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Mathematics
· Grade 5

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Mission Statement
Superintendent Letter
Introduction
Ordering Info


© 2004 by St, Anastasia School and EdVISION Corporation.
All Rights Reserved.

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Curriculum Designer by
EdVISION Corporation

St, Anastasia School
GRADE 5
Mathematics - Grade 5

Algebraic Concepts

Properties: Recognize/Compute
The learner will be able to recognize the commutative, associative, and distributive properties and apply them to compute with whole numbers.
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Operations: Concepts
The learner will be able to display, illustrate, and/or relate to others, a comprehension of operation concepts.
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Operations: Operation Sense
The learner will be able to develop an understanding of operations and their effects.
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Rate: Recognize/Explain Change
The learner will be able to recognize and explain scenarios with constant or varying rates of change and make comparisons of them.
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Variable: Illustrate/Letter/Symbol
The learner will be able to illustrate the concept of a variable as an unknown quantity using a letter or a symbol.
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Computation: Choose/Strategies
The learner will be able to choose suitable strategies and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil based upon the context and nature of the computation and apply the chosen strategy or tool.
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Computation: Create/Apply
The learner will be able to create and apply methods to estimate the results of whole number computations and to judge the reasonableness of results.
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Computation: Proficiency
The learner will be able to exhibit proficiency when performing computational procedures.
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Missing Factor
The learner will be able to solve a multiplication problem to find a missing factor.
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Formulate Problems
The learner will be able to formulate various types of problems.
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Inequalities: Concept
The learner will be able to understand the concepts of inequalities.
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Operations: Comprehend/Properties
The learner will be able to comprehend the properties of operations.
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Operations: Properties/Relationships
The learner will be able to display comprehension of the properties and/or relationships of operations.
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Operations: Relationships
The learner will be able to comprehend the relationships among operations.
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Operations: Apply/Properties
The learner will be able to apply the properties of operations.
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Operations: Problem Solving
The learner will be able to use the procedures of operations to obtain problem solutions.
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Operations: Identify/Problem Solve
The learner will be able to obtain solutions to problems by identifying the relationships between operations.
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Operations: Apply/Problem Solve
The learner will be able to obtain solutions to problems by applying the relationships between operations.
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Algebraic Concepts: Representations
The learner will be able to identify algebraic illustrations of problem scenarios.
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Algebraic Concepts: Procedures
The learner will be able to understand algebraic procedures.
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Algebraic Concepts: Problem Solving
The learner will be able to use algebraic methods to solve mathematical problems.
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Variable
The learner will be able to understand the basic concept of a variable as representing an unknown quantity.
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Variables: Explore/Change
The learner will be able to explore how a change in one variable relates to a change in another variable.
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Computation: Real World Problems
The learner will be able to obtain solutions to real world problems that involve computations.
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Computation: Fluency
The learner will be able to compute fluently.
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Problem Solving: Algebraic Properties
The learner will be able to solve problems by applying algebraic properties.
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Data Interpretation

