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Mathematics
· Grade 2

Copyright
Credits
Board Members
Foreword
Mission Statement
Superintendent Letter
Introduction
Ordering Info


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

Made with Curriculum Designer
Made with
Curriculum Designer by
EdVISION Corporation

St, Anastasia School
GRADE 2
Mathematics - Grade 2

Algebraic Concepts

Operations: Concepts
The learner will be able to display, illustrate, and/or relate to others, a comprehension of operation concepts.
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Computation: Create/Apply
The learner will be able to create and apply strategies for computations with whole numbers, emphasizing addition and subtraction.
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Computation: Apply/Methods/Tools
The learner will be able to apply many different methods and tools to perform computations, including objects, mental computation, estimation, paper and pencil, and calculators.
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Computation: Proficiency
The learner will be able to exhibit proficiency when performing computational procedures.
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Symbols: Apply
The learner will be able to apply physical, pictorial, and verbal illustrations in order to develop an understanding of invented and conventional symbolic notations.
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Inequalities: Concept
The learner will be able to understand the concepts of inequalities.
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Add/Subtract: Understand/Meaning/Whole
The learner will be able to understand the meaning of addition and subtraction of whole numbers.
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Add/Subtract: Comprehend/Relationships
The learner will be able to comprehend the relationships between addition and subtraction.
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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: Represent/Principles
The learner will be able to represent the general principles of operations using specific numbers.
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Operations: Represent/Properties
The learner will be able to represent the general properties of operations using specific numbers.
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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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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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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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Sets: Identify/How Many
The learner will be able to identify "how many" in a set of objects.
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Data Interpretation

Graphing: Construct/Finish/Data Display
The learner will be able to construct and/or finish a data display.
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Bar Graphs: Read
The learner will be able to read bar graphs.
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Tables/Charts/Graphs: Understand/Labels
The learner will be able to understand labels given on graphs, tables, and charts.
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Analyzing Graphs: Variety/Forms
The learner will be able to analyze information presented in a variety of graphical forms.
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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: Divide/Equal Parts
The learner will be able to divide a given shape into equal parts.
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Fractions: Understand/Common
The learner will be able to understand commonly used fractions (halves, thirds, fourths, and eighths).
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Fractions: Illustrate/Common
The learner will be able to illustrate commonly used fractions.
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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: Identify/Location
The learner will be able to identify geometric shapes and structures in the environment and name their location.
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Solids: Classify/Discuss
The learner will be able to classify and discuss solid figures and their attributes.
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Connecting: Geometry/Measurement/Number
The learner will be able to relate geometry to associated topics in measurement and number.
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Positions: Explain/Name/Interpret
The learner will be able to explain, name, and interpret relative positions in space and use concepts about relative position.
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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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Combine: Explore/Predict
The learner will be able to explore and predict combining and taking apart two- and three-dimensional figures.
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Representations: Perspectives
The learner will be able to represent shapes from various perspectives.
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Solids: Recognize/3D
The learner will be able to recognize three-dimensional solids.
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Solids: Label
The learner will be able to name three-dimensional solids.
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Solids: Explain/Parts
The learner will be able to explain the parts of three-dimensional solids.
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Solids: Explain/Characteristics
The learner will be able to explain the characteristics of three-dimensional solids.
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Solids: Draw
The learner will be able to draw three-dimensional solids.
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Solids: Compare Attributes
The learner will be able to compare characteristics of three-dimensional solids.
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Solids: Sort/Attributes
The learner will be able to sort three-dimensional solids by various characteristics.
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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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Solids: Create
The learner will be able to create solid figures.
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Shapes: Identify
The learner will be able to identify two-dimensional figures.
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Shapes: Name
The learner will be able to name two-dimensional shapes.
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Shapes: Explain/Characteristics
The learner will be able to explain the characteristics of two-dimensional shapes.
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Shapes: Explain/Parts
The learner will be able to explain the parts of two-dimensional shapes.
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Shapes: Draw
The learner will be able to create drawings of two-dimensional shapes.
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Shapes: Sort/Attributes
The learner will be able to sort two-dimensional figures based on their characteristics.
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Shapes: Compare Attributes
The learner will be able to compare characteristics of two-dimensional figures.
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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: 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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Shapes: Construct
The learner will be able to construct two-dimensional shapes.
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Congruence/Similarity: Classification
The learner will be able to classify figures by congruence and/or similarity.
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Transformations: Apply
The learner will be able to apply transformations to study mathematical situations.
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Translation: Identify
The learner will be able to identify a translation of a geometric figure.
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Translations: Use
The learner will be able to apply translations.
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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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Reflection: Identify
The learner will be able to identify a reflection of a geometric figure.
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Reflections: Use
The learner will be able to apply reflections.
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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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Rotation: Identify
The learner will be able to identify a rotation of a geometric figure.
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Rotation: Use
The learner will be able to apply rotations.
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Symmetry: Shape/Identify
The learner will be able to identify shapes that have symmetry.
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Symmetry
The learner will be able to determine if a given shape is symmetrical.
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Symmetry: Apply
The learner will be able to apply symmetry to study mathematical scenarios.
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Symmetry: Create
The learner will be able to create symmetrical shapes.
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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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Spatial Thinking: Develop
The learner will be able to develop mental pictures of geometric shapes using spatial memory.
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Spatial Thinking: Develop
The learner will be able to develop mental pictures of geometric shapes using spatial visualization.
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Spatial Relationships: Identify Shapes
The learner will be able to identify shapes when viewed from different perspectives.
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Geometric Relationships: Name
The learner will be able to name locations with simple relationships.
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Geometric Relationships: Determine
The learner will be able to determine locations with simple relationships.
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Geometric Relationships: Create/Argument
The learner will be able to create mathematical arguments about geometric relationships.
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Mathematics Processes

