Jefferson County Schools
Jefferson County Schools

Mathematics - Algebra AB

Mathematics

The Tennessee Mathematics Framework for grades 9 through 12 includes skills for many different High School level courses, and contains the following process standards:

MATHEMATICS AS PROBLEM SOLVING

The study of mathematics must emphasize Problem Solving opportunities which require various approaches to investigate, understand, and apply mathematical concepts.
The development of each learner’s ability to solve problems is essential if he or she is to be a productive citizen. We strongly endorse the first recommendation of An Agenda for Action (NCTM, 1980): "Problem solving must be the focus of school mathematics." To develop such abilities, students need to work on problems that may take hours, days, and even weeks to solve. Some may be relatively simple exercises to be accomplished independently; some should involve small groups or an entire class working cooperatively; and some problems should also be open-ended with no single right answer.
"Mathematics as Problem Solving" emphasizes the learners’ use of a broad base of strategies to:
Investigate and understand mathematical content
Recognize and formulate problems from within and outside of mathematics
Use mathematical modeling and appropriate technology to solve a wide variety of problems, including real-world problems.
Generalize solutions and strategies, applying them to new problems
Increase confidence in their ability to use mathematics meaningfully and to become independent problem solvers.

MATHEMATICS AS COMMUNICATION

The study of mathematics must emphasize Communication by requiring opportunities to explain, conjecture, summarize, and defend one’s ideas orally, in writing, and through the use of technology.
The development of a learner’s power to think mathematically involves learning the signs, symbols, and terms of mathematics. This is best accomplished in problem situations in which students have an opportunity to read, write, and discuss ideas in which the use of the language of mathematics becomes natural. As students communicate their ideas, they learn to clarify, refine, and consolidate their answers.
"Mathematics as Communication" focuses on the learners’ development of using language and symbols to:
Reflect and clarify thinking about mathematical ideas and situations
Express mathematical ideas and relationships, orally, in writing, and with physical material, pictures, and diagrams
Understand and value the role of mathematical notation
Realize that representing, discussing, listening, writing, and reading mathematics are vital aspect of mathematics study and use
Use mathematical notation to formulate generalizations.

MATHEMATICS AS REASONING

The study of mathematics must emphasize Reasoning which requires critical thinking, logical argument, and justification of solutions, of thought processes, and of conjectures.
Making conjectures, gathering evidence, and building an argument to support such notions are fundamental to doing mathematics. In fact, a demonstration of good reasoning should be rewarded even more than the learner’s ability to find correct answers.
"Mathematics as Reasoning" concentrates on leading the learners to:
Make and test mathematical conjectures
Make, follow, and judge the value of mathematical arguments
Draw logical conclusions
Justify solution-finding processes and answers.

MATHEMATICAL CONNECTIONS

The study of mathematics must emphasize making Connections among the various topics within mathematics, between mathematics and other disciplines, and between mathematics and "real world" situations.
The mathematics curriculum is often viewed as consisting of several discrete stands; so topics tend to be taught in isolation. Unless the learners connect ideas both among and between areas of mathematics, they learn isolated skills rather than develop the ability to recognize general principles and procedures relevant to several areas. Connecting conceptual understanding to procedures will enable learners to apply, recreate, and invent new procedures when needed. Failure to connect conceptual understanding to procedures results in a view of mathematics as an arbitrary set of rules. Learners should have many opportunities to observe and work with the interaction of mathematics with other subjects and with everyday society. Problems become meaningful when they relate to the learners’ experiences. Mathematics must be integrated into contexts that give its symbols and processes practical meaning. The school environment is rich with opportunities to use mathematics in other subject areas as well as other subject area content in mathematics.
"Mathematical Connections" concentrate on enabling the learners to:
Appreciate mathematics as an integrated whole, linking conceptual and procedural knowledge within the discipline and relating multiple representations of concepts or procedures to one another.
Apply mathematical thinking and modeling to solve substantial problems that arise in other disciplines and curriculum areas, such as art, business, music, psychology, industrial arts, computer technology, social studies, and sciences, such as biology, chemistry, and physics.
Use, recognize, and value the varied roles of mathematics in their lives, cultures, and society.

The Principles and Standards for School Mathematics describe the mathematical understanding, knowledge, and skills that students should acquire from prekindergarten through grade 12.

Algebra I is the Tennessee End-of-course test that must be passed before graduation to earn a high school diploma.

Algebra AB

The Algebra I End-of-course test is given after completion of Algebra I.


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.

    Properties: Communicate/Use
The learner will be able to communicate and use algebraic properties in symbolic manipulation.
Strand Bloom's Scope Hours Source
Properties Master TN: Gateway Test, 1999, Algebra I, Std. 3,3.14 week tested: 34.
  
    Expressions: Operations/Justify
The learner will be able to perform operations on simple expressions, and informally justify the procedures selected.
Strand Bloom's Scope Hours Source
Expressions Master TN: Gateway Test, 1999, Algebra I, Std. 2,2.3 week tested: 34.
  
    Inverse: Explain/Illustrate
The learner will be able to informally explain and illustrate the concept of inverse.
Strand Bloom's Scope Hours Source
Inverse Operations Master TN: Gateway Test, 1999, Algebra I, Std. 1,1.3 week tested: 34.
  
    Algebraic Concepts: Measure/Approximate
The learner will be able to obtain solutions to problems in measurement and approximation using algebraic thought processes and symbolism.
Strand Bloom's Scope Hours Source
Algebraic Concepts Master TN: Gateway Test, 1999, Algebra I, Std. 3,3.5 week tested: 34.
  
    Linear System of Equations: Elimination
The learner will be able to apply the elimination method to obtain a solution to a system of two linear equations.
Strand Bloom's Scope Hours Source
Linear Systems of Inequalities Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 2 week tested: 34.
  
    Linear System of Equations: Graph Method
The learner will be able to apply the graphing method to obtain a solution to a system of two linear equations.
Strand Bloom's Scope Hours Source
Linear Systems of Inequalities Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 2 week tested: 34.
  
