2. ACT.IES.RATIO.PROPSetting up and solving proportionscoming soon
  3. ACT.IES.RATIO.CONVERTUnit conversion and dimensional analysiscoming soon
  4. ACT.IES.RATIO.UNITUnit rates and rate problemscoming soon
V
Number & Quantity
1. Complex Numbers
  1. ACT.NQ.COMPLEX.OPSArithmetic with complex numberscoming soon
  2. ACT.NQ.COMPLEX.CONJComplex conjugatescoming soon
  3. ACT.NQ.COMPLEX.DEFImaginary unit i and standard form a + bicoming soon
  4. ACT.NQ.COMPLEX.POWERSPowers of i (cyclical pattern)coming soon
2. Exponents and Radicals
  1. ACT.NQ.EXP.INTEGERInteger exponent rulescoming soon
  2. ACT.NQ.EXP.RATIONALRational (fractional) exponentscoming soon
  3. ACT.NQ.EXP.SCINOTATIONScientific notationcoming soon
  4. ACT.NQ.EXP.RADICALSSimplifying and operating with radicalscoming soon
3. Operations
  1. ACT.NQ.OPS.ARITHArithmetic with whole numbers, decimals, fractions, integerscoming soon
  2. ACT.NQ.OPS.FRACTIONSEquivalent fractions, mixed numbers, simplificationcoming soon
  3. ACT.NQ.OPS.ORDEROrder of operationscoming soon
4. Real Number System
  1. ACT.NQ.REALS.ABSVALAbsolute value and distance on the number linecoming soon
  2. ACT.NQ.REALS.CLASSIFYClassifying numbers (natural, whole, integer, rational, irrational)coming soon
  3. ACT.NQ.REALS.ORDEROrdering and comparing real numberscoming soon
  4. ACT.NQ.REALS.PROPSProperties of real numbers (commutative, associative, distributive)coming soon
5. Vectors and Matrices
  1. ACT.NQ.VECMAT.DETDeterminants (2x2)coming soon
  2. ACT.NQ.VECMAT.VECMAGMagnitude and unit vectorscoming soon
  3. ACT.NQ.VECMAT.MATSYSMatrices for systems of equationscoming soon
  4. ACT.NQ.VECMAT.MATOPSMatrix operations (add, subtract, scalar multiply, multiply)coming soon
  5. ACT.NQ.VECMAT.VECVector notation, addition, subtraction, scalar multiplicationcoming soon
VI
Statistics & Probability
1. Bivariate Data and Correlation
  1. ACT.SP.BIVAR.CAUSATIONCorrelation vs causationcoming soon
  2. ACT.SP.BIVAR.PREDICTMaking predictions from data and modelscoming soon
  3. ACT.SP.BIVAR.CORRPositive, negative, and no correlationcoming soon
2. Counting Techniques
  1. ACT.SP.COUNTING.COMBCombinations
  2. ACT.SP.COUNTING.FCPFundamental counting principlecoming soon
  3. ACT.SP.COUNTING.PERMPermutations
3. Data Collection Methods
  1. ACT.SP.METHODS.BIASIdentifying bias in data collectioncoming soon
  2. ACT.SP.METHODS.STUDYObservational studies vs experimentscoming soon
  3. ACT.SP.METHODS.SAMPLINGSampling methods (random, stratified, cluster, convenience)coming soon
4. Data Representation and Interpretation
  1. ACT.SP.DATA.DISPLAYSBar graphs, histograms, line graphs, pie chartscoming soon
  2. ACT.SP.DATA.SCATTERScatterplots and trend linescoming soon
  3. ACT.SP.DATA.STEMBOXStem-and-leaf plots and box plotscoming soon
  4. ACT.SP.DATA.TABLESTables, frequency tables, two-way tablescoming soon
5. Measures of Center and Spread
  1. ACT.SP.CENTER.OUTLIEREffects of outliers on measurescoming soon
  2. ACT.SP.CENTER.MEANMean, median, modecoming soon
  3. ACT.SP.CENTER.SPREADRange, IQR, standard deviation (conceptual)coming soon
  4. ACT.SP.CENTER.WEIGHTEDWeighted averagecoming soon
6. Probability
  1. ACT.SP.PROB.BASICBasic probability of single eventscoming soon
  2. ACT.SP.PROB.COMPLEMENTComplementary eventscoming soon
  3. ACT.SP.PROB.COMPOUNDCompound events (and/or)coming soon
  4. ACT.SP.PROB.CONDConditional probabilitycoming soon
  5. ACT.SP.PROB.DISTRIBDiscrete random variables and expected valuecoming soon
  6. ACT.SP.PROB.INDEPIndependent and dependent eventscoming soon
  7. ACT.SP.PROB.TWOWAYProbability from two-way tablescoming soon