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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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: 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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Math as Reasoning: Create/Evaluate
The learner will be able to create and evaluate mathematical arguments and proofs.
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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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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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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: 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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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: Make
The learner will be able to make mathematical representations for organizing, recording, and explaining mathematical concepts.
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Modeling: Problem Situations/Solutions
The learner will be able to model problem scenarios and obtain solutions.
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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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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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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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Communication: Evaluate Ideas
The learner will be able to make evaluations of ideas.
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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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Money Concepts
The learner will be able to identify and understand how money is used.
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Money: Counting
The learner will be able to count and conduct computations with money.
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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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Measurement: Compare
The learner will be able to compare and order objects according to a measurable attribute of the object.
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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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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 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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Distance: Explain/Name/Interpret
The learner will be able to explain, name, and interpret direction and distance in navigating space and use concepts about direction and distance.
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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: Comprehend/Nonstandard
The learner will be able to comprehend how to use nonstandard units to measure.
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Units: Comprehend/Standard
The learner will be able to comprehend how to use standard units to measure.
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Units: Measure
The learner will be able to perform measurements using multiple copies of units of the same size.
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Units: Measure/Larger
The learner will be able to apply the repetition of a single unit in order to measure something larger than the unit.
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Units: Choose/Appropriate
The learner will be able to choose a suitable unit of measure for a given attribute of an object.
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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: Identify/Characteristics
The learner will be able to identify the characteristics of length.
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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: Identify/Characteristics
The learner will be able to identify the characteristics of time.
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Time: Problem Solving
The learner will be able to solve problems involving time.
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Area: Identify/Characteristics
The learner will be able to identify the characteristics of area.
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Weight: Identify/Characteristics
The learner will be able to identify the characteristics of weight.
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Weight: Metric Instrument
The learner will be able to measure an object's weight using the appropriate metric instrument.
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Volume: Identify/Characteristics
The learner will be able to identify the characteristics of volume.
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Measurement: Compare
The learner will be able to create common referents for measures in order to make comparisons.
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Area of a Square: Using Models
The learner will be able to use models to find the area of a square.
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Measurement: Estimation
The learner will be able to apply measurement approximations.
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Measurement Estimation: Referents
The learner will be able to create common referents for measures in order to make estimates.
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Formulas: Use/Determine Measures
The learner will be able to use various formulas to determine measurements.
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Tools: Use/Determine Measures
The learner will be able to use various tools for determining measurements.
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Tools: Choose/Appropriate
The learner will be able to choose a suitable tool to measure a given attribute of an object.
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Word Names: Connect/Quantities
The learner will be able to connect number words and numbers to the quantities they represent by applying many different concrete models and representations.
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Place Value: Understand/Apply/Concepts
The learner will be able to understand and apply place value concepts when reading, writing, calculating, and estimating numbers.
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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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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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Classify Numbers: Sort/Order
The learner will be able to sort, classify, and order objects according to size, number, and various properties.
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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: Use/Models
The learner will be able to use many different models in order to begin to understand place value.
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Number Sense: Display/Knowledge
The learner will be able to display a knowledge of number sense.
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Proportional Reasoning: Use/Problems
The learner will be able to use proportional reasoning to solve story problems.
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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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Number Systems: Use/Models
The learner will be able to use many different models in order to begin to understand the base-ten number system.
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Patterns: Identify/Explain/Continue
The learner will be able to identify, explain, and continue patterns and translate from one representation to another representation.
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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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Magnitude: Comprehend/Position
The learner will be able to develop a comprehension of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections.
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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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Estimate/Problems: Use
The learner will be able to use estimation in solving problems.
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Patterns: Number/Solve Problems
The learner will be able to solve problems using number 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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Counting: Understand
The learner will be able to perform counting with understanding.
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Counting: Problem Solving
The learner will be able to solve problems using counting.
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Ordinal Number
The learner will be able to identify the ordinal number (first, second, third, etc.) of a specific object in a row of objects.
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Patterns: Comprehend
The learner will be able to comprehend patterns.
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Patterns: Missing Element Position
The learner will be able to determine the correct place of a missing element in a numerical 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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Change: Explain/Qualitative
The learner will be able to explain qualitative change.
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Change: Explain/Quantitative
The learner will be able to explain quantitative change.
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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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Patterns: Study/Creating
The learner will be able to study how repeating patterns are created.
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Patterns: Study/Growing
The learner will be able to study how growing patterns are created.
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Probability/Statistics

