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St, Anastasia School |
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GRADE 5 |
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Mathematics - Grade 5 |
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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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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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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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