    Linear System of Equations: Solve
The learner will be able to obtain solutions to linear systems employing a variety of methods including matrices.
Strand Bloom's Scope Hours Source
Linear Systems of Inequalities Application Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 3,3.4 week tested: 34.
  
    Properties: Associative/Represent
The learner will be able to model the associative properties of addition and multiplication using manipulatives.
Strand Bloom's Scope Hours Source
Properties Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 1 week tested: 34.
  
    Properties: Commutative/Represent
The learner will be able to model the commutative properties of addition and multiplication using manipulatives.
Strand Bloom's Scope Hours Source
Properties Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 1 week tested: 34.
  
    Equation: Describe/Relationship
The learner will be able to write an equation to explain the relationship between data sets.
Strand Bloom's Scope Hours Source
Equations Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 2 week tested: 34.
  
    Equations: Write/Problem Solving
The learner will be able to symbolically express a problem solving scenario by writing an equation.
Strand Bloom's Scope Hours Source
Equations Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 2 week tested: 34.
  
    Equations: Translating/Verbal Sentence
The learner will be able to make translations of verbal sentences into algebraic equations.
Strand Bloom's Scope Hours Source
Equations Synthesis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  
    Linear Equations: Identify
The learner will be able to identify the transformation of the graph that exists when coefficients and/or constants of the corresponding linear equations are changed.
Strand Bloom's Scope Hours Source
Linear Equations Knowledge Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 3 week tested: 34.
  
    Linear Equations: Explain Transformation
The learner will be able to explain the transformations of the graph that exist when coefficients and/or constants of the corresponding linear equations are changed.
Strand Bloom's Scope Hours Source
Linear Equations Comprehension Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,3.18 week tested: 34.
  
    Linear Equations: Solve/Integers
The learner will be able to apply integers to obtain solutions to one- and two-step linear equations.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 1 week tested: 34.
  
    Linear Equations: Solve/Multiple-Step
The learner will be able to obtain solutions to linear equations that involve more than two steps and variables on one side of the equation only.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  
    Linear Equations: Model/Solution
The learner will be able to apply manipulatives to model the steps for solving basic linear equations.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 2 week tested: 34.
  
    Linear Equations: Solve/Multiple-Step
The learner will be able to obtain solutions to linear equations that involve more than two steps and have variables on both sides of the equation.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  
    Linear Equations: Solve/Parentheses
The learner will be able to obtain solutions to linear equations that involve more than two steps and have one set of parentheses on each side of the equation.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  
    Inequalities: 1-Variable/Recognize Graph
The learner will be able to recognize the graph of the solution to a one-variable inequality on a number line.
Strand Bloom's Scope Hours Source
Inequalities Knowledge Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  
    Inequality: Interpret
The learner will be able to interpret graphs of inequalities.
Strand Bloom's Scope Hours Source
Inequalities Analysis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,3.16 week tested: 34.
  
    Absolute Value: Explain/Number Line
The learner will be able to explain the absolute value of a number as distance from the origin by creating a number line.
Strand Bloom's Scope Hours Source
Absolute Value Comprehension Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 2 week tested: 34.
  
    Absolute Value: Investigate
The learner will be able to investigate a variety of illustrations of absolute value.
Strand Bloom's Scope Hours Source
Absolute Value Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 2 week tested: 34.
  
    Absolute Value: Connect
The learner will be able to connect concrete, graphical, oral, and symbolic illustrations of absolute value.
Strand Bloom's Scope Hours Source
Absolute Value Analysis Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 1,1.6 week tested: 34.
  
    Expressions: Add/Algebraic
The learner will be able to add algebraic expressions.
Strand Bloom's Scope Hours Source
Expressions Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 2,State Level 2 week tested: 34.
  
    Expressions: Subtract/Algebraic
The learner will be able to subtract algebraic expressions.
Strand Bloom's Scope Hours Source
Expressions Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 2,State Level 2 week tested: 34.
  
    Expressions: Evaluate/First Degree
The learner will be able to determine an answer for a first degree algebraic expression when given values for one or more variables.
Strand Bloom's Scope Hours Source
Expressions Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 1 week tested: 34.
  
    Expressions: Evaluate/Exponents
The learner will be able to determine an answer for an algebraic expression when given values for one or more variables applying grouping symbols and/or exponents less than four.
Strand Bloom's Scope Hours Source
Expressions Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  
    Expressions: Represent/Algebraic
The learner will be able to apply manipulatives to illustrate algebraic expressions and operations.
Strand Bloom's Scope Hours Source
Expressions Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 2 week tested: 34.
  
    Expressions: Translate
The learner will be able to translate word expressions into algebraic expressions.
Strand Bloom's Scope Hours Source
Expressions Synthesis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 1 week tested: 34.
  
    Polynomials: Multiply/Two/Binomials
The learner will be able to perform multiplication on two polynomials with each polynomial having two terms or less.
Strand Bloom's Scope Hours Source
Polynomials Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 2,State Level 2 week tested: 34.
  
    Monomials: Simplify/Expanded Form
The learner will be able to simplify a monomial expressed in expanded form by applying exponents.
Strand Bloom's Scope Hours Source
Polynomials Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 1,State Level 1 week tested: 34.
  
    Binomials: Choose Area Representation
The learner will be able to choose the area illustration for a specific product of two one-variable binomials having positive constants and coefficients.
Strand Bloom's Scope Hours Source
Polynomials Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 2,State Level 3 week tested: 34.
  
    Inverse Operations: Describing
The learner will be able to describe the inverse operations of addition/subtraction and multiplication/division.
Strand Bloom's Scope Hours Source
Inverse Operations Comprehension Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,1.4 week tested: 34.
  
    Inverse Operations: Use
The learner will be able to use inverse operations.
Strand Bloom's Scope Hours Source
Inverse Operations Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,1.4 week tested: 34.
  