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: Explain/Part/Whole
The learner will be able to explain parts of data and data as a whole in order to determine what the data illustrate.
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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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Data: Sort/Classify
The learner will be able to sort and classify objects based upon their characteristics and organize data about the objects.
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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: Questions
The learner will be able to pose questions and collect data about themselves and their environment.
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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
The learner will be able to identify the probability of a given situation.
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Probability: Comprehend/Concept
The learner will be able to comprehend the basic concept of probability.
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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: Graph/Represent
The learner will be able to use a graph to represent a group of data.
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Data: Compare
The learner will be able to make comparisons of data.
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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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Chance: Describe/Experiences
The learner will be able to describe events associated with students' experiences as likely or unlikely.
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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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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: Evaluate/Inferences
The learner will be able to evaluate inferences from data.
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Data Display: Use/Physical Objects
The learner will be able to use physical objects to represent data.
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Data Display: Use/Pictures
The learner will be able to use pictures to represent data.
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Problem Solving

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: Applying Math Processes
The learner will be able to solve real world problems by implementing the necessary mathematical processes.
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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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Represent Problems: Connections
The learner will be able to make connections between mathematical representations and their corresponding problem scenarios.
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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: 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.
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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.
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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.
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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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Number Sense: Develop/Represent
The learner will be able to develop whole number sense and represent and apply whole numbers in flexible ways, including relating, composing, and decomposing numbers.
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Addition/Subtraction: Comprehend/Effects
The learner will be able to comprehend the effects of adding and subtracting whole numbers.
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Addition/Subtraction: Represent
The learner will be able to use concrete objects, pictures, and/or symbols to represent addition and subtraction with whole numbers.
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Add/Subtract: Combinations
The learner will be able to develop fluency with basic addition and subtraction number combinations.
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Multiplication/Division: Comprehend
The learner will be able to comprehend situations that involve multiplying and dividing.
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Addition Story Problems: Add 1-2 Digits
The learner will be able to solve story problems involving adding whole numbers with one- to two-digits.
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Subtraction Story Problems: Basic Facts
The learner will be able to solve story problems using basic subtraction facts; no regrouping required.
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Operations: Meaning
The learner will be able to understand the meaning of operations.
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