Chester Township Public Schools
Mathematics Curriculum

Mathematics - Math Analysis

Mathematics

The National Council of Teachers of Mathematics Curriculum and Evaluation Standards provide educators with goals for school mathematics and guidelines for achieving these goals. The fifty-four standards are presented as a vision for school mathematics based on societal goals, student goals, research on teaching and learning, and professional guidelines.


The Foundations of Learning (1999) curriculum offers Kindergarten through Grade 12 objectives for the Knowledge and Comprehension levels of Bloom's Taxonomy. EdVISION.com developed this curriculum based on extensive research of standardized and state tests. Additional objectives were added to enhance the content areas.

The Mathematics component of the Foundations of Learning curriculum focuses on basic skills. Objectives primarily involve the identification, recognition, comprehension, or understanding of various math topics.


The Applications of Learning (1999) curriculum offers Kindergarten through Grade 12 objectives for the Application and Analysis levels of Bloom's Taxonomy. EdVISION.com developed this curriculum based on extensive research of standardized and state tests. Additional objectives were added to enhance the content areas.

The Mathematics component of the Applications of Learning curriculum focuses on intermediate skills. The objectives primarily involve the application, examination, or analysis of various math topics.


The Higher Order Learning (1999) curriculum offers Grade 4 through Grade 12 objectives for the Synthesis and Evaluation levels of Bloom's Taxonomy. EdVISION.com developed this curriculum based on extensive research of standardized and state tests. Additional objectives were added to enhance the content areas.

The Mathematics component of the Higher Order Learning curriculum focuses on advanced skills. The objectives primarily involve the synthesis and evaluation of various math topics.


The purpose of New Jersey's statewide assessment program is to measure what students at benchmark grade levels know and are able to do. The Mathematics Content Clusters that are covered in the tests unavoidably contain some overlapping content, since mathematical topics are not disconnected but are part of an interconnected whole.


The New Jersey Curriculum Content Standards for Mathematics is focused on achieving one crucial goal:

"To enable ALL of New Jersey's children to move into the twenty-first century with the mathematical skills, understandings, and attitudes that they will need to be successful in their careers and daily lives."

The environment in the mathematics classroom should reflect the following two standards:

"1. All students' mathematical learning will embody the concepts that engagement in mathematics is essential, and that the decision-making, risk-taking, cooperative work, perseverance, self-assessment, and self-confidence are frequently keys to success."

"2. All students will be evaluated using a diversity of assessment tools and strategies, to provide multiple indicators of the quality of every student's mathematical learning and of overall program effectiveness."

The New Jersey Standards for Mathematics are as follows:

*"All students will develop the ability to pose and solve mathematical problems in mathematics, other disciplines, and everyday experiences."

*"All students will communicate mathematically through written, oral, symbolic, and visual forms of expression."

*"All students will connect mathematics to other learning by understanding the interrelationships of mathematical ideas and the roles that mathematics and mathematical modeling play in other disciplines and in life."

*"All students will develop reasoning ability and will become self-reliant, independent mathematical thinkers."

*"All students will regularly and routinely use calculators, computers, manipulatives, and other mathematical tools to enhance mathematical thinking, understanding, and power."

*"All students will develop number sense and an ability to represent numbers in a variety of forms and use numbers in diverse situations."

*"All students will develop spatial sense and an ability to use geometric properties and relationships to solve problems in mathematics and everyday life."

*"All students will understand, select, and apply various methods of performing numerical operations."

*"All students will develop an understanding of and will use measurement to describe and analyze phenomena."

*"All students will use a variety of estimation strategies and recognize situations in which estimation is appropriate."

*"All students will develop an understanding of patterns, relationships, and functions and will use them to represent and explain real-world phenomena."

*"All students will develop an understanding of statistics and probability and will use them to describe sets of data, model situations, and support appropriate inferences and arguments."

*"All students will develop an understanding of algebraic concepts and processes and will use them to represent and analyze relationships among variable quantities and to solve problems."

*"All students will apply the concepts and methods of discrete mathematics to model and explore a variety of practical situations."

