Chalkboard
Index
 

Mission Statement
Introduction
Credits


© 2006 by EAST LONGMEADOW PUBLIC SCHOOLS and Scantron Corporation.
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EAST LONGMEADOW PUBLIC SCHOOLS
2006 - 2007 DISTRICT CURRICULUM GUIDES
Mathematics - Grade 6

Algebraic Concepts

Expressions: Evaluate/Symbolic/Algebraic
The learner will be able to evaluate a symbolic algebraic expression for a particular value of the variable involved and simplify expressions.
Strand Scope Source
Expressions Master MA: Curriculum Framework, 2000, Grade 6, 6.P.2
  
Operations: Choose/Apply/Suitable
The learner will be able to choose and apply suitable operations to obtain problem solutions involving addition, subtraction, division, multiplication, and positive integer powers with whole numbers, positive fractions, mixed numbers, decimals, and percents.
Strand Scope Source
Operations Master MA: Curriculum Framework, 2000, Grade 6, 6.N.9
  
Algebraic Concepts: Constant Rate
The learner will be able to recognize and explain the relationships that exist between two variables exhibiting a constant rate of change, and compare this relationship with a varying rate of change.
Strand Scope Source
Algebraic Concepts Master MA: Curriculum Framework, 2000, Grade 6, 6.P.7
  
Variables: Create/Interpret/Graphs
The learner will be able to create and interpret graphs that illustrate the relationship between two variables in common situations.
Strand Scope Source
Variable Master MA: Curriculum Framework, 2000, Grade 6, 6.P.6
  
Order of Operations: Apply/Expressions
The learner will be able to apply the order of operations in expressions involving addition, subtraction, multiplication, and division with grouping symbols.
Strand Scope Source
Order of Operations Master MA: Curriculum Framework, 2000, Grade 6, 6.N.11
  
Linear Equations: Solve/Physical Models
The learner will be able to apply physical models to obtain solutions to linear equations.
Strand Scope Source
Linear Equations Master MA: Curriculum Framework, 2000, Grade 6, 6.P.5
  
Linear Equations: Solve/Tables
The learner will be able to apply tables to obtain solutions to linear equations.
Strand Scope Source
Linear Equations Master MA: Curriculum Framework, 2000, Grade 6, 6.P.5
  
Linear Equations: Solve/Graphs
The learner will be able to apply graphs to obtain solutions to linear equations.
Strand Scope Source
Linear Equations Master MA: Curriculum Framework, 2000, Grade 6, 6.P.5
  
Linear Equations: Solve/Paper-Pencil
The learner will be able to apply paper and pencil methods to obtain solutions to linear equations.
Strand Scope Source
Linear Equations Master MA: Curriculum Framework, 2000, Grade 6, 6.P.5
  
Exponents: Understand/Positive
The learner will be able to illustrate an understanding of positive integer exponents with base 10.
Strand Scope Source
Exponents Master MA: Curriculum Framework, 2000, Grade 6, 6.N.1
  
Exponents: Comprehension
The learner will be able to illustrate a comprehension of positive integer exponents.
Strand Scope Source
Exponents Master MA: Curriculum Framework, 2000, Grade 6, 6.N.1
  
Inverse Operations: Add/Subtract
The learner will be able to develop an understanding of the inverse relationship that exists between addition and subtraction.
Strand Scope Source
Inverse Operations Master MA: Curriculum Framework, 2000, Grade 6, 6.N.12
  
Inverse Operations: Apply/Add/Subtract
The learner will be able to apply the inverse relationship between addition and subtraction to simplify computation and obtain problem solutions.
Strand Scope Source
Inverse Operations Master MA: Curriculum Framework, 2000, Grade 6, 6.N.12
  
Equality: Apply/Properties/Solve
The learner will be able to obtain problem solutions by applying the properties of equality.
Strand Scope Source
Equations Master MA: Curriculum Framework, 2000, Grade 6, 6.P.3
  
Computation: Estimate/Results
The learner will be able to estimate the results of calculations with whole numbers, and with positive fractions, mixed numbers, decimals, and percents.
Strand Scope Source
Computation Master MA: Curriculum Framework, 2000, Grade 6, 6.N.16
  
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Data Interpretation

Circle Graphs: Interpret
The learner will be able to interpret data shown in a circle graph.
Strand Scope Source
Circle Graphs Master MA: Curriculum Framework, 2000, Grade 6, 6.D.2
  
