|
|
|
St, Anastasia School |
|
GRADE 2 |
|
Mathematics - Grade 2 |
|
|
Operations: Concepts
The learner will be able to
display, illustrate, and/or relate to others, a comprehension of operation concepts.
|
Computation: Create/Apply
The learner will be able to
create and apply strategies for computations with whole numbers, emphasizing addition and subtraction.
|
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.
|
Computation: Proficiency
The learner will be able to
exhibit proficiency when performing computational procedures.
|
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.
|
Inequalities: Concept
The learner will be able to
understand the concepts of inequalities.
|
Add/Subtract: Understand/Meaning/Whole
The learner will be able to
understand the meaning of addition and subtraction of whole numbers.
|
Add/Subtract: Comprehend/Relationships
The learner will be able to
comprehend the relationships between addition and subtraction.
|
Operations: Properties/Relationships
The learner will be able to
display comprehension of the properties and/or relationships of operations.
|
Operations: Relationships
The learner will be able to
comprehend the relationships among operations.
|
Operations: Represent/Principles
The learner will be able to
represent the general principles of operations using specific numbers.
|
Operations: Represent/Properties
The learner will be able to
represent the general properties of operations using specific numbers.
|
Operations: Problem Solving
The learner will be able to
use the procedures of operations to obtain problem solutions.
|
Algebraic Concepts: Representations
The learner will be able to
identify algebraic illustrations of problem scenarios.
|
Algebraic Concepts: Procedures
The learner will be able to
understand algebraic procedures.
|
Algebraic Concepts: Problem Solving
The learner will be able to
use algebraic methods to solve mathematical problems.
|
Variable
The learner will be able to
understand the basic concept of a variable as representing an unknown quantity.
|
Computation: Real World Problems
The learner will be able to
obtain solutions to real world problems that involve computations.
|
Computation: Fluency
The learner will be able to
compute fluently.
|
Sets: Identify/How Many
The learner will be able to
identify "how many" in a set of objects.
|
Graphing: Construct/Finish/Data Display
The learner will be able to
construct and/or finish a data display.
|
Bar Graphs: Read
The learner will be able to
read bar graphs.
|
Tables/Charts/Graphs: Understand/Labels
The learner will be able to
understand labels given on graphs, tables, and charts.
|
Analyzing Graphs: Variety/Forms
The learner will be able to
analyze information presented in a variety of graphical forms.
|
Fraction Parts: Understand/Part/Whole
The learner will be able to
develop an understanding that a whole object can be divided up into parts.
|
Fraction Parts: Divide/Equal Parts
The learner will be able to
divide a given shape into equal parts.
|
Fractions: Understand/Common
The learner will be able to
understand commonly used fractions (halves, thirds, fourths, and eighths).
|
Fractions: Illustrate/Common
The learner will be able to
illustrate commonly used fractions.
|
Relations: Comprehend
The learner will be able to
comprehend relations.
|
Functions: Understand
The learner will be able to
understand functions.
|
Functional Relationships: Comprehend
The learner will be able to
display comprehension of functional relationships.
|
Figures: Identify/Location
The learner will be able to
identify geometric shapes and structures in the environment and name their location.
|
Solids: Classify/Discuss
The learner will be able to
classify and discuss solid figures and their attributes.
|
Connecting: Geometry/Measurement/Number
The learner will be able to
relate geometry to associated topics in measurement and number.
|
Positions: Explain/Name/Interpret
The learner will be able to
explain, name, and interpret relative positions in space and use concepts about relative position.
|
Spatial Relationships: Location
The learner will be able to
specify locations and explain spatial relationships by applying coordinate geometry and various other representational systems.
|
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.
|
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.
|
Combine: Explore/Predict
The learner will be able to
explore and predict combining and taking apart two- and three-dimensional figures.
|
Representations: Perspectives
The learner will be able to
represent shapes from various perspectives.
|
Solids: Recognize/3D
The learner will be able to
recognize three-dimensional solids.
|
Solids: Label
The learner will be able to
name three-dimensional solids.
|
Solids: Explain/Parts
The learner will be able to
explain the parts of three-dimensional solids.
|
Solids: Explain/Characteristics
The learner will be able to
explain the characteristics of three-dimensional solids.
|
Solids: Draw
The learner will be able to
draw three-dimensional solids.
