mvsd
Math Curriculum 01/12/03

Mathematics - Practical Math

Mathematics

The Idaho State Achievement Standards for Mathematics provides skills for kindergarten through twelfth 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.

    Expressions: Evaluate
The learner will be able to evaluate algebraic expressions.
Strand Bloom's Scope Hours Source
Expressions Master ID: State Achievement Standards, 2001, Grade 8, 340.02
  
    Equations/Inequalities: Solve
The learner will be able to obtain solutions to equations and inequalities.
Strand Bloom's Scope Hours Source
Equality/Inequality Master ID: State Achievement Standards, 2001, Grade 8, 340.03
  
    Solve Equations/Inequalities: Algebraic
The learner will be able to obtain solutions to algebraic equations and inequalities.
Strand Bloom's Scope Hours Source
Solve Equations Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 330.03; ISAT
  
    Algebraic Concepts: Symbolism/Apply
The learner will be able to apply algebraic symbolism as a tool to represent mathematical relationships.
Strand Bloom's Scope Hours Source
Algebraic Concepts Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 330.01; ISAT
  
    Expressions: Evaluate
The learner will be able to evaluate algebraic expressions.
Strand Bloom's Scope Hours Source
Expressions Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 330.02; ISAT
  
    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.
Strand Bloom's Scope Hours Source
Properties Comprehension Master ID: State Achievement Standards, 2001, Grade 7, 330.02.a; ISAT
  
    Equations: Translate
The learner will be able to translate elementary word statements and story problems into algebraic equations.
Strand Bloom's Scope Hours Source
Equations Application Master ID: State Achievement Standards, 2001, Grade 7, 330.01.b; ISAT
  
    Expressions: Translate
The learner will be able to translate elementary word statements and story problems into algebraic expressions.
Strand Bloom's Scope Hours Source
Expressions Application Master ID: State Achievement Standards, 2001, Grade 7, 330.01.b; ISAT
  
    Variables: Develop/Use
The learner will be able to develop the use of variables in elementary expressions and equations.
Strand Bloom's Scope Hours Source
Variable Application Master ID: State Achievement Standards, 2001, Grade 7, 330.01.a; ISAT
  
    Order of Operations: Evaluate/Expression
The learner will be able to understand and apply the order of operations to evaluate algebraic expressions.
Strand Bloom's Scope Hours Source
Order of Operations Application Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 330.02.b; ISAT
  
    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.
Strand Bloom's Scope Hours Source
Equations Application Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 333.02.a; ISAT
  
    Equations: Solutions
The learner will be able to find solutions of simple one-step equations using negative numbers.
Strand Bloom's Scope Hours Source
Equations Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 330.03.b; ISAT
  
    Linear Equations: Explore/Representation
The learner will be able to explore graphical representations to illustrate basic linear equations.
Strand Bloom's Scope Hours Source
Linear Equations Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 330.03.c; ISAT
  
    Exponents: Explore and Evaluate
The learner will be able to understand and use exponents.
Strand Bloom's Scope Hours Source
Exponents Analysis Master 1.5 ID: State Achievement Standards, 2001, Grade 7, 327.02.c; ISAT
  
    Inverse Operations: Solve/One-Step
The learner will be able to use inverse operations to solve one-step equations.
Strand Bloom's Scope Hours Source
Inverse Operations Application Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 330.03.a; ISAT
  
    Rates: Derived Measures/Use
The learner will be able to use the concept of rates and other derived or indirect measurements.
Strand Bloom's Scope Hours Source
Rates Application Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 329.02; ISAT
  
    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.
Strand Bloom's Scope Hours Source
Symbols Application Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 330.01.c; ISAT
  
    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.
Strand Bloom's Scope Hours Source
Properties Comprehension Master 4.2 ID: State Achievement Standards, 2001, Grade 8, 340.02.a
  
    Inequalities: Comprehend/Apply
The learner will be able to comprehend and apply inequalities.
Strand Bloom's Scope Hours Source
Inequalities Comprehension Master ID: State Achievement Standards, 2001, Grade 8, 340.01.a.; ID: State Achievement Standards, 2001, Grade 350.01.a; ISAT
  
    Absolute Value: Read/Write/Order/Compare
The learner will be able to read, write, order, and compare absolute values.
Strand Bloom's Scope Hours Source
Absolute Value Knowledge Master ID: State Achievement Standards, 2001, Grade 8, 337.01.a; ISAT
  
    Expressions: Translate
The learner will be able to translate elementary word statements and story problems into algebraic expressions.
Strand Bloom's Scope Hours Source
Expressions Application Master ID: State Achievement Standards, 2001, Grade 8, 340.01.b; ISAT
  
