Chester Township Public Schools
Mathematics Curriculum

Mathematics - Remedial Math II

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.

Remedial Math II

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

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

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

In this course students learn foundational mathematics concepts needed for a variety of vocational, industrial, and professional career fields. Students engage in activities which provide them with opportunities to perform operations and conversions with whole numbers, decimals, fractions, and percents. The course emphasizes the need for students to explore strategies which help them identify, approach, understand, and solve problems in real-world contexts. 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.

    Problem Solving: Evaluating Forms
The learner will be able to solve real-world problems involving whole numbers, fractions, decimals, percents, integers, scientific notation, and exponential notation by determining the operation required (addition, subtraction, multiplication, division), setting up the correct number sentence, solving the problem, and using inverse operations to check the solution.
Strand Bloom's Scope Source
Problem Solving Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Problem Solving: Evaluating Forms
The learner will be able to recognize a real-world situation which calls for operations (addition, subtraction, multiplication, or division) with fractions, decimals, percents, or integers, evaluate the situation, articulate the nature and elements of the problem, and solve the problem, without being cued about the operations required or number form (fractions, decimals, etc.).
Strand Bloom's Scope Source
Problem Solving Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Problem Solving: Evaluating Forms
The learner will be able to recognize a real-world situation which calls for operations (addition, subtraction, multiplication, or division) with fractions, decimals, percents, or integers (without being cued that the calculations involved would require a specific operation or number form), evaluate the situation, articulate the nature and elements of the problem, solve the problem, and use inverse operations to check the solution.
Strand Bloom's Scope Source
Problem Solving Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Translate Problems: Two Variables
The learner will be able to translate a given real-world scenario (delivered orally or in a written prompt) into an equation or inequality with two variables, use order of operations to solve the equation, and apply inverse operations to check the answer.
Strand Bloom's Scope Source
Relating Number Sentences/Problems Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Solution Methods: Equation/Inequality
The learner will be able to solve real world situations by using linear equations, inequalities, and multiple representations.
Strand Bloom's Scope Source
Solution Methods Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Missing Elements
The learner will be able to determine how to solve for an unknown variable when given the problem in written form.
Strand Bloom's Scope Source
Missing Information Analysis Master Applications of Learning, January 1999, Grade 9
  
    Order of Operations: Determine
The learner will be able to determine the correct order of calculations when more than one operation is to be performed.
Strand Bloom's Scope Source
Order of Operations Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Order of Operations: Fractions
The learner will be able to determine the correct order of operations for an equation containing fractions.
Strand Bloom's Scope Source
Order of Operations Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Order of Operations: Decimals
The learner will be able to determine the correct order of operations for an equation containing decimal numbers.
Strand Bloom's Scope Source
Order of Operations Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series; Foundations of Learning, January 1999, Grade 9
  
    Properties: Real Numbers
The learner will be able to identify and use properties of real numbers.
Strand Bloom's Scope Source
Properties Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Multiple Step Problems: Writing
The learner will be able to compose both problems and story problems requiring multiple operations.
Strand Bloom's Scope Source
Write/Create Story Problems Synthesis Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Expressions: Represent
The learner will be able to interpret expressions using models and manipulatives.
Strand Bloom's Scope Source
Expressions Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Expressions: Real World
The learner will be able to evaluate expressions (and formulas) when the expressions are presented within the context of a real-world problem.
Strand Bloom's Scope Source
Expressions Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Exponents: Multiplying
The learner will be able to multiply two whole numbers with different exponents.
Strand Bloom's Scope Source
Exponents Comprehension Master Foundations of Learning, January 1999, Grade 9
  
    Exponents: Dividing
The learner will be able to divide 2 whole numbers with different exponents.
Strand Bloom's Scope Source
Exponents Comprehension Master Foundations of Learning, January 1999, Grade 9
  
    Operations: Relationships
The learner will be able to determine relationships between operations on whole numbers, decimals, fractions, and integers with and without the use of technology (calculators).
Strand Bloom's Scope Source
Operations Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Inverse Operations: Whole/Real Numbers
The learner will be able to use inverse operations to extend the system of whole numbers to the system of real numbers.
Strand Bloom's Scope Source
Inverse Operations Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Rates
The learner will be able to compare the prices of several items.
Strand Bloom's Scope Source
Rates Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Variable/Expression/Equation
The learner will be able to comprehend the concepts of variable, expression, and equation.
Strand Bloom's Scope Source
Variable Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Algorithms: Real World Problems
The learner will be able to manipulate algorithms as models in solving real world problems.
Strand Bloom's Scope Source
Algorithms Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Solution Tools: Analysis
The learner will be able to analyze which solution tool would best solve a problem: calculator, pencil and paper, mental math.
Strand Bloom's Scope Source
Solution Methods Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  

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.

