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St, Anastasia School |
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GRADE 8 |
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Mathematics - Grade 8 |
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Properties: Apply
The learner will be able to
apply the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition in order to simplify computations with integers, fractions, and decimals.
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Linear Equations: Model/Solve
The learner will be able to
model and solve simple linear equations using concrete, informal and formal strategies.
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Inequalities
The learner will be able to
solve for the value of a variable given in an inequality and as shown on a graph by manipulating the inequality correctly.
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Expressions: Investigate/Relationships
The learner will be able to
investigate relationships between symbolic expressions and graphs of lines, focusing on the meaning of intercept and slope.
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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: Understand/Effects
The learner will be able to
comprehend the meaning and effects of operations on fractions, decimals, and integers.
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Inverse Operations: Comprehend/Apply
The learner will be able to
comprehend and apply inverse relationships of addition and subtraction, multiplication and division, and squares and square roots in order to simplify computations and obtain problem solutions.
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Algorithms: Create/Study
The learner will be able to
create and study algorithms for computing with fractions, decimals, and integers and develop proficiency in applying them.
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Computation: Proficiency
The learner will be able to
exhibit proficiency when performing computational procedures.
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Computation: Choose
The learner will be able to
choose suitable methods and tools for computations with fractions and decimals from among mental calculation, approximation, calculators or computers, and paper and pencil, as appropriate for the situation, and use the chosen methods.
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Problem Solving: Apply/Symbols
The learner will be able to
apply symbolic algebra to represent scenarios and obtain solutions to problems, focusing on those that involve linear relationships.
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Solution Methods: Proportions
The learner will be able to
create, describe, and analyze methods for obtaining solutions to problems involving proportions.
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Missing Element: Compare/Equations
The learner will be able to
compare two equations and solve for a missing element in the two equations.
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Properties: Multiplication/Associative
The learner will be able to
use the associative property of multiplication when multiplying numbers.
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Properties: Multiplication/Commutative
The learner will be able to
use the commutative property of multiplication when multiplying numbers.
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Linear Equations: Solve
The learner will be able to
obtain solutions to linear equations.
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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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Expressions: Identify/Equivalent Forms
The learner will be able to
identify equivalent forms for simple algebraic expressions.
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Expressions: Variable/Create
The learner will be able to
create a variable expression.
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Expressions: Create/Equivalent Forms
The learner will be able to
create equivalent forms for simple algebraic expressions.
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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: 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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Variable: Understanding
The learner will be able to
develop a beginning conceptual understanding of the various uses of variables.
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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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Solution Methods: Work Backwards
The learner will be able to
""work backwards" to solve story problems.
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Bar Graphs: Interpretation
The learner will be able to
interpret information given in the form of a bar graph and interpret the results in a variety of forms (percents, fractions, etc.).
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Line Graphs: Compare/Analyze
The learner will be able to
identify values from a line graph, determine that addition or subtraction is needed to find an answer, compare values, and use critical thinking skills to analyze the graph.
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Table: Story Problems/Multiple-step
The learner will be able to
use and interpret information presented in a table, diagram, or chart to solve real world story problems involving multiple operations.
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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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Circle Graphs: Determine/Percent
The learner will be able to
determine the number represented by a percent on a given circle graph.
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Bar Graphs: Read
The learner will be able to
read bar graphs.
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Pictographs: Analyze
The learner will be able to
analyze data on a pictograph.
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Graphs: Extrapolate/Estimate
The learner will be able to
extrapolate to estimate values not given on graphs.
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Diagrams: Interpret
The learner will be able to
interpret diagrams.
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Flow Chart: Apply
The learner will be able to
apply their knowledge of flow charts by determining the output of given numbers.
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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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Analyzing Graphs: Variety/Forms
The learner will be able to
analyze information presented in a variety of graphical forms.
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Analyzing Graphs: Interpret/Integers
The learner will be able to
interpret graphical data involving integers.
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Analyzing Graphs: Solve/Story Problems
The learner will be able to
interpret graphical data to solve story problems.