    Inverse Operations: Equation/Inequality
The learner will be able to use inverse operations to solve one- and two-step equations and inequalities.
Strand Bloom's Scope Hours Source
Inverse Operations Application Master ID: State Achievement Standards, 2001, Grade 8, 340.03.a; ISAT
  
    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.
Strand Bloom's Scope Hours Source
Computation Application Master ID: State Achievement Standards, 2001, Grade 8, 337.02.e
  
    Order of Operations: Evaluate/Expression
The learner will be able to apply the order of operations to evaluate numerical expressions.
Strand Bloom's Scope Hours Source
Order of Operations Application Master 1.0 ID: State Achievement Standards, 2001, Grade 8347.02.a; 337.02.c; ISAT
  
    Order of Operations: Evaluate/Expression
The learner will be able to apply the order of operations to evaluate algebraic expressions.
Strand Bloom's Scope Hours Source
Order of Operations Application Master 1.0 District Expectation; 340.02.c; ISAT
  
    Expressions: Evaluate
The learner will be able to evaluate and simplify algebraic expressions.
Strand Bloom's Scope Hours Source
Expressions Application Master 1.0 ID: State Achievement Standards, 2001, Grade 8350.02.; ID: State Achievement Standards, 2001, Grade 350.02; 340.02.c; ISAT
  
    Variable/Expression/Equation
The learner will be able to understand and use variables in expressions, equations, and inequalities.
Strand Bloom's Scope Hours Source
Variable Comprehension Master 0.5 ID: State Achievement Standards, 2001, Grade 8, 350.01.a.; ID: State Achievement Standards, 2001, Grade 350.01.a; 340.01.a; ISAT
  
    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.
Strand Bloom's Scope Hours Source
Expressions Analysis Master Source: ID: State Achievement Standards, 2001, Grade 8, 340.01.b; ISAT
  
    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.
Strand Bloom's Scope Hours Source
Formulas Application Master 1.5 ID: State Achievement Standards, 2001, Grade 7, 338.01.a; ISAT
  
    Formulas: Substitute
The learner will be able to substitute values in a formula with and without regrouping symbols.
Strand Bloom's Scope Hours Source
Formulas Application Master 1.0 Source: ID: State Achievement Standards, 2001, Grade 8, 338.01.b; ISAT
  
    Inequalities: Graph/Simple/Compound
The learner will be able to graph simple and compound inequalities on a number line.
Strand Bloom's Scope Hours Source
Inequalities Application Master 1.0 Source: ID: State Achievement Standards, 2001, Grade 8, 338.04.a; ISAT
  
    Linear Inequalities: Comprehend/Methods
The learner will be able to comprehend suitable methods to solve linear inequalities.
Strand Bloom's Scope Hours Source
Linear Inequalities Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 350.03.a; 340.03.a; ISAT
  

Data Analysis/Probability/Statistics

    Data Analysis: Predictions/Decisions
The learner will be able to make predictions and decisions bases on data.
Strand Bloom's Scope Hours Source
Data Analysis Master ID: State Achievement Standards, 2001, Grade 8, 342.05
  
    Statistics: Apply
The learner will be able to use suitable statistical measures.
Strand Bloom's Scope Hours Source
Statistics Master ID: State Achievement Standards, 2001, Grade 8, 342.03
  
    Data Analysis: Gather/Organize/Display
The learner will be able to gather, organize, and display data.
Strand Bloom's Scope Hours Source
Data Analysis Master ID: State Achievement Standards, 2001, Grade 8, 342.02
  
    Data Analysis: Understanding
The learner will be able to understand data analysis.
Strand Bloom's Scope Hours Source
Data Analysis Master ID: State Achievement Standards, 2001, Grade 8, 342.01
  
    Data Display: Graph/Table/Chart
The learner will be able to use graphs, tables, charts, and/or diagrams to display collected data.
Strand Bloom's Scope Hours Source
Data Display Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 332.02; ISAT
  
    Statistics: Simple/Use
The learner will be able to use simple statistical measurements.
Strand Bloom's Scope Hours Source
Statistics Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 332.03; ISAT
  
    Data Analysis: Comprehend
The learner will be able to illustrate a comprehension of data analysis.
Strand Bloom's Scope Hours Source
Data Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 332.01; ISAT
  
    Probability: Comprehend/Concept
The learner will be able to comprehend the basic concept of probability.
Strand Bloom's Scope Hours Source
Probability Master 0.5 ID: State Achievement Standards, 2001, Grade 7, 332.04; ISAT
  
    Data: Decisions/Make
The learner will be able to make predictions or decisions based upon data.
Strand Bloom's Scope Hours Source
Data Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 332.05; ISAT
  