*"All students will develop an understanding of conceptual building blocks of calculus and will use them to model and analyze natural phenomena."

*"All students will demonstrate high levels of mathematical thought through experiences which extend beyond traditional computation, algebra, and geometry."


In this area students concentrate on making mathematical connections and using principles of mathematics to communicate, reason, and solve problems. Students engage in projects which require them to apply number systems, operations, and forms in real-world contexts.

Math Analysis

The Foundations of Learning curriculum provides objectives for eleventh grade students.

The Applications of Learning curriculum provides objectives for eleventh grade students.

The Higher Order Learning curriculum provides objectives for eleventh grade students.

The mathematics section of the Grade 11 HSPA assesses students' knowledge and skills in four content clusters of mathematics:

1. Number Sense, Concepts, and Applications
2. Spatial Sense and Geometry
3. Data Analysis, Probability, Statistics, and Discrete Mathematics
4. Patterns, Functions, and Algebra

In this course students learn applications of complex number systems. Students engage in activities which require them to explore polynomial, rational, exponential, logarithmic, trigonometric, and circular functions. Course work includes preparation for mathematics, science, and technology college majors. The course emphasizes abstract mathematical principles. The Terra Nova Complete Battery assesses students in ninth grade (Level 19).


Algebraic Concepts
The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. This unit includes studying number systems, operations, and forms. 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: Rational/Real Numbers
The learner will be able to show their comprehension of, and/or apply properties as they apply to rational and/or real numbers.
Strand Bloom's Scope Source
Properties Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.42,I.A.1 week tested: 34.
  
    Properties: Operations
The learner will be able to conceptually understand the properties of operations, including zero (additive, multiplicative), one (multiplicative), grouping (associative), and order (commutative).
Strand Bloom's Scope Source
Properties Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.42,I.A.6 week tested: 34.
  
    Expressions: Powers/Roots/Factorials
The learner will be able to simplify expressions that contain powers, roots, and factorials.
Strand Bloom's Scope Source
Simplify Expressions Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.42,I.A.10 week tested: 34.
  
    Radicals: Simplifying
The learner will be able to simplify negative and positive radicals, translate sentences into radicals, identify radical equations that do not represent real numbers, and find the nth root of radical equations.
Strand Bloom's Scope Source
Radicals Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Algebraic Concepts: Apply
The learner will be able to use appropriate mathematical abilities to apply absolute values, exponents, and estimations for roots of numbers in real-life problem situations.
Strand Bloom's Scope Source
Algebraic Concepts Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.42,I.A.13 week tested: 34.
  
    Algebraic Concepts: Real-World
The learner will be able to accurately describe, study and model real-world situations using algebraic concepts and processes.
Strand Bloom's Scope Source
Algebraic Concepts Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.41,IV.C week tested: 34.
  
    Order of Operations: Exponents
The learner will be able to determine the correct order of operations for an exponential equation.
Strand Bloom's Scope Source
Order of Operations Comprehension Master Foundations of Learning, January 1999, Grade 11
  
    Equations: Story Problems
The learner will be able to determine equations for and solve problems in the context of real world scenarios.
Strand Bloom's Scope Source
Solve Equations Application Master Applications of Learning, January 1999, Grade 11
  
    Absolute Value: Understand
The learner will be able to understand absolute value.
Strand Bloom's Scope Source
Absolute Value Comprehension Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.42,I.A.3 week tested: 34.
  
    Exponents: Roots
The learner will be able to understand exponents and roots.
Strand Bloom's Scope Source
Exponents Comprehension Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.42,I.A.2 week tested: 34.
  