Line Graphs: Create
The learner will be able to create suitable line plots.
Strand Scope Source
Line Graphs Master MA: Curriculum Framework, 2000, Grade 6, 6.D.2
  
Graphs: Construct/Circle Graphs
The learner will be able to construct circle graphs to illustrate data.
Strand Scope Source
Circle Graphs Master MA: Curriculum Framework, 2000, Grade 6, 6.D.2
  
Graphs: Interpret/Line Plots
The learner will be able to interpret information which is presented in a line plot.
Strand Scope Source
Analyzing/Evaluating Graphical Forms Master MA: Curriculum Framework, 2000, Grade 6, 6.D.2
  
Stem-and-Leaf Plots: Interpret
The learner will be able to interpret data shown in a stem-and-leaf graph.
Strand Scope Source
Stem-and-Leaf/Box-and-Whisker Plots Master MA: Curriculum Framework, 2000, Grade 6, 6.D.2
  
Stem-and-Leaf Plots: Create
The learner will be able to create stem-and-leaf plots.
Strand Scope Source
Stem-and-Leaf/Box-and-Whisker Plots Master MA: Curriculum Framework, 2000, Grade 6, 6.D.2
  
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Addition/Subtraction Decimals
The learner will be able to add and subtract decimal amounts.
Strand Scope Source
Add/Subtract Decimals Master MA: Curriculum Framework, 2000, Grade 6, 6.N.13
  
Multiply: Decimals
The learner will be able to multiply decimals.
Strand Scope Source
Multiply Decimals Master MA: Curriculum Framework, 2000, Grade 6, 6.N.13
  
Divide Decimals: By 2-Digit Numbers
The learner will be able to divide decimals by two-digit numbers.
Strand Scope Source
Divide Decimals Master MA: Curriculum Framework, 2000, Grade 6, 6.N.13
  
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Fraction Parts: Comprehend/Whole
The learner will be able to develop a comprehension of fractions as parts of unit wholes.
Strand Scope Source
Fraction Parts Master MA: Curriculum Framework, 2000, Grade 6, 6.N.4
  
Fraction Parts: Comprehend/Collection
The learner will be able to develop a comprehension of fractions as parts of a collection.
Strand Scope Source
Fraction Parts Master MA: Curriculum Framework, 2000, Grade 6, 6.N.4
  
Fraction Parts: Comprehend/Whole Number
The learner will be able to develop a comprehension of fractions as a ratio of whole numbers.
Strand Scope Source
Fraction Parts Master MA: Curriculum Framework, 2000, Grade 6, 6.N.4
  
Fractions: Lowest Terms
The learner will be able to reduce a given fraction to its lowest terms.
Strand Scope Source
Fractions Master MA: Curriculum Framework, 2000, Grade 6, 6.N.14
  
Fractions: Apply/Arithmetic Operations
The learner will be able to apply the four arithmetic operations on positive fractions and mixed numbers.
Strand Scope Source
Fractions Master MA: Curriculum Framework, 2000, Grade 6, 6.N.14
  
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Circles: Describe/Relationships
The learner will be able to describe the relationships between the radius, diameter, circumference, and area of a circle and apply these ideas to obtain problem solutions.
Strand Scope Source
Circles Master MA: Curriculum Framework, 2000, Grade 6, 6.M.5
  
Congruence: Determine
The learner will be able to determine if two geometric shapes are congruent by measuring sides, measuring a combination of sides and angles, applying transformations or a series of transformations.
Strand Scope Source
Congruence Master MA: Curriculum Framework, 2000, Grade 6, 6.G.8
  
Shapes: Circle
The learner will be able to identify a circle.
Strand Scope Source
Two-Dimensional Shapes Master MA: Curriculum Framework, 2000, Grade 6, 6.M.5
  
Shapes: Triangle
The learner will be able to identify a triangle.
Strand Scope Source
Two-Dimensional Shapes Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Shapes: Quadrilateral
The learner will be able to identify quadrilateral shapes.
Strand Scope Source
Quadrilaterals Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Angles: Identify
The learner will be able to recognize angles.
Strand Scope Source
Angles Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Angles: Describe
The learner will be able to give descriptions of angles.
Strand Scope Source
Angles Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Angles: Measuring
The learner will be able to measure angles.
Strand Scope Source
Angles Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Angles: Classify
The learner will be able to classify angles according to angle measure.
Strand Scope Source
Angles Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Angles: Construct
The learner will be able to construct angles.
Strand Scope Source
Angles Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Triangles: Describe
The learner will be able to describe triangles.
Strand Scope Source
Triangles Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Triangles: Classify
The learner will be able to classify triangles.
Strand Scope Source
Triangles Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Triangles: Measure
The learner will be able to measure triangles.
Strand Scope Source
Triangles Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Triangles: Construct
The learner will be able to construct triangles.
Strand Scope Source
Triangles Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Circles: Measure
The learner will be able to measure circles.
Strand Scope Source
Circles Master MA: Curriculum Framework, 2000, Grade 6, 6.M.5
  
