|
mvsd Mathematics The Idaho State Achievement Standards for Mathematics provides skills for kindergarten through twelfth grade.
Grade 7 The Idaho State Achievement Standards for Mathematics provides skills for seventh grade. |
| 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. |
|
Solve Equations/Inequalities: Algebraic
The learner will be able to obtain solutions to algebraic equations and inequalities.
|
|
Expressions: Evaluate
The learner will be able to evaluate algebraic expressions.
|
|
Algebraic Concepts: Symbolism/Apply
The learner will be able to apply algebraic symbolism as a tool to represent mathematical relationships.
|
|
Properties: Evaluate
The learner will be able to evaluate mathematical and algebraic expressions using the following properties: associative, commutative, identity, substitution, inverse and zero properties.
|
|
Equations: Translate
The learner will be able to translate elementary word statements and story problems into algebraic equations.
|
|
Expressions: Translate
The learner will be able to translate elementary word statements and story problems into algebraic expressions.
|
|
Variables: Develop/Use
The learner will be able to develop the use of variables in elementary expressions and equations.
|
|
Order of Operations: Evaluate/Expression
The learner will be able to understand and apply the order of operations to evaluate algebraic expressions.
|
|
Equations and Inequalities: Various Form
The learner will be able to represent a set of data in a table, graph, and as a mathematical relationship.
|
|
Equations: Solutions
The learner will be able to find solutions of simple one-step equations using negative numbers.
|
|
Linear Equations: Explore/Representation
The learner will be able to explore graphical representations to illustrate basic linear equations.
|
|
Exponents: Explore and Evaluate
The learner will be able to understand and use exponents.
|
|
Inverse Operations: Solve/One-Step
The learner will be able to use inverse operations to solve one-step equations.
|
|
Rates: Derived Measures/Use
The learner will be able to use the concept of rates and other derived or indirect measurements.
|
|
Symbols: Express/Relationships
The learner will be able to apply the greater than, less than, equal, greater that or equal, less than or equal, and not equal to symbols to express relationships.
|
| Data Analysis/Probability/Statistics |
|
Data Display: Graph/Table/Chart
The learner will be able to use graphs, tables, charts, and/or diagrams to display collected data.
|
|
Statistics: Simple/Use
The learner will be able to use simple statistical measurements.
|
|
Data Analysis: Comprehend
The learner will be able to illustrate a comprehension of data analysis.
|
|
Data: Decisions/Make
The learner will be able to make predictions or decisions based upon data.
|
|
Probability: Comprehend/Concept
The learner will be able to comprehend the basic concept of probability.
|
|
Measures of Central Tendency: Apply
The learner will be able to comprehend and apply the measures of central tendency (mean, median, mode) for basic sets of data.
|
|
Frequency: Investigate
The learner will be able to investigate the significance of range, frequency, and informal distribution.
|
|
Predictions: Theoretical
The learner will be able to predict probability results of simple events using theoretical probability.
|
|
Predictions: Probability Experiments
The learner will be able to formulate predictions from probability experiments.
|
|
Communicating: Use/Vocabulary
The learner will be able to understand and use probability vocabulary.
|
|
Outcomes: Recognize/Equally Likely
The learner will be able to recognize equally likely events.
|
|
Experiments: Perform and Record Results
The learner will be able to perform and record the results of probability experiments.
|
|
Analyzing Graphs: Conclusions
The learner will be able to describe and justify conclusions made from tables, charts, and graphs.
|
|
Tables: Read and Interpret
The learner will be able to read and make interpretations of tables.
|
|
Charts: Read and Interpret
The learner will be able to read and interpret information presented in a chart.
|
|
Graphs: Read and Interpret
The learner will be able to read and interpret information presented in graphs (scatter plots, line graphs, bar graphs, pie charts).
|
|
Data Collection: Organize
The learner will be able to collect, organize ,and display data with appropriate notation in tables, charts, and graphs (scatter plots, line graphs, bar graphs, and pie charts).
|
|
Data: Make Decisions
The learner will be able to make predictions and decisions based on information.
|
| Decimals |
| The Decimals Unit includes Competencies/Objectives which focus on number sense and operations with decimals. The Decimals Unit includes comparison, computing, money, estimation, problem solving and reasoning. |
|
Decimals: Order and Compare
The learner will be able to read, write, order and compare decimal numbers.
|
|
Decimals: Basic skills
The learner will be able to add, subtract, multiply, and divide decimals.
|
| Fractions |
| The Fractions Unit includes Competencies/Objectives which focus on number sense and operations with fractions. The Fractions Unit includes comparison, ordering, fractions parts, estimation, reasoning and problem solving. |
|
Ordering and Comparing Fractions
The learner will be able to read, write, order and compare fractions.