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Problem Solving: Decimals
The learner will be able to
work flexibly with decimals in order to obtain solutions to problems.
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Compare/Order Fractions
The learner will be able to
order and compare fractions, compare fractions with different denominators, compare a fraction with its lowest term, find a missing number in a fraction equation, and identify, from a list of fractions with different denominators, which fraction is the largest.
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Fraction Notation: Use/Solve/Problems
The learner will be able to
use fraction notation in context (as a ratio, in division, or as part of a whole) to solve story problems.
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Fractions: Solve/Multiple/Operations
The learner will be able to
solve story problems involving multiple operations with fractions.
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Problem Solving: Fractions
The learner will be able to
work flexibly with fractions in order to obtain solutions to problems.
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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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Functions: Recognize
The learner will be able to
recognize functions as linear or nonlinear and contrast their properties from tables, graphs, or equations.
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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: Two-/Three-Dimensional Objects
The learner will be able to
precisely explain, classify, and comprehend relationships among types of two- and three-dimensional objects by applying their defining properties.
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Transformations: Apply
The learner will be able to
apply transformations in order to examine the congruence, similarity, and line or rotational symmetry of objects.
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Transformations: Explain
The learner will be able to
explain sizes, positions, and orientations of shapes under informal transformations.
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Geometric Concepts: Relationships
The learner will be able to
identify and use geometric concepts and relationships in topics outside of the mathematics classroom.
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Inductive/Deductive: Formulate/Assess
The learner will be able to
formulate and assess inductive and deductive arguments with regard to geometric concepts and relationships.
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Planes/Points/Lines: Apply Concepts
The learner will be able to
apply the ideas of planes, points, and/or lines in one, two, and/or three dimensions.
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Problem Solving: Apply/Representations
The learner will be able to
apply two-dimensional representations of three-dimensional objects to visualize and obtain solutions to problems.
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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 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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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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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 Models: Apply
The learner will be able to
apply geometric models to illustrate and describe numerical and algebraic relationships.
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Geometric Relationships: Properties
The learner will be able to
analyze and recognize relationships between properties of geometric figures in 2 and 3 dimensions using geometric concepts.
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Figures: Draw/Objects
The learner will be able to
draw geometric objects with given 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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Figures: Problem Solving/3-D Diagram
The learner will be able to
construct a diagram to aid in the solution of a problem involving three-dimensional space.
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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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Congruence/Similarity: Classification
The learner will be able to
classify figures by congruence and/or similarity.
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Lines: Apply
The learner will be able to
describe the real world applications of the properties of intersecting, diagonal, horizontal, vertical, parallel, and perpendicular lines.
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Rays
The learner will be able to
use the basic elements of rays.
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Angles: Measuring
The learner will be able to
measure angles.
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Circle: Diameter/Circumference Problems
The learner will be able to
solve a problem in the context of a real world scenario with diameter and circumference.
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Transformation: Problem Solving
The learner will be able to
solve problems using transformations.
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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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Constructions: Figures
The learner will be able to
construct various geometric figures.
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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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Geometric Relationships: Comprehend
The learner will be able to
comprehend relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects.
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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: Illustrate/Compare/Meaning
The learner will be able to
create meaning for integers and illustrate and compare quantities with them.
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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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Math Concepts: Organize/Thought
The learner will be able to
integrate their mathematical thought processes through communication.
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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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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
display and/or model mathematical situations or scenarios.
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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
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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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: Relating
The learner will be able to
relate models to concepts and/or ideas.
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Conjecture: Apply/Question
The learner will be able to
apply conjectures to create new questions and design new studies to answer them.
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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: Relate
The learner will be able to
relate various forms of representations for a relationship.
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Relationships: Compare
The learner will be able to
make comparisons of various forms of representations for a relationship.
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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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Units: Understand/Choose/Apply
The learner will be able to
understand, choose, and apply units of suitable size and type to measure angles, perimeter, area, surface area, and volume.
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Money: Logical Reasoning
The learner will be able to
use logical reasoning and basic operations to determine an unknown amount of money by manipulating the known amounts.