    Inverse Operations: Use
The learner will be able to use the concept of inverse.
Strand Bloom's Scope Hours Source
Inverse Operations Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,1.3 week tested: 34.
  
    Inverse Operations: Model
The learner will be able to model inverse operations.
Strand Bloom's Scope Hours Source
Inverse Operations Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,1.4 week tested: 34.
  
    Algebraic Concepts: Interpret
The learner will be able to interpret the outcomes of algebraic procedures.
Strand Bloom's Scope Hours Source
Algebraic Concepts Analysis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,3.10 week tested: 34.
  
    Rates: Understand
The learner will be able to illustrate an understanding of rates and various derived and indirect measurements.
Strand Bloom's Scope Hours Source
Rates Application Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 2,2.6 week tested: 34.
  
    Rates: Slope/Real World Scenarios
The learner will be able to use the concept of slope to illustrate rate of change in a real world scenario.
Strand Bloom's Scope Hours Source
Rates Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,State Level 3 week tested: 34.
  
    Variable: Describe
The learner will be able to describe the definition of a variable in an expression, equation, and inequality.
Strand Bloom's Scope Hours Source
Variable Comprehension Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,3.6 week tested: 34.
  
    Variables: Solve Inequalities
The learner will be able to apply the idea of a variable in obtaining solutions to inequalities.
Strand Bloom's Scope Hours Source
Variable Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,3.11 week tested: 34.
  
    Variable: Expression/Equation
The learner will be able to use the concept of variable to simplify expressions and obtain solutions to equations.
Strand Bloom's Scope Hours Source
Variable Application Master 2.0 TN: Gateway Test, 1999, Algebra I, Std. 3,3.11 week tested: 34.
  
    Algorithms: Explore/Add/Multiply
The learner will be able to explore alternate algorithms that illustrate the relationship of multiplication to addition.
Strand Bloom's Scope Hours Source
Algorithms Analysis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 1 week tested: 34.
  
    Algorithms: Explore/Divide/Subtract
The learner will be able to explore alternate algorithms that illustrate the relationship of division to subtraction.
Strand Bloom's Scope Hours Source
Algorithms Analysis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 1 week tested: 34.
  
    Systems of Equations: Substitution
The learner will be able to solve a system of two equations with two variables through substitution.
Strand Bloom's Scope Hours Source
Systems of Equations Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 2 week tested: 34.
  
    Systems of Equations: Method/Justify
The learner will be able to justify the choice of a method for obtaining a solution to a system of equations.
Strand Bloom's Scope Hours Source
Systems of Equations Evaluation Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 2 week tested: 34.
  
    Number Sense: LCM/GCF/Algebraic
The learner will be able to compare and differentiate between the least common multiple (LCM) and greatest common factor (GCF) of a set of algebraic expressions.
Strand Bloom's Scope Hours Source
Number Sense Analysis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 2 week tested: 34.
  
    Problem Solving: Rate of Change/Apply
The learner will be able to use the concept of rate of change to obtain solutions to real world problems.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  
    Solution Methods: Justify/Results
The learner will be able to justify correct solutions of algebraic methods.
Strand Bloom's Scope Hours Source
Solution Methods Evaluation Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 2 week tested: 34.
  
    Pascal's Triangle: Explore/Patterns
The learner will be able to investigate patterns in Pascal's Triangle.
Strand Bloom's Scope Hours Source
Binomial Expansion Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 2 week tested: 34.
  
    Symbols: Choose/Algebraic Notation
The learner will be able to choose the algebraic notation that generalizes the pattern illustrated by data in a table.
Strand Bloom's Scope Hours Source
Symbols Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  

Calculus and Pre-Calculus
The Calculus/Pre-Calculus Unit includes Competencies/Objectives which focus on calculus concepts. Students study limits, matrix algebra, functions, vectors, conic sections, mathematical induction, and sequence and series using graphical calculators, computers, and models.

    Matrices: Determinant/Describe
The learner will be able to describe the importance of the value of the determinant of a matrix.
Strand Bloom's Scope Hours Source
Matrices Comprehension Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 2 week tested: 34.
  
    Matrices: Add/Technology
The learner will be able to apply suitable technology to perform addition of matrices.
Strand Bloom's Scope Hours Source
Matrices Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 2 week tested: 34.
  
    Matrices: Subtract/Technology
The learner will be able to apply suitable technology to perform subtraction of matrices.
Strand Bloom's Scope Hours Source
Matrices Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 2 week tested: 34.
  
    Matrices: Multiply Scalar/Technology
The learner will be able to apply suitable technology to perform scalar multiplication of matrices.
Strand Bloom's Scope Hours Source
Matrices Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 2 week tested: 34.
  
    Matrices: Solve/System of Equations
The learner will be able to apply matrices and technology to solve systems of equations.
Strand Bloom's Scope Hours Source
Matrices Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 3 week tested: 34.
  
    Matrices: Problems/Technology
The learner will be able to apply matrices in real world problem solving using appropriate technology.
Strand Bloom's Scope Hours Source
Matrices Application Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 2,2.7 week tested: 34.
  

Data Interpretation
The Data Interpretation Unit includes Competencies/Objectives which focus on the study and use of graphical forms. Students collect and classify data, organize and display data, use logical reasoning, and problem solving.

    Graphs: Draw/Interpret
The learner will be able to draw and/or interpret graphs which model real world phenomena.
Strand Bloom's Scope Hours Source
Graphing Master TN: Gateway Test, 1999, Algebra I, Std. 3,3.12, 3.13 week tested: 34.
  
    Circle Graphs: Interpret/Real World
The learner will be able to make interpretations of circle graphs that illustrate real world data.
Strand Bloom's Scope Hours Source
Circle Graphs Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 4,State Level 1 week tested: 34.
  
    Bar Graphs: Interpret/Real World
The learner will be able to make interpretations of bar graphs that illustrate real world data.
Strand Bloom's Scope Hours Source
Bar Graphs Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 4,State Level 1 week tested: 34.
  