Circles: Describe
The learner will be able to describe circles.
Strand Scope Source
Circles Master MA: Curriculum Framework, 2000, Grade 6, 6.M.5
  
Transformations: Explain/2-D
The learner will be able to explain transformations of two-dimensional figures.
Strand Scope Source
Transformations Master MA: Curriculum Framework, 2000, Grade 6, 6.G.6
  
Transformation: 2-D
The learner will be able to perform transformations on two-dimensional figures.
Strand Scope Source
Transformations Master MA: Curriculum Framework, 2000, Grade 6, 6.G.6
  
Transformations: Predict/2-D
The learner will be able to predict transformations of two-dimensional figures.
Strand Scope Source
Transformations Master MA: Curriculum Framework, 2000, Grade 6, 6.G.6
  
Point/Line/Plane: Identify/Relationship
The learner will be able to recognize relationships between and among points, lines, and planes.
Strand Scope Source
Planes/Points/Lines Master MA: Curriculum Framework, 2000, Grade 6, 6.G.3
  
Symmetry: Recognize
The learner will be able to recognize symmetry.
Strand Scope Source
Symmetry Master MA: Curriculum Framework, 2000, Grade 6, 6.G.7
  
Symmetries: Line/Rotational
The learner will be able to recognize line and/or rotational symmetry.
Strand Scope Source
Symmetry Master MA: Curriculum Framework, 2000, Grade 6, 6.G.7
  
Quadrilaterals: Describe
The learner will be able to describe quadrilaterals.
Strand Scope Source
Quadrilaterals Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Quadrilaterals: Classify
The learner will be able to make classifications of quadrilaterals.
Strand Scope Source
Quadrilaterals Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Quadrilaterals: Measure
The learner will be able to measure quadrilaterals.
Strand Scope Source
Quadrilaterals Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Quadrilaterals: Construct
The learner will be able to construct quadrilaterals.
Strand Scope Source
Quadrilaterals Master MA: Curriculum Framework, 2000, Grade 6, 6.M.2
  
Polygons: Recognize/Properties
The learner will be able to recognize polygons based on their properties, including types of interior angles, perpendicular or parallel sides, and congruence of sides.
Strand Scope Source
Polygons Master MA: Curriculum Framework, 2000, Grade 6, 6.G.1
  
Polygons: Determine/Angle Sum
The learner will be able to determine the angle sum in simple polygons (up to eight sides) with and without measuring the angles.
Strand Scope Source
Polygons Master MA: Curriculum Framework, 2000, Grade 6, 6.M.7
  
Three-Dimensional Solids: Recognize
The learner will be able to recognize solids based on their properties.
Strand Scope Source
Three-Dimensional Solids Master MA: Curriculum Framework, 2000, Grade 6, 6.G.2
  
Solids: Representation/Two-Dimension
The learner will be able to match various two-dimensional illustrations of three-dimensional objects.
Strand Scope Source
Three-Dimensional Solids Master MA: Curriculum Framework, 2000, Grade 6, 6.G.9
  
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Add Integers
The learner will be able to add integers.
Strand Scope Source
Add Integers Master MA: Curriculum Framework, 2000, Grade 6, 6.N.15
  
Subtract Integers: Except Negative
The learner will be able to subtract integers, except for subtracting negative integers.
Strand Scope Source
Subtract Integers Master MA: Curriculum Framework, 2000, Grade 6, 6.N.15
  
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Mathematics Processes

Relationships: Illustrate
The learner will be able to illustrate real world scenarios or mathematical relationships through the use physical models, tables, graphs, and rules in words and with symbols.
Strand Scope Source
Relationships Master MA: Curriculum Framework, 2000, Grade 6, 6.P.4
  
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Units: Problem Solve
The learner will be able to obtain solutions to problems involving units of measure.
Strand Scope Source
Units Master MA: Curriculum Framework, 2000, Grade 6, 6.M.3
  
