Chester Township Public Schools
Mathematics Curriculum

Mathematics - Grade 3

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.

Grade 3

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

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

In this course students explore the world of numbers, algorithms, patterns, shapes, data, and spatial sense. Students engage in activities which require them to make sense of real-world data (collecting, discussing, and making conclusions about data), to conceptualize the symbolic value of numbers in various forms (including fractions and decimals), to perform operations with numbers, to justify solutions by articulating the reasons behind the solutions, and to use manipulatives as representative objects. The course emphasizes the need for students to make mathematical connections and to use mathematics principles to communicate, reason, and solve problems. The Terra Nova Complete Battery assesses students in third grade (Level 13).


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: Real-World Scenarios
The learner will be able to demonstrate an understanding of algebraic concepts by solving real-world scenario problems, and evaluate the nature and elements of problems, find solutions to given problems, and justify the solutions in writing, orally, or by using manipulatives. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Problem Solving Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Solution Methods: Addition/Subtraction
The learner will be able to describe procedures such as the following for addition and subtraction of whole numbers: mental arithmetic, estimation, computation, and using a calculator. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Solution Methods Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Solution Methods: Represent
The learner will be able to use manipulatives and skip counting to determine sums, differences, products, and quotients. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Solution Methods Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Number Sentence: Missing Element
The learner will be able to determine which operational symbol is missing from an equation. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Number Sentence Knowledge Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Identify Sentence
The learner will be able to identify the number sentence to be used in solving a word problem. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Identify Sentence Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Number Facts: Relating
The learner will be able to relate elementary addition, subtraction, multiplication, and/or division number facts to each other. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Fact Families Analysis Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Fact Families: Components
The learner will be able to identify all of the components completing a fact family. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Fact Families Knowledge Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Properties: Compare/Missing Element
The learner will be able to compare two equations and solve for a missing element in the two equations. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Missing Information Analysis Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Properties: Multiplicative Identity
The learner will be able to understand and apply the multiplicative identity. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Properties Application Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Multiple Step Story Problems
The learner will be able to determine whether word problems depicting real-world scenarios require addition, subtraction, and/or multiplication to be solved (numbers are less than 100) (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Multiple-step Problems Synthesis Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Inverse Operatio
The learner will be able to check the correctness of an answer by using the inverse operation. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Inverse Operations Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Equalities/Inequalities: Represent
The learner will be able to represent wit and without manipulative whole numbers up to 10,000. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Equality/Inequality Comprehension Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  

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.

    Bar Graphs: Identify/Compare
The learner will be able to identify or compare amounts in a bar graph. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source
Bar Graphs Knowledge Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Bar Graphs: Addition/Subtraction
The learner will be able to add or subtract information presented in the form of a bar graph. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source
Bar Graphs Comprehension Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Line Graphs
The learner will be able to identify, compare, and analyze points on a line graph. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source
Line Graphs Analysis Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Table: Addition
The learner will be able to add amounts from a table. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source
Tables/Charts Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Table: Story Problems
The learner will be able to use and interpret data in a table to solve real world story problems involving addition and/or subtraction. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source
Tables/Charts Application Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Table/Chart: Read
The learner will be able to read information in a table and/or chart. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source
Tables/Charts Application Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  

Decimals
The Decimals Unit includes Competencies/Objectives which focus on number sense and operations with decimals. The Decimals Unit includes comparison, computing, money, estimation, problem solving and reasoning.

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.

    Decimals for Part of a Set
The learner will be able to identify the decimals that correspond to partially shaded figures. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Decimals Comprehension Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Decimals and Equivalent Fractions
The learner will be able to determine equivalent fractions and decimals. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Decimals Comprehension Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Money: Decimal Notation
The learner will be able to use decimals to express money amounts. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Money Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Money: Represent/Compare Decimals
The learner will be able to represent and compare decimal amounts using money. (NJCCCS 4.1, 4.2).
Strand Bloom's Scope Source
Money Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  

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.

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.

    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
Add Fractions Knowledge Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    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
Subtract Fractions Knowledge Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Add/Subtract Fractions: Represent
The learner will be able to use manipulatives and drawings to represent addition and subtraction of common fractions. (NJCCCS 4.1).
Strand Bloom's Scope Source
Add/Subtract Fractions Application Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Fraction Parts: Unit Fractions
The learner will be able to show an understanding of unit fractions by matching them with appropriate representations. (NJCCCS 4.1).
Strand Bloom's Scope Source
Fraction Parts Comprehension Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    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
Fraction Parts Knowledge Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    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
Fractions Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    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
Compare Fractions Analysis Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  