    Analyzing Graphs: Judge/Choice
The learner will be able to judge the choice of a graphical illustration which best explains specific data.
Strand Bloom's Scope Hours Source
Analyzing/Evaluating Graphical Forms Evaluation Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 4,Teacher Level 2 week tested: 34.
  

Functions
The Functions Unit includes Competencies/Objectives which focus on exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions.

    Functions: Explain
The learner will be able to explain the domain and range of functions and describe restrictions imposed by either the operations or by the real world scenario which the functions illustrate.
Strand Bloom's Scope Hours Source
Functions Master TN: Gateway Test, 1999, Algebra I, Std. 3,3.17 week tested: 34.
  
    Graphing: Analyze/Explain Behavior
The learner will be able to study graphs to explain the behavior of functions.
Strand Bloom's Scope Hours Source
Graphing Functions Analysis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,3.9 week tested: 34.
  
    Representations: Functions
The learner will be able to represent many different functions.
Strand Bloom's Scope Hours Source
Representations of Functions Application Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 3,3.7 week tested: 34.
  
    Representations: Real World Phenomena
The learner will be able to use functions (such as tables, graphs, and expressions) to model real world phenomena.
Strand Bloom's Scope Hours Source
Representations of Functions Application Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 3,3.13 week tested: 34.
  
    Functions: Relationships/Illustrate
The learner will be able to identify relationships which can and cannot be illustrated by a function.
Strand Bloom's Scope Hours Source
Functions Knowledge Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,3.15 week tested: 34.
  
    Functions: Identify
The learner will be able to identify many different functions.
Strand Bloom's Scope Hours Source
Functions Knowledge Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 3,3.7 week tested: 34.
  
    Functions: Patterns/Real World
The learner will be able to explain in writing the pattern for real world information entered in a function table.
Strand Bloom's Scope Hours Source
Functions Comprehension Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 1 week tested: 34.
  
    Functions: Domain/Range/Find
The learner will be able to find the domain and/or range of a function illustrated by the graph of a real world scenario.
Strand Bloom's Scope Hours Source
Functions Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 3 week tested: 34.
  
    Functions: Distinguish
The learner will be able to differentiate between a function and other relationships.
Strand Bloom's Scope Hours Source
Functions Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 2 week tested: 34.
  
    Functions: Families/Investigate
The learner will be able to apply technology to investigate function families.
Strand Bloom's Scope Hours Source
Functions Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 3 week tested: 34.
  

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.

    Problem Solving: Properties/Formulas
The learner will be able to use geometric relationships, properties, and formulas to obtain solutions to real world problems.
Strand Bloom's Scope Hours Source
Problem Solving Master TN: Gateway Test, 1999, Algebra I, Std. 5,5.1 week tested: 34.
  
    Problem Solving: Applying Concepts
The learner will be able to apply learned geometry concepts in solving problems.
Strand Bloom's Scope Hours Source
Problem Solving Master TN: Gateway Test, 1999, Algebra I, Std. 3,3.5 week tested: 34.
  
    Geometric Relationships: Height
The learner will be able to find the height of an item that is hard to measure by applying the properties of similar triangles or the angle of elevation.
Strand Bloom's Scope Hours Source
Geometric Relationships Master TN: Gateway Test, 1999, Algebra I, Std. 5,Teacher Level 3 week tested: 34.
  
    Geometric Relationships: Properties
The learner will be able to study, represent, and use geometric properties and relationships.
Strand Bloom's Scope Hours Source
Geometric Relationships Master TN: Gateway Test, 1999, Algebra I, Std. 5 week tested: 34.
  
    Geometric Relationships: Explain
The learner will be able to explain real world applications of geometric formulas and relationships.
Strand Bloom's Scope Hours Source
Geometric Relationships Master TN: Gateway Test, 1999, Algebra I, Std. 5,Teacher Level 1 week tested: 34.
  
    Triangles: Similar/Proportion
The learner will be able to determine the length of an unknown side of a triangle using proportion and the concepts of similar triangles.
Strand Bloom's Scope Hours Source
Triangles Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 5,State Level 2 week tested: 34.
  
    Pythagorean Theorem: Show
The learner will be able to show the Pythagorean theorem by measuring the length, width, and diagonals of rectangles.
Strand Bloom's Scope Hours Source
Pythagorean Theorem Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 5,Teacher Level 2 week tested: 34.
  
    Pythagorean Theorem: Represent
The learner will be able to represent the Pythagorean theorem by creating area models.
Strand Bloom's Scope Hours Source
Pythagorean Theorem Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 5,Teacher Level 2 week tested: 34.
  
    Pythagorean Theorem: Use/Real World
The learner will be able to solve a real world problem modeled by a diagram using the Pythagorean Theorem (no radicals in answer).
Strand Bloom's Scope Hours Source
Pythagorean Theorem Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 5,State Level 2 week tested: 34.
  
    Inductive Reasoning: Conjecture
The learner will be able to apply techniques of inductive reasoning to formulate a conjecture.
Strand Bloom's Scope Hours Source
Reasoning Synthesis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 5,5.2 week tested: 34.
  
    Right Triangle: Describe/Determine
The learner will be able to describe the way to determine whether a triangle is a right triangle when given the lengths of all three sides.
Strand Bloom's Scope Hours Source
Right Triangles Comprehension Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 5,Teacher Level 2 week tested: 34.
  
    Right Triangles: Use/Relationships
The learner will be able to use right triangle relationships including the Pythagorean Theorem, distance formula and/or trigonometric ratios.
Strand Bloom's Scope Hours Source
Right Triangles Application Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 5,5.3 week tested: 34.
  
    Polygons: Create/Concept Map
The learner will be able to create a concept map illustrating connections between polygons.
Strand Bloom's Scope Hours Source
Polygons Synthesis Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 5,Teacher Level 2 week tested: 34.
  

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.

