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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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Mathematical Connections: Apply
The learner will be able to
apply connections among mathematical concepts.
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Modeling: Problem Situations
The learner will be able to
model problem scenarios.
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Conjecture: Explore
The learner will be able to
explore mathematical conjectures.
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Conjecture: Formulate
The learner will be able to
formulate conjectures.
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Measurement Processes: Comprehend
The learner will be able to
comprehend the measurable characteristics of objects and the units, systems, and processes of measurement.
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Units: Understand/Choose
The learner will be able to
understand characteristics of length, area, weight, volume, and size of angles and choose the suitable unit for measuring each characteristic.
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Units: Choose/Use/Tools
The learner will be able to
choose and use suitable standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles.
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Measurement: Investigate/Manipulatives
The learner will be able to
apply manipulatives to investigate shapes, area, and/or perimeter, and display and illustrate measurement problems.
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Accuracy: Appropriate Instrument/Unit
The learner will be able to
choose the appropriate tools and units of measurement necessary to find accurate measurements given a specific situation.
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Formulas: Create/Understand/Apply
The learner will be able to
create, understand, and apply formulas to determine the area of rectangles and related triangles and parallelograms.
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Measurement Concepts: Understanding
The learner will be able to
apply the ideas of perimeter, area, volume, capacity, weight, and/or mass in displaying a comprehension of measurement systems, units, and/or instruments.
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Measurement Concepts: Understanding
The learner will be able to
display comprehension of measurement systems, units, and/or instruments, through the descriptions, computations, or estimations of size, place, and or time.
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Measurement Processes: Describe
The learner will be able to
make descriptions of measurement processes.
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Measurement Processes: Use
The learner will be able to
use various methods to determine measurements.
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Measurement Processes: Compare
The learner will be able to
make comparisons of measurement methods.
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Units: Familiarity/Customary
The learner will be able to
gain familiarity with standard units of measure in the customary system.
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Units: Familiarity/Metric
The learner will be able to
gain familiarity with standard units of measure in the metric system.
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Units: Comprehend/Accuracy
The learner will be able to
comprehend how differences in units affect the accuracy of measurement.
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Units: Need/Standard
The learner will be able to
understand the necessity of standard units of measure.
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Problem Solving: Rates
The learner will be able to
solve story problems involving the rate (measure) of items.
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Problem Solving: Scale
The learner will be able to
solve problems involving scale.
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Problem Solving: Measurement
The learner will be able to
solve problems involving measurement concepts.
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Length: Ruler
The learner will be able to
accurately read the appropriate scale on a ruler.
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Time: Problem Solving
The learner will be able to
solve problems involving time.
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Money Problems: Separate/Result Unknown
The learner will be able to
identify the amount of money left after spending.
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Money Problems: Join/Change Unknown
The learner will be able to
identify the amount needed to make an amount equal to a given amount.
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Money: Purchasing Items
The learner will be able to
identify the number of items that could be purchased for a specific amount.
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Money: Add/Subtract Word Problems
The learner will be able to
determine that addition or subtraction is needed to solve word problems involving money (including converting cents to dollars).
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Money: Finding Change
The learner will be able to
identify the change from a purchase.
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Money: Multiplication Story Problem
The learner will be able to
use multiplication to solve a problem presented in a real world scenario using money notation.
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Temperature: Problem Solving
The learner will be able to
solve temperature problems.
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Perimeter: Application
The learner will be able to
solve real world application problems involving perimeter measurements.
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Perimeter: Approximate/Strategies
The learner will be able to
create strategies for approximating the perimeter of irregular shapes.
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Area: Appropriate Units
The learner will be able to
determine the appropriate units in which to measure an object's area in both the metric and standard systems.
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Area: Approximate/Methods
The learner will be able to
create strategies for approximating the area of irregular shapes.
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Surface Area: Create/Strategies
The learner will be able to
create strategies to find the surface areas of rectangular solids.
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Volume: Create/Strategies
The learner will be able to
create strategies to find the volumes of rectangular solids.
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Volume: Approximate/Methods
The learner will be able to
create strategies for approximating the volume of irregular shapes.
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Exploring: Two-Dimensional Shape
The learner will be able to
investigate the effects to the measurements of a two-dimensional figure when the figure is changed in some way.
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Mass: Problem Solving
The learner will be able to
solve real world problems involving mass.
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Scale Drawings: Understand
The learner will be able to
understand the concept of scale in relation to a ratio in regards to a scale drawing.
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Scale Maps: Interpret
The learner will be able to
interpret scale maps.
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Scale Models: 2- and 3-Dimensions
The learner will be able to
construct two- and three-dimensional scale models of common objects.
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Estimation: Choose/Benchmarks
The learner will be able to
choose benchmarks to approximate measurements.
