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OKCPS |
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OCPS ACADEMIC STANDARDS |
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Mathematics - Pre-Calculus: Second Semester |
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1.7 Transformations: Comprehend
The learner will be able to
comprehend and illustrate translations, reflections, rotations, and dilations of objects in the plane by applying sketches, coordinates, vectors, function notation, and matrices.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Transformation |
Comprehension |
Master |
1.0 |
NCTM |
Classroom
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1.8 Geometric Concepts: Apply
The learner will be able to
apply geometric concepts to obtain solutions to problems in, and gain insights into, other content areas and other areas of interest.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Geometric Concepts |
Application |
Master |
1.0 |
NCTM |
Classroom
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1.9 Proofs/Theorems: Establish/Validity
The learner will be able to
establish the validity of geometric conjectures by applying deduction, prove theorems, and judge arguments made by others.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Problem Solving |
Evaluation |
Master |
1.0 |
NCTM |
Classroom
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1.10 Spatial Relationships: Location
The learner will be able to
specify locations and explain spatial relationships by applying coordinate geometry and various other representational systems.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Relationships |
Comprehension, Application |
Master |
1.0 |
NCTM |
Classroom
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1.11 Geometric Models: Apply
The learner will be able to
apply geometric models in order to gain insights into, and answer questions in, other topics in mathematics.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Geometric Models |
Analysis |
Master |
1.0 |
NCTM |
Classroom
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2.2 Measurement Processes: Comprehend
The learner will be able to
comprehend the measurable characteristics of objects and units, systems, and processes of measurement.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Measurement: Relationships |
Comprehension |
Master |
1.0 |
NCTM |
Classroom
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2.3 Measurement: Apply/Ideas
The learner will be able to
use informal ideas of successive approximation, upper and lower bounds, and limit in measurement scenarios.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Measurement Concepts |
Application |
Master |
1.0 |
NCTM |
Classroom
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2.4 Formulas: Comprehend/Apply
The learner will be able to
comprehend and apply formulas for the area, surface area, and volume of figures, including cylinders, spheres, and cones.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Formulas |
Application |
Master |
1.0 |
NCTM |
Classroom
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2.5 Formulas: Use/Determine Measures
The learner will be able to
use various formulas to determine measurements.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Formulas |
Application |
Master |
1.0 |
NCTM |
Classroom
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3.5 Equivalent Forms: Write
The learner will be able to
write equivalent forms of equations, inequalities, and systems of equations and obtain solutions for them with fluency by applying mental math or paper and pencil in simple scenarios and by applying technology in all scenarios.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Problem Solving |
Application, Synthesis |
Master |
1.0 |
NCTM |
Classroom
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3.6 Number Size: Comprehend
The learner will be able to
build a deeper comprehension of very large and very small numbers and different representations of them.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Number Size |
Comprehension |
Master |
1.0 |
NCTM |
Classroom
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3.7 Math Structures: Illustrate/Analyz
The learner will be able to
illustrate and analyze mathematical situations and structures by applying algebraic symbols.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Situations |
Analysis |
Master |
1.0 |
NCTM |
Classroom
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4.1 Change: Analyze/Contexts
The learner will be able to
analyze change in many different contexts.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Change |
Analysis |
Master |
1.0 |
NCTM |
Classroom
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4.2 Magnitude: Assess/Operations
The learner will be able to
assess the effects of operations on the magnitudes of quantities.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Quantity |
Evaluation |
Master |
1.0 |
NCTM |
Classroom
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4.3 Number Properties/Systems: Compare
The learner will be able to
make comparisons and contrast the properties of numbers and number systems, including the rational and real numbers.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Comparison |
Evaluation |
Reinforce |
1.0 |
NCTM |
Classroom
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4.4 Change: Analyze/Context
The learner will be able to
analyze change in many different contexts.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Change |
Analysis |
Reinforce |
1.0 |
NCTM |
Classroom
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8.3 Rates: Estimate/Interpret
The learner will be able to
estimate and interpret rates of change using graphical and numerical data.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Rates |
Evaluation |
Master |
1.0 |
NCTM |
Classroom
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8.4 Symbols: Manipulation
The learner will be able to
