| 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.
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.
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.
Discrete Mathematics
The Discrete Mathematics Unit includes the concepts of discrete math, matrices and recursion.
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.
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.
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.
Measurement
The Measurement Unit includes Competencies/Objectives which focus on measurement concepts, applications, and analysis. The Measurement Unit includes concepts of length, area, circumference, perimeter, volume, weight, formulas, distance, calendar, money, tools, accuracy, units, constructions, patterns and problem solving.
Number Theory
The Number Theory Unit focuses on manipulating number forms and classifications. Students make connections between number forms and their real-world applications.
This unit includes manipulating number forms and classifications. Students make connections between number forms and their real-world applications.
The Number Theory Unit focuses on manipulating number forms and classifications. Students make connections between number forms and their real-world applications.
Numeration
The Numeration Unit focuses on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships.
Percents
The Percent Unit focuses on the concept of percent. This unit includes performing operations with percents, converting percents to other number forms, using manipulatives to demonstrate percents, and solving problems with percents in real-world contexts.
Perspective/Role in Society
The Perspective/Role in Society Unit focuses on real-world mathematics. This units includes mathematics in society and the role of mathematics in personal finance and careers.
Probability/Statistics
The Probability/Statistics Unit focuses on data analysis and probability concepts. This unit includes collecting, analyzing, and making sense of real-world data (including overlapping data, inconclusive data, etc.).
Problem Solving
The Problem Solving Unit focuses on the problem solving effort. This unit includes analyzing problems, evaluating solutions, problem exploration, and strategies.
Rational and Irrational Numbers
The Rational and Irrational Numbers Unit includes manipulating, comparing, and performing operations with rational numbers.
Real Numbers and the Coordinate Plane
The Real Numbers and the Coordinate Plane Unit includes graphing equations, and making connections between algebraic concepts and their geometric correspondences.
Technology
This unit includes studying computer hardware and software, uses for calculators, and applications of technology in problem solving.
Trigonometry
The Trigonometry Unit includes studying triangles, trigonometric ratios, and triangle measurements, applying triangle properties, and solving right triangle problems.
This unit includes studying triangles, trigonometric ratios, and triangle measurements, applying triangle properties, and solving right triangle problems.
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