    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.
Strand Bloom's Scope Hours Source
Measures of Central Tendency Application Master ID: State Achievement Standards, 2001, Grade 7, 332.03.a; ISAT
  
    Frequency: Investigate
The learner will be able to investigate the significance of range, frequency, and informal distribution.
Strand Bloom's Scope Hours Source
Frequency Analysis Master ID: State Achievement Standards, 2001, Grade 7, 332.03.b; ISAT
  
    Predictions: Theoretical
The learner will be able to predict probability results of simple events using theoretical probability.
Strand Bloom's Scope Hours Source
Predictions Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 332.05.a; ISAT
  
    Communicating: Use/Vocabulary
The learner will be able to understand and use probability vocabulary.
Strand Bloom's Scope Hours Source
Communicating Application Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 332.04.b; ISAT
  
    Outcomes: Recognize/Equally Likely
The learner will be able to recognize equally likely events.
Strand Bloom's Scope Hours Source
Outcomes Knowledge Master 0.5 ID: State Achievement Standards, 2001, Grade 7, 332.04.c; ISAT
  
    Experiments: Perform and Record Results
The learner will be able to perform and record the results of probability experiments.
Strand Bloom's Scope Hours Source
Experiments Knowledge Master 0.5 ID: State Achievement Standards, 2001, Grade 7, 332.04.a; ISAT
  
    Analyzing Graphs: Conclusions
The learner will be able to describe and justify conclusions made from tables, charts, and graphs.
Strand Bloom's Scope Hours Source
Analyzing/Evaluating Graphical Forms Analysis Master ID: State Achievement Standards, 2001, Grade 7, 332.01.b; ISAT
  
    Tables: Read and Interpret
The learner will be able to read and make interpretations of tables.
Strand Bloom's Scope Hours Source
Tables/Charts Analysis Master 0.5 ID: State Achievement Standards, 2001, Grade 7, 332.01.a; ISAT
  
    Charts: Read and Interpret
The learner will be able to read and interpret information presented in a chart.
Strand Bloom's Scope Hours Source
Tables/Charts Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 332.01.a; ISAT
  
    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).
Strand Bloom's Scope Hours Source
Graphing Analysis Master 0.5 ID: State Achievement Standards, 2001, Grade 7, 332.01.a; ISAT
  
    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).
Strand Bloom's Scope Hours Source
Data Collection and Classification Application Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 332.02.a; ISAT
  
    Frequency: Investigate
The learner will be able to investigate the significance of range, frequency, and informal distribution.
Strand Bloom's Scope Hours Source
Frequency Analysis Master ID: State Achievement Standards, 2001, Grade 8, 342.03.b
  
    Probability: Comprehend/Concept
The learner will be able to comprehend the basic concept of probability.
Strand Bloom's Scope Hours Source
Probability Master 0.5 ID: State Achievement Standards, 2001, Grade 8, 342.04; ID: Direct Mathematics Assessment, 1999, Grade 8, Tested Week 14.; ID: State Achievement Standards, 2001, Grade 352.04
  
    Data: Table/Represent
The learner will be able to use a table and/or graph to represent a mathematical group of data.
Strand Bloom's Scope Hours Source
Data Application Master 1.0 ID: State Achievement Standards, 2001, Grade 8, 343.02.a;353.02.a.; ID: State Achievement Standards, 2001, Grade 353.02.a; ISAT
  
    Predictions: Theoretical
The learner will be able to predict probability results of simple events using theoretical probability.
Strand Bloom's Scope Hours Source
Predictions Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 8, 342.05.a; ISAT
  
    Communicating: Use/Vocabulary
The learner will be able to use probability vocabulary.
Strand Bloom's Scope Hours Source
Communicating Application Master 1.0 ID: State Achievement Standards, 2001, Grade 8, 342.04.b; ISAT
  
    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.
Strand Bloom's Scope Hours Source
Measures of Central Tendency Application Master 1.0 ID: State Achievement Standards, 2001, Grade 8, 342.03.a
  
    Outcomes: Recognize/Equally Likely
The learner will be able to recognize equally likely events.
Strand Bloom's Scope Hours Source
Outcomes Knowledge Master 0.5 ID: State Achievement Standards, 2001, Grade 8, 342.04.c; ISAT
  
    Analyzing Graphs: Conclusions
The learner will be able to describe and justify conclusions made from tables, charts, and graphs.
Strand Bloom's Scope Hours Source
Analyzing/Evaluating Graphical Forms Analysis Master ID: State Achievement Standards, 2001, Grade 8, 342.01.b; ISAT
  
    Charts: Analyze
The learner will be able to analyze and interpret charts.
Strand Bloom's Scope Hours Source
Tables/Charts Analysis Master 1.0 District Expectation; 342.01.a; ISAT
  