|
Solids: Compare Attributes
The learner will be able to
compare characteristics of three-dimensional solids.
|
Solids: Sort/Attributes
The learner will be able to
sort three-dimensional solids by various characteristics.
|
Solids: Study/Characteristics
The learner will be able to
study the characteristics of three-dimensional solids.
|
Solids: Study/Properties
The learner will be able to
study the properties of three-dimensional solids.
|
Solids: Create
The learner will be able to
create solid figures.
|
Shapes: Identify
The learner will be able to
identify two-dimensional figures.
|
Shapes: Name
The learner will be able to
name two-dimensional shapes.
|
Shapes: Explain/Characteristics
The learner will be able to
explain the characteristics of two-dimensional shapes.
|
Shapes: Explain/Parts
The learner will be able to
explain the parts of two-dimensional shapes.
|
Shapes: Draw
The learner will be able to
create drawings of two-dimensional shapes.
|
Shapes: Sort/Attributes
The learner will be able to
sort two-dimensional figures based on their characteristics.
|
Shapes: Compare Attributes
The learner will be able to
compare characteristics of two-dimensional figures.
|
Shapes: Classify
The learner will be able to
classify 2 dimensional geometric shapes by their similarities and differences.
|
Shapes: Study/Characteristics
The learner will be able to
study the characteristics of two-dimensional shapes.
|
Shapes: Study/Properties
The learner will be able to
study the properties of two-dimensional shapes.
|
Shapes: Construct
The learner will be able to
construct two-dimensional shapes.
|
Congruence/Similarity: Classification
The learner will be able to
classify figures by congruence and/or similarity.
|
Transformations: Apply
The learner will be able to
apply transformations to study mathematical situations.
|
Translation: Identify
The learner will be able to
identify a translation of a geometric figure.
|
Translations: Use
The learner will be able to
apply translations.
|
Reasoning: Spatial
The learner will be able to
use spatial reasoning to solve problems.
|
Reasoning: Proportional
The learner will be able to
use proportional reasoning skills.
|
Reasoning: Spatial
The learner will be able to
use spatial reasoning skills.
|
Inductive/Deductive: Apply
The learner will be able to
apply inductive and deductive reasoning to solve problems.
|
Reflection: Identify
The learner will be able to
identify a reflection of a geometric figure.
|
Reflections: Use
The learner will be able to
apply reflections.
|
Proofs: Choose
The learner will be able to
choose from many different methods of proofs.
|
Proofs: Apply
The learner will be able to
apply many different methods of proofs.
|
Rotation: Identify
The learner will be able to
identify a rotation of a geometric figure.
|
Rotation: Use
The learner will be able to
apply rotations.
|
Symmetry: Shape/Identify
The learner will be able to
identify shapes that have symmetry.
|
Symmetry
The learner will be able to
determine if a given shape is symmetrical.
|
Symmetry: Apply
The learner will be able to
apply symmetry to study mathematical scenarios.
|
Symmetry: Create
The learner will be able to
create symmetrical shapes.
|
Problem Solving: Geometric Models
The learner will be able to
obtain solutions to problem situations with geometric models.
|
Spatial Thinking: Problem Solving
The learner will be able to
obtain solutions to problems using spatial visualization.
|
Spatial Thinking: Develop
The learner will be able to
develop mental pictures of geometric shapes using spatial memory.
|
Spatial Thinking: Develop
The learner will be able to
develop mental pictures of geometric shapes using spatial visualization.
|
Spatial Relationships: Identify Shapes
The learner will be able to
identify shapes when viewed from different perspectives.
|
Geometric Relationships: Name
The learner will be able to
name locations with simple relationships.
|
Geometric Relationships: Determine
The learner will be able to
determine locations with simple relationships.
|
Geometric Relationships: Create/Argument
The learner will be able to
create mathematical arguments about geometric relationships.
|
Mathematical Concepts: Express
The learner will be able to
express mathematical thought processes in an understandable and precise way to peers, teachers, and others.
|
Math Concepts: Organize/Thought
The learner will be able to
integrate their mathematical thought processes through communication.
|
Math Concepts: Study/Evaluate
The learner will be able to
study and evaluate the mathematical thought processes and strategies of others.