    Communicating: Graphical Forms/Creating
The learner will be able to communicate complex ideas effectively by creating graphical forms of data, including collecting data from a variety of sources, consolidating raw data, and selecting appropriate elements of the data to organize and include in a logical graphical form.
Strand Bloom's Scope Source
Communicating Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Analyzing: Graphical Forms
The learner will be able to use graphical forms (tables, bar graphs, maps, and information pyramids) to derive information, interpret information, and draw conclusions about real-world phenomena such as population shifts, factors of population shifts, areas of population shifts, etc.
Strand Bloom's Scope Source
Analyzing/Evaluating Graphical Forms Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Analyzing: Graphical Forms
The learner will be able to demonstrate the ability to interpret graphical forms of data by articulating the details, facts, and concepts presented in the forms, and by evaluating the reasonableness of specific graphical forms given the types of information presented in the forms.
Strand Bloom's Scope Source
Analyzing/Evaluating Graphical Forms Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Evaluating: Graphical Forms
The learner will be able to evaluate a given graph to determine if the information is reasonable, if the graph format is the most effective one for the type of information presented, and to find possible inconsistencies in the information contained in the graph.
Strand Bloom's Scope Source
Analyzing/Evaluating Graphical Forms Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Scatterplots: Story Problems
The learner will be able to solve real world problems using scatterplots as models.
Strand Bloom's Scope Source
Scatterplots Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Bar Graphs: Analyze
The learner will be able to analyze data on a bar graph to make judgments about the graph.
Strand Bloom's Scope Source
Bar Graphs Evaluation Master Higher-Order Learning, January 1999, Grade 9
  
    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 The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Pictographs
The learner will be able to identify, compare, and add or subtract amounts read from pictographs.
Strand Bloom's Scope Source
Pictographs Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Chart/Graph: Scale/Interpret
The learner will be able to understand scales given on graphs, tables, and charts.
Strand Bloom's Scope Source
Tables/Charts Comprehension Master Foundations of Learning, January 1999, Grade 9
  
    Table: Classification
The learner will be able to determine the method by which information is classified within a table to determine where new information should be placed.
Strand Bloom's Scope Source
Tables/Charts Application Master Applications of Learning, January 1999, Grade 9
  
    Table: Rearrange
The learner will be able to rearrange and read information from a table using a new criteria.
Strand Bloom's Scope Source
Tables/Charts Comprehension Master Foundations of Learning, January 1999, Grade 9
  
    Table: Predict
The learner will be able to make predictions and decisions based on real-world data presented in the form of a table.
Strand Bloom's Scope Source
Tables/Charts Evaluation Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Logical Reasoning: Making Predictions
The learner will be able to use real world data to make predictions from data presented in scatterplots, diagrams of frequency distributions, histograms, and stem-and-leaf plots.
Strand Bloom's Scope Source
Logical Reasoning Synthesis Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Graphs: Construct
The learner will be able to construct graphs recording information in tables, bar graphs, line graphs, and pictographs.
Strand Bloom's Scope Source
Graphing Synthesis Master Higher-Order Learning, January 1999, Grade 9
  
    Diagram: Problem Solving
The learner will be able to solve real-world problems using diagrams.
Strand Bloom's Scope Source
Diagrams Application Master Applications of Learning, January 1999, Grade 9
  
    Graphs: Data/Story Problems
The learner will be able to interpret graphical data to solve story problems.
Strand Bloom's Scope Source
Analyzing/Evaluating Graphical Forms Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Evaluate Graphical Forms: Select Display
The learner will be able to choose the most suitable form and/or method of data display.
Strand Bloom's Scope Source
Analyzing/Evaluating Graphical Forms Analysis Master Applications of Learning, January 1999, Grade 9
  
    Graphs: Summarize Data
The learner will be able to make appropriate summaries about data presented in charts, tables, and graphs.
Strand Bloom's Scope Source
Analyzing/Evaluating Graphical Forms Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    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 The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  

Decimals
This unit includes comparing decimals, performing operations with decimals, converting decimals to other number forms, using manipulatives to demonstrate decimals, and solving problems with decimals in real-world contexts.