Pictographs: Identify/Compare
The learner will be able to identify, compare, and add or subtract amounts read from pictographs.
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Graphing: Construct/Finish/Data Display
The learner will be able to construct and/or finish a data display.
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Bar Graphs: Interpret/Find Patterns
The learner will be able to make interpretations of bar graphs (horizontal/vertical formats) to find patterns in data.
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Line Graphs: Read
The learner will be able to read a line graph.
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Tables: Analyze
The learner will be able to analyze information presented in tables.
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Evaluate Graphical Forms: Choose/Display
The learner will be able to choose the most suitable form and/or method of data display.
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Addition Story Problems
The learner will be able to analyze and solve decimal story problems which depict real-world scenarios by determining that addition is required, by regrouping numbers, and by adding decimals up to the hundredths position.
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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).
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Decimals: Represent
The learner will be able to represent decimals.
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Compare Decimals: Up to 0.01
The learner will be able to compare decimal numbers up to the hundredths position using the order symbols (<, >, =).
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Add Fractions: Solve/Story Problems
The learner will be able to add two fractions, either mixed fractions or with different denominators, in the context of a story problem.
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Fraction Parts: Understand/Part/Whole
The learner will be able to develop an understanding that a whole object can be divided up into parts.
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Fraction Parts: Comprehend/Whole
The learner will be able to develop a comprehension of fractions as parts of unit wholes.
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Fraction Parts: Comprehend/Collection
The learner will be able to develop a comprehension of fractions as parts of a collection.
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Fractions: Comprehend/Number Lines
The learner will be able to develop a comprehension of fractions as locations on number lines.
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Fractions: Division/Whole Numbers
The learner will be able to develop a comprehension of fractions as divisions of whole numbers.
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Problem Solving: Functions/Patterns
The learner will be able to apply functions and/or patterns in the representation and/or solving of problems.
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Relations: Comprehend
The learner will be able to comprehend relations.
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Functions: Understand
The learner will be able to understand functions.
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Functional Relationships: Comprehend
The learner will be able to display comprehension of functional relationships.
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Figures: Recognize/Build
The learner will be able to recognize and make a two-dimensional representation of a three-dimensional object.
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Figures: Recognize/Build
The learner will be able to recognize and make a three-dimensional object from two-dimensional representations of that object.
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Inductive/Deductive
The learner will be able to identify and use the techniques of inductive and deductive reasoning in problem solving situations.
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Symmetry: Recognize/Explain
The learner will be able to recognize and explain line and rotational symmetry in two- and three-dimensional figures and designs.
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Spatial Thinking: Visualization
The learner will be able to visualize and describe the outcome of folding geometric figures a variety of ways.
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Spatial Thinking: Apply Concepts
The learner will be able to use suitable concepts and procedures of spatial reasoning/understanding.
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Spatial Relationships: Location
The learner will be able to specify locations and explain spatial relationships by applying coordinate geometry and various other representational systems.
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Spatial Relationships: Comprehend
The learner will be able to display comprehension of spatial relationships and geometry through the visualization and recognition of various objects (2D and 3D), by sorting different shapes, identifying symmetry, applying transformations and formulas, and through the evaluation of the characteristics of various figures.
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Exploring Spatial Concepts
The learner will be able to apply manipulatives in the investigation of spatial relationships and/or patterns, and to illustrate geometric problems.
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Geometric Relationships: Identify
The learner will be able to identify geometric concepts and relationships and use them in other disciplines and in problems in the classroom or in real life.
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Characteristics: Study/3-D
The learner will be able to study the characteristics of three-dimensional solids.
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Characteristics: Study/2-D
The learner will be able to study the characteristics of two-dimensional shapes.
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Characteristics: Compare/2D/3D
The learner will be able to compare characteristics of two- and three-dimensional figures.
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Figures: Draw/Objects
The learner will be able to draw geometric objects.
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Figures: Build
The learner will be able to build geometric objects.
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Figures: Describe/Characteristics 2-D
The learner will be able to develop the terminology to describe the characteristics of two-dimensional shapes.
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Figures: Describe/Characteristics 3-D
The learner will be able to develop the terminology to describe the characteristics of three-dimensional solids.
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Vocabulary: Compose/Definitions
The learner will be able to compose definitions for classes of geometric figures.
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Solids: Recognize/Attributes
The learner will be able to recognize the attributes of three-dimensional solids.
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Solids: Classify by Properties
The learner will be able to classify three-dimensional figures using their properties.
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Solids: Study/Characteristics
The learner will be able to study the characteristics of three-dimensional solids.
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Solids: Study/Properties
The learner will be able to study the properties of three-dimensional solids.
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Shapes: Attributes
The learner will be able to identify attributes of two-dimensional shapes.
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Shapes: Classify
The learner will be able to classify 2 dimensional geometric shapes by their similarities and differences.
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Shapes: Classify by Properties
The learner will be able to classify two-dimensional shapes by their properties.
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Shapes: Study/Characteristics
The learner will be able to study the characteristics of two-dimensional shapes.
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Shapes: Study/Properties
The learner will be able to study the properties of two-dimensional shapes.
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Figures: Join/Separate
The learner will be able to investigate breaking up and putting together various shapes to make new shapes and/or tessellations.
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Congruency/Symmetry: Exploring
The learner will be able to explore concepts of symmetry and congruency.
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Congruence/Similarity: Classification
The learner will be able to classify figures by congruence and/or similarity.
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Transformation: Explain
The learner will be able to explain the motion or series of motions that are necessary to match two congruent shapes.
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Transformations: Explain/2-D
The learner will be able to explain the effects of slides, flips, and turns of two-dimensional figures.
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Transformations: Predict/2-D
The learner will be able to predict the effects of slides, flips, and turns of two-dimensional figures.
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Transformations: Apply
The learner will be able to apply transformations to study mathematical situations.
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Reasoning: Spatial
The learner will be able to use spatial reasoning to solve problems.
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Reasoning: Proportional
The learner will be able to use proportional reasoning skills.
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Reasoning: Spatial
The learner will be able to use spatial reasoning skills.
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Inductive/Deductive: Apply
The learner will be able to apply inductive and deductive reasoning to solve problems.
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Proofs: Choose
The learner will be able to choose from many different methods of proofs.
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Proofs: Apply
The learner will be able to apply many different methods of proofs.
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Symmetry: Apply
The learner will be able to apply symmetry to study mathematical scenarios.
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Positions: Location/Movement
The learner will be able to use everyday language to explain location and movement.
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Positions: Location/Movement
The learner will be able to use geometric vocabulary to explain location and movement.
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Problem Solving: Geometric Models
The learner will be able to obtain solutions to problem situations with geometric models.
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Spatial Thinking: Problem Solving
The learner will be able to obtain solutions to problems using spatial visualization.
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Combine/Subdivide/Transform: Explain
The learner will be able to explain the effects of subdividing, combining, and transforming shapes.
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Combine/Subdivide/Change: Study
The learner will be able to study the effects of combining, subdividing, and changing basic shapes.
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Combine/Subdivide/Transform: Reason
The learner will be able to reason about the effects of subdividing, combining, and transforming shapes.
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Geometric Models: Problem Solve
The learner will be able to obtain solutions to problems in other areas of mathematics by applying geometric models.
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Geometric Relationships: Create/Argument
The learner will be able to create mathematical arguments about geometric relationships.
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Integers: Investigate/Negative Numbers
The learner will be able to investigate negative numbers by extending the number line and through common applications.
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Mathematics Processes

