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Chester Township Public Schools
Mathematics Curriculum
Mathematics - Grade 7

Algebraic Concepts

Properties: Identify
The learner will be able to analyze tables and graphs to identify properties and relationships. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Properties   Introduce NJ: Core Curriculum Content Standards, May 1996, Grade 7, Standard 4.13.8. National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Equations/Expressions: Analyzing
The learner will be able to demonstrate an understanding of equations and expressions by determining patterns in equations and expressions, by finding missing elements, by matching equations and expressions to models, manipulatives, and pictures, and by distinguishing between expressions and equations by explaining their purposes, (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Equations   Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Equations: Analyzing with Technology
The learner will be able to analyze the nature of equations, their representative value, possible solutions to equations, and how equations can be applied in real-world scenarios using computers, calculators, and other technology.
Strand Bloom's Scope Source Activities
Equations   Master NJ: Core Curriculum Content Standards, May 1996, Grade 7, Standard 4.13.11, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Solution Methods
The learner will be able to solve linear equations using trial and error, inspection, and concrete materials. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Linear Equations   Master NJ: Core Curriculum Content Standards, May 1996, Grade 7, Standard 4.13.10, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Inequalities: Exploring
The learner will be able to think about and discuss the nature of inequalities, their representative value, and how inequalities apply to real-world scenarios in an informal way. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Inequalities   Reinforce NJ: Core Curriculum Content Standards, May 1996, Grade 7, Standard 4.13.12, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Inequalities: Apply
The learner will be able to use appropriate mathematical abilities to apply inequalities to model and explain mathematical situations and real-world phenomena. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Inequalities   Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 8, p.37,IV.B.12 week tested: 34.,National Council of Teachers of Mathematics Curriculum and Evaluation Standard., Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Absolute Value: Identify
The learner will be able to identify and understand absolute value of a given number. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Absolute Value   Introduce NJ: Core Curriculum Content Standards, May 1996, Grade 7, Standard 4.13.7, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Operations: Inverse Relationships
The learner will be able to demonstrate the inverse relationship of addition/subtraction and multiplication/division to solve problems, and to explain and justify a solution, and read a real-world scenario requiring multiplication, identify the nature of the problem, key elements, and the operation needed, set up the equation, solve the equation, and understand how to divide to prove the solution. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Operations   Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Operational Symbols: Reasoning
The learner will be able to evaluate number sentences such as 348 x 1.5 ? 353, 45 x 1/2 ? 90, and 1/4 x 1/2 ? 8/1, replace the question marks with appropriate comparison symbols (<, =, >), and justify the symbol with a written or oral explanation. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Operations   Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Operations: Analyzing Powers/Roots
The learner will be able to extend an understanding of operations (addition, subtraction, multiplication, division) as they are applied to whole numbers to powers and roots. (NJCCCS 4,8).
Strand Bloom's Scope Source Activities
Basic Operations   Reinforce NJ: Core Curriculum Content Standards, May 1996, Grade 7, Standard 4.8.9. National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Operations: Analyzing/Rational
The learner will be able to extend an understanding of operations (addition, subtraction, multiplication, division) to fractions, decimals, integers, and other rational numbers. (NJCCCS 4,8).
Strand Bloom's Scope Source Activities
Basic Operations   Reinforce NJ: Core Curriculum Content Standards, May 1996, Grade 7, Standard 4.8.8. National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Algebraic Concepts: Real-World
The learner will be able to accurately describe, study and model real-world situations using algebraic concepts and processes. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Algebraic Concepts   Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.9,IV.B, p.37,IV.B week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Algebraic Concepts: Relationships
The learner will be able to create graphs, charts, tables, rules, and equations to represent algebraic relationships and patterns. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Algebraic Concepts   Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Variable/Expression/Equal./Inequal.
The learner will be able to comprehend and apply the concepts of variables, expressions, equalities and inequalities. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Variable   Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Algorithms: Explore/Solve Problems
The learner will be able to explore problems and formulate, explain and test algorithms for solving optimization problems. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Algorithms   Reinforce NJ: Core Curriculum Content Standards, May 1996, Grade 7, Standard 4.14.10, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Algorithms: Create
The learner will be able to use appropriate mathematical abilities to create an algorithm to perform a given task in problem scenarios. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Algorithms   Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.33,III.D.12 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Computation: Across Forms
The learner will be able to perform computations with whole numbers, fractions, decimals, integers, and rational numbers. (NJCCCS 4.8.8).
Strand Bloom's Scope Source Activities
Computation   Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Computation/Estimation
The learner will be able to create, analyze, apply and explain procedures for computation and estimation with whole numbers, fractions, decimals, integers, and rational numbers. (NJCCCS 4.8.10).
Strand Bloom's Scope Source Activities
Computation   Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Number Sense: Representing
The learner will be able to represent numerical situations and number patterns with tables, graphs, verbal rules, concrete materials, and number sentences and translate from one to another. (NJCCCS 4.13.6).
Strand Bloom's Scope Source Activities
Number Sense   Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Problem Solving: Manipulatives
The learner will be able to demonstrate an understanding of equations by reading or listening to a given scenario, and creating manipulatives to represent the scenario. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Problem Solving   Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
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.) (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Problem Solving   Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Problem Solving: Proportions/Percents
The learner will be able to analyze, apply, and discuss methods for solving problems involving proportions and percents. (NJCCCS 4.8.1).
Strand Bloom's Scope Source Activities
Problem Solving   Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Number Sentence: Understand/Open
The learner will be able to understand the concept of a number sentence and open sentence. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Number Sentence Comprehension Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.37,IV.B.1 week tested: 34.National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Order of Operations
The learner will be able to demonstrate an understanding of the standard algebraic order of operations. (NJCCCS 4.8.12).
Strand Bloom's Scope Source Activities
Order of Operations Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Order of Operations: Understand
The learner will be able to understand order of operations. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Order of Operations Comprehension Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.37,IV.B.3 week tested: 34.National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Properties: Understand/Operations
The learner will be able to conceptually understand the properties of arithmetic operations. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Properties Comprehension Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.11,I.B.12 week tested: 34.National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Equations: Represent
The learner will be able to use physical models to solve equations. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Solve Equations Application Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.37,IV.B.11 week tested: 34.,National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Equations: Substituting
The learner will be able to solve equations with one unknown variable (where there is no formula to apply) involving fractions, decimals, and integers by substituting. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Solve Equations Application Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Equations: Understand/Linear/Inequality
The learner will be able to understand linear equations and inequalities. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Linear Equations/Inequalities Comprehension Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.37,IV.B.2 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Solution Methods
The learner will be able to obtain solutions to elementary linear equations through the use of appropriate paper-and-pencil methods.
Strand Bloom's Scope Source Activities
Linear Equations Application Master NJ: Core Curriculum Content Standards, May 1996, Grade 7, Standard 4.13.10, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Absolute Value: Identifying
The learner will be able to identify the absolute value of a given number. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Absolute Value Knowledge Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.11,I.B.20 week tested: 34.,National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Absolute Value: Understand
The learner will be able to understand absolute value. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Absolute Value Comprehension Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.11,I.B.9, p.37,IV.B.4 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Expressions: Understand
The learner will be able to understand the concept of an expression. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Expressions Comprehension Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.35,IV.A.3, p.37,IV.B.1 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Expressions: Variable/Inverse Operations
The learner will be able to apply inverse operations to determine the value of a variable given as a written expression. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Expressions Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Expressions: Translate
The learner will be able to translate sentences into algebraic expressions and/or vice-versa. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Expressions Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Exponents: Roots
The learner will be able to understand exponents and roots. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Exponents Comprehension Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.11,I.B.7, p.11,I.B.8 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Exponents: Evaluate Expressions
The learner will be able to evaluate expressions involving powers and/or roots. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Exponents Synthesis Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.11,I.B.22 week tested: 34.National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Inverse Operations
The learner will be able to ""work backwards" to solve story problems. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Solution Methods Analysis Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Formulas: Rules
The learner will be able to understand rules or formulas. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Formulas Comprehension Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.35,IV.A.4 week tested: 34. Classroom
  
