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mvsd Mathematics The Idaho State Achievement Standards for Mathematics provides skills for kindergarten through twelfth grade.
PreAlgebra The Idaho State Achievement Standards for Mathematics provides skills for eighth grade.
The Idaho State Achievement Standards for Mathematics lists learning goals for students in grades 9-12. |
| Algebraic Concepts |
| The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. This unit includes studying number systems, operations, and forms. Students explore the symbolic nature of algebraic concepts by identifying and extending patterns in algebra, by following algebraic procedures, and by proving theorems with properties. |
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Equations/Inequalities: Solve
The learner will be able to obtain solutions to equations and inequalities.
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Expressions: Evaluate
The learner will be able to evaluate algebraic expressions.
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Rates: Derived Measures/Use
The learner will be able to apply concepts of rates and other derived or indirect measurements.
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Algebraic Concepts: Symbolism/Apply
The learner will be able to apply algebraic symbolism as a tool to represent mathematical relationships.
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*Exponents: Understand/Characteristics
The learner will be able to understand and use exponents.
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Properties: Comprehend/Apply
The learner will be able to comprehend and apply the distributive, associative, commutative, inverse, identity, and substitution property to evaluate algebraic expressions.
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Equations: Understand/Use
The learner will be able to understand and use equations.
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Equations: Translate
The learner will be able to translate elementary word statements and story problems into algebraic equations.
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Inequalities: Comprehend/Apply
The learner will be able to comprehend and apply inequalities.
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Absolute Value: Read/Write/Order/Compare
The learner will be able to read, write, order, and compare absolute values.
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Expressions: Translate
The learner will be able to translate elementary word statements and story problems into algebraic expressions.
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Inverse Operations: Equation/Inequality
The learner will be able to use inverse operations to solve one- and two-step equations and inequalities.
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Computation: Choose/Apply
The learner will be able to choose and apply an appropriate strategy for computation from mental math, paper and pencil, calculator, or a combination of the three.
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Order of Operations: Evaluate/Expression
The learner will be able to apply the order of operations to evaluate numerical expressions.
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Order of Operations: Evaluate/Expression
The learner will be able to apply the order of operations to evaluate algebraic expressions.
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Equations: Various Formats/Represent
The learner will be able to represent a set of data in a table, graph, and as a mathematical relationship.
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Linear Equations: Explore/Representation
The learner will be able to explore graphical representations to illustrate basic linear equations.
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Expressions: Apply Concept
The learner will be able to understand and use variables, expressions, equations and inequalities.
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Expressions: Evaluate
The learner will be able to evaluate and simplify algebraic expressions.
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Variable/Expression/Equation
The learner will be able to understand and use variables in expressions, equations, and inequalities.
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Addition: Identify/Describe/Use/Property
The learner will be able to identify, describe, and use properties of addition.
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Expressions: Translate/Equations
The learner will be able to translate words into basic numerical and algebraic expressions and equations, and translate expressions and equations into words.
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Formulas: Problem Solving
The learner will be able to use a variety of strategies including common mathematical formulas to compute problems drawn from real world situations.
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Formulas: Substitute
The learner will be able to substitute values in a formula with and without regrouping symbols.
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Inequalities: Graph/Simple/Compound
The learner will be able to graph simple and compound inequalities on a number line.
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Linear Equation/Inequality: Solve/System
The learner will be able to obtain solutions to simple linear systems of equations or inequalities.
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Expressions: Procedures/Apply
The learner will be able to apply procedures for operating on algebraic expressions, commutative, associative, identity, zero, inverse, distributive, substitution, multiplication over addition.
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Linear Inequalities: Comprehend/Methods
The learner will be able to comprehend suitable methods to solve linear inequalities.
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| Data Analysis/Probability/Statistics |
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Statistics: Apply
The learner will be able to use suitable statistical measures.
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Data Analysis: Gather/Organize/Display
The learner will be able to gather, organize, and display data.
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Data Analysis: Understanding
The learner will be able to understand data analysis.
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Data Analysis: Predictions/Decisions
The learner will be able to make predictions and decisions bases on data.
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*Data Collection: Organize
The learner will be able to collect, organize, and display data with appropriate notation.
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Probability: Comprehend/Concept
The learner will be able to comprehend the basic concept of probability.
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Probability: Modeling
The learner will be able to model situations involving probability using simulations.
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Statistical Experiments: Perform
The learner will be able to perform statistical experiments and interpret results using tables, charts, or graphs.
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Frequency: Investigate
The learner will be able to investigate the significance of range, frequency, and informal distribution.
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Data: Table/Represent
The learner will be able to use a table and/or graph to represent a mathematical group of data.
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Data: Decisions/Make
The learner will be able to make predictions and decisions based upon data.
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Predictions: Theoretical
The learner will be able to predict probability results of simple events using theoretical probability.
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Predictions: Probability Experiments
The learner will be able to formulate predictions from probability and compound probability experiments.
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Communicating: Use/Vocabulary
The learner will be able to use probability vocabulary.