    Tables: Analyze
The learner will be able to analyze and interpret information presented in tables.
Strand Bloom's Scope Hours Source
Tables/Charts Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 8, 342.01.a; ID: Direct Mathematics Assessment, 1999, Grade 8, Tested Week 14; ISAT
  

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.
Strand Bloom's Scope Hours Source
Decimals Application Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 327.01.a; ISAT
  
    Decimals: Basic skills
The learner will be able to add, subtract, multiply, and divide decimals.
Strand Bloom's Scope Hours Source
Computing Master 1.0 State Achievement Standards 2001, Grade 7, 327.02.a; ISAT
  
    Decimals: Understand/Apply
The learner will be able to conceptually understand and apply decimals.
Strand Bloom's Scope Hours Source
Decimals Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 347.01.a; 337.01.a
  

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.
Strand Bloom's Scope Hours Source
Ordering Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 327.01.a; ISAT
  
    Fractions: Basic Skills
The learner will be able to add, subtract, multiply, and divide fractions.
Strand Bloom's Scope Hours Source
Fractions Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 327.02a; ISAT
  
    Fractions: Understand/Apply
The learner will be able to understand and apply fractions.
Strand Bloom's Scope Hours Source
Fractions Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 347.01.a; 337.01.a ISAT
  

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: 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.
Strand Bloom's Scope Hours Source
Figures: Two-/Three-Dimensional Master ID: State Achievement Standards, 2001, Grade 8, 341.01.a
  
    Figures: Shape/Size/Spatial Relationship
The learner will be able to apply concepts of size, shape, and spatial relationships.
Strand Bloom's Scope Hours Source
Figures Master ID: State Achievement Standards, 2001, Grade 8, 331.01
  
    Right Triangles: Explore/Geometry
The learner will be able to explore the geometry of right triangles.
Strand Bloom's Scope Hours Source
Right Triangles Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 331.02; ISAT
  
    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.
Strand Bloom's Scope Hours Source
Figures: Two-/Three-Dimensional Application Master ID: State Achievement Standards, 2001, Grade 7, 331.01.a; ISAT
  
    Lines/Angles: Apply
The learner will be able to apply fundamental concepts, properties and relationships among points, lines, angles, and shapes.
Strand Bloom's Scope Hours Source
Lines/Angles/Polygons Application Master ID: State Achievement Standards, 2001, Grade 7, 331.01.c; ISAT
  
    Congruence: Apply/Characteristics
The learner will be able to recognize and apply characteristics of congruent figures.
Strand Bloom's Scope Hours Source
Congruence/Similarity/Symmetry Application Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 331.01.d; ISAT
  
    Similarity: Apply/Characteristics
The learner will be able to recognize and apply characteristics of similar figures.
Strand Bloom's Scope Hours Source
Congruence/Similarity/Symmetry Application Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 331.01.d; ISAT
  
    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).
Strand Bloom's Scope Hours Source
Transformations Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 331.01.g; ISAT
  
    Symmetry: Use/Property
The learner will be able to use the property of symmetry in figures.
Strand Bloom's Scope Hours Source
Symmetry Application Master 0.5 ID: State Achievement Standards, 2001, Grade 7, 331.01.d; ISAT
  
    Surface Area: Investigate
The learner will be able to investigate the concept of surface area.
Strand Bloom's Scope Hours Source
Spatial Relationships Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 331.01.f; ISAT
  
    Volume: Investigate
The learner will be able to investigate the concept of volume.
Strand Bloom's Scope Hours Source
Spatial Relationships Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 7, 331.01.f; ISAT
  
    Formulas: Use
The learner will be able to use formulas for perimeter, circumference and area of triangles, quadrilaterals, and circles.
Strand Bloom's Scope Hours Source
Two-Dimensional Shapes Application Master 1.5 ID: State Achievement Standards, 2001, Grade 7, 331.01.e; ISAT
  
    Instruments: Apply/Measure/Construct
The learner will be able to apply suitable instruments to construct and measure various angles and shapes.
Strand Bloom's Scope Hours Source
Instruments Application Master ID: State Achievement Standards, 2001, Grade 7, 331.01.b; ISAT
  
    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.
Strand Bloom's Scope Hours Source
Right Triangles Application Master 1.0 ID: State Achievement Standards, 2001, Grade 8, 341.02.a; 351.02.; ID: State Achievement Standards, 2001, Grade 351.02; ISAT
  
    Acute/Right/Obtuse Angles: Classify
The learner will be able to classify angles as being acute, obtuse, or right.
Strand Bloom's Scope Hours Source
Acute/Right/Obtuse Angles Analysis Master 1.0 ID: Direct Mathematics Assessment, 1999, Grade 8, Tested Week 14; 341.01.c;