A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | AA | AB | |
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1 | Preparing Students for Higher Mathematics (57-60% of test) | |||||||||||||||||||||||||||

2 | 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. | |||||||||||||||||||||||||||

3 | Core Strand | ACT Subcategory | ACT Topic | Utah Math Standards | ||||||||||||||||||||||||

4 | Number and Quantity 7-10% of test | Elementary Algebra | Real Number System | II.N.RN.3 | ||||||||||||||||||||||||

5 | Intermediate Algebra | Complex Number System | II.NC.N.1 | |||||||||||||||||||||||||

6 | Intermediate Algebra | Operations with complex numbers | II.NC.N.2 | |||||||||||||||||||||||||

7 | Elementary Algebra | Integer Exponents | 8.EE.1 | |||||||||||||||||||||||||

8 | Elementary Algebra | Rational Exponents | II.N.RN.1, II.N.RN.2 | |||||||||||||||||||||||||

9 | Elementary Algebra | Properties of square roots | 8.EE.2, II.N.RN.3, II.A.REI.4 | |||||||||||||||||||||||||

10 | Intermediate Algebra | Vectors | IH.N.VM.1, IH.N.VM.2, IH.N.VM.3, IH.N.VM.4, IH.N.VM.5, IH.N.VM.11 | |||||||||||||||||||||||||

11 | Intermediate Algebra | Matrices | IH.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 | |||||||||||||||||||||||||

12 | Algebra 12-15% of test | Elementary Algebra | Solve, graph, model linear relationships | I.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 | ||||||||||||||||||||||||

13 | Intermediate Algebra | Solve, graph, model polynomial relationships | III.A.APR.3, III.A.CED.1, III.A.CED.2, III.F.IF.4, III.F.IF.7 | |||||||||||||||||||||||||

14 | Intermediate Algebra | Solve, graph, model radical relationships | III.A.REI.2, III.F.IF.4, III.F.IF.7 | |||||||||||||||||||||||||

15 | Intermediate Algebra | Solve, graph, model exponential relationships | I.FIF.4, I.FIF.7, I.FBF.3, I.FLE.1, I.FLE.2 | |||||||||||||||||||||||||

16 | Coordinate Geometry | Graph linear inequalities | I.A.REI.12 | |||||||||||||||||||||||||

17 | Intermediate Algebra | Rational expressions | III.A.APR.6, III.A.APR.7 | |||||||||||||||||||||||||

18 | Intermediate Algebra | Aboslute value equations and inequalities | 8.EE.7c, I.A.REI.3 | |||||||||||||||||||||||||

19 | Elementary Algebra | Solving quadratic equations by factoring | II.A.REI.4, II.A.CED.1, II.A.CED.2 | |||||||||||||||||||||||||

20 | Intermediate Algebra | Quadratic equations (including quadratic formula) | II.A.REI.4, II.A.CED.1, II.A.CED.2 | |||||||||||||||||||||||||

21 | Intermediate Algebra | Roots of polynomials | II.N.CN.9, III.A.APR.2, III.A.APR.3, III.N.CN.9 | |||||||||||||||||||||||||

22 | Coordinate Geometry | Quadratic inequalities | II.A.CED.1, III.A.CED.1 | |||||||||||||||||||||||||

23 | Intermediate Algebra | Systems of equations | 8.EE.8, I.A.REI.6, I.A.REI.11, II.A.REI.7, III.A.REI.11 | |||||||||||||||||||||||||

24 | Functions 12-15% of test | Elementary Algebra | Function definition | I.F.IF.1 | ||||||||||||||||||||||||

25 | Elementary Algebra | Function notation | I.FIF.2 | |||||||||||||||||||||||||

26 | Elementary Algebra | Function representations | I.FIF.4 | |||||||||||||||||||||||||

27 | Intermediate Algebra | Function applications | I.FBF.1, I.A.CED.1, I.A.CED.2, II.F.BF.1, II.A.CED.1, II.A.CED.2 | |||||||||||||||||||||||||

28 | Intermediate Algebra | Sequences and patterns | I.F.IF.3, I.F.BF.1, I.F.BF.2, I.FLE.2 | |||||||||||||||||||||||||