    Integers: Connect/Real World
The learner will be able to connect various real world scenarios to integers.
Strand Bloom's Scope Hours Source
Integers Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 1 week tested: 34.
  
    Operations: Use/Order of Operations
The learner will be able to use the order of operations when completing computations with integers that apply no more than two sets of grouping symbols and exponents 1 and 2.
Strand Bloom's Scope Hours Source
Operations Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 2,State Level 1 week tested: 34.
  

Mathematics Processes
The Mathematics Processes Unit includes Competencies/Objectives which focus on mathematical connections. Students communicate and model concepts and procedures.

    Modeling: Operations/Real World
The learner will be able to apply real world scenarios and physical representations to model operations.
Strand Bloom's Scope Hours Source
Mathematical Modeling Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 2 week tested: 34.
  

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.

    Problem Solving: Algebraic
The learner will be able to use measurement ideas and relationships in algebraic problem solving scenarios.
Strand Bloom's Scope Hours Source
Problem Solving Master TN: Gateway Test, 1999, Algebra I, Std. 2,2.5 week tested: 34.
  
    Problem Solving: Geometric
The learner will be able to use measurement ideas and relationships in geometric problem solving situations.
Strand Bloom's Scope Hours Source
Problem Solving Master TN: Gateway Test, 1999, Algebra I, Std. 2,2.5 week tested: 34.
  
    Problem Solving: Real World
The learner will be able to apply the ideas of length, area, surface area, and volume to approximate and solve real world problems.
Strand Bloom's Scope Hours Source
Problem Solving Master TN: Gateway Test, 1999, Algebra I, Std. 2,2.4 week tested: 34.
  
    Area: Generalize/Formulas
The learner will be able to apply manipulatives to generalize area formulas for a parallelogram, a triangle, and a trapezoid.
Strand Bloom's Scope Hours Source
Area Master TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 2 week tested: 34.
  
    Area: Develop/Describe Formulas
The learner will be able to develop and describe formulas for calculating area.
Strand Bloom's Scope Hours Source
Area Master TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 1 week tested: 34.
  
    Area/Perimeter: Apply/Formula/Rectangle
The learner will be able to find the area or perimeter of a rectangle using the given formula.
Strand Bloom's Scope Hours Source
Perimeter/Area/Volume Master TN: Gateway Test, 1999, Algebra I, Std. 5,State Level 1 week tested: 34.
  
    Perimeter/Area/Volume: Change/Describe
The learner will be able to explain the resulting changes in perimeter, area, and volume when a geometric object has its dimensions changed.
Strand Bloom's Scope Hours Source
Perimeter/Area/Volume Master TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 3 week tested: 34.
  
    Area/Perimeter: Defend/Estimate
The learner will be able to defend approximations of the perimeter and/or area of rectangles and triangles.
Strand Bloom's Scope Hours Source
Perimeter/Area/Volume Master TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 1 week tested: 34.
  
    Volume: Develop/Describe Formulas
The learner will be able to develop and describe formulas for calculating volume.
Strand Bloom's Scope Hours Source
Volume Master TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 1 week tested: 34.
  
    Measurement: Estimation/Computation
The learner will be able to describe the concepts and methods applied in estimation, measurement, and computation.
Strand Bloom's Scope Hours Source
Measurement: Estimation Master TN: Gateway Test, 1999, Algebra I, Std. 2,2.2 week tested: 34.
  
    Units: Apply/Appropriate
The learner will be able to apply suitable units of measurement.
Strand Bloom's Scope Hours Source
Units Application Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 2 week tested: 34.
  
    Units: Justify/Choosing
The learner will be able to formulate a justification for choosing a unit of measure in a specific situation.
Strand Bloom's Scope Hours Source
Units Evaluation Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 1 week tested: 34.
  
    Area: Explain/Method/Composite
The learner will be able to explain the method for finding the area of a composite figure in a real world scenario.
Strand Bloom's Scope Hours Source
Area Comprehension Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 2 week tested: 34.
  
    Area: Estimate/Irregular Figures
The learner will be able to talk about issues associated with estimating areas of irregular-shaped figures for real world applications.
Strand Bloom's Scope Hours Source
Area Comprehension Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 5,Teacher Level 1 week tested: 34.
  
    Area: Estimate/Irregular
The learner will be able to make estimates of the areas of irregular figures with the use of grids or rulers.
Strand Bloom's Scope Hours Source
Area Application Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 5,State Level 1 week tested: 34.
  
    Area: Determine/Dimensions
The learner will be able to determine the dimensions of a rectangle when presented its area and the relationship between two adjoining sides.
Strand Bloom's Scope Hours Source
Area Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 3 week tested: 34.
  
    Circumference: Calculate/Formula
The learner will be able to determine the circumference of a circle using a given formula.
Strand Bloom's Scope Hours Source
Circumference Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 5,State Level 2 week tested: 34.
  
    Area of a Circle: Calculate/Formula
The learner will be able to calculate the area of a circle using a given formula.
Strand Bloom's Scope Hours Source
Area of a Circle Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 5,State Level 2 week tested: 34.
  
    Volume: Relate to Shape
The learner will be able to compare the volume of a container to its shape.
Strand Bloom's Scope Hours Source
Volume Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 2 week tested: 34.
  
    Volume: Justify/Approximation
The learner will be able to justify an approximation for the volume of a container.
Strand Bloom's Scope Hours Source
Volume Evaluation Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 2 week tested: 34.
  
    Formula: Volume/Rectangular Prism
The learner will be able to use a formula to determine the volume of a rectangular prism.
Strand Bloom's Scope Hours Source
Formulas Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 5,State Level 2 week tested: 34.
  
    Measurement Concepts: Rate of Change
The learner will be able to use the concept of rate of change.
Strand Bloom's Scope Hours Source
Measurement Concepts Application Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 3,3.8 week tested: 34.
  
    Tools: Use/Appropriate
The learner will be able to use suitable measurement instruments.
Strand Bloom's Scope Hours Source
Tools/Instruments Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 2 week tested: 34.
  

