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Morgan County School District
Morgan County Curriculum 4.1 High School
Mathematics - Pre-Calculus

Number Properties and Operations (20%)

1.1.1 (Supporting)
The learner will be able to compare real numbers using order relations (less than, greater than, equal to) and represent problems using real numbers.
Strand Bloom's Scope Hours Source Activities
Number Sense   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.12; Kentucky Program of Studies (2006) NPO-U-4, NPO-S-NS1, NPO-S-NS2; American College Test (ACT) Objectives 1, 6, 12, 32, 81, 90 Classroom
  
1.1.2 (Supporting)
The learner will be able to demonstrate the relationships between different subsets of the real number system.
Strand Bloom's Scope Hours Source Activities
Number Sense   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.12; Kentucky Program of Studies NPO-U-1, NPO-S-NS5, NPO-PN03; American College Test (ACT) Objectives 67, 87 Classroom
  
1.2.1 (Supporting)
The learner will be able to estimate solutions to problems with real numbers (including very large and very small quantities) in both real-world and mathematical problems, and USE the estimations to check for reasonable computational results.
Strand Bloom's Scope Hours Source Activities
Estimation   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.12; Kentucky Program of Studies (2006) NPO-U-3, NPO-S-E7 Classroom
  
1.3.1 (DOK 2) ASSESSED
The learner will be able to solve real-world and mathematical problems to specified accuracy levels by simplifying expressions with real numbers involving addition, subtraction, multiplication, division, absolute value, integer exponents, roots (square, cube) and factorials.
Strand Bloom's Scope Hours Source Activities
Number Operations   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.12; Kentucky Program of Studies NPO-U-3, NPO-S-NO1, NPO-S-NO3, NPO-S-NO4, NPO-S-NO9, NPO-S-NO10; American College Test (ACT) Objectives 4, 5, 13, 16, 18, 19, 24, 33, 34, 35, 36, 37, 38, 39, 40, 41, 80 Classroom
  
1.3.2 (DOK 3) ASSESSED
The learner will be able to describe and extend arithmetic and geometric sequences; DETERMINE a specific term of a sequence given in explicit formula; DETERMINE an explicit rule for the nth term of an arithmetic sequence and APPLY sequences to solve real-world problems.
Strand Bloom's Scope Hours Source Activities
Number Operations   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.12; Kentucky Program of Studies (2006) NPO-U-1, NPO-S-NO5, NPO-S-NO6; American College Test (ACT) Objectives Classroom
  
1.3.3 (Supporting)
The learner will be able to write an explicit rule for the nth term of a geometric sequence.
Strand Bloom's Scope Hours Source Activities
Number Operations   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.12; Kentucky Program of Studies (2006) NPO-U-1, NPO-S-NO7; American College Test (ACT) Objectives Classroom
  
1.4.1 (DOK 2) ASSESSED
The learner will be able to apply ratios, percents and proportional reasoning to solve real-world problems (e.g., those involving slope and rate, percent of increase and decrease) and will EXPLAIN how slope determines a rate of change in linear functions representing real-world problems.
Strand Bloom's Scope Hours Source Activities
Ratios and Proportional Reasoning   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.12; Kentucky Program of Studies (2006) NPO-U-5, NPO-S-RP1, NPO-S-RP3; American College Test (ACT) Objectives 75, 82 Classroom
  
1.5.1 (Supporting)
The learner will be able to identify real number properties (commutative properties of additions and multiplication, associative properties of addition and multiplication, distributive property of multiplication over addition and subtraction, IDENTIFY properties of addition and multiplication and inverse properties of additions and multiplication) when used to justify a given step in simplifying an expression or solving an equation.
Strand Bloom's Scope Hours Source Activities
Properties of Numbers and Operations   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.12; Kentucky Program of Studies (2006) NPO-U-2, NPO-S-PNO1; American College Test (ACT) Objectives 14, 73, 85 Classroom
  
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Measurement (12%)

2.1.2 (DOK3) ASSESSED
The learner will be able to describe how a change in one or more dimensions of a geometric figure affects the perimeter, area and volume of the figure.
Strand Bloom's Scope Hours Source Activities
Measuring Physical Attributes   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.9, 2.10; Kentucky Program of Studies (2006) M-U-2, M-PA4 Classroom
  