    Exponential Equations
The learner will be able to solve equations involving exponents.
Strand Bloom's Scope Source
Exponents Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Exponents: Integral and Square Roots
The learner will be able to apply laws of integral exponents and/or square roots to simplify and/or evaluate algebraic expressions.
Strand Bloom's Scope Source
Exponents Synthesis Master Higher-Order Learning, January 1999, Grade 11
  
    Fundamental Theorem of Algebra
The learner will be able to identify and use the Fundamental Theorem of Algebra.
Strand Bloom's Scope Source
Theorems Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Remainder/Factor Theorems
The learner will be able to apply the remainder and factor theorems.
Strand Bloom's Scope Source
Factoring Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Logarithms: Simplifying
The learner will be able to use logarithmic properties to simplify expressions.
Strand Bloom's Scope Source
Logarithms Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Logarithmic Equations
The learner will be able to solve equations involving logarithms.
Strand Bloom's Scope Source
Logarithms Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Binomial Theorem
The learner will be able to identify and apply the binomial theorem.
Strand Bloom's Scope Source
Binomial Expansion Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  

Calculus and Pre-Calculus
The Calculus and Pre-Calculus Unit includes studying the following concepts: limits, matrix algebra, functions, vectors, conic sections, mathematical induction, and sequence and series using graphical calculators, computers, and models.

This unit includes studying the following concepts: limits, matrix algebra, functions, vectors, conic sections, mathematical induction, and sequence and series using graphical calculators, computers, and models.

    Problem Solving: Central Limit Theorem
The learner will be able to apply the Central Limit Theorem to solve real-world scenario problems.
Strand Bloom's Scope Source
Problem Solving Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Derivatives: Deriving Formulas
The learner will be able to use the definition of the derivative as the limit of a sum to derive formulas for the derivatives.
Strand Bloom's Scope Source
Derivatives/Antiderivatives Synthesis Master Higher-Order Learning, January 1999, Grade 11
  
    Derivatives: Derived Function
The learner will be able to find a derived function given the definition.
Strand Bloom's Scope Source
Derivatives/Antiderivatives Comprehension Master Foundations of Learning, January 1999, Grade 11
  
    Complex Numbers: Polar Form
The learner will be able to write complex numbers in polar form.
Strand Bloom's Scope Source
Complex Numbers Knowledge Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Complex Numbers: Trig Form
The learner will be able to apply the trigonometric form of complex numbers.
Strand Bloom's Scope Source
Complex Numbers Application Master Applications of Learning, January 1999, Grade 11
  
    Complex Numbers: Absolute Value
The learner will be able to determine absolute value of complex numbers and relate that to real numbers.
Strand Bloom's Scope Source
Complex Numbers Analysis Master Applications of Learning, January 1999, Grade 11
  
    Complex Numbers: DeMoivre's Theorem
The learner will be able to determine powers and roots of complex numbers by using DeMoivre's theorem.
Strand Bloom's Scope Source
Complex Numbers Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series; Applications of Learning, January 1999, Grade 11
  
    Complex Numbers: DeMoivre's/Prove
The learner will be able to prove DeMoivre's theorem.
Strand Bloom's Scope Source
Complex Numbers Synthesis Master Higher-Order Learning, January 1999, Grade 11
  
    Matrices: Understand
The learner will be able to understand the concept of matrices.
Strand Bloom's Scope Source
Matrices Comprehension Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.50,II.B.6 week tested: 34.
  
    Matrices: Scalar Multiplication
The learner will be able to perform scalar multiplication with matrices.
Strand Bloom's Scope Source
Matrices Comprehension Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.50,II.B.12 week tested: 34.
  
    Matrices: Evaluate Results
The learner will be able to make evaluations of the results of matrix operations.
Strand Bloom's Scope Source
Matrices Evaluation Master Higher-Order Learning, January 1999, Grade 11
  
    Matrices: Analyzing
The learner will be able to evaluate the use of matrices with systems of equations to determine advantages and disadvantages of this solution method.
Strand Bloom's Scope Source
Matrices Evaluation Master Higher-Order Learning, January 1999, Grade 11
  
    Matrices: Interpret Linear Systems
The learner will be able to interpret linear systems of equations as matrices consisting of their coefficients.
Strand Bloom's Scope Source
Matrices Analysis Master Applications of Learning, January 1999, Grade 11
  
    Vectors: Position of Objects
The learner will be able to apply vectors to show the position of an object.
Strand Bloom's Scope Source
Vectors Application Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.50,II.B.13 week tested: 34.
  
