Mathematics AP Calculus

OKCPS
OCPS ACADEMIC STANDARDS

Mathematics - AP Calculus

Mathematics

The Priority Academic Student Skills (PASS) set forth the basic skills for Oklahoma students. These skills are meant to be used by educators in developing mathematics curriculum appropriate to the needs of their students.

The Process Standards are benchmarked standards. For first through fifth grades, the process standards are included in only the fifth grade curriculum; for sixth through eighth grade, the process standards are included in only the eighth grade curriculum; and for the high school courses, the process standards are included in the curriculum for each course.

The primary goal of the Mathematics tests in the Iowa Tests of Basic Skills (ITBS), Form M is "to measure students' ability to reason and think mathematically."

The Stanford Achievement Test, Ninth Edition (SAT-9) contains two subtests for Mathematics levels Primary 1 through Advanced 2. At the SESAT and Task levels, only one subtest of Mathematics is included.

The Oklahoma Core Curriculum Test (P.A.S.S. Exam) for mathematics offers descriptors of student performance levels for grade 5, grade 8, and Algebra I.

The Mathematics section of the ACT contains sixty multiple-choice questions:
    * Twenty-four questions dealing with pre-algebra and elementary algebra
    * Eighteen questions dealing with intermediate algebra and coordinate geometry
    * Fourteen questions dealing with plane geometry
    * Four questions dealing with trigonometry

Geometry

1.1 Symmetry: Apply
The learner will be able to apply symmetry to study mathematical scenarios.

Strand	Bloom's	Scope	Hours	Source
Symmetry	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.2 Solids: Study/Characteristics
The learner will be able to study the characteristics of three-dimensional solids.

Strand	Bloom's	Scope	Hours	Source
Three-Dimensional Solids	Comprehension	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.3 Solids: Study/Properties
The learner will be able to study the properties of three-dimensional solids.

Strand	Bloom's	Scope	Hours	Source
Three-Dimensional Solids	Comprehension	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.4 Shapes: Study/Characteristics
The learner will be able to study the characteristics of two-dimensional shapes.

Strand	Bloom's	Scope	Hours	Source
Two-Dimensional Shapes	Comprehension	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.5 Shapes: Study /Properties
The learner will be able to study the properties of two-dimensional shapes.

Strand	Bloom's	Scope	Hours	Source
Two-Dimensional Shapes	Comprehension	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.6 Reasoning: Spatial
The learner will be able to use spatial reasoning to solve problems.

Strand	Bloom's	Scope	Hours	Source
Spatial Relationships	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.7 Problem Solving: Geometric Models
The learner will be able to obtain solutions to problem situations with geometric models.

Strand	Bloom's	Scope	Hours	Source
Geometric Models	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.8 Spatial Thinking: Problem Solving
The learner will be able to obtain solutions to problems using spatial visualization.

Strand	Bloom's	Scope	Hours	Source
Spatial Thinking	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.9 Two-/Three-Dimensional: Study
The learner will be able to study properties and identify the characteristics of two-and three-dimensional objects.

Strand	Bloom's	Scope	Hours	Source
Properties of Figures	Comprehension	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.10 Two-/Three-Dimensional: Relation
The learner will be able to investigate relationships, including congruence and similarity, among classes of two- and three- dimensional objects, formulate and test conjectures about them, and obtain solutions to problems involving them.

Strand	Bloom's	Scope	Hours	Source
Properties of Figures	Application, Evaluation	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.11 Two-/Three- Dimensional: Draw
The learner will be able to draw and create representations of two- and three- dimensional geometric objects using many different tools.

Strand	Bloom's	Scope	Hours	Source
Draw/Create	Synthesis	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.12 Three-Dimensional: Visualize
The learner will be able to visualize three-dimensional objects from various perspectives and study their cross sections.

Strand	Bloom's	Scope	Hours	Source
Various Perspectives	Comprehension	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.13 Transformations: Apply/Represent
The learner will be able to apply different representations to aide in the comprehension of the effects of simple transformations and their compositions.

