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Morgan County School District |
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Morgan County Curriculum 4.1 High School |
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Mathematics - Calculus |
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Number Properties and Operations (20%)
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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 |
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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
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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 |
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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
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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 |
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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
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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 |
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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
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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 |
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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
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2.1.1 (DOK 2) ASSESSED
The learner will be able to
determine the surface area and volume of right rectangular prisms, pyramids, cylinders, cones and spheres in real-world and mathematical problems.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Measuring Physical Attributes |
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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-SPA3; American Colllege Test (ACT) Objective 68 |
Classroom
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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 |
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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
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2.1.3 (DOK 3) ASSESSED
The learner will be able to
apply definitions and properties of right triangle relationships (right relationships 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 |
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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
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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 |
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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%)
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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 |
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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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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 |
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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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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 |
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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
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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 |
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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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5.1.7 (Supporting)
The learner will be able to
apply and USE direct and inverse variation to solve real-world and mathematical problems.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Patterns, Relations and Functions |
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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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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
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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 |
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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
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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 |
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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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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 |
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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
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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 |
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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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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 |
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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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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 |
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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
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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 |
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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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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 |
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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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