Number Theory
The Number Theory Unit includes Competencies/Objectives which focus on manipulating number forms and classifications. Students make connections between number forms and their real world applications.

    Number Size: Rational/Irrational
The learner will be able to illustrate an understanding of the relative size of rational and irrational numbers.
Strand Bloom's Scope Hours Source
Number Size Master TN: Gateway Test, 1999, Algebra I, Std. 1,1.2 week tested: 34.
  
    Number Theory: Differentiate/LCM/GCF
The learner will be able to compare and differentiate between the least common multiple (LCM) and greatest common factor (GCF) of a set of numbers.
Strand Bloom's Scope Hours Source
Number Theory Master TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 1 week tested: 34.
  
    Number Theory: Real Numbers/Operations
The learner will be able to identify, illustrate, represent, and use real numbers and operations verbally, physically, symbolically, and graphically.
Strand Bloom's Scope Hours Source
Number Theory Master TN: Gateway Test, 1999, Algebra I, Std. 1 week tested: 34.
  
    Number Systems: Comprehend/Real
The learner will be able to illustrate a comprehension of the subsets, elements, properties, and operations of the real number system.
Strand Bloom's Scope Hours Source
Number Systems Master TN: Gateway Test, 1999, Algebra I, Std. 1,1.1 week tested: 34.
  
    Number Forms: Recognize/Reciprocal
The learner will be able to recognize the reciprocal of a rational number.
Strand Bloom's Scope Hours Source
Number Forms Knowledge Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 1,State Level 2 week tested: 34.
  
    Number Forms: Apply/Notation
The learner will be able to apply mathematical notations appropriately.
Strand Bloom's Scope Hours Source
Number Forms Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,1.8 week tested: 34.
  
    Ratio/Proportion: Choose/Real World
The learner will be able to choose ratios and proportions to illustrate real world problems.
Strand Bloom's Scope Hours Source
Ratio/Proportion Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,State Level 2 week tested: 34.
  
    Prime Numbers: Investigate/Applications
The learner will be able to investigate the applications of prime numbers.
Strand Bloom's Scope Hours Source
Prime/Composite Numbers Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 3 week tested: 34.
  
    Prime Numbers: Investigate/History
The learner will be able to investigate the history of prime numbers.
Strand Bloom's Scope Hours Source
Prime/Composite Numbers Analysis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 3 week tested: 34.
  
    Prime/Composite: Study
The learner will be able to study prime and composite numbers.
Strand Bloom's Scope Hours Source
Prime/Composite Numbers Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 1 week tested: 34.
  
    Square Roots: Find/Perfect Square/To 169
The learner will be able to find the square root of a perfect square number that is less than 169.
Strand Bloom's Scope Hours Source
Roots/Radicals Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 1,State Level 1 week tested: 34.
  
    Number Theory Concepts: Apply
The learner will be able to use number theory concepts in mathematical problem scenarios.
Strand Bloom's Scope Hours Source
Number Theory Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,1.5 week tested: 34.
  
    Number Theory: Problem Solving
The learner will be able to use number theory concepts to solve problems.
Strand Bloom's Scope Hours Source
Number Theory Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,3.5 week tested: 34.
  
    Number Forms: Representing/Real World
The learner will be able to use real numbers to illustrate real world applications.
Strand Bloom's Scope Hours Source
Number Forms: Representing Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,1.7 week tested: 34.
  

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

    Patterns: Problem Solving/Real World
The learner will be able to study mathematical patterns associated with algebra and geometry in real world problem solving situations.
Strand Bloom's Scope Hours Source
Patterns: Problem Solving Master TN: Gateway Test, 1999, Algebra I, Std. 3,3.2 week tested: 34.
  
    Patterns/Functions: Real World
The learner will be able to explain, continue, study, and develop a large variety of patterns and functions applying suitable materials and illustrations in real world problem solving.
Strand Bloom's Scope Hours Source
Patterns: Relationships Master TN: Gateway Test, 1999, Algebra I, Std. 3 week tested: 34.
  
    Computing/Estimating: Develop Strategies
The learner will be able to create effective approximation and computation strategies for determining reasonable results.
Strand Bloom's Scope Hours Source
Computing/Estimating Master TN: Gateway Test, 1999, Algebra I, Std. 2 week tested: 34.
  
    Estimation Strategies: Clarify
The learner will be able to clarify strategies for approximating whole numbers, fractions, and percentages.
Strand Bloom's Scope Hours Source
Estimation Strategies Master TN: Gateway Test, 1999, Algebra I, Std. 2,Teacher Level 1 week tested: 34.
  
    Patterns: Spatial/Identify/Continue/Make
The learner will be able to identify, continue, and/or make spatial patterns.
Strand Bloom's Scope Hours Source
Patterns: Identify/Describe/Continue Master TN: Gateway Test, 1999, Algebra I, Std. 3,3.1 week tested: 34.
  
    Patterns: Generalize/Function Notation
The learner will be able to apply algebraic thought processes to generalize a pattern by expressing the pattern in function notation.
Strand Bloom's Scope Hours Source
Patterns: Generalize Synthesis Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 3,3.3 week tested: 34.
  
    Patterns: Number/Identify
The learner will be able to identify number patterns.
Strand Bloom's Scope Hours Source
Patterns: Number Knowledge Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,3.1 week tested: 34.
  
    Patterns: Number/Create
The learner will be able to create patterns using numbers.
Strand Bloom's Scope Hours Source
Patterns: Number Synthesis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,3.1 week tested: 34.
  
    Patterns: Number/Extend
The learner will be able to extend patterns of numbers.
Strand Bloom's Scope Hours Source
Patterns: Number Synthesis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,3.1, State Level 1 week tested: 34.
  
    Patterns: Geometric/Identify
The learner will be able to identify geometric patterns.
Strand Bloom's Scope Hours Source
Patterns: Geometric Knowledge Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,3.1 week tested: 34.
  