Math Concepts: Study/Evaluate
The learner will be able to study and evaluate the mathematical thought processes and strategies of others.
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Mathematical Concepts: Express
The learner will be able to express mathematical thought processes in an understandable and precise way to peers, teachers, and others.
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Math Concepts: Organize/Thought
The learner will be able to integrate their mathematical thought processes through communication.
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Mathematical Concepts: Comprehend
The learner will be able to comprehend how mathematical concepts interconnect and build on one another to create a coherent whole.
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Reasoning: Identify/Proof
The learner will be able to identify reasoning and proof as fundamental aspects of mathematics.
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Math as Reasoning: Create/Evaluate
The learner will be able to create and evaluate mathematical arguments and proofs.
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Mathematics Communication
The learner will be able to connect common vocabulary to mathematical terminology, and/or connect models, diagrams, and pictures to mathematical ideas.
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Learning: Create/Knowledge
The learner will be able to create new mathematical knowledge through the problem solving process.
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Models: Apply/Illustrate/Interpret
The learner will be able to apply representations to illustrate and interpret physical, social and mathematical scenarios.
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Modeling: Math Situations
The learner will be able to make models of problem scenarios, and make descriptions and evaluations of mathematical concepts and situations either in a graphic or written form.
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Modeling: Make
The learner will be able to make mathematical representations for organizing, recording, and explaining mathematical concepts.
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Modeling: Apply/Variety
The learner will be able to apply a variety of mathematical representations for organizing, recording, and explaining mathematical concepts.
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Modeling: Math Situations
The learner will be able to display and/or model mathematical situations or scenarios.
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Conjecture: Formulate/Test
The learner will be able to formulate and test conjectures regarding geometric properties and relationships and create logical arguments to justify conclusions.
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Mathematical Concepts: Identify
The learner will be able to identify mathematics in contexts outside of mathematics.
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Math Concepts: Organize/Thought
The learner will be able to organize their mathematical thought processes through communication.
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Mathematical Concepts: Use
The learner will be able to use mathematics in contexts outside of mathematics.
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Relationships: State/Equations
The learner will be able to state mathematical relationships by applying equations.
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Reasoning: Choose/Strategies
The learner will be able to choose various types of reasoning strategies.
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Reasoning: Use/Strategies
The learner will be able to use many different reasoning strategies.
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Communicate: State/Ideas/Mathematical
The learner will be able to state mathematical ideas clearly using mathematical language.
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Communication: Explain Reasoning
The learner will be able to explain their thought process.
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Mathematical Connections: Identify
The learner will be able to identify connections among mathematical concepts.
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