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Morgan County School District |
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Morgan County Curriculum 4.1 Middle Sch. |
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Mathematics - Algebra I |
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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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1.1.3 (Supporting)
The learner will be able to
use scientific notation to express very large or very small quantities.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Number Sense |
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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 18. 72, 74 |
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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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 |
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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-2, NPO-S-PNO1; American College Test (ACT) Objectives 14, 73, 85 |
Classroom
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1.5.2 (Supporting)
The learner will be able to
use equivalence relations (reflexive, symmetric, transitive).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Properties of Numbers and Operations |
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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-2, NPO-S-PNO2 |
Classroom
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2.2.1 (Supporting)
The learner will be able to
continue to APPLY to both real-world and mathematical problems U.S. customary and metric systems of measurements.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Systems of Measurements |
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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-S-SM1, SM2, SM3 |
Classroom
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3.2.1 (DOK 3) ASSESSED
The learner will be able to
identify and DESCRIBE properties of and APPLY geometric transformations within a plane to solve real-world and mathematical problems.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Transformations of Shapes |
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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-3, G-S-TS1 |
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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4.1.1 (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 |
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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 83, 84 |
Classroom
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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 |
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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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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 |
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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. 2.13; Kentucky Program of Studies (2006) NPO-U-1 |
Classroom
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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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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 |
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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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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 |
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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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4.3.2 (Supporting)
The learner will be able to
design simple experiments or investigations to collect data to answer questions of interest.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Experiments and Samples |
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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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4.3.3 (Supporting)
The learner will be able to
explain the differences between randomized experiments and observational studies.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Experiments and Samples |
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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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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 |
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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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5.1.1 (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 |
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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 91 |
Classroom
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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 |
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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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5.1.7 (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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5.2.1 (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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5.3.1 (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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5.3.2 (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 |
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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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5.3.3 (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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5.3.4 (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 |
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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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5.3.5 (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 |
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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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