|
Mathematical Concepts: Comprehend
The learner will be able to
comprehend how mathematical concepts interconnect and build on one another to create a coherent whole.
|
Math as Reasoning: Create/Evaluate
The learner will be able to
create and evaluate mathematical arguments and proofs.
|
Reasoning: Identify/Proof
The learner will be able to
identify reasoning and proof as fundamental aspects of mathematics.
|
Mathematics Communication
The learner will be able to
connect common vocabulary to mathematical terminology, and/or connect models, diagrams, and pictures to mathematical ideas.
|
Learning: Create/Knowledge
The learner will be able to
create new mathematical knowledge through the problem solving process.
|
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.
|
Modeling: Apply/Variety
The learner will be able to
apply a variety of mathematical representations for organizing, recording, and explaining mathematical concepts.
|
Models: Apply/Illustrate/Interpret
The learner will be able to
apply representations to illustrate and interpret physical, social and mathematical scenarios.
|
Modeling: Make
The learner will be able to
make mathematical representations for organizing, recording, and explaining mathematical concepts.
|
Modeling: Problem Situations/Solutions
The learner will be able to
model problem scenarios and obtain solutions.
|
Modeling: Math Situations
The learner will be able to
display and/or model mathematical situations or scenarios.
|
Mathematical Concepts: Identify
The learner will be able to
identify mathematics in contexts outside of mathematics.
|
Math Concepts: Organize/Thought
The learner will be able to
organize their mathematical thought processes through communication.
|
Mathematical Concepts: Use
The learner will be able to
use mathematics in contexts outside of mathematics.
|
Reasoning: Choose/Strategies
The learner will be able to
choose various types of reasoning strategies.
|
Reasoning: Use/Strategies
The learner will be able to
use many different reasoning strategies.
|
Communicate: State/Ideas/Mathematical
The learner will be able to
state mathematical ideas clearly using mathematical language.
|
Communication: Explain Reasoning
The learner will be able to
explain their thought process.
|
Communication: Evaluate Ideas
The learner will be able to
make evaluations of ideas.
|
Mathematical Connections: Identify
The learner will be able to
identify connections among mathematical concepts.
|
Mathematical Connections: Apply
The learner will be able to
apply connections among mathematical concepts.
|
Modeling: Problem Situations
The learner will be able to
model problem scenarios.
|
Conjecture: Explore
The learner will be able to
explore mathematical conjectures.
|
Conjecture: Formulate
The learner will be able to
formulate conjectures.
|
Measurement Processes: Comprehend
The learner will be able to
comprehend the measurable characteristics of objects and the units, systems, and processes of measurement.
|
Money Concepts
The learner will be able to
identify and understand how money is used.
|
Money: Counting
The learner will be able to
count and conduct computations with money.
|
Measurement: Investigate/Manipulatives
The learner will be able to
apply manipulatives to investigate shapes, area, and/or perimeter, and display and illustrate measurement problems.
|
Measurement: Compare
The learner will be able to
compare and order objects according to a measurable attribute of the object.
|
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.
|
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.
|
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.
|
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.
|
Measurement Processes: Describe
The learner will be able to
make descriptions of measurement processes.
|
Measurement Processes: Use
The learner will be able to
use various methods to determine measurements.
|
Measurement Processes: Compare
The learner will be able to
make comparisons of measurement methods.
|
Units: Comprehend/Nonstandard
The learner will be able to
comprehend how to use nonstandard units to measure.
|
Units: Comprehend/Standard
The learner will be able to
comprehend how to use standard units to measure.
|
Units: Measure
The learner will be able to
perform measurements using multiple copies of units of the same size.
|
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.
|
Units: Choose/Appropriate
The learner will be able to
choose a suitable unit of measure for a given attribute of an object.
|
Problem Solving: Rates
The learner will be able to
solve story problems involving the rate (measure) of items.
|
Problem Solving: Scale
The learner will be able to
solve problems involving scale.
|
Problem Solving: Measurement
The learner will be able to
solve problems involving measurement concepts.
|
Length: Identify/Characteristics
The learner will be able to
identify the characteristics of length.
|
Length: Ruler
The learner will be able to
accurately read the appropriate scale on a ruler.
|
Time: Identify/Characteristics
The learner will be able to
identify the characteristics of time.
