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Meigs County |
| Number Theory |
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Number Size: Rational/Irrational
The learner will be able to illustrate an understanding of the relative size of rational and irrational numbers.
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Number Systems: Real
The learner will be able to illustrate a comprehension of the subsets, elements, properties, and operations of the real number system.
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Number Forms: Notation
The learner will be able to apply mathematical notations appropriately.
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Number Theory Concepts: Apply
The learner will be able to use number theory concepts in mathematical problem scenarios.
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Number Theory: Problem Solving
The learner will be able to use number theory concepts to solve problems.
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Number Forms: Representing/Real-World
The learner will be able to use real numbers to illustrate real-world applications.
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| Algebraic Concepts |
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Variable: Describe
The learner will be able to describe the definition of a variable in an expression, equation, and inequality.
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Variable: Expression/Equation
The learner will be able to use the concept of variable to simplify expressions and obtain solutions to equations.
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Variables: Solve Inequalities
The learner will be able to apply the idea of a variable in obtaining solutions to inequalities.
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Expressions: Operations/Justify
The learner will be able to perform operations on simple expressions, and informally justify the procedures selected.
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Algebraic Concepts: Measure/Approximate
The learner will be able to obtain solutions to problems in measurement and approximation using algebraic thought processes and symbolism.
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Properties: Communicate/Use
The learner will be able to communicate and use algebraic properties in symbolic manipulation.
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Linear Equations: Solve
The learner will be able to obtain solutions to linear systems employing a variety of methods including matrices.
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Linear Equations: Explain Transformation
The learner will be able to explain the transformations of the graph the exists when coefficients and/or constants of the corresponding linear equations are changed.
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Inequality: Interpret
The learner will be able to interpret graphs of inequalities.
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Absolute Value: Connect
The learner will be able to connect concrete, graphical, oral, and symbolic illustrations of absolute value.
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Inverse: Explain/Illustrate
The learner will be able to informally explain and illustrate the concept of inverse.
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Inverse Operations: Describing
The learner will be able to describe the inverse operations of addition/subtraction and multiplication/division.
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Inverse Operations: Use
The learner will be able to use the concept of inverse.
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Inverse Operations: Model
The learner will be able to model inverse operations.
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Inverse Operations: Use
The learner will be able to use inverse operations.
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Algebraic Concepts: Interpret
The learner will be able to interpret the outcomes of algebraic procedures.
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Rates: Understand
The learner will be able to illustrate an understanding of rates and various derived and indirect measurements.
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| Real Numbers and the Coordinate Plane |
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Graphing: Inequalities
The learner will be able to graph inequalities on the coordinate plane.
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Real Numbers: Choose/Use
The learner will be able to choose and use an appropriate strategy for computing with real numbers.
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| Data Interpretation |
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Graphs: Draw/Interpret
The learner will be able to draw and/or interpret graphs which model real-world phenomena.
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| Functions |
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Functions: Explain
The learner will be able to explain the domain and range of functions and describe restrictions imposed by either the operations or by the real-world scenario which the functions illustrate.
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Graphing: Analyze/Explain Behavior
The learner will be able to study graphs to explain the behavior of functions.
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Representations: Functions
The learner will be able to represent many different functions.
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Representations: Real-World Phenomena
The learner will be able to use functions (such as tables, graphs, and expressions) to model real-world phenomena.
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Functions: Identify
The learner will be able to identify many different functions.
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Functions: Relationships/Illustrate
The learner will be able to identify relationships which can and cannot be illustrated by a function.
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| Numeration |
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Patterns: Study/Algebra/Geometry
The learner will be able to study mathematical patterns associated with algebra and geometry in real-world problem solving situations.
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Pattern: Spatial/Identify/Continue/Make
The learner will be able to identify, continue, and/or make spatial patterns.
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Pattern: Create/Numbers
The learner will be able to create patterns using numbers.
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Pattern: Identify
The learner will be able to identify number patterns.
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Pattern: Extend
The learner will be able to extend patterns of numbers.
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Pattern: Geometric/Identify
The learner will be able to identify geometric patterns.
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Pattern: Functional Notation
The learner will be able to apply algebraic thought processes to generalize a pattern by expressing the pattern in function notation.
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Pattern: Extend
The learner will be able to extend and make geometric patterns.
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Estimation Strategies: Predicting
The learner will be able to apply estimation strategies to forecast computational results.
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| Geometry |
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Inductive Reasoning: Conjecture
The learner will be able to apply techniques of inductive reasoning to formulate a conjecture.
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Problem Solving: Applying Concepts
The learner will be able to apply learned geometry concepts in solving problems.
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Problem Solving: Properties/Formulas
The learner will be able to use geometric relationships, properties, and formulas to obtain solutions to real-world problems.
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Triangles: Right/Relationships
The learner will be able to use right triangle relationships including the Pythagorean Theorem, distance formula and/or trigonometric ratios.
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| Measurement |
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Problem Solving: Real-World
The learner will be able to apply the ideas of length, area, surface area, and volume to approximate and solve real-world problems.
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Problem Solving: Geometric
The learner will be able to use measurement ideas and relationships in geometric problem-solving situations.
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Problem Solving: Algebraic
The learner will be able to use measurement ideas and relationships in algebraic problem-solving scenarios.
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Measurement: Estimation/Computation
The learner will be able to describe the concepts and methods applied in estimation, measurement, and computation.
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Measurement Concepts:Rate of Change
The learner will be able to use the concept of rate of change.
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| Problem Solving |
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Investigations: Individual/Groups
The learner will be able to explore problems individually or in cooperative groups.
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Solution: Reasonableness
The learner will be able to evaluate the reasonableness of a given solution.
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| Probability/Statistics |
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Data: Gather/Illustrate/Explain
The learner will be able to gather, illustrate and explain linear and nonlinear data sets formulated from the real world.
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Problem Solving: Application
The learner will be able to use the ideas of probability and statistics in many different problem solving contexts.
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Graphing: Select/Create/Study
The learner will be able to select, create, and study suitable graphical illustrations for a set of data including pie charts, histograms, stem and leaf plots, scatterplots and/or box and whisker plots.
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Probability: Law of Large Numbers
The learner will be able to use the Law of Large Numbers.
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Predictions: Lines of Best Fit
The learner will be able to use lines of best fit to make predictions from a set of data.
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Measure of Central Tendency: Interpret
The learner will be able to interpret a group of data using the suitable measure of central tendency.
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Sampling: Apply Randomness
The learner will be able to apply the idea of randomness in sampling.
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Counting Principle: Technology
The learner will be able to use the counting principles of permutations and combinations applying suitable technology.
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| Technology |
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Problem Solving: Technology
The learner will be able to appropriately use technology to solve problems.
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| Calculus and Pre-Calculus |
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Matrices: Problems/Technology
The learner will be able to apply matrices in real-world problem solving using appropriate technology.
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