mvsd
Math Curriculum 01/12/03

Mathematics - Grade 6

Mathematics

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

Grade 6

The Idaho State Achievement Standards for Mathematics provides skills for sixth 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
The learner will be able to solve algebraic equations and inequalities.
Strand Bloom's Scope Hours Source
Solve Equations Application Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 320.03
  
    Algebraic Expressions
The learner will be able to evaluate algebraic expressions.
Strand Bloom's Scope Hours Source
Absolute Value Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 320.02
  
    Problem Solving: Technology
The learner will be able to apply appropriate technology and models to find solutions to problems.
Strand Bloom's Scope Hours Source
Problem Solving Master ID: State Achievement Standards, 2001, Grade 6, 318.03
  
    Rates: Derived Measures/Use
The learner will be able to investigate the concept of derived measurements.
Strand Bloom's Scope Hours Source
Rates Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 319.02;
  
    Algebraic Concepts: Symbolism/Apply
The learner will be able to identify algebraic symbolism as a tool to represent mathematical relationships.
Strand Bloom's Scope Hours Source
Algebraic Concepts Master 0.3 ID: State Achievement Standards, 2001, Grade 6, 320.01;
  
    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 6, 317.02.h
  
    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 0.3 ID: State Achievement Standards, 2001, Grade 6, 317.02.e;
  
    Order of Operations: Investigate
The learner will be able to investigate the order of operations.
Strand Bloom's Scope Hours Source
Order of Operations Analysis Master 0.3 ID: State Achievement Standards, 2001, Grade 6, 320.02.b;
  
    Expressions: Evaluate
The learner will be able to identify algebraic expressions.
Strand Bloom's Scope Hours Source
Expressions Comprehension, Application Master 0.3 ID: State Achievement Standards, 2001, Grade 6, 320.02;
  
    Exponents: Explore
The learner will be able to investigate exponents.
Strand Bloom's Scope Hours Source
Exponents Analysis Master 0.7 ID: State Achievement Standards, 2001, Grade 6, 317.02.f;
  
    Inverse Operations: Solve/One-Step
The learner will be able to investigate inverse operations with whole numbers to solve one-step equations.
Strand Bloom's Scope Hours Source
Inverse Operations Application Master 0.8 ID: State Achievement Standards, 2001, Grade 6, 320.03.a;
  
    Solve Equations: Algebraic
The learner will be able to solve solutions to one step algebraic equations.
Strand Bloom's Scope Hours Source
Solve Equations Application Master 0.7 ID: State Achievement Standards, 2001, Grade 6, 320.03; ISAT
  
    Expressions: Evaluate/Numerical
The learner will be able to evaluate numerical expressions using the order of operations.
Strand Bloom's Scope Hours Source
Expressions Application Master 1.5 ID: State Achievement Standards, 2001, Grade 6, 317.02.e
  
    Computation: Choose/Tool
The learner will be able to choose suitable tools for computation (mental math, paper and pencil, calculator, or combination of the three).
Strand Bloom's Scope Hours Source
Computation Application Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 317.02.h
  
    Properties: Addition/Commutative
The learner will be able to identify the application or illustration of the commutative property in evaluating algebraic expressions.
Strand Bloom's Scope Hours Source
Properties Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 320.02.a
  
    Properties: Addition/Associative
The learner will be able to use the associative property to evaluate mathematical expressions.
Strand Bloom's Scope Hours Source
Properties Application Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 320.02.a
  
    Properties: Additive Identity/Understand
The learner will be able to illustrate an understanding of the additive identity property (the zero property of addition) when evaluating mathematical expressions.
Strand Bloom's Scope Hours Source
Properties Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 320.02.a
  
    Properties: Addition/Zero and One
The learner will be able to use the addition properties of zero to evaluate mathematical expressions.
Strand Bloom's Scope Hours Source
Properties Application Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 320.02.a
  
    Properties: Additive Inverse
The learner will be able to apply the additive inverse property when evaluating mathematical expressions.
Strand Bloom's Scope Hours Source
Properties Application Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 320.02.a
  
    Properties: Apply/Distributive
The learner will be able to apply the distributive property in evaluating mathematical expressions.
Strand Bloom's Scope Hours Source
Properties Application Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 320.02.a
  