    Patterns: Geometric/Continue
The learner will be able to continue geometric patterns.
Strand Bloom's Scope Hours Source
Patterns: Geometric Synthesis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 1 week tested: 34.
  
    Patterns: Geometric/Extend/Make
The learner will be able to extend and make geometric patterns.
Strand Bloom's Scope Hours Source
Patterns: Geometric Synthesis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,3.1 week tested: 34.
  
    Pattern: Investigate/Fibonacci
The learner will be able to investigate patterns in a Fibonacci sequence.
Strand Bloom's Scope Hours Source
Patterns Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 2 week tested: 34.
  
    Estimate: Solution/Reasonable
The learner will be able to find a suitable solution for a tedious mathematical calculation using estimation.
Strand Bloom's Scope Hours Source
Estimation Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 2,State Level 2 week tested: 34.
  
    Number Lines: Estimate Position/Rational
The learner will be able to choose the best approximation for the position of a particular rational number on a number line.
Strand Bloom's Scope Hours Source
Number Lines Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 1,State Level 1 week tested: 34.
  
    Computing: Use Appropriate Tools
The learner will be able to compute answers by applying appropriate instruments.
Strand Bloom's Scope Hours Source
Computing/Estimating Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 2 week tested: 34.
  
    Estimation Strategies: Predicting
The learner will be able to apply estimation strategies to forecast computational results.
Strand Bloom's Scope Hours Source
Estimation Strategies Application Master 2.0 TN: Gateway Test, 1999, Algebra I, Std. 2,2.8 week tested: 34.
  

Perspective/Role in Society
The Perspective/Role in Society Unit includes Competencies/Objectives which focus on real world mathematics. Students study the mathematics of society and the role of mathematics in personal finance and careers.

    Consumer Costs: Determine Rates/Best Buy
The learner will be able to find the best buy by computing rates involving cost per unit (up to three samples).
Strand Bloom's Scope Hours Source
Personal Finances/Investments Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 2,State Level 1 week tested: 34.
  

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.).

    Data: Gather/Illustrate/Explain
The learner will be able to gather, illustrate and explain linear and nonlinear data sets formulated from the real world.
Strand Bloom's Scope Hours Source
Data Master TN: Gateway Test, 1999, Algebra I, Std. 4,4.1 week tested: 34.
  
    Data: Gather/Organize/Real World
The learner will be able to gather and organize real world information.
Strand Bloom's Scope Hours Source
Data Master TN: Gateway Test, 1999, Algebra I, Std. 4,Teacher Level 1 week tested: 34.
  
    Counting Principle: Apply/Real World
The learner will be able to use the counting principles of permutations or combinations in real world scenarios.
Strand Bloom's Scope Hours Source
Counting Methods Master TN: Gateway Test, 1999, Algebra I, Std. 4,State Level 3 week tested: 34.
  
    Probability/Statistics: Concepts
The learner will be able to gather, organize, illustrate, and interpret data; formulate, present, and evaluate inferences and predictions; present and evaluate arguments based on analysis of data; and model situations to find theoretical and experimental probabilities.
Strand Bloom's Scope Hours Source
Probability/Statistics Master TN: Gateway Test, 1999, Algebra I, Std. 4 week tested: 34.
  
    Problem Solving: Application
The learner will be able to use the ideas of probability and statistics in many different problem solving contexts.
Strand Bloom's Scope Hours Source
Problem Solving Master TN: Gateway Test, 1999, Algebra I, Std. 3,3.5 week tested: 34.
  
    Graphing: Select/Create/Study
The learner will be able to select, create, and study suitable graphical illustrations for a set of data including pie charts, histograms, stem and leaf plots, scatterplots and/or box and whisker plots.
Strand Bloom's Scope Hours Source
Graphing Master TN: Gateway Test, 1999, Algebra I, Std. 4,4.4 week tested: 34.
  
    Median: Determine/Real World
The learner will be able to find the median for a real world data set that contains an even number of data points.
Strand Bloom's Scope Hours Source
Average/Median/Mode/Range Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 4,State Level 2 week tested: 34.
  
    Mean: Determine/Real World
The learner will be able to find the mean of a real world data set containing up to five two-digit numbers.
Strand Bloom's Scope Hours Source
Average/Median/Mode/Range Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 4,State Level 1 week tested: 34.
  
    Probability: Law of Large Numbers
The learner will be able to use the Law of Large Numbers.
Strand Bloom's Scope Hours Source
Probability Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 4,4.5 week tested: 34.
  
    Data: Debate Conclusions
The learner will be able to logically argue about potential conclusions that can be supported by data.
Strand Bloom's Scope Hours Source
Data Evaluation Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 4,Teacher Level 3 week tested: 34.
  
    Predictions: Lines of Best Fit
The learner will be able to use lines of best fit to make predictions from a set of data.
Strand Bloom's Scope Hours Source
Predictions Analysis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 4,4.2 week tested: 34.
  
    Predictions: Line of Best Fit/Real World
The learner will be able to apply a line of best fit to formulate predictions from real world data.
Strand Bloom's Scope Hours Source
Predictions Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 4,Teacher Level 3 week tested: 34.
  
    Measure of Central Tendency: Interpret
The learner will be able to interpret a group of data using the suitable measure of central tendency.
Strand Bloom's Scope Hours Source
Measures of Central Tendency Analysis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 4,4.3 week tested: 34.
  
    Sampling: Apply Randomness
The learner will be able to apply the idea of randomness in sampling.
Strand Bloom's Scope Hours Source
Sampling Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 4,4.5 week tested: 34.
  
    Sampling Method: Justify
The learner will be able to justify the sampling method selected to perform a survey.
Strand Bloom's Scope Hours Source
Sampling Evaluation Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 4,Teacher Level 2 week tested: 34.
  
    Counting Principle: Technology
The learner will be able to use the counting principles of permutations and combinations applying suitable technology.
Strand Bloom's Scope Hours Source
Counting Methods Application Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 4,4.6 week tested: 34.
  