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
The learner will be able to extend recognition of whole figures to the ability to analyze parts of figures, and classify figures by the similarities and differences of their parts. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source
Figures Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Patterns: Problem Solving
The learner will be able to solve problems involving geometry by applying the ability to study, recognize, and extend pictorial, concrete, and numerical patterns. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source
Geometric Patterns Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Spatial Thinking: Geometric Figures
The learner will be able to develop perception in spatial relationships by studying geometric figures in different sizes and positions, and by performing "mental flips" of the figures before holding them. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source
Spatial Thinking Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Solids: Cube/Properties
The learner will be able to identify the number of faces on a cube. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source
Three-Dimensional Solids Knowledge Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Figures: Drawing
The learner will be able to draw a geometric figure to help in solving a problem. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source
Problem Solving Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Figures: Use Models
The learner will be able to create models of various shapes. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source
Figures Application Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Figures: Real World Shapes
The learner will be able to identify shapes in real world objects and drawings. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source
Figures: Real World Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Figures: Terms
The learner will be able to apply the following geometric terms in discussing and comparing figures and shapes: parallel, perpendicular, intersection, similar, and circumference. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source
Figures: Vocabulary Comprehension Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Figures: Terms
The learner will be able to apply the following geometric terms in discussing and comparing figures and shapes: congruent, area, perimeter, and volume. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source
Figures: Vocabulary Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Line Segments: Measuring
The learner will be able to measure line segments. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source
Lines Application Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Lines/Rays: Properties
The learner will be able to recognize properties of line segments and rays. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source
Lines Knowledge Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Constructions: 3-D from 2-D
The learner will be able to construct a figure in 3 dimensions given a 2 dimensional guide. (NJCCCS 4.2, 4.4, 4.6).
Strand Bloom's Scope Source
Constructions Synthesis Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  

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.

This unit includes experimenting with formal, informal, customary, and metric units of measurement, and distinguishing between situations which call for exact measurement and those which call for estimation.

    Problem Solving: Manipulatives
The learner will be able to use manipulatives to solve a given real-world situation, show how measurement can be used to solve mathematical problems, evaluate a situation to determine the nature of the problem and relevant elements, and select the appropriate measurement tools (without being told the specific unit of measurement which should be used). (NJCCCS 4.9).
Strand Bloom's Scope Source
Problem Solving Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Communicating: Measurement Concepts
The learner will be able to use measurement terms, articulate how measurement terms relate to real-world objects, proportions, and amounts, justify why a particular form of measurement should be used, and distinguish between situations which call for estimation and those which call for exact measurement. (NJCCCS 4.9).
Strand Bloom's Scope Source
Communicating Measurement Concepts Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Problem Solving: Compose
The learner will be able to compose and solve a story problem involving measurements. (NJCCCS 4.9).
Strand Bloom's Scope Source
Problem Solving Application Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Length: Non-standard/Standard
The learner will be able to determine the length of an object using a non-standard and standard ruler. (NJCCCS 4.9).
Strand Bloom's Scope Source
Length Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Time: Units
The learner will be able to select the appropriate units (minutes, hours, days, weeks, months) to measure time. (NJCCCS 4.9).
Strand Bloom's Scope Source
Time Comprehension Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Time: Measuring Clock/Calendar
The learner will be able to measure time in clock terms (hours, minutes) and calendar terms (day, week, month). (NJCCCS 4.9).
Strand Bloom's Scope Source
Time Application Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Time: Match Analog/Digital Clocks
The learner will be able to read both analog and digital clocks and match equivalent times. (NJCCCS 4.9).
Strand Bloom's Scope Source
Time Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Time: Personal Experience/Clock Time
The learner will be able to discuss the passage of clock time (seconds, minutes, and hours) in relation to personal experiences. (NJCCCS 4.9).
Strand Bloom's Scope Source
Time Comprehension Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Time: Years Elapsed
The learner will be able to solve a story problem involving elapsed time (years) between 2 dates. (NJCCCS 4.9).
Strand Bloom's Scope Source
Time Application Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Money: Estimate Story Problem
The learner will be able to estimate the solution to a story problem involving money. (NJCCCS 4.9).
Strand Bloom's Scope Source
Money Application Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Temperature: Relating
The learner will be able to relate temperatures to real world situations. (NJCCCS 4.9).
Strand Bloom's Scope Source
Temperature Application Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Temperature: Compare
The learner will be able to make temperature comparisons. (NJCCCS 4.9).
Strand Bloom's Scope Source
Temperature Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Area: Compare
The learner will be able to compare the area of different figures. (NJCCCS 4.9).
Strand Bloom's Scope Source
Area Comprehension Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Weight: Appropriate Measure
The learner will be able to identify the appropriate measure for determining weight. (NJCCCS 4.9).
Strand Bloom's Scope Source
Weight Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Mass/Capacity: Measuring
The learner will be able to measure mass and capacity using both metric and standard units. (NJCCCS 4.9).
Strand Bloom's Scope Source
Weight Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Measurement: Metric/Standard
The learner will be able to measure the following to the nearest fractional unit in both metric and standard: length, weight, temperature, and capacity. (NJCCCS 4.9).
Strand Bloom's Scope Source
Measurement: Application Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Mass: Non-standard/Measure
The learner will be able to measure the mass of objects using non-standard units (blocks, beanbags, etc.). (NJCCCS 4.9).
Strand Bloom's Scope Source
Mass Application Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Area of a Rectangle: Count Square Units
The learner will be able to determine the area of rectangular figures by counting the square units within the figure. (NJCCCS 4.9).
Strand Bloom's Scope Source
Area of a Rectangle Knowledge Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Area of a Rectangle: Using Models
The learner will be able to use models to find the area of a rectangle. (NJCCCS 4.9).
Strand Bloom's Scope Source
Area of a Rectangle Application Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Estimate Measurements: Metric/Standard
The learner will be able to estimate length, weight, temperature, and capacity using both metric and standard units. (NJCCCS 4.9).
Strand Bloom's Scope Source
Measurement: Estimation Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  

