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EAST LONGMEADOW PUBLIC SCHOOLS Mathematics The Massachusetts Mathematics Curriculum Framework envisions all students in the Commonwealth achieving mathematical competence through a strong mathematics program that emphasizes problem solving, communicating, reasoning and proof, making connections, and using representations. Acquiring such competence depends in large part on a clear, comprehensive, coherent, and developmentally appropriate set of standards to guide curriculum expectations. Kindergarten The Massachusetts Mathematics Curriculum Framework provides learning standards for students to master by the end of kindergarten. |
| 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. |
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Fraction Parts: Understand/Whole
The learner will be able to demonstrate an understanding for the concept of whole.
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Fraction Parts: Understand/Half
The learner will be able to demonstrate an understanding for the concept of half.
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| 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. |
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Positions: Recognize/Explain/Compare
The learner will be able to recognize the positions of items in space, and explain and compare their relative positions using suitable vocabulary.
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Figures: Attributes/Classify/Sort
The learner will be able to recognize the attributes of geometric shapes as a basis for sorting and classifying.
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Figures: Classify/Properties
The learner will be able to classify objects by color, shape, size, quantity, and other properties.
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Figures: Sort/Properties
The learner will be able to sort objects by color, shape, size, quantity, and other properties.
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Solids: Label
The learner will be able to name three-dimensional solids.
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Three-Dimensional Solids: Compare
The learner will be able to make comparisons of solids.
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Two-Dimensional Shapes: Basic/Name
The learner will be able to name basic two-dimensional shapes.
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Two-Dimensional Shapes: Basic/Explain
The learner will be able to explain basic two-dimensional shapes.
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Shapes: Explain/Characteristics
The learner will be able to explain the characteristics of two-dimensional shapes.
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Two-Dimensional Shapes: Basic/Draw
The learner will be able to draw basic two-dimensional shapes.
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Two-Dimensional Shapes: Basic/Sort
The learner will be able to sort basic two-dimensional shapes.
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| 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. |
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Measurement Concepts: Comparison
The learner will be able to apply suitable language to compare the attributes of length, volume/capacity, weight, area, and time.
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Units: Length/Nonstandard
The learner will be able to use nonstandard units to measure length.
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Units: Weight/Nonstandard
The learner will be able to use nonstandard units to measure weight.
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Length: Identify/Characteristics
The learner will be able to identify the characteristics of length.
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Time: Identify/Characteristics
The learner will be able to identify the characteristics of time.
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Money: Recognize/Name/U.S. Coins
The learner will be able to recognize U.S. coins by their names.
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| Numeration |
| The Numeration Unit focuses on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships. |
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Estimation: Objects/Group/Verify
The learner will be able to estimate the number of objects in a group.
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Patterns: Recognize/Explain/Extend
The learner will be able to recognize, explain, extend, reproduce, and create color, rhythmic, shape, number, and letter patterns possessing simple characteristics.
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Counting: By Ones/At Least 30
The learner will be able to count to at least 30 by ones.
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Ordinality: First - Fifth
The learner will be able to apply ordinal numbers from first through fifth to indicate positions.
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Skip Counting: Fives/Tens/At Least 50
The learner will be able to skip count up to 100 by fives and tens.
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| Probability/Statistics |
| The Probability/Statistics Unit focuses on data analysis and probability concepts. This unit includes collecting, analyzing, and making sense of real-world data (including overlapping data, inconclusive data, etc.). |
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Data: Gather/Sort/Organize/Conclusions
The learner will be able to gather, sort, organize, and form conclusions about data applying physical objects, pictures, numbers, and graphs.
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| Real Numbers and the Coordinate Plane |
| The Real Numbers and the Coordinate Plane Unit includes graphing equations, and making connections between algebraic concepts and their geometric correspondences. |
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Sets: Compare/At Least 10
The learner will be able to make comparisons of sets containing up to at least 10 elements using suitable terminology.
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| Whole Numbers |
| The Whole Numbers Unit includes performing operations with whole numbers, using manipulatives to demonstrate whole number concepts, and solving problems with whole numbers in real-world contexts. |
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Add/Subtract: Model/Solve
The learner will be able to apply physical items and pictures to model and obtain solutions to associated addition and subtraction problems up to 10.
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Order Numbers
The learner will be able to order numbers.
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Number Sense: Match/Quantities
The learner will be able to match quantities up to at least ten with their corresponding numbers and words.
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