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Chester Township Public Schools
Mathematics Curriculum
Mathematics - Grade 4

Algebraic Concepts

Applying: Measurement Concepts
The learner will be able to develop an understanding of how to apply measurement concepts to find the measurements of a variety of geometric shapes and objects. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Measurement: Application   Reinforce NJ: Core Curriculum Content Standards, May 1996, Grade 4, Standard 4.7.9, National Council of National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Number Sentence: Solutions
The learner will be able to use appropriate mathematical abilities to obtain problem solutions to simple open sentences involving one operation. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Number Sentence   Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.28,V.B.5 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
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). (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Properties   Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.13,I.D.2 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Properties: Applying
The learner will be able to develop an understanding of and use properties of operations and numbers. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Properties   Reinforce NJ: Core Curriculum Content Standards, May 1996, Grade 4, Standard 4.13.3, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Operations: Understand
The learner will be able to conceptually understand the meanings of the four basic operations. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Basic Operations   Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.13,I.D.1 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Inverse Operations: Understand
The learner will be able to conceptually understand inverse operations (addition and subtraction, multiplication and division). (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Inverse Operations   Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.13,I.D.3 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Algebraic Concepts: Applying
The learner will be able to develop an understanding of algebraic concepts and processes through experiences which enable them to describe, represent, and analyze relationships among variable quantities. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Algebraic Concepts   Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.60,4.13 week tested: 34.; NJ: Core Curriculum Content Standards, May 1996, Grade 4, Standard 4.13, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Computation: Mental Methods
The learner will be able to conceptually understand many different mental computation methods, including number facts, mental math, and estimation. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Computation   Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.15,I.F.1 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Computation: Strategies
The learner will be able to use a variety of computation strategies in appropriate contexts: mental math, estimation, paper and pencil, calculators, and computer programs. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Computation   Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.15,I.F week tested: 34.; NJ: Core Curriculum Content Standards, May 1996, Grade 4, Standard 4.8.6, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Number Sense
The learner will be able to use suitable mathematical abilities in applying whole numbers (through seven digits), commonly used fractions, in problem scenarios. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Number Sense   Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.10,I.A.6 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Number Sentence: Create/Rule
The learner will be able to create an open sentence from a given rule. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Number Sentence Application Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.28,V.B.2 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Properties: Multiplication by 0
The learner will be able to understand and apply the multiplication property of 0. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Properties Application Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Equations: Whole Numbers
The learner will be able to identify the whole numbers that correspond to given whole number equations. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Equations Knowledge Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Operations: Represent/Problem Solving
The learner will be able to use manipulatives to represent the meaning and effect of basic operations within different problem solving situations. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Basic Operations Comprehension Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.13,I.D week tested: 34.; NJ: Core Curriculum Content Standards, May 1996, Grade 4, Standard 4.8.1, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Algebraic Concepts: Problem Solving
The learner will be able to use algebraic methods to solve mathematical problems. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Algebraic Concepts Application Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.60,4.13 week tested: 34.; NJ: Core Curriculum Content Standards, May 1996, Grade 4, Standard 4.13. National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Algorithm: Explain
The learner will be able to explain an algorithm. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Algorithms Comprehension Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.25,IV.C week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Algorithms: Follow
The learner will be able to follow an algorithm to complete a task, (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Algorithms Comprehension Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.25,IV.C, p.25,IV.C.1 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Symbols: Use Symbols
The learner will be able to use the less than, greater than, and equal to symbols (<,>,=). (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Symbols Application Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.12,I.C.4 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
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Data Interpretation

Tables: Grid/Problem Solving
The learner will be able to apply appropriate mathematical abilities to solve problems using data from a table or grid. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source Activities
Tables/Charts   Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.20,III.B.5 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Table: Grid/Construct
The learner will be able to use appropriate mathematical abilities to construct a grid or table using data in problem scenarios. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source Activities
Tables/Charts   Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.20,III.B.7 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Analyzing Graphical Forms
The learner will be able to use appropriate mathematical abilities to interpret information from a map, grid, or table in problem scenarios. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source Activities
Analyzing/Evaluating Graphical Forms   Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.20,III.B.6 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Circle Graphs: Interpret
The learner will be able to draw logical conclusions from interpreting data in a circle graph. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source Activities
Circle Graphs Analysis Master NJ: Core Curriculum Content Standards, May 1996, Grade 4, Standard 4.12.5 Classroom
  
Bar Graphs: Construct/Interpret
The learner will be able to construct and interpret picture and bar graphs. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source Activities
Bar Graphs Application Reinforce NJ: Core Curriculum Content Standards, May 1996, Grade 4, Standard 4.12.5 Classroom
  
Pictographs: Read
The learner will be able to read pictographs. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source Activities
Pictographs Comprehension Master NJ: Core Curriculum Content Standards, May 1996, Grade 4, Standard 4.12.5 Classroom
  
Pictographs: Interpret
The learner will be able to interpret information given in pictographs. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source Activities
Pictographs Comprehension Master NJ: Core Curriculum Content Standards, May 1996, Grade 4, Standard 4.12.5 Classroom
  
