OKCPS
OCPS ACADEMIC STANDARDS

Mathematics - Grade 7

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

Grade 7

The Oklahoma PASS provides learning goals for mathematics that students must meet by the end of seventh grade.


Geometry

    1.1 Triangles: Classify
The learner will be able to classify triangles according to their side lengths and angle measures.
Strand Bloom's Scope Hours Source
Triangles Analysis Master 0.5 OK: PASS Standard 3.1a
  
    1.2 Quadrilaterals: Classify
The learner will be able to classify quadrilaterals based upon their sides or angles (e.g., determine whether all squares or rectangles).
Strand Bloom's Scope Hours Source
Quadrilaterals Analysis Master 1.0 OK: PASS Standard 3.1b
  
    1.3 Angles: Recognize/Compare
The learner will be able to identify and compare bisectors, interior, exterior, and vertical angles (e.g., using graph paper, software, protractors to measure angles betweeen parallel lines with a transversal).
Strand Bloom's Scope Hours Source
Angles Evaluation Master OK: PASS Standard 3.2
  
    1.4 Transformations: Recognize
The learner will be able to identify the transformation of figures (translation, rotation, and reflection) on a coordinate plane.
Strand Bloom's Scope Hours Source
Transformations Knowledge Master 1.0 OK: PASS Standard 3.3b
  
    1.5 Points: Plane/Quadrants
The learner will be able to locate points on a plane in all four quadrants.
Strand Bloom's Scope Hours Source
Planes/Points/Lines Master 1.0 OK: PASS Standard 3.3a
  

Measurement
The Measurement Unit includes Competencies/Objectives which focus on measurement concepts, applications, and analysis. Students study length, area, circumference, perimeter, volume, weight, formulas, distance, calendar, money, tools, accuracy, units, constructions, patterns, and problem solving.

    2.1 Perimeter/Area: Develop/Concepts
The learner will be able to develop the concepts of area and perimeter (e.g., use grids to estimate the area of irregular shapes).
Strand Bloom's Scope Hours Source
Perimeter/Area/Volume Synthesis Master 1.0 OK: PASS Standard 4.1a
  
    2.2 Problem Solving: Area/Perimeter
The learner will be able to apply formulas to solve problems involving perimeter (circumference) and area of polygons and circles.
Strand Bloom's Scope Hours Source
Problem Solving Application Master OK: PASS Standard 4.1b
  
    2.3 Tools: Choose/Apply
The learner will be able to choose and apply appropriate measurement tools in practical applications and make reasonable approximations of measurements in a given situation using the appropriate unit.
Strand Bloom's Scope Hours Source
Tools/Instruments Application Master OK: PASS Standard 4.2a
  
    2.4 Units: Relate/Estimations
The learner will be able to use estimates to relate customary and metric measurements to each other.
Strand Bloom's Scope Hours Source
Units Analysis Master 1.0 OK: PASS Standard 4.2b
  

Number Theory

    3.1 Ratio/Proportion: Represent
The learner will be able to represent ratios and proportions using models (e.g., similar geometric shapes, scale models).
Strand Bloom's Scope Hours Source
Ratio/Proportion Application Master 1.0 OK: PASS Standard 2.2a
  
    3.2 Ratio/Proportion/Percent: Write
The learner will be able to write equivalent ratios, estimate and solve problems using ratio, proportions, and percents including percents greater than 100 and less than one (e.g., determine missing sides of similar figures, heart rate per minute, cost per pound, pay to hours worked overtime).
Strand Bloom's Scope Hours Source
Ratio/Proportion Synthesis Master OK: PASS Standard 2.2b
  
    3.3 Multiples: Identify/Models
The learner will be able to build and recognize models of multiples to investigate squares, perfect squares and square roots (e.g., build rectangular arrays for numbers 1 to 100 and note which can be represented as squares).
Strand Bloom's Scope Hours Source
Prime/Composite Numbers Application, Evaluation Master 1.0 OK: PASS Standard 2.3b
  
    3.4 Square Roots: Approximate
The learner will be able to estimate the square root of a given number (e.g., between two consecutive integers).
Strand Bloom's Scope Hours Source
Roots/Radicals Application Master 1.0 OK: PASS Standard 2.3c
  

Numeration
The Numeration Unit includes Competencies/Objectives which focus on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships.