    Problem Solving: Application
The learner will be able to evaluate, solve, and justify solutions for real-world mathematical problems which include ambiguous circumstances.
Strand Bloom's Scope Source
Problem Solving Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Problem Solving: Application
The learner will be able to use manipulatives, calculators, symbols, mental math, and diagrams to solve real-world scenario problems which call for the rounding, addition, subtraction, multiplication, and division of decimals. This process includes evaluating a given problem scenario, identifying the problem, determining the relevant elements and the required operation (without being cued about the operation the problem would require), setting up a number sentence, solving the problem, using inverse operations to check the solution, and articulating to others the solution and the reasoning behind the solution.
Strand Bloom's Scope Source
Problem Solving Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Estimating
The learner will be able to employ strategies for estimating the range of an answer, or the number of digits in an answer to addition, subtraction, multiplication, or division problems, and articulate these strategies to others.
Strand Bloom's Scope Source
Reasoning/Estimation Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Reasoning: Using Decimals
The learner will be able to incorporate a variety of estimation techniques such as front-ending, clustering, averaging, rounding compatible numbers, and special cases, to check the reasonableness of solutions, and articulate responses in either oral or written form.
Strand Bloom's Scope Source
Reasoning/Estimation Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Addition Story Problems
The learner will be able to solve story problems involving adding 3 numbers with decimals.
Strand Bloom's Scope Source
Add Decimals Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Subtraction Story Problems
The learner will be able to solve story problems involving subtracting decimals.
Strand Bloom's Scope Source
Subtract Decimals Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Addition/Subtraction Decimals
The learner will be able to add, subtract, and compare decimals using the correct order of operations when necessary.
Strand Bloom's Scope Source
Add/Subtract Decimals Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Multiplication Story Problems
The learner will be able to solve real-world story problems by determining that multiplication is required, by regrouping the numbers, and by multiplying the appropriate decimals up to the hundredths position.
Strand Bloom's Scope Source
Multiply Decimals Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Multiplication/Division Decimals
The learner will be able to multiply, divide, and compare decimals using the correct order of operations when necessary.
Strand Bloom's Scope Source
Multiply/Divide Decimals Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Decimals: Rounding
The learner will be able to round decimal numbers to the nearest whole number, tenths, and hundredths place, in the context of a problem involving money amounts.
Strand Bloom's Scope Source
Decimals Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Decimals and Equivalent Fractions
The learner will be able to determine equivalent fractions and decimals.
Strand Bloom's Scope Source
Decimals Comprehension Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Division Story Problems
The learner will be able to solve story problems by dividing decimals up to the hundredths position.
Strand Bloom's Scope Source
Divide Decimals Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Compare Decimals: Up to 0.000001
The learner will be able to compare decimal numbers up to the millionths place (0.000001) using the order symbols (<, >, =).
Strand Bloom's Scope Source
Compare Decimals Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  

Fractions
This unit includes comparing fractions, performing computations with fractions, converting fractions to other number forms, using manipulatives to demonstrate fractions, and solving problems with fractions in real-world contexts.

    Reasoning: Using Fractions
The learner will be able to incorporate a variety of estimation techniques such as front-ending, clustering, averaging, rounding compatible numbers, and considering special cases, to check the reasonableness of solutions to problems involving fractions.
Strand Bloom's Scope Source
Reasoning/Estimation Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Adding: Mixed Fractions
The learner will be able to add mixed fractions.
Strand Bloom's Scope Source
Add Fractions Knowledge Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Addition Story Problems
The learner will be able to add two fractions, either mixed fractions or with different denominators, in the context of a story problem.
Strand Bloom's Scope Source
Add Fractions Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Subtraction Story Problems
The learner will be able to solve story problems involving subtracting two fractions with the same or different denominators.
Strand Bloom's Scope Source
Subtract Fractions Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Subtracting Mixed Fractions
The learner will be able to subtract two mixed fractions.
Strand Bloom's Scope Source
Subtract Fractions Knowledge Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Addition/Subtraction Fractions
The learner will be able to add or subtract fractions and mixed fractions, including finding a lowest common denominator and reducing the answer to its lowest terms.
Strand Bloom's Scope Source
Add/Subtract Fractions Knowledge Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Multiplication: Mixed Fractions
The learner will be able to multiply either two mixed fractions or a fraction and a whole number.
Strand Bloom's Scope Source
Multiply Fractions Knowledge Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Multiplication Story Problems
The learner will be able to multiply two fractions, a fraction and a whole number, or a mixed fraction and a whole number in the context of a story problem.
Strand Bloom's Scope Source
Multiply Fractions Knowledge Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Division: Mixed Fractions
The learner will be able to divide two mixed fractions or divide a whole number by a fraction.
Strand Bloom's Scope Source
Divide Fractions Knowledge Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Division Story Problems
The learner will be able to divide a fraction by a whole number or a mixed fraction by a whole number.
Strand Bloom's Scope Source
Divide Fractions Knowledge Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Fraction Parts: Part of a Set
The learner will be able to show an understanding of fractions by matching fractions with the appropriate diagrams of partially shaded figures.
Strand Bloom's Scope Source
Fraction Parts Knowledge Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Fractions: Understanding
The learner will be able to compare a fraction with its reduced form, find lowest common denominators, identify reciprocals, and compare a fraction with its lowest term, whole numbers, fractions, and improper fractions.
Strand Bloom's Scope Source
Fractions Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Fractions: Multiple Step Story Problems
The learner will be able to solve story problems involving multiple operations with fractions.
Strand Bloom's Scope Source
Fractions Application Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Compare Fractions: Equivalent/Mixed
The learner will be able to compare 2 equivalent fractions and equivalent and mixed fractions.
Strand Bloom's Scope Source
Compare Fractions Analysis Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  