Perimeter: Apply/Concepts/Solve Problems
The learner will be able to apply perimeter concepts to obtain problem solutions.
Strand Scope Source
Perimeter Master MA: Curriculum Framework, 2000, Grade 6, 6.M.1
  
Area of a Parallelogram
The learner will be able to calculate the area of a parallelogram.
Strand Scope Source
Area Master MA: Curriculum Framework, 2000, Grade 6, 6.M.4
  
Area: Different Shape/Same Area
The learner will be able to recognize that figures with the same number of sides, but different shape may possess the same area.
Strand Scope Source
Area Master MA: Curriculum Framework, 2000, Grade 6, 6.M.4
  
Area: Apply/Concepts/Solve Problems
The learner will be able to apply area concepts to obtain problem solutions.
Strand Scope Source
Area Master MA: Curriculum Framework, 2000, Grade 6, 6.M.1
  
Area: Create/Methods/Complex Figures
The learner will be able to create methods to determine the areas of more complex figures.
Strand Scope Source
Area Master MA: Curriculum Framework, 2000, Grade 6, 6.M.4
  
Area/Volume: Prisms
The learner will be able to determine the surface area and volume of rectangular prisms.
Strand Scope Source
Perimeter/Area/Volume Master MA: Curriculum Framework, 2000, Grade 6, 6.M.6
  
Area of a Triangle: Determine
The learner will be able to find the area of a triangle.
Strand Scope Source
Area of a Triangle Master MA: Curriculum Framework, 2000, Grade 6, 6.M.4
  
Formulas: Apply/Appropriate
The learner will be able to apply formulas where appropriate.
Strand Scope Source
Formulas Master MA: Curriculum Framework, 2000, Grade 6, 6.M.1
  
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Place Value: Understand/Thousandths
The learner will be able to understand place value through the thousandths.
Strand Scope Source
Place Value Master MA: Curriculum Framework, 2000, Grade 6, 6.N.2
  
Equivalent Forms: Recognize/Common
The learner will be able to recognize common equivalent fractions, mixed numbers, decimals, and percents.
Strand Scope Source
Equivalent Forms Master MA: Curriculum Framework, 2000, Grade 6, 6.N.5
  
Equivalent Forms: Find/Common
The learner will be able to find common equivalent fractions, mixed numbers, decimals, and percents.
Strand Scope Source
Equivalent Forms Master MA: Curriculum Framework, 2000, Grade 6, 6.N.5
  
Proportions: Solve Problems/Relationship
The learner will be able to obtain solutions to problems that involve proportional relationships.
Strand Scope Source
Ratio/Proportion Master MA: Curriculum Framework, 2000, Grade 6, 6.M.3
  
Primes/Composites: Application
The learner will be able to apply primes and composites in problem solving situations.
Strand Scope Source
Prime/Composite Numbers Master MA: Curriculum Framework, 2000, Grade 6, 6.N.8
  
Multiples: LCM
The learner will be able to determine the least common multiple within the context of solving problems.
Strand Scope Source
Multiples Master MA: Curriculum Framework, 2000, Grade 6, 6.N.8
  
Factors: GCF
The learner will be able to determine the greatest common factor within the context of solving problems.
Strand Scope Source
Factors Master MA: Curriculum Framework, 2000, Grade 6, 6.N.8
  
Factorization: Prime
The learner will be able to use prime factorization to solve problems.
Strand Scope Source
Factors Master MA: Curriculum Framework, 2000, Grade 6, 6.N.8
  
Divisibility: Apply/Rules/Problem Solve
The learner will be able to apply the divisibility rules for 2, 3, 4, 5, 6, 9, and 10 to obtain problem solutions.
Strand Scope Source
Divisibility Master MA: Curriculum Framework, 2000, Grade 6, 6.N.8
  
Number Theory: Problem Solving
The learner will be able to use number theory concepts to solve problems.
Strand Scope Source
Number Theory Master MA: Curriculum Framework, 2000, Grade 6, 6.N.8
  
Place Value: Understand/Billions
The learner will be able to understand place value through the billions.
Strand Scope Source
Place Value Reinforce MA: Curriculum Framework, 2000, Grade 6, 6.N.2
  
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Number Lines: Locate/Position
The learner will be able to use a number line to locate and position integers, fractions, mixed numbers, and decimals (negative and positive).
Strand Scope Source
Number Lines Master MA: Curriculum Framework, 2000, Grade 6, 6.N.6
  