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.

    Number Forms: Nature of Different Forms
The learner will be able to investigate numbers by engaging in activities which address the nature of different number forms, how different operations (addition, subtraction, multiplication, division) manipulate numbers, and which require the student to formulate analysis level questions. (NJCCCS 4.1,4.2, 4.6).
Strand Bloom's Scope Source
Number Forms Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Word Names: Less Than 100
The learner will be able to match word names with whole numbers up to 100. (NJCCCS 4.1,4.2, 4.6).
Strand Bloom's Scope Source
Word Names Knowledge Master National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Place Value: Applications
The learner will be able to determine the value of a number given clues about the place value of the numbers which comprise it. (NJCCCS 4.1,4.2, 4.6).
Strand Bloom's Scope Source
Place Value Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Place Value: Discuss/Write
The learner will be able to discuss and write about place value of numbers less than 1000. (NJCCCS 4.1,4.2, 4.6).
Strand Bloom's Scope Source
Place Value Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Odd/Even: Grouping
The learner will be able to apply the concept of odd and even numbers by grouping numbers in odd and/or even categories. (NJCCCS 4.1,4.2, 4.6).
Strand Bloom's Scope Source
Odd/Even Application Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Equivalent Forms: Represent Tenths
The learner will be able to associate decimals to fractional tenths through the use of manipulatives and drawings. (NJCCCS 4.1,4.2, 4.6).
Strand Bloom's Scope Source
Equivalent Forms Application Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Number Forms: Translating
The learner will be able to translate numbers between their word name (one) and numeric (1) form. (NJCCCS 4.1,4.2, 4.6).
Strand Bloom's Scope Source
Number Forms Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Number Forms: Values
The learner will be able to demonstrate the different number forms and values a number can have (i.e., five, 5, 4+1, 2+3, etc.). (NJCCCS 4.1,4.2, 4.6).
Strand Bloom's Scope Source
Number Forms Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Number Forms: Compare
The learner will be able to compare the values of the following number forms for whole numbers less than 1000: numeral, word name, expanded notation, and place value representation. (NJCCCS 4.1,4.2, 4.6).
Strand Bloom's Scope Source
Number Forms Comprehension Introduce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  

Numeration
The Numeration Unit focuses on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships.

This unit includes exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships. The Numeration Unit focuses on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships.

    Pattern: Predicting
The learner will be able to recognize the repetitive nature of patterns and make predictions about events, shapes, and sets of numbers based on these repetitions. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source
Patterns Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Ordering/Values: Number Sense
The learner will be able to demonstrate an intuitive sense of numbers, their values, and how they can logically be ordered by articulating the relationship between numbers (as elements of a given scenario) and the scenario itself, and by using manipulatives to describe the scenario. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source
Comparing/Ordering Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Pattern: Geometric Shapes
The learner will be able to identify the next shape in a geometric pattern. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source
Patterns: Geometric Application Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Greater Than/Less Than
The learner will be able to determine which of two numbers is greater than or less than the other. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source
Comparison Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Pattern: Continue
The learner will be able to continue patterns based on different attributes (color, texture, sound, shape, number, and size). (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source
Patterns: Identify/Describe/Continue Analysis Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Ordering: 3-Digit Numbers
The learner will be able to order three-digit numbers in the correct sequence. (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source
Ordering Numbers Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Ordering: Whole Numbers and Decimals
The learner will be able to order whole numbers (less than 100) . (NJCCCS 4.1, 4.2, 4.6).
Strand Bloom's Scope Source
Ordering Numbers Comprehension Reinforce National Council of Teachers of Mathematics Curriculum and Evaluation Standards, New Jersey Core Curriculum, Chester Township Schools, Third Grade.
  
    Estimation: Story Problems
The learner will be able to interpret word problems with illustrations and estimate appropriately. (NJCCCS 4.1, 4.2, 4.6).
Strand