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: Unseen Faces
The learner will be able to describe, explore, and compare the unseen faces of various three dimensional figures.
Strand Bloom's Scope Source
Figures Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Transformations: Explaining
The learner will be able to explain transformations in writing, and construct diagrams and graphs which illustrate the process.
Strand Bloom's Scope Source
Transformations Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Line Segments: Properties
The learner will be able to apply the basic properties of line segments.
Strand Bloom's Scope Source
Lines Application Master Applications of Learning, January 1999, Grade 9
  
    Triangles: Sum Theorem/Finding Angle
The learner will be able to determine the unknown angle of a given triangle by using the measures of the other 2 angles and the triangle sum theorem.
Strand Bloom's Scope Source
Triangles Comprehension Master Foundations of Learning, January 1999, Grade 9
  
    Logic: Conditional Statements
The learner will be able to analyze a conditional statement and determine whether it is true or false.
Strand Bloom's Scope Source
Logic Analysis Master Applications of Learning, January 1999, Grade 9
  
    Reasoning: Terms
The learner will be able to draw logical conclusions about situations with concrete materials using the following terms: and, or, if...then, all, some, none, not, and out of.
Strand Bloom's Scope Source
Logic Evaluation Master Higher-Order Learning, January 1999, Grade 9
  
    Reasoning: Syllogisms
The learner will be able to compose syllogisms using "if...then" types of hypotheses.
Strand Bloom's Scope Source
Logic Synthesis Master Higher-Order Learning, January 1999, Grade 9
  
    Logic: Conditional Statement
The learner will be able to compose conditional statements when making logical arguments.
Strand Bloom's Scope Source
Logic Synthesis Master Higher-Order Learning, January 1999, Grade 9
  
    Logic: Verify Conclusion/Indirect Reason
The learner will be able to apply indirect reasoning and other laws of logic to evaluate the validity of a conclusion.
Strand Bloom's Scope Source
Logic Evaluation Master Higher-Order Learning, January 1999, Grade 9
  
    Logic: Applying/Proofs
The learner will be able to use logic to prove a statement using a given premise.
Strand Bloom's Scope Source
Logic Synthesis Master Higher-Order Learning, January 1999, Grade 9
  
    Logic: Arguments/Conjectures
The learner will be able to identify various points of view by making arguments and conjectures.
Strand Bloom's Scope Source
Logic Evaluation Master Higher-Order Learning, January 1999, Grade 9
  
    Congruency: Congruent Figures/Apply
The learner will be able to analyze how geometric principles related to congruency are applied in real-world problem solving.
Strand Bloom's Scope Source
Congruence Analysis Master Applications of Learning, January 1999, Grade 9
  
    Congruency: Proving Theorems
The learner will be able to use properties of congruent polygons in proving theorems.
Strand Bloom's Scope Source
Congruence Application Master Applications of Learning, January 1999, Grade 9
  
    Congruence: Quadratic Congruence
The learner will be able to determine quadratic congruence.
Strand Bloom's Scope Source
Congruence Comprehension Master Foundations of Learning, January 1999, Grade 9
  

Integers
This unit includes comparing integers, performing operations with integers, converting integers to other number forms, using manipulatives to demonstrate integers, and solving problems with integers in real-world contexts.

    Addition/Subtraction: Order
The learner will be able to add and subtract positive and negative numbers using the correct order of operations when parentheses are involved.
Strand Bloom's Scope Source
Add/Subtract Integers Master The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series
  
    Reasoning: Using Integers
The learner will be able to incorporate a variety of estimation techniques such as front-ending, clustering, averaging, rounding compatible numbers, and considering special cases, to check the reasonableness of solutions to problems involving integers.
Strand Bloom's Scope Source
Reasoning/E