    Vectors: Understand
The learner will be able to understand the concept of vectors.
Strand Bloom's Scope Source
Vectors Comprehension Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.50,II.B.8 week tested: 34.
  
    Parametric Equations: Define/Derive
The learner will be able to determine a definition for and derive parametric equations.
Strand Bloom's Scope Source
Parametric Equations Synthesis Master Higher-Order Learning, January 1999, Grade 11
  
    Parametric Equations: Graph
The learner will be able to sketch the graph of a set of parametric equations.
Strand Bloom's Scope Source
Parametric Equations Application Master Applications of Learning, January 1999, Grade 11
  
    Parametric Equations: Problem Solving
The learner will be able to solve problems using parametric equations, using technology when necessary.
Strand Bloom's Scope Source
Parametric Equations Application Master Applications of Learning, January 1999, Grade 11
  

Data Interpretation
The Data Interpretation Unit includes Competencies/Objectives which focus on the study and use of graphical forms. The Data Interpretation Unit includes data collection and classification, organization and display of data, logical reasoning and problem solving.

This unit includes presenting data in graphical forms and interpreting data given in graphical forms.

    Scatterplots: Construct
The learner will be able to create a scatterplot of data.
Strand Bloom's Scope Source
Scatterplots Comprehension Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.58.III.B. week tested: 34.
  
    Scatterplot: Draw/Line of Best Fit
The learner will be able to sketch a line of best fit.
Strand Bloom's Scope Source
Scatterplots Knowledge Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.58.III.B. week tested: 34.
  
    Scatterplot: Understand
The learner will be able to understand the concept of a scatterplot.
Strand Bloom's Scope Source
Scatterplots Comprehension Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.58.III.B.1 week tested: 34.
  
    Line of Best Fit: Understand
The learner will be able to understand the concept of line of best fit.
Strand Bloom's Scope Source
Scatterplots Comprehension Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.58.III.B.2 week tested: 34.
  
    Bar Graphs: Proportional Relationships
The learner will be able to use proportional relationships to extrapolate values on a bar graph.
Strand Bloom's Scope Source
Bar Graphs Application Master Applications of Learning, January 1999, Grade 11
  
    Line Graphs: Compare/Analyze
The learner will be able to identify values from a line graph, determine that addition or subtraction is needed to find an answer, compare values, and use critical thinking skills to analyze the graph.
Strand Bloom's Scope Source
Line Graphs Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Graphs: Evaluate Appropriateness
The learner will be able to evaluate the appropriateness of a given graphical form for a given set of data.
Strand Bloom's Scope Source
Graphing Evaluation Master Higher-Order Learning, January 1999, Grade 11
  
    Data Collection
The learner will be able to collect data.
Strand Bloom's Scope Source
Data Collection and Classification Knowledge Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.41,III.C week tested: 34.
  
    Data Collection: Organization
The learner will be able to organize data in many different ways.
Strand Bloom's Scope Source
Data Collection and Classification Comprehension Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.41,III.C week tested: 34.
  
    Graphs: Identify Question
The learner will be able to analyze a given graph and determine what question can be answered using this information.
Strand Bloom's Scope Source
Analyzing/Evaluating Graphical Forms Analysis Master Applications of Learning, January 1999, Grade 11
  
    Graphs: Evaluate Data Analysis
The learner will be able to determine the validity of an argument based on a given set of data.
Strand Bloom's Scope Source
Analyzing/Evaluating Graphical Forms Evaluation Master Higher-Order Learning, January 1999, Grade 11
  

Discrete Mathematics
The Discrete Mathematics Unit includes the concepts of discrete math, matrices and recursion.

    Discrete Mathematics: Apply Concepts
The learner will be able to apply the concepts and methods of discrete mathematics to illustrate and investigate many different practical scenarios.
Strand Bloom's Scope Source
Discrete Mathematics Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.41,III.D week tested: 34.
  
    Discrete Math: Interative/Recursive
The learner will be able to apply iterative and recursive patterns and processes to illustrate many different practical scenarios and solve problems.
Strand Bloom's Scope Source
Discrete Mathematics Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.41,III.E week tested: 34.
  