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Measurement: Estimation
The learner will be able to
apply measurement approximations.
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Estimation: Apply/Benchmarks
The learner will be able to
apply benchmarks to approximate measurements.
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Accuracy: Comprehend/Approximate
The learner will be able to
comprehend that measurement is approximate.
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Formulas: Use/Determine Measures
The learner will be able to
use various formulas to determine measurements.
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Conversion: Within System
The learner will be able to
perform simple conversions of units within a measurement system.
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Tools: Use/Determine Measures
The learner will be able to
use various tools for determining measurements.
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Odd/Even
The learner will be able to
determine what a group of numbers has in common, which number from a group is odd or even, or if the solution to an equation is odd or even.
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Number Sense: Comprehension
The learner will be able to
display, illustrate, and/or relate to others a comprehension of number and/or number relationships.
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Equivalent Forms: Comprehend/Use
The learner will be able to
comprehend the use and representation of numbers in many different yet equivalent forms such as integers, fractions, decimals, percents, and exponential and scientific notation, in real world and mathematical contexts.
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Equivalent Forms: Fractions/Decimals
The learner will be able to
add and subtract common fractions and decimals by applying visual models, benchmarks, and equivalent forms.
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Equivalent Forms: Identify/Formulate
The learner will be able to
identify and formulate equivalent forms of common fractions, decimals, and percents.
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Divisibility/Multiples/Factors
The learner will be able to
determine divisibility, multiples, and common factors, including a least and greatest common factor.
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Number Theory: Application
The learner will be able to
show an ability to correctly use concepts and/or ideas related to number theory.
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Number Forms: Recognize/Relationships
The learner will be able to
recognize relationships, and understand and/or use numbers and number ideas in a real world setting.
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Math Structures: Illustrate/Analyze
The learner will be able to
illustrate and analyze mathematical situations and structures by applying algebraic symbols.
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Place Value: Comprehend/Base Ten
The learner will be able to
develop a comprehension of the base-ten place-value system.
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Odd/Even: Identify/Group
The learner will be able to
identify odd and even numbers within a group.
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Number Sense: Display/Knowledge
The learner will be able to
display a knowledge of number sense.
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Equivalent Forms: Identify/Same Number
The learner will be able to
identify equivalent forms of the same number.
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Equivalent Forms: Decimals/Whole Numbers
The learner will be able to
compare the values of whole numbers and decimals.
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Equivalent Forms: Compose/Decompose
The learner will be able to
create equivalent representations for the same number through decomposing and composing numbers.
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Number Size: Apply Models/Fractions
The learner will be able to
apply models in order to assess the size of fractions.
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Number Size: Apply Benchmarks/Fractions
The learner will be able to
apply benchmarks in order to assess the size of fractions.
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Number Size: Apply/Fractions
The learner will be able to
apply equivalent forms in order to assess the size of fractions.
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Classify Numbers: Explain
The learner will be able to
explain classes of numbers based upon their attributes.
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Number Forms: Understand/Relationships
The learner will be able to
understand number relationships.
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Number Forms: Represent/Understand
The learner will be able to
understand the various ways of representing numbers.
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Number Systems: Understand
The learner will be able to
comprehend number systems.
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Patterns: Geometric/Understand
The learner will be able to
understand and/or apply geometric patterns.
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Patterns: Make/Explain
The learner will be able to
make and explain mental images of patterns, objects, and paths.
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Patterns: Represent/Study
The learner will be able to
use words, tables, and graphs to represent and study patterns and functions.
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Estimation: Create/Apply
The learner will be able to
create and apply methods to estimate computations involving fractions and decimals in scenarios relevant to students' experience.
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Estimation: Apply
The learner will be able to
apply estimation in working with quantities, measurement, and computation.
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Patterns: Relationships
The learner will be able to
apply patterns and relationships in the evaluation of various scenarios.
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Patterns: Relationships
The learner will be able to
make and/or illustrate patterns and/or functional relationships and apply algebraic representations to illustrate problems.
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Compare/Order
The learner will be able to
compare and/or order numbers and/or objects.
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Estimation Strategies
The learner will be able to
apply suitable approximation methods in problem solving situations.
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Number Uses
The learner will be able to
demonstrate an understanding that numbers are used for counting, measuring, ordering, and estimating.
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Patterns: Describe/Analyze/Extend
The learner will be able to
make, study, continue, and/or describe many different patterns.
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Patterns: Identify/Classify
The learner will be able to
identify patterns, and then classify them by pattern type.
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Estimate/Problems: Use
The learner will be able to
use estimation in solving problems.
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Patterns: Number/Describe
The learner will be able to
describe number patterns.
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Patterns: Number/Extend
The learner will be able to
extend patterns of numbers.
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Patterns: Generalize/Number
The learner will be able to
generalize number patterns.