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Central Tendency: Select
The learner will be able to select the appropriate measure of central tendency from the mean, median, and mode for a given set of data.
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Outcomes: Recognize/Equally Likely
The learner will be able to recognize equally likely events.
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Analyzing Graphs: Conclusions
The learner will be able to describe and justify conclusions made from tables, charts, and graphs.
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Charts: Analyze
The learner will be able to analyze and interpret charts.
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Tables: Analyze
The learner will be able to analyze and interpret information presented in tables.
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Graphs: Interpret
The learner will be able to analyze and interpret information presented in graphs (scatter plots, line, bar, and pie).
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| Decimals |
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Decimals: Understand/Apply
The learner will be able to conceptually understand and apply decimals.
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| Fractions |
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Fractions: Understand/Apply
The learner will be able to understand and apply fractions.
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| Functions |
| The Functions Unit includes exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions. |
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Problem Solving: Apply/Functions
The learner will be able to apply functions to various types of problems.
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Functions: Comprehend/Concept
The learner will be able to comprehend the concept of a function.
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Functions: Linear/Equations/Inequalities
The learner will be able to create equations and/or inequalities that are based on linear functions, apply many different methods of solution, and/or study the solutions in the context of the situation.
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Functional Relationships: Change
The learner will be able to apply a comprehension of functional relationships to describe how a change in one quantity results in a change in another.
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Representations: Variety
The learner will be able to represent functions in various ways.
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| Geometry |
| The Geometry Unit includes Competencies/Objectives which focus on exploring geometric concepts from multiple perspectives. The Geometry Unit includes properties and construction of figures, proofs and theorems, history of geometry, transformations, logic, and problem solving. |
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Figures: One-Dimensional Objects
The learner will be able to precisely explain, classify, and comprehend relationships among types of one-dimensional objects by applying their defining properties.
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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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Transformation: Explore
The learner will be able to explore the results of transformations of geometric shapes, to include slides, flips and turns.
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Transformations: Model/Effects
The learner will be able to model the effects of reflections, translations, and rotations on a variety of geometric shapes.
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Symmetry: Use/Property
The learner will be able to recognize and apply congruence, similarities and symmetry in figures.
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Spatial Relationships: Concept/Use
The learner will be able to use the concept of spatial relationship with one-two and three dimensional objects.
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Right Triangles: Use/Geometry
The learner will be able to use the geometry of right triangles and investigate and apply in problem solving scenarios the Pythagorean theorem.
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Acute/Right/Obtuse Angles: Classify
The learner will be able to classify angles as being acute, obtuse, or right.
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Congruence: Identify
The learner will be able to recognize congruent figures that are created through the translation and/or reflection of geometric figures.
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Congruence: Recognize/Rotation
The learner will be able to recognize congruent shapes that are created through the rotation of geometric figures.
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Triangles: Classify
The learner will be able to classify triangles by the lengths of their sides as scalene, isosceles, or equilateral.
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Triangles: Problem Solving/Sum of Angles
The learner will be able to apply the property that the sum of the interior angles of a triangle is 180 degrees in order to obtain problem solutions.
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Triangles: Sorting
The learner will be able to classify triangles by their angle measures (acute, obtuse, or right).
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Figures: Use/Shape
The learner will be able to understand and apply fundamental concepts, properties, and relationships among points, lines, planes, angles, and shapes.
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Figures: Use/Size
The learner will be able to use the concept of size in relation to perimeter, area, and relation.
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Reasoning: Problems/Identify
The learner will be able to identify problems and express them mathematically by applying reasoning skills.
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Similarity: Transformations/Comprehend
The learner will be able to comprehend similarity as it applies to transformations.
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| Integers |
| The Integers Unit includes Competencies/Objectives which focus on number sense and operations with integers. This unit includes comparing integers, performing operations with integers, converting integers to other number forms, using manipulatives to demonstrate integers, and solving problems with integers in real-world contexts. |
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Integers: Write/Read
The learner will be able to read and write integers.
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Integers: Order/Compare
The learner will be able to order and compare integers.
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| Mathematics Processes |
| The Mathematics Processes Unit focuses on mathematical connections, communication, modeling, concepts and procedures. |
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Mathematical Connections: Solve
The learner will be able to obtain problem solutions, reason, and estimate throughout mathematics.
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Math Concepts: Identify
The learner will be able to recognize concrete and/or symbolic illustrations of vertical, supplementary, complementary, and straight angles, parallel and perpendicular lines, transversals, and/or special quadrilaterals, and apply them to obtain solutions to problems.
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Modeling: Problem Solving
The learner will be able to use appropriate models to obtain problem solutions including computer applications.
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Mathematical Reasoning: Explain
The learner will be able to apply many different methods to describe mathematical reasoning such as words, numbers, symbols, graphical forms, charts, tables, diagrams, and/or models.
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Math Concepts: Choose/Models
The learner will be able to choose appropriate models to represent math concepts.
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Relationships: Describe/Mathematical
The learner will be able to describe relationships involving mathematical concepts.
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Communication: Results/Apply Terminology
The learner will be able to communicate results applying suitable terminology and methods.
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