OKCPS
OCPS ACADEMIC STANDARDS

Mathematics - Pre-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 Transformations: Apply
The learner will be able to apply transformations to study mathematical situations.
Strand Bloom's Scope Hours Source
Transformation Analysis Master 1.0 NCTM
  
    1.2 Symmetry: Apply
The learner will be able to apply symmetry to study mathematical scenarios.
Strand Bloom's Scope Hours Source
Symmetry Analysis Master 1.0 NCTM
  
    1.3 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
Figures: Two-/Three-Dimensional Comprehension, Application Master 1.0 NCTM
  
    1.4 Two/Three-Dimensional: Draw/Create
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
Figures: Two-/Three-Dimensional Synthesis Master 1.0 NCTM
  
    1.5 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
Three-Dimensional Solids Analysis Master 1.0 NCTM
  
    1.6 Transformations: Apply/Represent
The learner will be able to apply different representations to aide in the understanding of the effects of simple transformations and their compositions.
Strand Bloom's Scope Hours Source
Transformation Application Master 1.0 NCTM
  
    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
Transformation Comprehension Master 1.0 NCTM
  
    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
Geometric Concepts Application Master 1.0 NCTM
  
    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
Problem Solving Evaluation Master 1.0 NCTM
  
    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
Relationships Comprehension, Application Master 1.0 NCTM
  
    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
Geometric Models Analysis Master 1.0 NCTM
  

Measurement

    2.1 Formulas: Use/Determine Measures
The learner will be able to use various formulas to determine measurements.
Strand Bloom's Scope Hours Source
Formulas Application Master 1.0 NCTM
  
    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
Measurement: Relationships Comprehension Master 1.0 NCTM
  
    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
Measurement Concepts Application Master 1.0 NCTM
  
    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
Formulas Application Master 1.0 NCTM
  
    2.5 Formulas: Use/Determine Measures
The learner will be able to use various formulas to determine measurements.
Strand Bloom's Scope Hours Source
Formulas Application Master 1.0 NCTM
  

Number Theory

    3.1 Equivalent Forms: Comprehend
The learner will be able to comprehend the meaning of equivalent forms of expressions, equations, inequalities, and relations.
Strand Bloom's Scope Hours Source
Equivalent Forms Comprehension Master 1.0 NCTM
  
    3.2 Number Forms: Comprehend
The learner will be able to comprehend number relationships.
Strand Bloom's Scope Hours Source
Number Forms: Relationships Comprehension, Application Master 1.0 NCTM
  
    3.3 Number Forms: Represent
The learner will be able to comprehend the various ways of representing numbers.
Strand Bloom's Scope Hours Source
Number Forms: Representing Comprehension Master 1.0 NCTM
  
    3.4 Number Systems: Comprehend
The learner will be able to comprehend number systems.
Strand Bloom's Scope Hours Source
Number Systems Comprehension Master 1.0 NCTM
  
    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
Problem Solving Application, Synthesis Master 1.0 NCTM
  
    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
Number Size Comprehension Master 1.0 NCTM
  
    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
Situations Analysis Master 1.0 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 NCTM
  
    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
Quantity Evaluation Master 1.0 NCTM
  
    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
Comparison Evaluation Reinforce 1.0 NCTM
  
    4.4 Change: Analyze/Context
The learner will be able to analyze change in many different contexts.
Strand Bloom's Scope Hours Source
Change Analysis Reinforce 1.0 NCTM
  

Algebraic Concepts

    8.1 Algebraic Concepts: Apply/SymbolisM
The learner will be able to apply algebraic symbolism as a tool to describe and represent mathematical relationships.
Strand Bloom's Scope Hours Source
Symbols Application Master 1.0 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 NCTM
  
    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
Rates Evaluation Master 1.0 NCTM
  
    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
Symbols Evaluation Master 1.0 NCTM
  

Functions

    9.1 Exploring: One Variable Function
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
Functions Application Master 1.0 NCTM
  
    9.2 Relations: Comprehend
The learner will be able to comprehend relations.
Strand Bloom's Scope Hours Source
Relations Comprehension Master 1.0 NCTM
  
    9.3 Functions: Comprehend
The learner will be able to comprehend functions.
Strand Bloom's Scope Hours Source
Functions Comprehension Master 1.0 NCTM
  
    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
Representations of Functions Application Master 1.0 NCTM
  
    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
Functions/Relations Application Master 1.0 NCTM
  
    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
Functions Evaluation Master 1.0 NCTM
  
    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
Transformation Application Master 1.0 NCTM
  
    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
Functions Application Master 1.0 NCTM
  
    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
Functions Knowledge Master 1.0 NCTM
  

Problem Solving

    10.1 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
Problem Solving Application Master 1.0 NCTM
  

Real Numbers and the Coordinate Plane

    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
Coordinate Geometry Master 1.0 NCTM
  

Mathematics Processes

    16.1 Reasoning: Choose/Strategies
The learner will be able to choose various types of reasoning strategies.
Strand Bloom's Scope Hours Source
Reasoning Application Master 1.0 NCTM
  
    16.2 Reasoning: Use/Strategies
The learner will be able to use many different reasoning strategies.
Strand Bloom's Scope Hours Source
Reasoning Application Master 1.0 NCTM
  
    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
Mathematical Concepts Comprehension, Synthesis Master 1.0 NCTM
  
    16.4 Math Concepts: Organize
The learner will be able to integrate their mathematical thought processes through communication.
Strand Bloom's Scope Hours Source
Mathematical Concepts Synthesis Master 1.0 NCTM
  
    16.5 Reasoning: Argument/Proof
The learner will be able to create and evaluate mathematical arguments and proofs.
Strand Bloom's Scope Hours Source
Conjecture/Argument Evaluation Master 1.0 NCTM
  
    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
Mathematical Concepts Application Master 1.0 NCTM
  

Calculus and Pre-Calculus

    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
Complex Numbers Analysis Master 1.0 NCTM
  
    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
Vectors Comprehension Master 1.0 NCTM
  

Trigonometry

    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
Trigonometric Identities Application Master 1.0 NCTM
  
    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
Trigonometric Concepts Knowledge, Analysis Master 1.0 NCTM
  
    18.3 Concepts: Find/Length
The learner will be able to apply trigonometric relationships to find lengths.
Strand Bloom's Scope Hours Source
Trigonometric Concepts Application Master 1.0 NCTM
  
    18.4 Concepts: Find/Angle
The learner will be able to apply trigonometric relationships to find angle measures.
Strand Bloom's Scope Hours Source
Trigonometric Concepts Application Master 1.0 NCTM
  

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