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Pattern: Geometric/Describe
The learner will be able to
describe a geometric pattern.
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Patterns: Geometric/Continue
The learner will be able to
continue geometric patterns.
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Patterns: Generalize/Geometric
The learner will be able to
generalize geometric patterns.
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Quantity: Comprehend/Models
The learner will be able to
comprehend quantitative relationships using mathematical models.
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Quantity: Illustrate/Models
The learner will be able to
illustrate quantitative relationships using mathematical models.
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Patterns: Comprehend
The learner will be able to
comprehend patterns.
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Pattern: Missing Element
The learner will be able to
identify a certain pattern and then use that pattern to determine the missing element in the pattern.
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Ordering Numbers
The learner will be able to
order a sequence of numbers which may include whole numbers, decimals, fractions, percents, and integers.
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Estimation: Money
The learner will be able to
make estimations with money.
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Number Lines: Problem Solving
The learner will be able to
solve real world problems using number lines.
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Change: Analyze/Contexts
The learner will be able to
analyze change in many different contexts.
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Computing
The learner will be able to
correctly perform various computations.
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Computing: In Context
The learner will be able to
perform computations in the context of given problems.
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Computing: Comparisons
The learner will be able to
make comparisons of various computing methods.
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Estimation Strategies: Explain
The learner will be able to
relate estimation methods to others.
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Estimation Strategies: Reasonableness
The learner will be able to
apply estimation to obtain reasonable approximations.
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Numeration: Numbers/Comprehend
The learner will be able to
comprehend numbers.
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Data: Evaluate Conclusions
The learner will be able to
make evaluations of conclusions and/or conjectures that may be drawn from a set of data.
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Data: Represent/Interpret
The learner will be able to
illustrate and/or analyze data, illustrate probability situations, relate trends and/or evaluate or create arguments founded on data.
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Data: Evaluate
The learner will be able to
evaluate bias, accuracy, and validity of data in real world situations.
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Data: Questions/Answer
The learner will be able to
create questions and gather, organize, and illustrate data to answer those questions.
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Chance: Explain/Likely/Unlikely Events
The learner will be able to
explain events as likely or unlikely and describe the degree of likelihood.
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Predictions: Propose/Justify
The learner will be able to
propose and justify conclusions and predictions that have been founded upon data and develop studies to continue investigations of the conclusions or predictions.
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Predictions: Outcome/Simple Event
The learner will be able to
formulate predictions about the outcomes of simple experiments and test the predictions.
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Central Tendency: Apply
The learner will be able to
apply measures of central tendency, with emphasis on the median, and comprehend what each does and does not indicate about the set of data.
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Data Analysis: Inferences
The learner will be able to
gather information and develop inferences based on the analysis of this information.
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Data Analysis: Problem Solving
The learner will be able to
use methods of data analysis to solve problems.
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Data Collection: Investigations
The learner will be able to
develop investigations in order to address a question and consider how data collection strategies have an affect upon the nature of the set of data.
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Probability/Statistics: Application
The learner will be able to
interpret a real world problem situation and solve it using probability and statistics concepts.
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Probability: Comprehend/Concept
The learner will be able to
comprehend the basic concept of probability.
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Probability: Comprehend/Representation
The learner will be able to
comprehend that the likelihood of an event can be represented by a number from zero to one.
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Probability: Use/Basic/Concepts
The learner will be able to
use the basic concepts of probability.
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Data: Numerical/Categorical Data
The learner will be able to
identify the differences in illustrating categorical and numerical data.
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Data: Table/Represent
The learner will be able to
use a table to represent a group of data.
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Data: Graph/Represent
The learner will be able to
use a graph to represent a group of data.
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Data: Compare Representations
The learner will be able to
compare different representations of the same information.
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Data: Analyzing
The learner will be able to
analyze data.
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Data: Interpretation
The learner will be able to
interpret given data.
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Predictions: Formulate
The learner will be able to
make predictions based on a given set of data.
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Statistical Methods: Choose
The learner will be able to
choose suitable statistical methods to analyze data.
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Statistical Methods: Apply
The learner will be able to
apply suitable statistical methods to analyze data.
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Permutations: Understanding
The learner will be able to
demonstrate an understanding of permutations in problem solving situations.
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Combinations: Understanding
The learner will be able to
demonstrate an understanding of combinations in problem solving situations.
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Data Analysis: Real World Applications
The learner will be able to
apply data analysis concepts in real world scenarios.
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Data Analysis: Inferences/Predictions
The learner will be able to
formulate inferences and/or predictions for data.
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Data Analysis: Compare
The learner will be able to
make comparisons of related data sets focusing on data distribution.
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Data Analysis: Evaluate/Inferences
The learner will be able to
evaluate inferences from data.