|
|
Fractions: Basic Skills
The learner will be able to add, subtract, multiply, and divide fractions.
|
| Functions |
| The Functions Unit includes exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions. |
|
Representations: Variety
The learner will be able to represent functions in various formats.
|
|
Functions: Comprehend/Concept
The learner will be able to comprehend the concept of a function.
|
|
Apply: Functions
The learner will be able to apply functions to a variety of problems.
|
|
Problem Solving: Apply/Functions
The learner will be able to apply patterns and functions to represent and solve various types of problems.
|
|
Functional Relationships: Change
The learner will be able to identify a comprehension of functional relationships to describe how a change in one quantity results in a change in another.
|
|
Functions: Rule/Extend Patterns
The learner will be able to extend patterns and identify a rule (function) that generates the pattern using real numbers.
|
| 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. |
|
Figures: Shape/Size/Spatial Relationship
The learner will be able to apply concepts of size, shape, and spatial relationships.
|
|
Right Triangles: Explore/Geometry
The learner will be able to explore the geometry of right triangles.
|
|
Figures: Two-/Three-Dimensional Objects
The learner will be able to use appropriate vocabulary to precisely explain, classify, and comprehend relationships among types of two- and three-dimensional objects by applying their defining properties.
|
|
Lines/Angles: Apply
The learner will be able to apply fundamental concepts, properties and relationships among points, lines, angles, and shapes.
|
|
Congruence: Apply/Characteristics
The learner will be able to recognize and apply characteristics of congruent figures.
|
|
Similarity: Apply/Characteristics
The learner will be able to recognize and apply characteristics of similar figures.
|
|
Transformation: Explore
The learner will be able to explore and model the results of transformations of geometric shapes, to include translations, reflections, and rotations (slides, flips and turns).
|
|
Symmetry: Use/Property
The learner will be able to use the property of symmetry in figures.
|
|
Surface Area: Investigate
The learner will be able to investigate the concept of surface area.
|
|
Volume: Investigate
The learner will be able to investigate the concept of volume.
|
|
Formulas: Use
The learner will be able to use formulas for perimeter, circumference and area of triangles, quadrilaterals, and circles.
|
|
Instruments: Apply/Measure/Construct
The learner will be able to apply suitable instruments to construct and measure various angles and shapes.
|
| 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. |
|
Integers: Read and Write
The learner will be able to read and write integers.
|
|
Integers: Order and Compare
The learner will be able to order and compare integers.
|
|
Explore: Operations
The learner will be able to investigate basic operations with integers.
|
|
Absolute Value: Read/Write/Order/Compare
The learner will be able to read, write, order, and compare absolute values.
|
| Mathematics Processes |
| The Mathematics Processes Unit focuses on mathematical connections, communication, modeling, concepts and procedures. |
|
Computation: Accuracy
The learner will be able to perform computations accurately.
|
|
Communicating: Reasoning
The learner will be able to use reasoning skills to recognize problems and express them mathematically.
|
|
Communication: Results/Apply Terminology
The learner will be able to communicate results applying suitable methods, terminology, and notation.
|
|
Mathematical Reasoning: Explain
The learner will be able to apply many different methods to describe and communicate mathematical reasoning and concepts such as words, numbers, symbols, graphical forms, and/or models.
|
|
Math Concepts: Choose/Models
The learner will be able to apply appropriate tools and models to represent math concepts and find solutions to problems.
|
|
Communicate: State/Ideas/Mathematical
The learner will be able to state mathematical ideas clearly using mathematical language and appropriate notation.
|
|
Conjecture: Formulate
The learner will be able to formulate and justify conjectures.
|
|
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.
|
|
Order of Operations: Evaluate/Expression
The learner will be able to understand and apply the order of operations to evaluate numerical expressions.
|
| Measurement |
| The Measurement Unit includes Competencies/Objectives which focus on measurement concepts, applications, and analysis. The Measurement Unit includes concepts of length, area, circumference, perimeter, volume, weight, formulas, distance, calendar, money, tools, accuracy, units, constructions, patterns and problem solving. |
|
Dimensional Analysis: Unit Relationship
The learner will be able to apply dimensional analysis.
|
|
Units: Comprehend
The learner will be able to comprehend both customary and metric units of measurement.
|
|
Units: Apply/Customary/Metric
The learner will be able to apply both customary and metric units of measurement.
|
|
Problem Solving: Measure
The learner will be able to obtain solutions to problems involving the measures of length, perimeter, area, volume (capacity), weight, mass, and temperature.
|
|
Units: Real World/Comprehend
The learner will be able to comprehend the relationship between units and real world applications.
|
|
Area/Volume/Length: Differences
The learner will be able to identify the differences and relationships between length, area, and volume (capacity) measure in the metric and U.S. Customary measurement systems.