    Algebraic Concepts: Explore
The learner will be able to explore algebraic ideas as they apply to one and two variable data.
Strand Bloom's Scope Hours Source
Algebraic Concepts Analysis Master 1.0 District Expectation
  
    Order of Operations: Apply
The learner will be able to explore the order of operations.
Strand Bloom's Scope Hours Source
Order of Operations Application Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 320.02.b
  
    Inverse Operations: Solve/One-Step
The learner will be able to use inverse operations to solve one-step equations with whole numbers.
Strand Bloom's Scope Hours Source
Inverse Operations Application Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 320.03.a
  
    Variable: Expression/Equation
The learner will be able to explore the meaning and use of variables in simple expressions and equations.
Strand Bloom's Scope Hours Source
Variable Application Master 2.0 ID: State Achievement Standards, 2001, Grade 6, 320/01.a
  
    Problem Solving: Subtract/Real World
The learner will be able to apply physical materials to solve real world subtraction problems applying one unknown.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 District Expectation
  
    Story Problems
The learner will be able to translate simple word statements and story problems into algebraic equations.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 320.01.b
  
    Symbols: Apply/Equality/Inequality
The learner will be able to apply the equality and inequality symbols.
Strand Bloom's Scope Hours Source
Symbols Application Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 320.01.c
  

Data Interpretation
The Data Interpretation Unit includes Competencies/Objectives which focus on the study and use of graphical forms. The Data Interpretation Unit includes data collection and classification, organization and display of data, logical reasoning and problem solving.

    Data Classification: Organization
The learner will be able to collect, organize and display data.
Strand Bloom's Scope Hours Source
Data Collection and Classification Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 322.02
  

Data Analysis/Probability/Statistics

    Data Analysis: Understand
The learner will be able to understand data analysis.
Strand Bloom's Scope Hours Source
Data Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 322.01.a
  
    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 6, 322.04;
  
    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 6, 322.03'
  
    Range: Calculate/Data
The learner will be able to calculate the range of a set of data.
Strand Bloom's Scope Hours Source
Average/Median/Mode/Range Application Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 322.03.b;
  
    Data: Decisions/Make
The learner will be able to determine decisions and make predictions based upon data.
Strand Bloom's Scope Hours Source
Data Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 322.05;
  
    Predictions: Probability Experiments
The learner will be able to formulate predictions from probability experiments.
Strand Bloom's Scope Hours Source
Predictions Analysis Master 1.5 ID: State Achievement Standards, 2001, Grade 6, 322.04.a, 322.05.a; 318.01.c
  
    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 6, 322.04.b;
  
    Measures of Central Tendency: Determine
The learner will be able to determine measures of central tendency (mean, median, mode) for elementary data sets.
Strand Bloom's Scope Hours Source
Measures of Central Tendency Application Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 322.03.a;
  
    Experiments: Record Results
The learner will be able to record the results of probability experiments.
Strand Bloom's Scope Hours Source
Experiments Knowledge Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 322.04.a;
  
    Experiments: Carry-Out
The learner will be able to carry-out basic probability experiments.
Strand Bloom's Scope Hours Source
Experiments Application Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 322.04.a;
  
    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 Application Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 322.02.a;
  
    Tables: Interpret
The learner will be able to make interpretations of tables.
Strand Bloom's Scope Hours Source
Tables/Charts Analysis Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 322.01.a;
  
    Charts: Interpret
The learner will be able to interpret information presented in a chart.
Strand Bloom's Scope Hours Source
Tables/Charts Analysis Master 0.3 ID: State Achievement Standards, 2001, Grade 6, 322.01.a;
  
    Graphs: Interpret
The learner will be able to interpret information presented in graphs.
Strand Bloom's Scope Hours Source
Graphing Analysis Master 0.3 ID: State Achievement Standards, 2001, Grade 6, 322.01.a;
  
    Data Collection
The learner will be able to collect data.
Strand Bloom's Scope Hours Source
Data Collection and Classification Comprehension Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 322.02, 322.02.a
  
    Data Collection: Organize
The learner will be able to organize data.
Strand Bloom's Scope Hours Source
Data Collection and Classification Application Master 0.3 ID: State Achievement Standards, 2001, Grade 6, 322.02, 322.02.a;
  

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: Basic Operations
The learner will be able to perform the four basic operations with decimals.
Strand Bloom's Scope Hours Source
Decimals Application Master ID: State Achievement Standards, 2001, Grade 6, 317.02.b;
  
    Decimals: Order
The learner will be able to order and compare decimal numbers.
Strand Bloom's Scope Hours Source
Decimals Application Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 317.01.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.

