ACT Math Crosswalk
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Preparing Students for Higher Mathematics (57-60% of test)
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This category captures the more recent mathematics that students are learning, starting when students begin using algebra as a general way of expressing and solving equations. This category is divided into the following five subcategories: Number and Quantity, Algebra, Functions, Geometry, and Statistics & Probability.
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Core StrandACT SubcategoryACT TopicUtah Math Standards
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Number and Quantity
7-10% of test
Elementary Algebra
Real Number SystemII.N.RN.3
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Intermediate Algebra
Complex Number SystemII.NC.N.1
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Intermediate Algebra
Operations with complex numbersII.NC.N.2
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Elementary Algebra
Integer Exponents8.EE.1
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Elementary Algebra
Rational ExponentsII.N.RN.1, II.N.RN.2
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Elementary Algebra
Properties of square roots8.EE.2, II.N.RN.3, II.A.REI.4
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Intermediate Algebra
VectorsIH.N.VM.1, IH.N.VM.2, IH.N.VM.3, IH.N.VM.4, IH.N.VM.5, IH.N.VM.11
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Intermediate Algebra
MatricesIH.N.VM.6, IH.N.VM.7, IH.N.VM.8, IH.N.VM.9, IH.N.VM.10, IH.N.VM.11, 1H.N.VM.13
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Algebra
12-15% of test
Elementary Algebra
Solve, graph, model linear relationshipsI.A.CED.1, I.A.CED.2, I.A.REI.1, I.A.REI.3, I.FIF.4, I.FIF.7, I.FBF.3, I.FLE.1, I.FLE.2
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Intermediate Algebra
Solve, graph, model polynomial relationshipsIII.A.APR.3, III.A.CED.1, III.A.CED.2, III.F.IF.4, III.F.IF.7
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Intermediate Algebra
Solve, graph, model radical relationshipsIII.A.REI.2, III.F.IF.4, III.F.IF.7
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Intermediate Algebra
Solve, graph, model exponential relationships
I.FIF.4, I.FIF.7, I.FBF.3, I.FLE.1, I.FLE.2
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Coordinate Geometry
Graph linear inequalitiesI.A.REI.12
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Intermediate Algebra
Rational expressionsIII.A.APR.6, III.A.APR.7
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Intermediate Algebra
Aboslute value equations and inequalities8.EE.7c, I.A.REI.3
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Elementary Algebra
Solving quadratic equations by factoringII.A.REI.4, II.A.CED.1, II.A.CED.2
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Intermediate Algebra
Quadratic equations (including quadratic formula)
II.A.REI.4, II.A.CED.1, II.A.CED.2
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Intermediate Algebra
Roots of polynomialsII.N.CN.9, III.A.APR.2, III.A.APR.3, III.N.CN.9
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Coordinate Geometry
Quadratic inequalitiesII.A.CED.1, III.A.CED.1
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Intermediate Algebra
Systems of equations8.EE.8, I.A.REI.6, I.A.REI.11, II.A.REI.7, III.A.REI.11
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Functions
12-15% of test
Elementary Algebra
Function definitionI.F.IF.1
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Elementary Algebra
Function notationI.FIF.2
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Elementary Algebra
Function representationsI.FIF.4
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Intermediate Algebra
Function applicationsI.FBF.1, I.A.CED.1, I.A.CED.2, II.F.BF.1, II.A.CED.1, II.A.CED.2
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Intermediate Algebra
Sequences and patternsI.F.IF.3, I.F.BF.1, I.F.BF.2, I.FLE.2
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Intermediate Algebra
Transformations and features of linear functions
I.F.BF.3
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Intermediate Algebra
Transformations and features of radical functions
III.F.BF.3, III.F.IF.4, III.F.IF.7
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Intermediate Algebra
Transofrmations and features of piecewise functions
II.F.BF.3, II.F.IF.4, II.F.IF.7, III.F.BF.3, III.F.IF.4, III.F.IF.7
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Intermediate Algebra
Transfromations and features of polynomial functions
III.F.BF.3, III.F.IF.4, III.F.IF.7
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Intermediate Algebra
Transformationd and features of logarithmic functions
III.F.BF.3, III.F.IF.4, III.F.IF.7
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TrigonometryTrigonometric functionsIII.F.TF.5, III.F.TF.7
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Geometry
12-15% of test
Plane GeometryCongruence of triangles and other polygonsI.G.CO.7, I.G.CO.8
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Plane GeometrySimiliarity of triangles and other polygonsII.G.SRT.2, II.G.SRT.3, II.G.SRT.5, II.G.SRT.6
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Coordinate Geometry
Distance and midpoint8.G.8, I.G.GPE.7
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Coordinate Geometry
Slope8.EE.6, 8.F.4, I.G.GPE.5
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Coordinate Geometry
Parallel and perpendicular linesI.G.GPE.5
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Plane GeometryTransformationsI.G.CO.2, I.G.CO.3, I.G.CO.4, I.G.CO.5, I.G.CO.6
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Plane GeometryApplications of surface area8.G.9, II.G.GMD.1
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Plane GeometryApplication of volume8.G.9, II.G.GMD.1