29 | Intermediate Algebra | Transformations and features of linear functions | I.F.BF.3 | |||||||||||||||||||||||||

30 | Intermediate Algebra | Transformations and features of radical functions | III.F.BF.3, III.F.IF.4, III.F.IF.7 | |||||||||||||||||||||||||

31 | 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 | |||||||||||||||||||||||||

32 | Intermediate Algebra | Transfromations and features of polynomial functions | III.F.BF.3, III.F.IF.4, III.F.IF.7 | |||||||||||||||||||||||||

33 | Intermediate Algebra | Transformationd and features of logarithmic functions | III.F.BF.3, III.F.IF.4, III.F.IF.7 | |||||||||||||||||||||||||

34 | Trigonometry | Trigonometric functions | III.F.TF.5, III.F.TF.7 | |||||||||||||||||||||||||

35 | Geometry 12-15% of test | Plane Geometry | Congruence of triangles and other polygons | I.G.CO.7, I.G.CO.8 | ||||||||||||||||||||||||

36 | Plane Geometry | Similiarity of triangles and other polygons | II.G.SRT.2, II.G.SRT.3, II.G.SRT.5, II.G.SRT.6 | |||||||||||||||||||||||||

37 | Coordinate Geometry | Distance and midpoint | 8.G.8, I.G.GPE.7 | |||||||||||||||||||||||||

38 | Coordinate Geometry | Slope | 8.EE.6, 8.F.4, I.G.GPE.5 | |||||||||||||||||||||||||

39 | Coordinate Geometry | Parallel and perpendicular lines | I.G.GPE.5 | |||||||||||||||||||||||||

40 | Plane Geometry | Transformations | I.G.CO.2, I.G.CO.3, I.G.CO.4, I.G.CO.5, I.G.CO.6 | |||||||||||||||||||||||||

41 | Plane Geometry | Applications of surface area | 8.G.9, II.G.GMD.1 | |||||||||||||||||||||||||

42 | Plane Geometry | Application of volume | 8.G.9, II.G.GMD.1 | |||||||||||||||||||||||||

43 | Plane Geometry | Proofs | II.G.CO.9, II.G.CO.10, II.G.CO.11, II.G.SRT.4, II.G.C.3 | |||||||||||||||||||||||||

44 | Plane Geometry | Solve for missing values in triangles | II.G.SRT.5, II.G.SRT.8, III.G.SRT.11 | |||||||||||||||||||||||||

45 | Plane Geometry | Solve for missing values in circles | II.G.C.2, II.G.C.3 | |||||||||||||||||||||||||

46 | Plane Geometry | Solve for missing values in polygons | 7.G.6, II.G.SRT.5 | |||||||||||||||||||||||||

47 | Trigonometry | Trigonometric ratios | II.G.SRT.6, II.G.SRT.8 | |||||||||||||||||||||||||

48 | Trigonometry | Model using trigonometry | III.F.TF.5 | |||||||||||||||||||||||||

49 | Trigonometry | Use trigonometric identities | II.F.TF.8, III.F.TF.3, IIIH.F.TF.4, IIIH.F.TF.9 | |||||||||||||||||||||||||

50 | Trigonometry | Solve trigonometric equations | III.F.TF.7, IIIH.F.TF.7 | |||||||||||||||||||||||||

51 | Coordinate Geometry | Equations of conic sections | IIH.G.GPE.2, IIH.G.GPE.3 | |||||||||||||||||||||||||

52 | Statistics & Probability 8-12% of test | Elementary Algebra | Describe center and spread of distribution | 7.SP.4, I.S.ID.2, I.S.ID.3 | ||||||||||||||||||||||||

53 | Elementary Algebra | Apply and anaylize data collection methods | III.S.IC.3, III.S.IC.6 | |||||||||||||||||||||||||

54 | 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 | |||||||||||||||||||||||||

55 | Intermediate Algebra | Calculate probabilities | 7.SP.5, 7.SP.6, 7.SP.7, 7.SP.8, II.S.CP.4, II.S.CP.5, II.S.CP.6 | |||||||||||||||||||||||||