    Data Collection: Develop/Strategy
The learner will be able to develop a strategy for gathering real world information for a scientific investigation.
Strand Bloom's Scope Hours Source
Data Collection Synthesis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 4,Teacher Level 1 week tested: 34.
  
    Probability Concepts: Validity/Critique
The learner will be able to critique the validity of statements made in probability situations.
Strand Bloom's Scope Hours Source
Probability Concepts Evaluation Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 4,Teacher Level 2 week tested: 34.
  
    Data Display: Real World
The learner will be able to use a variety of representations (bar graphs, line graphs, tables, etc.) to display real world data.
Strand Bloom's Scope Hours Source
Data Display Application Master 2.0 TN: Gateway Test, 1999, Algebra I, Std. 4,Teacher Level 2 week tested: 34.
  

Problem Solving
The Problem Solving Unit includes Competencies/Objectives which focus on analyzing problems, evaluating solutions, exploring problems, and developing strategies for solving problems.

    Evaluating Solutions: Choose/Division
The learner will be able to select an appropriate solution for a real world division problem involving a remainder that must be considered.
Strand Bloom's Scope Hours Source
Evaluating Solutions Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 2,State Level 1 week tested: 34.
  
    Solution: Reasonableness
The learner will be able to evaluate the reasonableness of a given solution.
Strand Bloom's Scope Hours Source
Solution Evaluation Master 1.5 TN: Gateway Test, 1999, Algebra I, Std. 2,2.1, 2.8 week tested: 34.
  

Rational and Irrational Numbers
The Rational and Irrational Numbers Unit includes Competencies/Objectives which focus on number concepts. Students manipulate, compare, and perform operations with rational and irrational numbers.

    Rational Numbers: Ordering
The learner will be able to order a group of rational numbers in the appropriate sequence.
Strand Bloom's Scope Hours Source
Rational Numbers Analysis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,State Level 2 week tested: 34.
  
    Number Sense: Rational/Opposite
The learner will be able to recognize the opposite of a rational number.
Strand Bloom's Scope Hours Source
Number Sense Knowledge Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 1,State Level 1 week tested: 34.
  
    Number Sense: Pattern/Study
The learner will be able to study rational number patterns.
Strand Bloom's Scope Hours Source
Number Sense Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 1 week tested: 34.
  

Real Numbers and the Coordinate Plane
The Real Numbers and the Coordinate Plane Unit includes Competencies/Objectives which focus on graphing concepts. Students graph equations and make connections between algebraic concepts and their geometric correspondences.

    Real Numbers: Choose/Use
The learner will be able to choose and use an appropriate strategy for computing with real numbers.
Strand Bloom's Scope Hours Source
Real Numbers Master TN: Gateway Test, 1999, Algebra I, Std. 2,2.1 week tested: 34.
  
    Slope: Determine From Graph
The learner will be able to use the graph of a linear equation to determine the slope.
Strand Bloom's Scope Hours Source
Slope Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  
    Problem Solving: Use Graph/Predict
The learner will be able to use the graph of a real world linear data set to formulate a prediction.
Strand Bloom's Scope Hours Source
Problem Solving Analysis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 4,State Level 2 week tested: 34.
  
    Coordinate Plane: Identify Points
The learner will be able to identify points on a coordinate plane.
Strand Bloom's Scope Hours Source
Coordinate Geometry Knowledge Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 4,State Level 1 week tested: 34.
  
    Linear Inequalities: Choose Graph
The learner will be able to choose the appropriate graphical illustration of a given linear inequality.
Strand Bloom's Scope Hours Source
Linear Inequalities Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  
    Linear Inequalities: Solve/Multi-Step
The learner will be able to find solutions to multi-step linear inequalities that illustrate real world scenarios.
Strand Bloom's Scope Hours Source
Linear Inequalities Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 3 week tested: 34.
  
    Nonlinear Equations: Choose/Real World
The learner will be able to choose the nonlinear graph that represents the given real world scenario or vise versa.
Strand Bloom's Scope Hours Source
Nonlinear Equations Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  
    Real Numbers: Analyze/Estimations
The learner will be able to analyze estimated values of real numbers including pi and radical two.
Strand Bloom's Scope Hours Source
Real Numbers Analysis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 3 week tested: 34.
  
    Real Numbers: Explore/Relationships
The learner will be able to explore the relationships between a variety of subsets of the real number system.
Strand Bloom's Scope Hours Source
Real Numbers Analysis Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 2 week tested: 34.
  
    Graphing: Inequalities
The learner will be able to graph inequalities on the coordinate plane.
Strand Bloom's Scope Hours Source
Graphing Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,3.16 week tested: 34.
  
    Graphing: Choose Graph Given Points
The learner will be able to select the matching linear graph when given a set of coordinate points.
Strand Bloom's Scope Hours Source
Graphing Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 4,State Level 2 week tested: 34.
  
    Graphing: Linear Function/Choose
The learner will be able to choose the graph that illustrates a linear function expressed in slope-intercept form.
Strand Bloom's Scope Hours Source
Graphing Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  
    Graphing: Linear/Real World/Table
The learner will be able to choose the linear graph that represents a given real world situation explained in a tabular set of data.
Strand Bloom's Scope Hours Source
Graphing Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  
    Graphing: Linear/Real World/Narrative
The learner will be able to choose the linear graph that represents a given real world situation explained in a narrative (no data set given).
Strand Bloom's Scope Hours Source
Graphing Application Master 1.0 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 2 week tested: 34.
  
    Distance: Compute/Pythagorean Theorem
The learner will be able to compute the distance between two points when given the Pythagorean Theorem.
Strand Bloom's Scope Hours Source
Distance Formula Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 5,State Level 3 week tested: 34.
  
    Distance Formula
The learner will be able to use the distance formula to find the distance between two coordinate points.
Strand Bloom's Scope Hours Source
Distance Formula Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 5,State Level 3 week tested: 34.
  

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