    Add/Subtract: Unlike Denominators
The learner will be able to perform the addition and subtraction of fractions with unlike denominators and simplify results when necessary.
Strand Bloom's Scope Hours Source
Add/Subtract Fractions Application Master 0.7 ID: State Achievement Standards, 2001, Grade 6, 317.02.c;
  
    Compare Fractions
The learner will be able to compare fractions including mixed numbers.
Strand Bloom's Scope Hours Source
Compare Fractions Analysis Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 317.01.a;
  
    Exploring: Multiplication/Division
The learner will be able to explore the multiplication and division of fractions.
Strand Bloom's Scope Hours Source
Exploring Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 317.02.g;
  
    Ordering Fractions
The learner will be able to order fractions including mixed numbers.
Strand Bloom's Scope Hours Source
Ordering Analysis Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 317.01.a;
  
    Fractions: Simplify/GCF
The learner will be able to utilize the greatest common factor to simplify fractions.
Strand Bloom's Scope Hours Source
Fractions Application Master 1.0 ISAT
  

Functions
The Functions Unit includes exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions.

    Problem Solving: Apply/Functions
The learner will be able to understand the concept of functions through the exploration of patterns, numbers, decimals, and fractions.
Strand Bloom's Scope Hours Source
Problem Solving Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 323.01; a, b, c, d
  

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: Use/Shape
The learner will be able to use the concept of shape.
Strand Bloom's Scope Hours Source
Figures Master 0.3 ID: State Achievement Standards, 2001, Grade 6, 321.01; ISAT
  
    Spatial Relationships: Concept/Use
The learner will be able to investigate the concept of relationships among points, lines, angles, and shapes.
Strand Bloom's Scope Hours Source
Spatial Relationships Master 0.3 ID: State Achievement Standards, 2001, Grade 6, 321.01; ISAT
  
    Transformations: Explore
The learner will be able to use figures to explore flips, turns, and slides.
Strand Bloom's Scope Hours Source
Transformations Application Master ID: State Achievement Standards, 2001, Grade 6, 321.01.g; 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 6, 321.01.c ; ISAT
  
    Figures: Relationships/Investigate
The learner will be able to investigate the relationship between plane and solid objects.
Strand Bloom's Scope Hours Source
Figures: Relationships Analysis Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 321.01.f; ISAT
  
    Congruence: Apply/Characteristics
The learner will be able to apply characteristics of congruent figures.
Strand Bloom's Scope Hours Source
Congruence/Similarity/Symmetry Application Master 0.3 ID: State Achievement Standards, 2001, Grade 6, 321.01.d; ISAT
  
    Similarity: Apply/Characteristics
The learner will be able to apply characteristics of similar figures.
Strand Bloom's Scope Hours Source
Congruence/Similarity/Symmetry Application Master 0.3 ID: State Achievement Standards, 2001, Grade 6, 321.01.d; 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 0.3 ID: State Achievement Standards, 2001, Grade 6, 321.01.d;
  
    Similarity: Similar Figure
The learner will be able to identify similar figures.
Strand Bloom's Scope Hours Source
Similarity Knowledge Master 0.3 ID: State Achievement Standards, 2001, Grade 6, 321.01.d; ISAT
  
    Congruence: Identify
The learner will be able to recognize congruent figures.
Strand Bloom's Scope Hours Source
Congruence Knowledge Master 0.3 ID: State Achievement Standards, 2001, Grade 6, 321.01.d; ISAT
  
    Relationships: Perimeter/Area
The learner will be able to recognize the differences and relationships between perimeter and area in both U.S. between and metric measurements.
Strand Bloom's Scope Hours Source
Relationships Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 319.01.c
  
    Constructions: Measurements
The learner will be able to construct and measure various angles and shapes using appropriate tools.
Strand Bloom's Scope Hours Source
Constructions Synthesis Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 321.01.b
  
    Figures: Two/Three-Dimension/Describe
The learner will be able to precisely describe, classify, and understand relationships among types of one, two, and three dimensional objects using their defining properties.
Strand Bloom's Scope Hours Source
Figures: Two-/Three-Dimensional Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 321.01.a
  

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.