Graphs: Create From Table
The learner will be able to create a graph from a table. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source Activities
Graphing Comprehension Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.28,V.B.3 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Data Collection
The learner will be able to collect data. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source Activities
Data Collection and Classification Knowledge Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.24,IV.B week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Data Collection: Organization
The learner will be able to organize data in many different ways. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source Activities
Data Collection and Classification Comprehension Reinforce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.24,IV.B week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
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Subtraction Story Problems
The learner will be able to solve subtraction story problems depicting real-world money and other decimal scenarios by determining that subtraction is required, by regrouping, and by subtracting the appropriate decimal numbers (numbers are less than 100) (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Subtract Decimals Analysis Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Multiply Decimal and Whole Numbers
The learner will be able to multiply a decimal number by a 1 digit whole number (regrouping when necessary). (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Multiply Decimals Knowledge Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Decimals: Understand
The learner will be able to conceptually understand decimals (tenths, hundredths, and values greater than one). (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Decimals Comprehension Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.10,I.A.4, p.10,I.A.5 week tested: 34, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Money: Estimating Small Amounts
The learner will be able to use prior knowledge to estimate the possible prices of small items (candy, toys, etc.). (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source Activities
Money Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
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Add/Subtract Fractions: Models
The learner will be able to perform addition and/or subtraction on fractions with the same denominators through the use of models. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Add/Subtract Fractions   Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.16,I.G.1 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Problem Solving: Explore
The learner will be able to use models to explore operations with fractions. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Exploring   Introduce NJ: Core Curriculum Content Standards, May 1996, Grade 4, Standard 4.8.4, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Communicating: Using Fractions
The learner will be able to use fractions to express proportions appropriately. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Communicating   Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Fractions: Models
The learner will be able to apply models to perform operations on common fractions. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Fractions   Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.16,I.G week tested: 34.,National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Number Sense: Using Bar Graphs
The learner will be able to demonstrate an understanding of the relationships among fractions (simple, mixed, improper) by creating a bar graph which accurately represents a given series of simple, mixed, and improper fractions. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Number Sense   Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Number Sense: Using Fractions
The learner will be able to explore fractions and use an intuitive sense of fractions as proportions and/or ratios to evaluate the reasonableness of a given problem and solution. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Number Sense   Introduce National Council of Teachers of Mathematics (NCTM), March, 1989, Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Add 2 Fractions: Same Denominator
The learner will be able to add two fractions with the same denominator where denominators are less than 10. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Add Fractions Knowledge Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Add Fraction to a Whole Number
The learner will be able to add a fraction to a whole number. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Add Fractions Knowledge Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Subtract Fractions: Same Denominator
The learner will be able to subtract two fractions with the same denominator where denominators are less than 40. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Subtract Fractions Knowledge Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Add/Subtract Fractions: Solution Methods
The learner will be able to use manipulatives, mental math, and calculators to find sums and differences of fractions. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Add/Subtract Fractions Comprehension Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
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. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Fraction Parts Knowledge Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Fraction Parts: Story Problem/Picture
The learner will be able to solve a fraction story problem by determining the fraction for a part of a set given a picture showing a partially shaded diagram. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Fraction Parts Application Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Fractions: Understand
The learner will be able to conceptually understand commonly used fractions (halves, thirds, fourths, sixths, eighths, tenths). (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Fractions Comprehension Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.10,I.A.3, p.10,I.A.5 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, Chester Township Schools, Fourth Grade. Classroom
  
Fractions: Lowest Terms
The learner will be able to reduce a given fraction to its lowest terms. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Fractions Knowledge Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Fractions: Proper/Represent
The learner will be able to use manipulatives and drawings to represent proper fractions. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Fractions Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Fractions: Multiple Step Problems
The learner will be able to solve multiple step problems involving fractions. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Fractions Application Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Compare Fractions: Unit/Represent
The learner will be able to use manipulatives, number lines, and drawings to compare unit fractions. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Compare Fractions Analysis Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Compare Fractions: Picture
The learner will be able to compare fractions by both evaluating 2 partially shaded figures and comparing the size of 2 fractions. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Compare Fractions Analysis Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Compare Fractions
The learner will be able to order and compare fractions, compare fractions with different denominators, compare a fraction with its lowest term, find a missing number in a fraction equation, and identify, from a list of fractions with different denominators, which fraction is the largest. (NJCCCS 4.1).
Strand Bloom's Scope Source Activities
Compare Fractions Analysis Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
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Solids: Identify/Classify/Explain
The learner will be able to use appropriate mathematical abilities to apply properties, definitions, and relationships in the identification, classification, and explanation of three-dimensional geometric shapes, including number of faces, edges, and vertices, in problem scenarios. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source Activities
Three-Dimensional Solids   Master NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.19,III.A.8 week tested: 34.,National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Solids: Exploring
The learner will be able to explore three-dimensional solids using drawings, concrete objects, and computer graphics. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source Activities
Three-Dimensional Solids   Introduce NJ: Core Curriculum Content Standards, May 1996, Grade 4, Standard 4.7.3, National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Solids: Understand Properties
The learner will be able to conceptually understand the properties of three-dimensional solids, including number of faces, edges, and vertices. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source Activities
Three-Dimensional Solids   Introduce NJ: Assessments (ESPA, GEPA, HSPA), February 1998, Grade 4, p.19,III.A.6 week tested: 34., National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Fourth Grade. Classroom
  
Solids: Models/Determine Cubes
The learner will be able to use appropriate mathematical abilities in using models to find the number of cubes in a solid in problem scenarios. (NJCCCS 4.2, 4.4, 4.6).