2.1.3 (DOK 3) ASSESSED
The learner will be able to apply definitions and properties of right triangle relationships (right triangle trigonometry and the Pythagorean theorem) to determine length and angle measures to solve real-world and mathematical problems.
Strand Bloom's Scope Hours Source Activities
Measuring Physical Attributes   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.9, 2.10; Kentucky Program of Studies (2006) M-U-3, M-S-MPA5, M-S-MPA6; American College Test (ACT) Objectives 60, 61, 62, 66 Classroom
  
2.1.4 (Supporting)
The learner will be able to apply special right triangles and converse of the Pythagorean theorem to solve real-world problems.
Strand Bloom's Scope Hours Source Activities
Measuring Physical Attributes   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.9, 2.10; Kentucky Program of Studies (2006) M-U-3, M-S-MPA7; American College Test (ACT) Objectives 55 Classroom
  
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Geometry (18%)

3.1.1 (DOK 2) ASSESSED
The learner will be able to analyze and APPLY spatial relationships (not using Cartesian coordinates) among points, lines and planes (e.g., betweenness of points, midpoint, segment length, collinear, coplanar, parallel, perpendicular, skew).
Strand Bloom's Scope Hours Source Activities
Shapes and Relationships   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.9, 2.10, 2.12; Kentucky Program of Studies (2006) G-U-1, G-S-SR1, G-S-SR2, G-S-SR6; American Colllege Test (ACT) Objective 50, 64, 65, 88 Classroom
  
3.1.3 (DOK 2) ASSESSED
The learner will be able to analyze and APPLY angle relationships (e.g., linear pairs, relationships, complementary, supplementary, corresponding and alternate interior angles) in real-world and mathematical problems.
Strand Bloom's Scope Hours Source Activities
Shapes and Relationships   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.9, 2.10, 2.12; Kentucky Program of Studies (2006) G-U-1, G-S-SR3; American Colllege Test (ACT) Objective 51, 52 Classroom
  
3.1.5 (DOK 2) ASSESSED
The learner will be able to classify and APPLY properties of two-dimensional geometric figures (e.g., number of sides, vertices, length of sides, sum of interior and exterior angle measures).
Strand Bloom's Scope Hours Source Activities
Shapes and Relationships   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.9, 2.10, 2.12; Kentucky Program of Studies (2006) G-U-1, G-S-SR7; American Colllege Test (ACT) Objective 42, 43, 47, 48, 49, 71 Classroom
  
3.1.6 (ADP, Supporting)
The learner will be able to know the definitions and basic properties of a circle and will USE them to provide basic theorems and solve problems.
Strand Bloom's Scope Hours Source Activities
Shapes and Relationships   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.9, 2.10, 2.12; Kentucky Program of Studies (2006) G-U-1, G-S-SR5; American Colllege Test (ACT) Objective 43, 44, 45, 46, 58, 59, 69, 70 Classroom
  
3.3.1 (DOK 2) ASSESSED
The learner will be able to apply algebraic concepts and graphing in the coordinate plane to ANALYZE and SOLVE problems (e.g., finding the final coordinates for a specified polygon, midpoints, between-ness of points, parallel and perpendicular lines, the distance between two points, the slope of a segment).
Strand Bloom's Scope Hours Source Activities
Coordinate Geometry   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.9, 2.10, 2.12; Kentucky Program of Studies (2006) G-U-2, G-S-CG1, CG2, CG3, CG5, CG6; American College Test (ACT) Objectives 8, 10 Classroom
  
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Data Analysis and Probability (15%)

4.1.1 (DOK 3) ASSESSED
The learner will be able to analyze and MAKE INFERENCES from a set of data with no more than two variables, and will ANALYZE problems for the use and misuse of data representations.
Strand Bloom's Scope Hours Source Activities
Data Representations   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006): American College Test (ACT) Objectives 83, 84 Classroom
  