|
Time: Problem Solving
The learner will be able to
solve problems involving time.
|
Area: Identify/Characteristics
The learner will be able to
identify the characteristics of area.
|
Weight: Identify/Characteristics
The learner will be able to
identify the characteristics of weight.
|
Weight: Metric Instrument
The learner will be able to
measure an object's weight using the appropriate metric instrument.
|
Volume: Identify/Characteristics
The learner will be able to
identify the characteristics of volume.
|
Measurement: Compare
The learner will be able to
create common referents for measures in order to make comparisons.
|
Area of a Square: Using Models
The learner will be able to
use models to find the area of a square.
|
Measurement: Estimation
The learner will be able to
apply measurement approximations.
|
Measurement Estimation: Referents
The learner will be able to
create common referents for measures in order to make estimates.
|
Formulas: Use/Determine Measures
The learner will be able to
use various formulas to determine measurements.
|
Tools: Use/Determine Measures
The learner will be able to
use various tools for determining measurements.
|
Tools: Choose/Appropriate
The learner will be able to
choose a suitable tool to measure a given attribute of an object.
|
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.
|
Place Value: Understand/Apply/Concepts
The learner will be able to
understand and apply place value concepts when reading, writing, calculating, and estimating numbers.
|
Number Sense: Comprehension
The learner will be able to
display, illustrate, and/or relate to others a comprehension of number and/or number relationships.
|
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.
|
Number Theory: Application
The learner will be able to
show an ability to correctly use concepts and/or ideas related to number theory.
|
Classify Numbers: Sort/Order
The learner will be able to
sort, classify, and order objects according to size, number, and various properties.
|
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.
|
Math Structures: Illustrate/Analyze
The learner will be able to
illustrate and analyze mathematical situations and structures by applying algebraic symbols.
|
Place Value: Use/Models
The learner will be able to
use many different models in order to begin to understand place value.
|
Number Sense: Display/Knowledge
The learner will be able to
display a knowledge of number sense.
|
Proportional Reasoning: Use/Problems
The learner will be able to
use proportional reasoning to solve story problems.
|
Number Forms: Understand/Relationships
The learner will be able to
understand number relationships.
|
Number Forms: Represent/Understand
The learner will be able to
understand the various ways of representing numbers.
|
Number Systems: Understand
The learner will be able to
comprehend number systems.
|
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.
|
Patterns: Identify/Explain/Continue
The learner will be able to
identify, explain, and continue patterns and translate from one representation to another representation.
|
Patterns: Relationships
The learner will be able to
apply patterns and relationships in the evaluation of various scenarios.
|
Patterns: Relationships
The learner will be able to
make and/or illustrate patterns and/or functional relationships and apply algebraic representations to illustrate problems.
|
Compare/Order
The learner will be able to
compare and/or order numbers and/or objects.
|
Estimation Strategies
The learner will be able to
apply suitable approximation methods in problem solving situations.
|
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.
|
Number Uses
The learner will be able to
demonstrate an understanding that numbers are used for counting, measuring, ordering, and estimating.
|
Patterns: Describe/Analyze/Extend
The learner will be able to
make, study, continue, and/or describe many different patterns.
|
Estimate/Problems: Use
The learner will be able to
use estimation in solving problems.
|
Patterns: Number/Solve Problems
The learner will be able to
solve problems using number patterns.
|
Quantity: Comprehend/Models
The learner will be able to
comprehend quantitative relationships using mathematical models.
|
Quantity: Illustrate/Models
The learner will be able to
illustrate quantitative relationships using mathematical models.
|
Counting: Understand
The learner will be able to
perform counting with understanding.
|
Counting: Problem Solving
The learner will be able to
solve problems using counting.
|
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.
|
Patterns: Comprehend
The learner will be able to
comprehend patterns.
|
Patterns: Missing Element Position
The learner will be able to
determine the correct place of a missing element in a numerical pattern.
|
Ordering Numbers
The learner will be able to
order a sequence of numbers which may include whole numbers, decimals, fractions, percents, and integers.
|
Change: Explain/Qualitative
The learner will be able to
explain qualitative change.
|
Change: Explain/Quantitative
The learner will be able to
explain quantitative change.
|
Change: Analyze/Contexts
The learner will be able to
analyze change in many different contexts.
|
Computing
The learner will be able to
correctly perform various computations.
