OKCPS
OCPS ACADEMIC STANDARDS

Mathematics - Algebra I

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

Algebra I

The Oklahoma PASS provides learning goals for mathematics that students must meet by the end of Algebra I. The Oklahoma Core Curriculum Test (P.A.S.S. Exam) for mathematics offers descriptors of student performance levels for students in Algebra I. The American College Test (ACT) is typically given to students in the later years of high school prior to applying to colleges.


Geometry
The Geometry Unit includes Competencies/Objectives which focus on exploring geometric concepts from multiple perspectives. Students study properties and construction of figures, proofs and theorems, history of geometry, transformations, logic, and problem solving.

    1.1 Connecting: Geometry/Algebra
The learner will be able to use the formulas from measurable attributes of geometric models (perimeter, circumference, area and volume), science, and statistics to solve problems within an algebraic context.
Strand Bloom's Scope Hours Source
Connecting Application Master OK: PASS Standard 2.8a; PASS Exam
  

Probability/Statistics
The Probability/Statistics Unit includes Competencies/Objectives which focus on data analysis and probability concepts. Students collect, analyze, and make sense of real world data (including overlapping data, inconclusive data, etc.).

    6.1 Data: Gather/Scatter Plot
The learner will be able to collect data involving two variables and display on a scatter plot; interpret results using a linear model/equation and identify whether the model/equation is a line best fit for the data (e.g., given a scatter plot and several linear equations, which one is the best fit?).
Strand Bloom's Scope Hours Source
Data Evaluation Master OK: PASS Standard 3.2; PASS Exam
  
    6.2 Data: Translate/Representations
The learner will be able to translate from one representation of data to another and understand that the data can be represented using a variety of tables, graphs, or symbols and that various models of representation often convey different messages.
Strand Bloom's Scope Hours Source
Data Synthesis Master OK: PASS Standard 3.1a; PASS Exam
  
    6.3 Data Analysis: Infer/Predict/Argue
The learner will be able to make valid inferences, predictions, and/or arguments based on data illustrated in graphs, tables, and charts.
Strand Bloom's Scope Hours Source
Data Analysis Evaluation Master OK: PASS Standard 3.1b; PASS Exam
  

Algebraic Concepts

    8.1 Equations: Translate
The learner will be able to translate word phrases and sentences into expressions and equations and vice versa.
Strand Bloom's Scope Hours Source
Equations Application Master 1.0 OK: PASS Standard 1.1; PASS Exam
  
    8.2 Expressions: Law of Exponents
The learner will be able to use the laws of exponents to perform operations on expressions with integer exponents.
Strand Bloom's Scope Hours Source
Expressions Application Master 2.0 OK: PASS Standard 1.2a; PASS Exam
  
    8.3 Polynomials: Add/Subtract/Multiply
The learner will be able to simplify polynomials by adding, subtracting or multiplying.
Strand Bloom's Scope Hours Source
Polynomials Application Master 1.0 OK: PASS Standard 1.2c; PASS Exam
  
    8.4 Multiple-Step Problems: Solve
The learner will be able to solve two-step and three-step problems using concepts such as rules of exponents, probability, rate, distance, ratio and proportion, measure of central tendency and percent.
Strand Bloom's Scope Hours Source
Multiple-step Problems Application Master OK: PASS Standard 2.8b; PASS Exam
  
    8.5 Linear System of Equations: Solve
The learner will be able to solve a system of linear equations by graphing, substitution, or elimination.
Strand Bloom's Scope Hours Source
Linear Systems of Equations Application Master 1.0 OK: PASS Standard 2.7; PASS Exam
  
    8.6 Absolute Value: Evaluate
The learner will be able to simplify and evaluate linear, absolute value, rational and radical expressions.
Strand Bloom's Scope Hours Source
Absolute Value Analysis, Evaluation Master 2.0 OK: PASS Standard 1.2b; PASS Exam
  

Functions

    9.1 Functions: Identify/Parent Graph
The learner will be able to recognize the parent graph of the functions y = k, y = x and y = |x|, and predict the effects of transformations on the parent graph (e.g., y=[x]+2, change slope, change intercepts, change slope and intercept).
Strand Bloom's Scope Hours Source
Functions Application Master OK: PASS Standard 2.2; PASS Exam
  