4.1.2 (DOK 2) ASSESSED
The learner will be able to construct data displays for data with no more than two variables.
Strand Bloom's Scope Hours Source Activities
Data Representations   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
4.1.3 (Supporting)
The learner will be able to represent real-world data USING matrices and will USE matrix addition, subtraction, multiplication (with matrices no larger than 2x2) and scalar multiplication to solve real-world problems.
Strand Bloom's Scope Hours Source Activities
Data Representations   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.12. 2.13; Kentucky Program of Studies (2006) NPO-U-1 Classroom
  
4.2.1 (DOK 2) ASSESSED
The learner will be able to describe and COMPARE data distributions and make inferences from the data based on the shapes of graphs, measures of center (mean, median, mode) and measures of spread (range, standard deviation).
Strand Bloom's Scope Hours Source Activities
Characteristics of Data Sets   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
4.2.3 (DOK 3) ASSESSED
The learner will be able to identify an appropriate curve of best fit (linear, quadratic, exponential) for a set of two-variable data; DETERMINE a line of best fit equation for a set of linear two-variable data and APPLY a line of best fit to make predictions within and beyond a given set of two-variable data.
Strand Bloom's Scope Hours Source Activities
Characteristics of Data Sets   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
4.2.4 (Supporting)
The learner will be able to recognize when arguments based on data confuse correlation and causation.
Strand Bloom's Scope Hours Source Activities
Characteristics of Data Sets   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
4.4.1 (DOK 3) ASSESSED
The learner will be able to determine theoretical and experimental (from given data) probabilities; MAKE PREDICTIONS and DRAW INFERENCES from probabilities; COMPARE theoretical and experimental probabilities and DETERMINE probabilities involving replacement and non-replacement.
Strand Bloom's Scope Hours Source Activities
Probability   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.12, 2.13; Kentucky Program of Studies (2006) DAP-U-6, DAP-S-P1, DAP-S-P5, DAP-S-P6, DAP-S-P10, DAP-S-P12, DAP-S-P13 Classroom
  
4.4.2 (Supporting)
The learner will be able to recognize and identify the differences between combinations and permutations and use them to count discrete quantities.
Strand Bloom's Scope Hours Source Activities
Probability   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
4.4.3 (Supporting)
The learner will be able to represent probabilities in multiple ways, such as fractions, decimals, percentages and geometric area models.
Strand Bloom's Scope Hours Source Activities
Probability   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
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Algebraic Thinking (35%)

5.1.1 (DOK 2) ASSESSED
The learner will be able to identify multiple representations (tables, graphs, equations) of functions (linear, quadratic, absolute value, exponential) in real-world or mathematical problems.
Strand Bloom's Scope Hours Source Activities
Patterns, Relations and Functions   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006); American College Test (ACT) Objective 91 Classroom
  
5.1.2 (Supporting)
The learner will be able to identify, RELATE and APPLY representations (graphs, equations, tables) of a piecewise function (such as long distance telephone rates) from mathematical or real-world information.
Strand Bloom's Scope Hours Source Activities
Patterns, Relations and Functions   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
5.1.3 (Supporting)
The learner will be able to demonstrate how equations and graphs are models of the relationship between two real-world quantities (e.g., the relationship between degrees Celsius and degrees Fahrenheit.).
Strand Bloom's Scope Hours Source Activities
Patterns, Relations and Functions   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
5.1.4 (Supporting)
The learner will be able to recognize and solve problems that can be modeled using an exponential function, such as compound interest problems.
Strand Bloom's Scope Hours Source Activities
Patterns, Relations and Functions   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
5.1.5 (DOK 2) ASSESSED
The learner will be able to determine if a relation is a function; DETERMINE the domain and range of a function (linear and quadratic); DETERMINE the slope and intercepts of a linear function; DETERMINE the maximum, minimum, and intercepts (roots/zeros) of a quadratic function and EVALUATE a function written in function notation for a specified rational number.
Strand Bloom's Scope Hours Source Activities
Patterns, Relations and Functions   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.11, 2.12; Kentucky Program of Studies (2006) AT-U-2, AT-S-PRF2, AT-S-PRF6, AT-S-PRF9, AT-S-PRF11; AT-U-5, AT-S-PRF10, AT-S-EI10, AT-S-EI11; American College Test (ACT) Objectives 7, 9, 17, 91 Classroom
  