Strand	Bloom's	Scope	Hours	Source
Transformation	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.14 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
Transformation	Comprehension	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.15 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
Geometric Concepts	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.16 Proofs/Theorems: Establish
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
Geometric Proofs/Theorems	Evaluation	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.17 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
Spatial Relationships	Comprehension, Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

1.18 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
Geometric Models	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

Measurement

2.1 Measurement Analysis: Apply/Units
The learner will be able to apply unit analysis to check computations in measurement.

Strand	Bloom's	Scope	Hours	Source
Units	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

2.2 Accuracy: Study/Error
The learner will be able to study approximate error in measurement scenarios.

Strand	Bloom's	Scope	Hours	Source
Measurement: Application	Comprehension	Master	1.0	National Council of Teachers of Mathematics (NCTM)

2.3 Tools: Use/Determine Measures
The learner will be able to use various tools for determining measurements.

Strand	Bloom's	Scope	Hours	Source
Tools/Instruments	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

Numeration

4.1 Change: Analyze/Contexts
The learner will be able to analyze change in many different contexts.

Strand	Bloom's	Scope	Hours	Source
Change	Analysis	Master	1.0	National Council of Teachers of Mathematics (NCTM)

Algebraic Concepts

8.1 Algebraic Concepts: Apply Concepts
The learner will be able to apply algebraic symbolism as a tool to describe mathematical relationships.

Strand	Bloom's	Scope	Hours	Source
Algebraic Concepts	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

8.2 Computations: Assess/Reasonableness
The learner will be able to assess the reasonableness of the results of numerical computations.

Strand	Bloom's	Scope	Hours	Source
Computation	Evaluation	Master	1.0	National Council of Teachers of Mathematics (NCTM)

Functions

9.1 Exploring: Study/One Variable
The learner will be able to study functions of one variable by exploring rates of change, intercepts, zeros, asymptotes, and local and global behavior.

Strand	Bloom's	Scope	Hours	Source
Functional Relationships	Comprehension	Master	1.0	National Council of Teachers of Mathematics (NCTM)

9.2 Relations: Comprehend
The learner will be able to comprehend relations.

Strand	Bloom's	Scope	Hours	Source
Relations	Comprehension	Master	1.0	National Council of Teachers of Mathematics (NCTM)

Problem Solving

10.1 Strategies: Adapt/Strategies
The learner will be able to adapt many different appropriate strategies in order to obtain problem solutions.

Strand	Bloom's	Scope	Hours	Source
Problem Solving	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

10.2 Strategies: Applying Variety
The learner will be able to apply a variety of strategies to obtain problem solutions.

Strand	Bloom's	Scope	Hours	Source
Problem Solving	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

10.3 Problem Solving: Mathematics
The learner will be able to solve mathematical problems.

Strand	Bloom's	Scope	Hours	Source
Problem Solving	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

10.4 Problem Solving: Representations
The learner will be able to choose, use, and translate among mathematical representation to obtain solutions to problems.

Strand	Bloom's	Scope	Hours	Source
Solution	Comprehension, Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

Mathematics Processes

16.1 Mathematical Connections: Identify
The learner will be able to identify connections among mathematical concepts.

Strand	Bloom's	Scope	Hours	Source
Connections	Knowledge	Master	1.0	National Council of Teachers of Mathematics (NCTM)

16.2 Mathematical Connections: Apply
The learner will be able to apply connections among mathematical concepts.

Strand	Bloom's	Scope	Hours	Source
Connections	Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

Calculus and Pre-Calculus

17.1 Limits
The learner will be able to comprehend limit processes and continuity. Calculate limits using algebra, graphs or tables.

Strand	Bloom's	Scope	Hours	Source
Limits	Comprehension, Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

17.2 Differentiation
The learner will be able to comprehend first and second derivatives and their applications. Compute both algebraically and with a graphing calculator.

Strand	Bloom's	Scope	Hours	Source
Differentiation	Comprehension, Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)

17.3 Integration
The learner will be able to comprehend definite and indefinite integrals and their applications, including numerical approximations. Compute both algebraically and with a graphing calculator.

Strand	Bloom's	Scope	Hours	Source
Integration	Comprehension, Application	Master	1.0	National Council of Teachers of Mathematics (NCTM)