    Exploring: Real World
The learner will be able to investigate the use of integers in the real world.
Strand Bloom's Scope Hours Source
Exploring Analysis Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 317.01.f;
  

Mathematics Processes
The Mathematics Processes Unit focuses on mathematical connections, communication, modeling, concepts and procedures.

    Communication: Results/Apply Terminology
The learner will be able to communicate results applying suitable terminology.
Strand Bloom's Scope Hours Source
Communication Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 318.04;
  
    Reasoning: Problems/Identify
The learner will be able to identify problems by applying reasoning skills.
Strand Bloom's Scope Hours Source
Communication Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 318.02;
  
    Mathematical Reasoning: Explain
The learner will be able to apply many different methods to describe mathematical reasoning such as words, numbers, symbols, graphical forms, and/or models.
Strand Bloom's Scope Hours Source
Reasoning Application Master ID: State Achievement Standards, 2001, Grade 6, 318.02.a, 318.04.a;
  
    Math Concepts: Choose/Models
The learner will be able to choose appropriate models to represent math concepts.
Strand Bloom's Scope Hours Source
Mathematical Concepts Application Master 0.3 ID: State Achievement Standards, 2001, Grade 6, 318.03.c;
  
    Relationships: Describe/Mathematical
The learner will be able to describe simple relationships involving mathematical concepts.
Strand Bloom's Scope Hours Source
Relationships Comprehension Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 318.02.a;
  
    Communicate: State/Ideas/Mathematical
The learner will be able to state mathematical ideas clearly using mathematical language.
Strand Bloom's Scope Hours Source
Communication Comprehension Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 318.04.b;
  
    Modeling: Problem Solving
The learner will be able to use appropriate models to obtain problem solutions.
Strand Bloom's Scope Hours Source
Mathematical Modeling Application Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 318.03
  
    Modeling: Illustrate/Change
The learner will be able to use models to illustrate change in real world contexts.
Strand Bloom's Scope Hours Source
Mathematical Modeling Application Master 0.5 ID: State Achievement Standards, 2001, Grade 6, 323.01.c
  
    Computation: Decimals/Fractions
The learner will be able to expand the use of decimals and fractions to explore the use of percents and ratios.
Strand Bloom's Scope Hours Source
Computation Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 317.01.c; ISAT
  

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.

    Units: Apply/Customary/Metric
The learner will be able to apply both customary and metric units of measurement.
Strand Bloom's Scope Hours Source
Units Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 319.01;
  
    Measurement Analysis: Dimensional
The learner will be able to apply dimensional analysis techniques.
Strand Bloom's Scope Hours Source
Measurement: Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 319.04;
  
    Problem Solving: Measure
The learner will be able to obtain solutions to problems involving the measures of time,length, perimeter, area, weight, mass, and temperature.
Strand Bloom's Scope Hours Source
Problem Solving Application Master ID: State Achievement Standards, 2001, Grade 6, 319.01.d;
  
    Tools/Instruments: Choose/Apply
The learner will be able to choose and apply suitable units and tools for measure in both the U.S. Customary and metric measurement system.
Strand Bloom's Scope Hours Source
Tools/Instruments Application Master ID: State Achievement Standards, 2001, Grade 6, 319.01.a;
  
    Instruments: Apply/Measure/Construct
The learner will be able to apply suitable instruments to construct and measure several angles and shapes.
Strand Bloom's Scope Hours Source
Tools/Instruments Application Master ID: State Achievement Standards, 2001, Grade 6, 321.01.b;
  
    Units: Comprehend
The learner will be able to comprehend units.
Strand Bloom's Scope Hours Source
Units Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 6, 319.04.a;
  
    Units: Relationships/Comprehend
The learner will be able to comprehend the relationships between units.
Strand Bloom's Scope