    4.1 Patterns: Study/Formulate
The learner will be able to analyze and develop generalizations of exponential patterns, including zero as an exponent, applying manipulatives and calculators (e.g., model getting paid a penny the first day, 2 cents the second day , 4 cents the third day...).
Strand Bloom's Scope Hours Source
Patterns Analysis, Synthesis Master OK: PASS Standard 2.3a
  

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 Probability: Predict/Compute
The learner will be able to analyze data from a sample to predict possible outcomes and compute simple probabilities as fractions, decimals, or percents (e.g., use data from lists, tree diagrams, frequency distribution tables, area models).
Strand Bloom's Scope Hours Source
Probability Application, Analysis Master OK: PASS Standard 5.1
  
    6.2 Probability: Determine
The learner will be able to determine the probability of an event involving "and", "or" or "not" (e.g., on a spinner with 1 blue, 2 red and 2 yellow sections, what is the probability of getting a red or a yellow?).
Strand Bloom's Scope Hours Source
Probability Knowledge Master 0.5 OK: PASS Standard 5.2
  

Algebraic Concepts
The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. Students explore the symbolic nature of algebraic concepts by identifying and extending patterns in algebra, by following algebraic procedures, and by proving theorems with properties.

    8.1 Properties: Identify
The learner will be able to identify and apply the commutative, associative, distributive, inverse and identity properties of addition and subtraction, multiplication and division (e.g., n+o=n, 2(x+3)=2x+6).
Strand Bloom's Scope Hours Source
Properties Knowledge, Application Master 1.0 OK: PASS Standard 1.1
  
    8.2 Linear Equations: Model/Solve
The learner will be able to model and solve one-step linear equations (e.g., use properties of equality, graph ordered pairs with paper and pencil, use graphing calculators).
Strand Bloom's Scope Hours Source
Linear Equations Application Master OK: PASS Standard 1.2
  
    8.3 Linear Equations: Simplify
The learner will be able to solve two-step linear equations (e.g., use properties of equality, graph ordered pairs with paper and pencil, use graphing calculators).
Strand Bloom's Scope Hours Source
Linear Equations Application Master 1.0 OK: PASS Standard 1.2
  

Integers
The Integers Unit includes Competencies/Objectives which focus on number sense and operations with integers. Students compare integers, perform operations with integers, convert integers to other number forms, use manipulatives to demonstrate integers, and solve problems with integers in real world contexts.

    12.1 Integers: Compare/Order
The learner will be able to compare and order positive and negative integers and describe their use in real life situations (e.g., temperature, sea level, stock market fluctuations, football yardage).
Strand Bloom's Scope Hours Source
Integers Evaluation Master OK: PASS Standard 2.1a
  
    12.2 Problem Solving: Apply/Operations
The learner will be able to use basic operations and order of operations on integers to solve problems.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.5 OK: PASS Standard 2.1b
  

Real Numbers and the Coordinate Plane

    13.1 Graphing: Recognize/Model/Linear
The learner will be able to identify situations that model linear graphs (e.g., distance traveled at a constant rate).
Strand Bloom's Scope Hours Source
Graphing Knowledge Master 0.5 OK: PASS Standard 1.3
  

Percents

    15.1 Problem Solving: Real World
The learner will be able to solve percent application problems (e.g., discounts, tax, finding the missing value of percent/part/whole).
Strand Bloom's Scope Hours Source
Problem Solving Application Master 2.0 OK: PASS Standard 2.2c
  

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