5.1.6 (Supporting)
The learner will be able to find the domain and range for absolute value functions.
Strand Bloom's Scope Hours Source Activities
Patterns, Relations and Functions   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
5.1.8 (DOK 2) ASSESSED
The learner will be able to identify the changes and explain how changes in parameters affect graphs of functions (linear, quadratic, absolute value, exponential) (e.g., compare y = x , y = 2x , y = (x - 4) , and y = x + 3).
Strand Bloom's Scope Hours Source Activities
Patterns, Relations and Functions Knowledge Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
5.2.1 (DOK 1) ASSESSED
The learner will be able to apply order of operations, real number properties (identity, inverse, commutative, associative, distributive, closure) and rules of exponents (integer) to simplify algebraic expressions.
Strand Bloom's Scope Hours Source Activities
Variables, Expressions, and Operations   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Academic Expectations 1.5, 1.6, 1.7, 1.8, 1.9, 1.16, 2.7, 2.8, 2.11, 2.12; Kentucky Program of Studies (2006) AT-U-3, AT-S-VEO5; American College Test (ACT) Objectives 20, 21, 22, 23, 80, 86 Classroom
  
5.2.2 (Supporting)
The learner will be able to evaluate polynomial and rational expressions and expressions containing radicals and absolute values at specified values of their variables.
Strand Bloom's Scope Hours Source Activities
Variables, Expressions, and Operations   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
5.2.3 (DOK 2) ASSESSED
The learner will be able to add, subtract and multiply polynomial expressions; factor polynomial expressions using the greatest common monomial factor and factor quadratic polynomials of the form ax + bx + c, when a = 1 and b and c are integers.
Strand Bloom's Scope Hours Source Activities
Variables, Expressions, and Operations   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006); American College Test (ACT) Objective 26, 27, 28, 29 Classroom
  
5.2.4 (Supporting)
The learner will be able to factor quadratic polynomials, such as perfect square trinomials and quadratic polynomials of the form ax + bx +c when a = 1 and b and c are integers.
Strand Bloom's Scope Hours Source Activities
Variables, Expressions, and Operations   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
5.2.5 (DOK 1) ASSESSED
The learner will be able to add, subtract, multiply and divide simple rational expressions with monomial first-degree denominators and integer numerators (e.g 3/5x + 4/3y ; 9/2a - -7/4b ; 3/-5x x -4/7y; 5/2c 9/-11d), and will express the results in simplified form.
Strand Bloom's Scope Hours Source Activities
Variables, Expressions, and Operations   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
5.3.1 (DOK 2) ASSESSED
The learner will be able to model, solve and graph first degree, single variable equations and inequalities, including value, based in real-world and mathematical problems and graph the solutions on a number line.
Strand Bloom's Scope Hours Source Activities
Equations and Inequalities   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006); American College Test (ACT) Objectives 2, 3, 11, 15, 25 Classroom
  
5.3.2 (Supporting)
The learner will be able to solve for a specified variable in a multivariable equation.
Strand Bloom's Scope Hours Source Activities
Equations and Inequalities   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
5.3.3 (DOK 2) ASSESSED
The learner will be able to model, SOLVE and GRAPH first degree, two-variable equations and inequalities in real-world and mathematical problems.
Strand Bloom's Scope Hours Source Activities
Equations and Inequalities   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
5.3.4 (DOK 3) ASSESSED
The learner will be able to model, SOLVE, and GRAPH systems of two linear equations in real-world and mathematical problems.
Strand Bloom's Scope Hours Source Activities
Equations and Inequalities   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
5.3.5 (Supporting)
The learner will be able to write, GRAPH, and SOLVE systems of two linear inequalities based on real-world or mathematical problems and interpret the solution.
Strand Bloom's Scope Hours Source Activities
Equations and Inequalities   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
5.3.6 (DOK 2) ASSESSED
The learner will be able to model, SOLVE, and GRAPH quadratic equations in real-world and mathematical problems.
Strand Bloom's Scope Hours Source Activities
Equations and Inequalities   Master 1.0 Kentucky Core Content for Assessment (Version 4.1); Kentucky Program of Studies (2006)Version 4.1); Kentucky Program of Studies (2006) Classroom
  
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