|
|
Indirect Measurement: Use/Concept
The learner will be able to apply the concept of indirect measurements using rates.
|
|
Measurement: Appropriate Units
The learner will be able to select and use appropriate units and tools to make formal measurements, in both systems.
|
|
Measurement: Estimation
The learner will be able to apply estimation of measurement to real-world and content problems using actual measuring devices.
|
|
Measurement: Convert Within Systems
The learner will be able to convert unit of measurement within each system.
|
| Number Theory |
| The Number Theory Unit focuses on manipulating number forms and classifications. Students make connections between number forms and their real-world applications. |
|
Ratio/Proportion: Develop/Application
The learner will be able to develop the applications of scale, ratio, and proportion.
|
|
Ratio/Percent: Expand
The learner will be able to expand the use of percents and ratios to obtain solutions to problems.
|
|
Proportions: Apply/Concepts
The learner will be able to apply the concepts of proportions.
|
|
Ratio: Apply
The learner will be able to apply the concept of ratio.
|
|
Number Theory: Apply
The learner will be able to use and understand numbers.
|
|
Number Forms: Apply/Notation
The learner will be able to apply mathematical notations appropriately.
|
|
Vocabulary: Apply/Appropriate
The learner will be able to apply appropriate vocabulary.
|
|
Magnitude: Understand
The learner will be able to understand the magnitudes and relative magnitudes of integers, fractions, decimals, and real numbers.
|
|
Number Theory Concepts: Understand
The learner will be able to develop and apply number theory concepts.
|
| Numeration |
| The Numeration Unit focuses on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships. |
|
Estimating: Application
The learner will be able to both estimate and judge the reasonableness of results.
|
|
Patterns: Problem Solving/Display
The learner will be able to display problems and obtain problem solutions through the applications of patterns and functions.
|
|
Estimation: Appropriate Uses
The learner will be able to identify when estimation is appropriate, and understand the usefulness of an estimate as distinct from an exact answer.
|
|
Estimation: Results
The learner will be able to determine if an estimation is an underestimation or an overestimation.
|
|
Patterns: Extend
The learner will be able to extend patterns.
|
|
Pattern: Identify/Rules
The learner will be able to identify rules which govern real number patterns.
|
|
Estimation Strategies: Predicting
The learner will be able to apply estimation strategies to forecast computational results.
|
| Problem Solving |
| The Problem Solving Unit focuses on the problem solving effort. This unit includes analyzing problems, evaluating solutions, problem exploration, and strategies. |
|
Strategies: Solving Skills/Comprehend
The learner will be able to comprehend various problem solving skills.
|
|
Strategies: Use
The learner will be able to use a variety of strategies to solve problems.
|
|
Reasoning: Problems/Express
The learner will be able to apply solutions and strategies to new problem situations problem by applying reasoning skills.
|
|
Solutions: Adapt/Solutions
The learner will be able to adapt previously used solutions to new problem situations.
|
|
Necessary Information
The learner will be able to identify the information needed to solve a problem.
|
|
Strategies: Adapt
The learner will be able to adapt previously used problem solving strategies to new problems.
|
|
Strategies: Daily life/Apply
The learner will be able to apply various methods, including common mathematical formulas, to obtain problem solutions drawn from everyday life.
|
| Rational and Irrational Numbers |
| The Rational and Irrational Numbers Unit includes manipulating, comparing, and performing operations with rational numbers. |
|
Rational Numbers: Comprehend
The learner will be able to comprehend the location of rational numbers on a number line.
|
| Real Numbers and the Coordinate Plane |
| The Real Numbers and the Coordinate Plane Unit includes graphing equations, and making connections between algebraic concepts and their geometric correspondences. |
|
Graphing: Two Dimensions/Apply
The learner will be able to use and construct graphs in two dimensions.
|
|
Real Numbers: Ordering and Comparing
The learner will be able to order and compare a set of real numbers.
|
|
Coordinate Plane: Identify Points
The learner will be able to identify points on a coordinate plane.
|
|
Coordinate Plane: Plot Points
The learner will be able to plot points on a coordinate grid.
|
|
Real Numbers: Read and Write
The learner will be able to read and write real numbers.
|
| Technology |
| The Technology Unit includes studying computer hardware and software, uses for calculators, and applications of technology in problem solving. |
|
Problem Solving: Technology
The learner will be able to solve problems using technology.
|
|
Technology as a Tool: Comprehend
The learner will be able to comprehend the purpose and capabilities of using appropriate technology as a tool to problem solve.
|
|
Programming: Data Manipulation
The learner will be able to use computer programming to correctly perform data manipulation.
|
|
Computers: Display Data
The learner will be able to display data using computer applications.
|