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Data Analysis: Evaluate/Representations
The learner will be able to
evaluate how well different representations of the same set of data illustrate important characteristics of the data.
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Data Collection: Use/Observations
The learner will be able to
use observations to gather data.
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Data Collection: Use/Surveys
The learner will be able to
use surveys to gather data.
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Data Collection: Use/Experiments
The learner will be able to
use experiments to gather data.
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Data Shapes: Explain
The learner will be able to
explain the shape and important characteristics of a set of organized data.
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Strategies: Applying
The learner will be able to
apply appropriate strategies to solve problems, such as, make a chart or graph, make a simpler problem, work backwards, and break the problem into parts.
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Strategies: Applying
The learner will be able to
solve routine and non-routine problems using a variety of strategies, such as usage of drawings, diagrams, and organized lists, models and "act out", spatial visualization, logical thinking, estimation, patterns, and the guess and check strategy.
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Investigations: Explore/Describe
The learner will be able to
investigate problems and express the nature of results by using a variety of different methods individually and as a member of a cooperative group.
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Problem Solving: Representations
The learner will be able to
choose, use, and translate among mathematical representation to obtain solutions to problems.
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Problem Solving: Evaluate/Justify
The learner will be able to
create problems, make evaluations of mathematical arguments, judge and/or make generalizations of solutions, and justify answers and solutions methods.
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Problem Solving: Applying Math Processes
The learner will be able to
solve real world problems by implementing the necessary mathematical processes.
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Represent Problems: Connections
The learner will be able to
make connections between mathematical representations and their corresponding problem scenarios.
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Represent Problems: Objects
The learner will be able to
represent problem scenarios with objects and apply representations to draw conclusions.
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Necessary Information
The learner will be able to
identify the information needed to solve a problem.
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Solutions: Communicate
The learner will be able to
convey the solutions to problems using appropriate, accurate, and precise mathematical language.
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Solutions: Verify
The learner will be able to
verify solutions to problems.
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Solution: Reasonableness
The learner will be able to
evaluate the reasonableness of a given solution.
|
Strategies: Adapt/Strategies
The learner will be able to
adapt many different appropriate strategies in order to obtain problem solutions.
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Strategies: Applying Variety
The learner will be able to
apply a variety of strategies to obtain problem solutions.
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Problem Solving: Mathematics
The learner will be able to
solve mathematical problems.
|
Problem Solving: Outside Math
The learner will be able to
obtain solutions to problems that arise in contexts outside of mathematics.
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Problem Solving: Non-Routine
The learner will be able to
obtain solutions to non-routine problems.
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Problem Solving Effort: Reflect/Process
The learner will be able to
reflect on the processes applied to solve a problem.
|
Problem Solving Effort: Monitor/Process
The learner will be able to
monitor the processes applied to obtain solutions to mathematical problems.
|
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Real Numbers and the Coordinate Plane
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Coordinate Systems: Create/Apply
The learner will be able to
create and apply coordinate systems in order to name locations and to explain paths.
|
Coordinate System: Applying
The learner will be able to
apply an understanding of the coordinate system.
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Distance: Determine/Vertical Lines
The learner will be able to
determine the distance between points along vertical lines of a coordinate system.
|
Distance: Determine/Horizontal Lines
The learner will be able to
determine the distance between points along horizontal lines of a coordinate system.
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Multiplication/Division: Combinations
The learner will be able to
develop proficiency with basic number combinations for multiplication and division and apply these combinations to mentally calculate associated problems.
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Operations: Whole Numbers/Proficient
The learner will be able to
become proficient in the addition, subtraction, multiplication, and division of whole numbers.
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Multiplication: Comprehend/Meaning
The learner will be able to
comprehend the different meanings of multiplication.
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Multiplication Using Manipulatives
The learner will be able to
use manipulatives to represent multiplication as repeated addition or arrays.
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Division: Comprehend/Meaning
The learner will be able to
comprehend the different meanings of division.
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Divide Whole Numbers
The learner will be able to
perform division on whole numbers.
|
Multiplication/Division: Comprehend
The learner will be able to
comprehend the effects of multiplying and dividing whole numbers.
|
Multiplication Story Problems
The learner will be able to
solve real world problems by determining that multiplication is needed to solve the problems, multiplying the appropriate numbers, and regrouping.
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Division Story Problems: Up to 2-Digits
The learner will be able to
solve real world problems involving division (1-2 digits divided by 1 digit).
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Division Story Problems: Using Remainder
The learner will be able to
determine that division is required, distinguish the relevant elements of the problem, divide the appropriate numbers and understand how to round the remainder within the context of a real world scenario.
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Operations: Meaning
The learner will be able to
understand the meaning of operations.
|
Whole Numbers: Represent
The learner will be able to
represent whole numbers.
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