|
Computing: In Context
The learner will be able to
perform computations in the context of given problems.
|
Computing: Comparisons
The learner will be able to
make comparisons of various computing methods.
|
Estimation Strategies: Explain
The learner will be able to
relate estimation methods to others.
|
Estimation Strategies: Reasonableness
The learner will be able to
apply estimation to obtain reasonable approximations.
|
Numeration: Numbers/Comprehend
The learner will be able to
comprehend numbers.
|
Patterns: Study/Creating
The learner will be able to
study how repeating patterns are created.
|
Patterns: Study/Growing
The learner will be able to
study how growing patterns are created.
|
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.
|
Data: Evaluate
The learner will be able to
evaluate bias, accuracy, and validity of data in real world situations.
|
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.
|
Data: Questions/Answer
The learner will be able to
create questions and gather, organize, and illustrate data to answer those questions.
|
Data: Sort/Classify
The learner will be able to
sort and classify objects based upon their characteristics and organize data about the objects.
|
Data Analysis: Problem Solving
The learner will be able to
use methods of data analysis to solve problems.
|
Data Collection: Questions
The learner will be able to
pose questions and collect data about themselves and their environment.
|
Probability/Statistics: Application
The learner will be able to
interpret a real world problem situation and solve it using probability and statistics concepts.
|
Probability
The learner will be able to
identify the probability of a given situation.
|
Probability: Comprehend/Concept
The learner will be able to
comprehend the basic concept of probability.
|
Probability: Use/Basic/Concepts
The learner will be able to
use the basic concepts of probability.
|
Data: Graph/Represent
The learner will be able to
use a graph to represent a group of data.
|
Data: Compare
The learner will be able to
make comparisons of data.
|
Data: Analyzing
The learner will be able to
analyze data.
|
Data: Interpretation
The learner will be able to
interpret given data.
|
Chance: Describe/Experiences
The learner will be able to
describe events associated with students' experiences as likely or unlikely.
|
Predictions: Formulate
The learner will be able to
make predictions based on a given set of data.
|
Statistical Methods: Choose
The learner will be able to
choose suitable statistical methods to analyze data.
|
Statistical Methods: Apply
The learner will be able to
apply suitable statistical methods to analyze data.
|
Data Analysis: Real World Applications
The learner will be able to
apply data analysis concepts in real world scenarios.
|
Data Analysis: Inferences/Predictions
The learner will be able to
formulate inferences and/or predictions for data.
|
Data Analysis: Evaluate/Inferences
The learner will be able to
evaluate inferences from data.
|
Data Display: Use/Physical Objects
The learner will be able to
use physical objects to represent data.
|
Data Display: Use/Pictures
The learner will be able to
use pictures to represent data.
|
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.
|
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.
|
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.
|
Problem Solving: Applying Math Processes
The learner will be able to
solve real world problems by implementing the necessary mathematical processes.
|
Problem Solving: Representations
The learner will be able to
choose, use, and translate among mathematical representation to obtain solutions to problems.
|
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.
|
Represent Problems: Connections
The learner will be able to
make connections between mathematical representations and their corresponding problem scenarios.
|
Necessary Information
The learner will be able to
identify the information needed to solve a problem.
|
Solutions: Verify
The learner will be able to
verify solutions to problems.
|
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.
|
Strategies: Applying Variety
The learner will be able to
apply a variety of strategies to obtain problem solutions.
|
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.
|
Problem Solving: Non-Routine
The learner will be able to
obtain solutions to non-routine problems.
|
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.
|
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.
|
Addition/Subtraction: Comprehend/Effects
The learner will be able to
comprehend the effects of adding and subtracting whole numbers.
|
Addition/Subtraction: Represent
The learner will be able to
use concrete objects, pictures, and/or symbols to represent addition and subtraction with whole numbers.
|
Add/Subtract: Combinations
The learner will be able to
develop fluency with basic addition and subtraction number combinations.
|
Multiplication/Division: Comprehend
The learner will be able to
comprehend situations that involve multiplying and dividing.
|
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.
|
Subtraction Story Problems: Basic Facts
The learner will be able to
solve story problems using basic subtraction facts; no regrouping required.
|
Operations: Meaning
The learner will be able to
understand the meaning of operations.
|
|