56 | Intermediate Algebra | Sample spaces | 7.SP.8, II.S.CP.1 | |||||||||||||||||||||||||

57 | Integrating Essential Skills (40–43% of test) | |||||||||||||||||||||||||||

58 | 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. | |||||||||||||||||||||||||||

59 | Ratios & Proportional Relationships | Pre-Algebra | Rates | 7.RP.1 | ||||||||||||||||||||||||

60 | Pre-Algebra | Percentages | 7.RP.3 | |||||||||||||||||||||||||

61 | Pre-Algebra | Proportional relationships | 7.RP.2, 7.RP.3, 8.EE.5 | |||||||||||||||||||||||||

62 | Number System | Pre-Algebra | Basic operations on numbers | 7.NS.1, 7.NS.2, 7.NS.3 | ||||||||||||||||||||||||

63 | Pre-Algebra | Place value | NBT in elementary | |||||||||||||||||||||||||

64 | Pre-Algebra | Square roots and their approximations | 8.NS.3, 8.EE.2 | |||||||||||||||||||||||||

65 | Pre-Algebra | Absolute value | 6.NS.7 | |||||||||||||||||||||||||

66 | Pre-Algebra | Ordering numbers by value | 8.NS.2 | |||||||||||||||||||||||||

67 | Expressions & Equations | Pre-Algebra | Properties of Exponents | 8.EE.1 | ||||||||||||||||||||||||

68 | Pre-Algebra | Scientific Notation | 8.EE.3, 8.EE.4 | |||||||||||||||||||||||||

69 | Pre-Algebra | Linear equations in one variable | 7.EE.3, 7.EE.4, 8.EE.2, 8.EE.7 | |||||||||||||||||||||||||

70 | Pre-Algebra | Properties of square roots | 8.EE.2, 8.NS.3 | |||||||||||||||||||||||||

71 | Pre-Algebra | Algebraic operations | 7.EE.3, 8.EE.7 | |||||||||||||||||||||||||

72 | Geometry | Plane Geometry | Area (triangles, special quadrilaterals, polygons) | 6.G.1 | ||||||||||||||||||||||||

73 | Plane Geometry | Area (circles) | 7.G.4 | |||||||||||||||||||||||||

74 | Plane Geometry | Surface area | 6.G.4, 7.G.6 | |||||||||||||||||||||||||

75 | Plane Geometry | Volume | 5.MD.3, 5.MD.4, 5.MD.5, 6.G.2, 7.G.6, 8.G.9 | |||||||||||||||||||||||||

76 | Coordinate Geometry | Slope | 8.EE.5, 8.EE.6 | |||||||||||||||||||||||||

77 | Plane Geometry | Properties of angles and parallel and perpendicular lines | 7.G.5, 8.G.5 | |||||||||||||||||||||||||

78 | Plane Geometry | Transformations | 8.G.1, 8.G.2, 8.G.3, 8.G.4 | |||||||||||||||||||||||||

79 | Plane Geometry | Properties of circles | 7.G.4 | |||||||||||||||||||||||||

80 | Plane Geometry | Properties of triangles | 7.G.2, 8.G.5 | |||||||||||||||||||||||||

81 | Plane Geometry | Properties of rectangles, parallelograms, trapezoids | 5.G.3, 5.G.4 | |||||||||||||||||||||||||

82 | Stats & Probability | Pre-Algebra | Average | 6.SP.3, 6.SP.5, 7.SP.4 | ||||||||||||||||||||||||

83 | Pre-Algebra | Median | 6.SP.3, 6.SP.5, 7.SP.4 | |||||||||||||||||||||||||

84 | Pre-Algebra | Data collection and represesntation | 6.SP.4, 7.SP.3, 8.SP.1 | |||||||||||||||||||||||||

85 | Pre-Algebra | Simple probability | 7.SP.5, 7.SP.6, 7.SP.7 | |||||||||||||||||||||||||

86 | Pre-Algebra | Counting techniques | 7.SP.8 | |||||||||||||||||||||||||

87 | Modeling (>25%) | |||||||||||||||||||||||||||

88 | 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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