Compare/Order
The learner will be able to compare and order integers, positive fractions, mixed numbers, decimals, and percents.
Strand Scope Source
Comparing/Ordering Master MA: Curriculum Framework, 2000, Grade 6, 6.N.7
  
Patterns: Determine/Analyze/Rules
The learner will be able to determine and analyze the rules that extend symbolic, arithmetic, and geometric patterns and progressions.
Strand Scope Source
Patterns: Determining Rules Master MA: Curriculum Framework, 2000, Grade 6, 6.P.1
  
Estimation: Explain/Reasonableness
The learner will be able to explain the reasonableness of approximations.
Strand Scope Source
Estimation Master MA: Curriculum Framework, 2000, Grade 6, 6.N.16
  
Number Lines: Fractions/Location
The learner will be able to understand fractions as locations on the number line.
Strand Scope Source
Number Lines Master MA: Curriculum Framework, 2000, Grade 6, 6.N.4
  
Number Lines: Model/Addition/Subtraction
The learner will be able to apply the number line to model the addition and subtraction of integers (not including the subtraction of negative integers).
Strand Scope Source
Number Lines Master MA: Curriculum Framework, 2000, Grade 6, 6.N.10
  
Compare: Represent/Large/Small/Numbers
The learner will be able to illustrate and compare very large (billions) and very small (thousandths) positive numbers in a variety of forms.
Strand Scope Source
Comparison Master MA: Curriculum Framework, 2000, Grade 6, 6.N.3
  
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Probability/Statistics

Mean/Median/Mode/Range: Apply
The learner will be able to apply the concepts of mean, median, mode, range, maximum, and minimum to explain and compare sets of data.
Strand Scope Source
Average/Median/Mode/Range Master MA: Curriculum Framework, 2000, Grade 6, 6.D.1
  
Probability: Apply/Ratios/Likelihood
The learner will be able to apply suitable ratios between zero and one to represent the probability of an outcome and relate the probability with the likelihood of events.
Strand Scope Source
Probability Master MA: Curriculum Framework, 2000, Grade 6, 6.D.4
  
Counting Methods: Tree Diagrams/Others
The learner will be able to represent possible outcomes or actual outcomes of an event through the use of tree diagrams and other models.
Strand Scope Source
Counting Methods Master MA: Curriculum Framework, 2000, Grade 6, 6.D.3
  
Outcomes: Examine
The learner will be able to examine outcomes.
Strand Scope Source
Outcomes Master MA: Curriculum Framework, 2000, Grade 6, 6.D.3
  
Experiments: Conduct/Predictions
The learner will be able to carry out an experiment to test predictions.
Strand Scope Source
Experiments Master MA: Curriculum Framework, 2000, Grade 6, 6.D.4
  
Experiments: Elementary/Predict
The learner will be able to formulate predictions about the probability of outcomes for elementary experiments.
Strand Scope Source
Experiments Master MA: Curriculum Framework, 2000, Grade 6, 6.D.4
  
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Real Numbers and the Coordinate Plane

Coordinate Plane: Recognize/Points
The learner will be able to recognize coordinates of points on all four quadrants of the Cartesian coordinate plane.
Strand Scope Source
Coordinate Geometry Master MA: Curriculum Framework, 2000, Grade 6, 6.G.4
  
Coordinate Plane: Plot/Points
The learner will be able to plot points on all four quadrants of the Cartesian coordinate plane.
Strand Scope Source
Coordinate Geometry Master MA: Curriculum Framework, 2000, Grade 6, 6.G.4
  
Distance: Number Line
The learner will be able to determine the distance between two points on a number line.
Strand Scope Source
Distance Formula Master MA: Curriculum Framework, 2000, Grade 6, 6.G.5
  
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Addition
The learner will be able to perform addition on whole numbers.
Strand Scope Source
Add Whole Numbers Master MA: Curriculum Framework, 2000, Grade 6, 6.N.13
  
Subtraction
The learner will be able to perform subtraction on whole numbers.
Strand Scope Source
Subtract Whole Numbers Master MA: Curriculum Framework, 2000, Grade 6, 6.N.13
  
Multiplication: Whole Numbers
The learner will be able to perform multiplication on whole numbers.
Strand Scope Source
Multiply Whole Numbers Master MA: Curriculum Framework, 2000, Grade 6, 6.N.13
  
Divide by 2 Digits
The learner will be able to divide whole numbers by two-digit divisors.
Strand Scope Source
Divide Whole Numbers Master MA: Curriculum Framework, 2000, Grade 6, 6.N.13
  
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