Fractions
The Fractions Unit includes Competencies/Objectives which focus on number sense and operations with fractions. The Fractions Unit includes comparison, ordering, fractions parts, estimation, reasoning and problem solving.

    Fractions: Understand
The learner will be able to understand fractions.
Strand Bloom's Scope Source
Fractions Comprehension Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.45,I.B.1 week tested: 34.
  

Functions
The Functions Unit includes exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions.

This unit includes exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions. The Functions Unit includes exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions.

    Trigonometric/Circular Functions
The learner will be able to analyze trigonometric and circular functions by graphing these functions, differentiating between their domains, solving real-world problems involving Laws of Sines and Laws of Cosines, and writing complex numbers in polar form.
Strand Bloom's Scope Source
Trigonometric/Circular Functions Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Connecting: Exponential/Logarithmic
The learner will be able to explore the relationship between exponential and logarithmic functions by evaluating graphs of exponential and logarithmic functions, comparing the domain and ranges of exponential and logarithmic functions, solving equations involving exponential and logarithmic functions, using properties of logarithmic functions to simplify expressions, and describing real-world scenarios using exponential and logarithmic functions.
Strand Bloom's Scope Source
Connecting Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Problem Solving: Rationals
The learner will be able to analyze and apply rational functions using graphical forms, group study projects, and technology (computers, calculators).
Strand Bloom's Scope Source
Problem Solving Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Problem Solving: Polynomial Functions
The learner will be able to analyze and apply polynomial functions using graphical forms, group study projects, and technology.
Strand Bloom's Scope Source
Problem Solving Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Trigonometric/Circular Functions: Domain
The learner will be able to identify differences between the domains of circular and trigonometric functions.
Strand Bloom's Scope Source
Trigonometric/Circular Functions Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Trigonometric/Circular Functions: Graph
The learner will be able to graph and analyze the 6 circular and trigonometric functions.
Strand Bloom's Scope Source
Trigonometric/Circular Functions Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Trigonometric/Circular Functions: Relate
The learner will be able to relate between the circular and trigonometric functions.
Strand Bloom's Scope Source
Trigonometric/Circular Functions Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Trigonometric/Circular Functions:Inverse
The learner will be able to analyze and graph inverse of both circular and trigonometric functions.
Strand Bloom's Scope Source
Trigonometric/Circular Functions Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Trigonometric/Circular Functions: Change
The learner will be able to perform changes to amplitude, period, phase shift, and vertical shift of circular and trigonometric functions.
Strand Bloom's Scope Source
Trigonometric/Circular Functions Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Circular Functions: Rotation
The learner will be able to list the values of the 6 circular functions for a specific rotation.
Strand Bloom's Scope Source
Circular Functions Knowledge Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Circular Functions: Model Real World
The learner will be able to see circular functions as models for periodic, real world functions.
Strand Bloom's Scope Source
Circular Functions Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Exponential Functions: Graph
The learner will be able to graph exponential functions.
Strand Bloom's Scope Source
Exponential Functions Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Exponential Functions: Real World
The learner will be able to solve real world problems involving exponential functions.
Strand Bloom's Scope Source
Exponential Functions Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Logarithmic Functions: Real World
The learner will be able to solve real world problems involving logarithmic functions.
Strand Bloom's Scope Source
Logarithmic Functions Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Logarithmic Functions: Base 10 and e
The learner will be able to evaluate a logarithmic function with base 10 and e and represent it on a graph.
Strand Bloom's Scope Source
Logarithmic Functions Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Exponential/Logarithmic: Domain/Range
The learner will be able to analyze exponential and logarithmic functions and compare their domains and ranges.
Strand Bloom's Scope Source
Exponential/Logarithmic Functions Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Exponential/Logarithmic: Relationships
The learner will be able to identify a logarithmic as the inverse of an exponential function.
Strand Bloom's Scope Source
Exponential/Logarithmic Functions Knowledge Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Trigonometric Functions/Polar/Complex
The learner will be able to see the relationship between trigonometric functions, polar coordinates, and complex numbers.
Strand Bloom's Scope Source
Trigonometric Functions Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Graphing: Asymptotes/Discontinuity Point
The learner will be able to find both asymptotes and points of discontinuity.
Strand Bloom's Scope Source
Graphing Functions Knowledge Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Rational Functions: Graph/Analyze
The learner will be able to graph and analyze a rational function.
Strand Bloom's Scope Source
Rational Functions Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Rational Functions: Application
The learner will be able to apply rational functions in real world situations.
Strand Bloom's Scope Source
Rational Functions Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Polynomial Functions: Evaluate/Graph
The learner will be able to graph and analyze the polynomial functions such as linear and quadratic.
Strand Bloom's Scope Source
Polynomial Functions Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Polynomial Functions: Roots
The learner will be able to find both real and complex roots of polynomial functions.
Strand Bloom's Scope Source
Polynomial Functions Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Polynomial Functions: Application
The learner will be able to solve real world problems using polynomial functions.
Strand Bloom's Scope Source
Polynomial Functions Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Calculus Series
  