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Plane GeometryProofsII.G.CO.9, II.G.CO.10, II.G.CO.11, II.G.SRT.4, II.G.C.3
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Plane GeometrySolve for missing values in trianglesII.G.SRT.5, II.G.SRT.8, III.G.SRT.11
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Plane GeometrySolve for missing values in circlesII.G.C.2, II.G.C.3
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Plane GeometrySolve for missing values in polygons7.G.6, II.G.SRT.5
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TrigonometryTrigonometric ratiosII.G.SRT.6, II.G.SRT.8
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TrigonometryModel using trigonometryIII.F.TF.5
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TrigonometryUse trigonometric identitiesII.F.TF.8, III.F.TF.3, IIIH.F.TF.4, IIIH.F.TF.9
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TrigonometrySolve trigonometric equationsIII.F.TF.7, IIIH.F.TF.7
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Coordinate Geometry
Equations of conic sectionsIIH.G.GPE.2, IIH.G.GPE.3
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Statistics & Probability
8-12% of test
Elementary Algebra
Describe center and spread of distribution7.SP.4, I.S.ID.2, I.S.ID.3
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Elementary Algebra
Apply and anaylize data collection methodsIII.S.IC.3, III.S.IC.6
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Intermediate Algebra
Understand and model relationships in bivariate data
8.SP.1, 8.SP.2, 8.SP.3, I.S.ID.6, I.S.ID.7, I.S.ID.8, I.S.ID.9
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Intermediate Algebra
Calculate probabilities7.SP.5, 7.SP.6, 7.SP.7, 7.SP.8, II.S.CP.4, II.S.CP.5, II.S.CP.6
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Intermediate Algebra
Sample spaces7.SP.8, II.S.CP.1
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Integrating Essential Skills (40–43% of test)
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These questions address concepts typically learned before 8th grade, such as rates and percentages; proportional relationships; area, surface area, and volume; average and median; and expressing numbers in different ways. Students will solve problems of increasing complexity, combine skills in longer chains of steps, apply skills in more varied contexts, understand more connections, and become more fluent.
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Ratios & Proportional
Relationships
Pre-AlgebraRates7.RP.1
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Pre-AlgebraPercentages7.RP.3
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Pre-AlgebraProportional relationships7.RP.2, 7.RP.3, 8.EE.5
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Number SystemPre-AlgebraBasic operations on numbers7.NS.1, 7.NS.2, 7.NS.3
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Pre-AlgebraPlace valueNBT in elementary
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Pre-AlgebraSquare roots and their approximations8.NS.3, 8.EE.2
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Pre-AlgebraAbsolute value6.NS.7
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Pre-AlgebraOrdering numbers by value8.NS.2
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Expressions &
Equations
Pre-AlgebraProperties of Exponents8.EE.1
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Pre-AlgebraScientific Notation8.EE.3, 8.EE.4
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Pre-AlgebraLinear equations in one variable7.EE.3, 7.EE.4, 8.EE.2, 8.EE.7
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Pre-AlgebraProperties of square roots8.EE.2, 8.NS.3
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Pre-AlgebraAlgebraic operations7.EE.3, 8.EE.7
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GeometryPlane Geometry
Area (triangles, special quadrilaterals, polygons)
6.G.1
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Plane GeometryArea (circles)7.G.4
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Plane GeometrySurface area6.G.4, 7.G.6
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Plane GeometryVolume
5.MD.3, 5.MD.4, 5.MD.5, 6.G.2, 7.G.6, 8.G.9
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Coordinate Geometry
Slope8.EE.5, 8.EE.6
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Plane Geometry
Properties of angles and parallel and perpendicular lines
7.G.5, 8.G.5
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Plane GeometryTransformations8.G.1, 8.G.2, 8.G.3, 8.G.4
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Plane GeometryProperties of circles7.G.4
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Plane GeometryProperties of triangles7.G.2, 8.G.5
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Plane Geometry
Properties of rectangles, parallelograms, trapezoids
5.G.3, 5.G.4
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Stats & ProbabilityPre-AlgebraAverage6.SP.3, 6.SP.5, 7.SP.4
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Pre-AlgebraMedian6.SP.3, 6.SP.5, 7.SP.4
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Pre-AlgebraData collection and represesntation6.SP.4, 7.SP.3, 8.SP.1
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Pre-AlgebraSimple probability7.SP.5, 7.SP.6, 7.SP.7
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Pre-AlgebraCounting techniques7.SP.8
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Modeling (>25%)
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This category represents all questions that involve producing, interpreting, understanding, evaluating, and improving models. Each question is also counted in other appropriate reporting categories above. This category is an overall measure of how well students use modeling skills across mathematical topics.
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