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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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