assess the meaning, usefulness, and reasonableness of the results of symbol manipulations, including those performed using technology.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Symbols |
Evaluation |
Master |
1.0 |
NCTM |
Classroom
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9.4 Function/Relation: Apply/Represent
The learner will be able to
apply many different symbolic representations, including recursive and parametric equations, for functions and relations.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Representations of Functions |
Application |
Master |
1.0 |
NCTM |
Classroom
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9.5 Functions/Relations: Comprehend
The learner will be able to
comprehend relations and functions. They will be able to choose and perform conversions and use different representations of them.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Functions/Relations |
Application |
Master |
1.0 |
NCTM |
Classroom
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9.6 Functions: Comprehend/Compare
The learner will be able to
comprehend and make comparisons of the properties of classes of functions, including exponential, polynomial, rational, logarithmic, and periodic functions.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Functions |
Evaluation |
Master |
1.0 |
NCTM |
Classroom
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9.7 Functions: Comprehend/Apply
The learner will be able to
comprehend and apply transformations (such as arithmetically combining, composing, and inverting commonly used functions) by applying technology to perform such operations on more complex symbolic expressions.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Transformation |
Application |
Master |
1.0 |
NCTM |
Classroom
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9.8 Functions: Apply/Explicit
The learner will be able to
apply explicitly and recursively defined functions in order to generalize patterns.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Functions |
Application |
Master |
1.0 |
NCTM |
Classroom
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9.9 Functional Relationships: Recognize
The learner will be able to
recognize essential quantitative relationships in a scenario and find the class or classes of functions that might model the relationships.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Functions |
Knowledge |
Master |
1.0 |
NCTM |
Classroom
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Real Numbers and the Coordinate Plane
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13.1 Coordinate Geometry: Cartesian
The learner will be able to
apply Cartesian coordinates and other coordinate systems to study geometric scenarios.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Coordinate Geometry |
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Master |
1.0 |
NCTM |
Classroom
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16.3 Mathematical Concepts: Comprehend
The learner will be able to
comprehend how mathematical concepts interconnect and build on one another to create a coherent whole.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Mathematical Concepts |
Comprehension, Synthesis |
Master |
1.0 |
NCTM |
Classroom
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16.4 Math Concepts: Organize
The learner will be able to
integrate their mathematical thought processes through communication.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Mathematical Concepts |
Synthesis |
Master |
1.0 |
NCTM |
Classroom
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16.5 Reasoning: Argument/Proof
The learner will be able to
create and evaluate mathematical arguments and proofs.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Conjecture/Argument |
Evaluation |
Master |
1.0 |
NCTM |
Classroom
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16.6 Modeling: Make
The learner will be able to
make mathematical representations for organizing, recording, and explaining mathematical concepts.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Mathematical Concepts |
Application |
Master |
1.0 |
NCTM |
Classroom
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Calculus and Pre-Calculus
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17.1 Complex Numbers: Comprehend
The learner will be able to
comprehend complex numbers as solutions to quadratic equations that do not have real solutions.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Complex Numbers |
Analysis |
Master |
1.0 |
NCTM |
Classroom
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17.2 Vectors: Real Numbers/Comprehend
The learner will be able to
comprehend vectors as systems that have some of the properties of the real number system.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Vectors |
Comprehension |
Master |
1.0 |
NCTM |
Classroom
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18.1 Identities: Deriving Phythagorean
The learner will be able to
derive the Pythagorean trigonometric identities (sine squared of an angle + cosine squared of that angle = 1).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Trigonometric Identities |
Application |
Master |
1.0 |
NCTM |
Classroom
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18.2 Ratios: Define
The learner will be able to
define the trigonometric terms sine, cosine, tangent, secant, cosecant, and cotangent.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Trigonometric Concepts |
Knowledge, Analysis |
Master |
1.0 |
NCTM |
Classroom
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18.3 Concepts: Find/Length
The learner will be able to
apply trigonometric relationships to find lengths.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Trigonometric Concepts |
Application |
Master |
1.0 |
NCTM |
Classroom
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18.4 Concepts: Find/Angle
The learner will be able to
apply trigonometric relationships to find angle measures.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Trigonometric Concepts |
Application |
Master |
1.0 |
NCTM |
Classroom
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