    9.2 Dependent/Independent: Domain/Range
The learner will be able to identify dependent and independent variables, domain and range.
Strand Bloom's Scope Hours Source
Functions/Relations Knowledge Master 1.0 OK: PASS Standard 2.1c; PASS Exam
  
    9.3 Functions/Relations: Differentiate
The learner will be able to distinguish between relations and functions.
Strand Bloom's Scope Hours Source
Functions/Relations Analysis Master 0.5 OK: PASS Standard 2.1b; PASS Exam
  
    9.4 Functions: Evaluate/Table/Graphs
The learner will be able to evaluate a function using tables, equations, or graphs.
Strand Bloom's Scope Hours Source
Functions Evaluation Master 2.0 OK: PASS Standard 2.1d; PASS Exam
  
    9.5 Functions: Linear/Nonlinear
The learner will be able to distinguish between linear and nonlinear data.
Strand Bloom's Scope Hours Source
Algebraic Functions Analysis Master 1.0 OK: PASS Standard 2.1a; PASS Exam
  

Real Numbers and the Coordinate Plane

    13.1 Linear Equations: Write/Graph
The learner will be able to develop the equation of a line and graph linear relationships given the slope and one point on the line.
Strand Bloom's Scope Hours Source
Linear Equations Synthesis Master OK: PASS Standard 2.4b; PASS Exam
  
    13.2 Linear Equations: Write/Graph/Data
The learner will be able to develop the equation of a line and graph linear relationships given a set of data points.
Strand Bloom's Scope Hours Source
Linear Equations Synthesis Master OK: PASS Standard 2.4e; PASS Exam
  
    13.3 Linear Equations: Write/Graph
The learner will be able to develop the equation of a line and graph linear relationships given two points on the line.
Strand Bloom's Scope Hours Source
Linear Equations Synthesis Master OK: PASS Standard 2.4c; PASS Exam
  
    13.4 Linear Equations: Write/Graph
The learner will be able to develop the equation of a line and graph linear relationships given the slope and y-intercept.
Strand Bloom's Scope Hours Source
Linear Equations Synthesis Master OK: PASS Standard 2.4a; PASS Exam
  
    13.5 Slope: Calculate
The learner will be able to calculate the slope of a line using a graph, an equation, two points or a set of data points.
Strand Bloom's Scope Hours Source
Slope Application Master 0.5 OK: PASS Standard 2.3; PASS Exam
  
    13.6 Slope: Differentiate
The learner will be able to use the slope to differentiate between lines that are parallel, perpendicular, horizontal, or vertical.
Strand Bloom's Scope Hours Source
Slope Application Master 0.5 OK: PASS Standard 2.5a; PASS Exam
  
    13.7 Slope: Interpret/Real World
The learner will be able to interpret the slope and intercepts within the context of everyday life (e.g., telephone charges based on base rate (y-intercept) plus rate per minute (slope)).
Strand Bloom's Scope Hours Source
Slope Evaluation Master 1.0 OK: PASS Standard 2.5b; PASS Exam
  
    13.8 Linear Equations: Solve
The learner will be able to solve linear equations by graphing or using properties of equality.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 1.0 OK: PASS Standard 2.6a; PASS Exam
  
    13.9 Linear Equations: Intercepts
The learner will be able to develop the equation of a line and graph linear relationships given the x-intercept and y-intercept.
Strand Bloom's Scope Hours Source
Linear Equations Synthesis Master 0.5 OK: PASS Standard 2.4d; PASS Exam
  
    13.10 Equations/Inequalities: Match
The learner will be able to match appropriate equations or inequalities (with 1 or 2 variables) to a graph, table, or situation and vice versa.
Strand Bloom's Scope Hours Source
Linear Equations/Inequalities Knowledge Master 1.0 OK: PASS Standard 2.6c; PASS Exam
  
    13.11 Linear Inequalities: Solve
The learner will be able to solve linear inequalities by graphing or using properties of inequalities.
Strand Bloom's Scope Hours Source
Linear Inequalities Application Master 1.0 OK: PASS Standard 2.6b; PASS Exam
  

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