    Functions: Illustrate
The learner will be able to apply different types of functions to illustrate mathematical or real-world situations.
Strand Bloom's Scope Source
Functions Application Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.41,IV.B week tested: 34.
  

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

This unit includes exploring geometric concepts from multiple perspectives.

    Figures: Analyze
The learner will be able to use appropriate mathematical abilities to study properties of three-dimensional figures by using models and by drawing and interpreting two-dimensional representations of them in problem scenarios.
Strand Bloom's Scope Source
Properties of Figures Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.47,II.A.11 week tested: 34.
  
    Figures: Recognize/Classify/Explain
The learner will be able to recognize, classify, and explain two- and three-dimensional figures using properties, terms, and relationships.
Strand Bloom's Scope Source
Figures: Two-/Three-Dimensional Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.47,II.A.7 week tested: 34.
  
    Figures: 2-D Illustrations of 3-D Object
The learner will be able to draw two-dimensional illustrations of three-dimensional objects through sketching shadows, projections, perspectives, and map views.
Strand Bloom's Scope Source
Figures: Representations Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.47,II.A.8 week tested: 34.
  
    Congruence/Similarity/Symmetry: Problem
The learner will be able to apply the ideas of symmetry, similarity, and congruence to problem solving.
Strand Bloom's Scope Source
Congruence/Similarity/Symmetry Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.47,II.A.10 week tested: 34.
  
    Congruence/Similarity/Symmetry
The learner will be able to understand the idea of symmetry, congruence, and similarity.
Strand Bloom's Scope Source
Congruence/Similarity/Symmetry Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.50,II.B.1, p.50,II.B.2, p.50,II.B.3 week tested: 34.
  
    Pythagorean Theorem: Problem Solving
The learner will be able to use appropriate mathematical abilities to solve problems applying the Pythagorean Theorem.
Strand Bloom's Scope Source
Pythagorean Theorem Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.54,II.C.10 week tested: 34.
  
    Transformations: Predict/Model
The learner will be able to use appropriate mathematical abilities to predict and model resulting figures when combining, subdividing, and changing figures in problem scenarios.
Strand Bloom's Scope Source
Transformations Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.50,II.B.17 week tested: 34.
  
    Transformations: Sequence
The learner will be able to use appropriate mathematical abilities to identify the sequence of transformations necessary to map one figure onto another figure in problem scenarios.
Strand Bloom's Scope Source
Transformations Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.50,II.B.14 week tested: 34.
  
    Transformations: Understand
The learner will be able to understand transformations including rotations, reflections, translations, and dilations.
Strand Bloom's Scope Source
Transformations Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.50,II.B.4 week tested: 34.
  
    Geometric Concepts: Properties/Pattern
The learner will be able to identify, visualize, study and use geometric properties, relationships, and patterns in real-world and/or problem solving scenarios using models, manipulatives, or technology.
Strand Bloom's Scope Source
Geometric Relationships Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 11, p.41,II.A, p.47,II.A week tested: 34.