Variable
The learner will be able to understand the basic concept of a variable as representing an unknown quantity. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Variable Comprehension Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.35,IV.A.2, p.37,IV.B.1 week tested: 34.National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Algorithms: Understand Concept
The learner will be able to understand the concept of algorithms. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Algorithms Comprehension Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.33,III.D.5 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Algorithm: Perform
The learner will be able to perform an algorithm. (NJCCCS 4,1).
Strand Bloom's Scope Source Activities
Algorithms Comprehension Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.33,III.D.9 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
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Calculus and Pre-Calculus

Networks: Study/Apply
The learner will be able to use appropriate mathematical abilities to study and apply networks to real-world situations, and determine such things as the shortest path, and traversability. (NJCCCS 4.15).
Strand Bloom's Scope Source Activities
Graph Theory/Networks   Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.31,III.C.14 week tested: 34. Classroom
  
Problem Solving: Significant Digits
The learner will be able to comprehend and apply the concept of significant digits to solve problems. (NJCCCS 4.15.9).
Strand Bloom's Scope Source Activities
Problem Solving   Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.10,I.A.9 week tested: 34.; NJ: Core Curriculum Content Standards, May 1996, Grade 7, Standard 4.15.9 Classroom
  
Networks: Select
The learner will be able to select a suitable network to fit a problem scenario. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Graph Theory/Networks Analysis Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.31,III.C.9 week tested: 34. Classroom
  
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Data Interpretation

Table: Application
The learner will be able to construct, read and interpret displays of data such as tables and lists. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source Activities
Tables/Charts   Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 7, p.29,III.B.5, p.29,III.B.6 week tested: 34, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7. Classroom
  
Graphing: Apply/Appropriate
The learner will be able to choose and apply appropriate graphical forms. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source Activities
Graphing   Master NJ: Core Curriculum Content Standards, May 1996, Grade 7, Standard 4.12.10, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Graphs: Draw/Interpret
The learner will be able to draw and/or interpret graphs which model real-world phenomena. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Graphing   Master NJ: Core Curriculum Content Standards, May 1996, Grade 7, Standard 4.13.13, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Communicating: Graphical Forms/Solution
The learner will be able to use graphical forms to show a solution to a probability problem, to provide visual or condensed representation of an idea, to explain mathematical concepts, and to express real-world situations such as population variance, grades, marketing materials, sports statistics, and cultural trends. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Communicating   Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
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 Activities
Communicating   Master National Council of Teachers of Mathematics (NCTM), March, 1989, Seventh Grade Classroom
  
Analyzing: Graphical Forms
The learner will be able to demonstrate the ability to interpret graphical forms of data by evaluating graphical forms in the following areas: accuracy, organization, and appropriateness of the forms given a specific audience and purpose. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Analyzing/Evaluating Graphical Forms   Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
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 and the specific target . audiences. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Analyzing/Evaluating Graphical Forms   Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7 Classroom
  
Circle Graphs: Convert
The learner will be able to determine number represented by a percent on a given circle graph. (NJCCCS 4.1, 4.7).
Strand Bloom's Scope Source Activities
Circle Graphs Application Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Applications of Learning, January 1999, Chester Township Schools, Grades 7