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Surface Area/Volume: Create/Strategies
The learner will be able to
create strategies in order to find the surface area and volume of given prisms, pyramids, and cylinders.
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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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Capacity: Metric/Story Problem
The learner will be able to
read a real world problem involving metric capacity measurements, determine the problem and best solution method, and convert units (within the metric system), when necessary, to find the answer.
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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/Apply
The learner will be able to
create and apply formulas to find the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and create methods to determine the area of more complex shapes.
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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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Tools: Choose/Use
The learner will be able to
choose and use strategies and tools to accurately determine length, area, volume, and angle measures to suitable levels of precision.
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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: Relationships/Comprehend
The learner will be able to
comprehend the relationships between units.
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Units: Comprehend/Metric
The learner will be able to
comprehend the metric system of measurement.
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Units: Comprehend/Customary
The learner will be able to
comprehend the customary system of measurement.
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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: Rates
The learner will be able to
obtain solutions to simple problems involving rates and other derived measures.
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Problem Solving: Measurement
The learner will be able to
solve problems involving measurement concepts.
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Perimeter: Multiple Step Story Problem
The learner will be able to
determine an object's perimeter when multiple calculations are required and the information is given in the context of a real life scenario.
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Area: Calculate
The learner will be able to
calculate the area of a given figure.
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Weight: Standard/Addition Story Problem
The learner will be able to
determine the standard weight of a combination of items where regrouping weight units is required.
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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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Area of a Rectangle: Multiple-step
The learner will be able to
solve for the area of a rectangle through a multiple-step word problem.
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Measurement: Estimation
The learner will be able to
apply measurement approximations.
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Measurement Estimation: Apply
The learner will be able to
apply common benchmarks to choose appropriate methods for approximating measurements.
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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
accurately convert, within a measurement system, from one unit to another.
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Conversion: Between Systems
The learner will be able to
solve problems which require converting units of measurement between systems.
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Conversion: Metric/Application
The learner will be able to
apply metric conversion skills (converting within the metric system) to solve real world application problems.
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Conversion: Within System/Story Problem
The learner will be able to
convert a measurement, within a system, to solve a problem within the context of a real life scenario.
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Tools: Use/Determine Measures
The learner will be able to
use various tools for determining measurements.
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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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Read Numbers: Identify
The learner will be able to
read and/or identify numbers.
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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 Size: Comprehend/Large Numbers
The learner will be able to
develop a comprehension of large numbers and identify and appropriately apply exponential, scientific, and calculator notation.
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Ratio/Proportion: Comprehend/Apply
The learner will be able to
comprehend and apply ratios and proportions to illustrate quantitative relationships.
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Prime/Composite: Identify/Numbers
The learner will be able to
identify prime numbers, multiples of prime numbers, and composite numbers.
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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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Number Sense: Display/Knowledge
The learner will be able to
display a knowledge of number sense.
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Ratio/Proportion: Apply/Problem Solve
The learner will be able to
apply ratio and proportion to obtain solutions to problems involving scale factors.
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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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Primes: Solve/Problems
The learner will be able to
use relatively prime numbers to obtain problem solutions.
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Multiples: Solve/Problems
The learner will be able to
use multiples to obtain problem solutions.
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Factors: Apply/Problem Solve
The learner will be able to
apply factors to obtain solutions to problems.
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Prime Factorization: Use/Problem Solve
The learner will be able to
use prime factorization to solve 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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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: Fraction/Decimal/Percent
The learner will be able to
make comparisons and place in order fractions, decimals, and percents efficiently and determine their approximate locations on a number line.
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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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Pattern: Represent/Study/Generalize
The learner will be able to
represent, study, and generalize many different patterns with tables, graphs, words, and symbolic rules, when possible.
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Estimate/Problems: Use
The learner will be able to
use estimation in solving problems.
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Patterns: Problem Solving/Functions
The learner will be able to
solve problems using functions and patterns.
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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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Patterns: Comprehend
The learner will be able to
comprehend patterns.
