|
|
|
Morgan County School District |
|
Morgan County Curriculum 4.1 High School |
|
Mathematics - Geometry |
|
|
|
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
|
|
1.2.1 (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
|
|
1.4.1 (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
|
|
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 |
|
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
|
|
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 |
|
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
|
|
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 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 |
|
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 (ADP, 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
|
|
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 |
|
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
|
|
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
|
|
3.1.2 (ADP, Supporting)
The learner will be able to
use spatial relationships to prove basic theorems.
| 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 |
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
|
|
3.1.4 (ADP, Supporting)
The learner will be able to
use angle relationships to prove basic theorems.
| 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 |
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) Objectives 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
|
|
3.1.7 (DOK 2) ASSESSED
The learner will be able to
solve real-world and mathematical problems by APPLYING properties of triangles (e.g., Triangle Sum theorem and Isosceles Triangle theorems).
| 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; American Colllege Test (ACT) Objective 53, 54, 66 |
Classroom
|
|
3.1.8 (ADP, Supporting)
The learner will be able to
use the properties of triangles to prove basic theorems.
| 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-SR4; American Colllege Test (ACT) Objective 55, 56 |
Classroom
|
|
3.1.9 (DOK 2) ASSESSED
The learner will be able to
classify and APPLY properties of three-dimensional geometric figures.
| 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; American Colllege Test (ACT) Objective 53, 54, 66 |
Classroom
|
|
3.1.10 (Supporting)
The learner will be able to
describe the intersection of a plane with a three-dimensional figure.
| 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-SR8 |
Classroom
|
|
3.1.11 (ADP, Supporting)
The learner will be able to
visualize solids and surfaces in three-dimensional space when given two-dimensional representations (e.g., nets, multiple views) and CREATE two-dimensional representations for the surfaces of three-dimensional objects.
| 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-5, G-S-SR10, G-S-SR11 |
Classroom
|
|
3.1.12 (DOK 3) ASSESSED
The learner will be able to
apply the concepts of congruence and similarity to SOLVE 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-4, G-S-SR4 |
Classroom
|
|
3.1.13 (ADP, Supporting)
The learner will be able to
prove triangles congruent and similar.
| 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-4; American College Test (ACT) Objectives 57, 63 |
Classroom
|
|
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 |
|
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
|
|
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
|
|
3.4.1 (ADP, Supporting)
The learner will be able to
identify definitions, axioms and theorems, EXPLAIN the necessity for them and of and GIVE EXAMPLES of them.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Foundational Statements |
|
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-CG1, G-S-FS1 |
Classroom
|
|
3.4.2 (ADP, Supporting)
The learner will be able to
recognize that there are geometries, other than Euclidean geometry, in which the parallel postulate is not true.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Foundational Statements |
|
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-S-FS2 |
Classroom
|
|
3.4.3 (Supporting)
The learner will be able to
be ABLE TO perform constructions such as a line parallel to a given line through a point not on the line, the perpendicular bisector of a line and the bisector of an angle.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Foundational Statements |
|
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-5, G-S-FS4 |
Classroom
|
|
|
Data Analysis and Probability (15%)
|
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
|
|
4.4.1 (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
|
|
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
|
|
5.2.1 (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
|
|
|