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Pattern: Articulating Connections
The learner will be able to
make abstract connections in pattern identification and extension, and articulate the connections.
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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: Real-life Situations
The learner will be able to
identify situations where estimation is appropriate.
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Estimation: Money
The learner will be able to
make estimations with money.
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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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Number Sense: Create/Meaning
The learner will be able to
create meaning for percents greater than one hundred and less than one.
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Problem Solving: Interest
The learner will be able to
calculate interest earned in the context of a real world scenario.
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Problem Solving: Real World
The learner will be able to
solve real world problem situations where percents are used.
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Problem Solving: Percents
The learner will be able to
work flexibly with percents in order to obtain solutions to problems.
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Calculate Percentages: Sale Price
The learner will be able to
calculate the sale price of an item given a percentage discount.
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Probability: Create/Test/Conjectures
The learner will be able to
apply proportionality and a basic comprehension of probability to formulate and test conjectures about the results of experiments and simulations.
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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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Data: Describe/Evaluate
The learner will be able to
describe and/or evaluate data.
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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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Central Tendency: Determine/Apply
The learner will be able to
determine, apply, and interpret measures of central tendency and spread, including mean and interquartile range.
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Sampling: Formulate Conjectures
The learner will be able to
formulate conjectures about potential relationships between two attributes of a sample on the basis of scatterplots of the data and approximate lines of best fit.
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Sampling: Concepts
The learner will be able to
develop an intuitive sense of the concepts of sampling and recognize its role in statistical claims.
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Complementary/Mutually Exclusive: Apply
The learner will be able to
apply and understand appropriate vocabulary in order to explain complementary and mutually exclusive events.
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Statistics: Application
The learner will be able to
understand concepts, processes, and properties of statistics.
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Experiments: Create/Design
The learner will be able to
create questions, compose studies, and gather data about an attribute shared by two populations or different attributes within one population.
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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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Graphing: Choose/Create/Apply
The learner will be able to
choose, create, and apply suitable graphical representations of data, including histograms, box plots, and scatterplots.
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Data Display: Describe/Comprehend
The learner will be able to
describe and comprehend the correspondence between sets of data and their graphical representations, focusing on histograms, stem-and-leaf plots, box plots, and scatterplots.
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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: Calculate/Compound
The learner will be able to
calculate the probabilities for simple compound events.
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Probability: Use/Basic/Concepts
The learner will be able to
use the basic concepts of probability.
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Probability: Experimental
The learner will be able to
model the real world by making up and completing experiments to determine probability.
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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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Sampling: Apply/Observations
The learner will be able to
apply observations about the differences between two or more samples to formulate conjectures about the populations from which the samples were taken.
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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: Evaluate/Inferences
The learner will be able to
evaluate inferences from data.
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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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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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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: 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: 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: Apply/Tools
The learner will be able to
apply visual tools to obtain solutions to 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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Represent Problems: Solve
The learner will be able to
obtain solutions to contextualized problems using many different representations.
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Represent Problems: Apply/Tools
The learner will be able to
apply visual tools to represent problems.
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Represent Problems: Solve
The learner will be able to
model contextualized problems using many different representations.
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Rational and Irrational Numbers
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Rational Numbers: Computations
The learner will be able to
create and apply methods to estimate the results of computations with rational numbers and judge the reasonableness of the results.
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Real Numbers and the Coordinate Plane
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Coordinate System: Applying
The learner will be able to
apply an understanding of the coordinate system.
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Coordinate Geometry: Use/Represent
The learner will be able to
apply coordinate geometry to represent the properties of geometric shapes.
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Coordinate Geometry: Use/Examine
The learner will be able to
apply coordinate geometry to examine the properties of geometric shapes.
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Coordinate Geometry: Examine
The learner will be able to
examine special geometric shapes by applying coordinate geometry.
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Linear Relationships: Apply/Graphs
The learner will be able to
apply graphs to study the nature of changes in quantities in linear relationships.
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Operations: Meaning
The learner will be able to
understand the meaning of operations.
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