Mathematics Grade 6

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.

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

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: 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;

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;

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

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

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

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;

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

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	Hours	Source
Units	Comprehension	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 319.04.a;

Units: Real World/Comprehend
The learner will be able to comprehend the relationship between units and real world applications.

Strand	Bloom's	Scope	Hours	Source
Units	Comprehension	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 319.04.a;

Units: Convert/Same System
The learner will be able to convert units within the same measurement system.

Strand	Bloom's	Scope	Hours	Source
Units	Synthesis	Master	1.5	ID: State Achievement Standards, 2001, Grade 6, 319.01.e;

Problem Solving: Estimate/Tools
The learner will be able to estimate measurement using measurement tools for real world and content problem scenarios.

Strand	Bloom's	Scope	Hours	Source
Problem Solving	Application	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 319.01.b;

Time: Relationships/Solve Problems
The learner will be able to apply knowledge of relationships to obtain real world problem solutions involving time.

Strand	Bloom's	Scope	Hours	Source
Time	Application	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 319.01.f;

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
Formulas	Application	Master	1.5	ID: State Achievement Standards, 2001, Grade 6, 321.01.e; ISAT

Measurement Relationships: Recognize
The learner will be able to recognize the differences and relationships between perimeter and area in the metric and U.S. Customary measurement systems.

Strand	Bloom's	Scope	Hours	Source
Measurement: Relationships	Knowledge	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 319.01.c;

Indirect Measure: Investigate
The learner will be able to investigate the use of rates to find indirect measurements.

Strand	Bloom's	Scope	Hours	Source
Direct/Indirect Measure	Analysis	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 319.02.a;

Indirect Measures: Rates
The learner will be able to develop the use of rates to formulate indirect measurements.

Strand	Bloom's	Scope	Hours	Source
Direct/Indirect Measure	Synthesis	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 319.02.a

The Number Theory Unit focuses on manipulating number forms and classifications. Students make connections between number forms and their real-world applications.

Proportions: Apply/Concepts
The learner will be able to investigate the concepts of proportions.

Strand	Bloom's	Scope	Hours	Source
Ratio/Proportion		Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 319.03;

Ratio: Apply
The learner will be able to investigate the concept of ratio.

Strand	Bloom's	Scope	Hours	Source
Ratio/Proportion		Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 319.03;

Ratio/Proportion/Scale: Investigate
The learner will be able to investigate the use of proportions, ratios, and scales.

Strand	Bloom's	Scope	Hours	Source
Ratio/Proportion	Application	Master		ID: State Achievement Standards, 2001, Grade 6, 319.03.a; ISAT

Number Theory: Develop/Apply/Concepts
The learner will be able to develop and apply the following number theory concepts: prime, composite, greatest common factor, lowest common multiple, and prime factorization.

Strand	Bloom's	Scope	Hours	Source
Number Theory		Master		ID: State Achievement Standards, 2001, Grade 6, 317.01.e;

Number Forms: Relationships
The learner will be able to comprehend the use of fractions and decimals and their interrelationship.

Strand	Bloom's	Scope	Hours	Source
Number Forms: Relationships		Master		ID: State Achievement Standards, 2001, Grade 6, 317.01.b

Read Numbers: Fractions
The learner will be able to read fractions.

Strand	Bloom's	Scope	Hours	Source
Read Numbers	Knowledge	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317.01.a

Read Numbers: Decimals
The learner will be able to read decimal numbers correctly.

Strand	Bloom's	Scope	Hours	Source
Read Numbers	Knowledge	Master	0.5	ID: State Achievement Standards, 2001, Grade 6, 317.01.a

Read Numbers: Whole Numbers
The learner will be able to read whole numbers over one billion.

Strand	Bloom's	Scope	Hours	Source
Read Numbers	Knowledge	Master	0.5	ID: State Achievement Standards, 2001, Grade 6, 317.01.a;

Write Numbers: Fractions
The learner will be able to write fractions.

Strand	Bloom's	Scope	Hours	Source
Write Numbers	Knowledge	Master	0.5	ID: State Achievement Standards, 2001, Grade 6, 317.01.a;

Write Numbers: Decimals
The learner will be able to write decimal numbers.

Strand	Bloom's	Scope	Hours	Source
Write Numbers	Knowledge	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317.01.a;

Number Forms: Apply/Notation
The learner will be able to apply mathematical notations appropriately.

Strand	Bloom's	Scope	Hours	Source
Number Forms	Application	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 318.04.c;

Vocabulary: Apply/Appropriate
The learner will be able to apply appropriate vocabulary.

Strand	Bloom's	Scope	Hours	Source
Vocabulary	Application	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317:2i,3d; 319.1g; 321.1h; 322:1c,5b; 323.1d;

Factors: Understand/Greatest Common
The learner will be able to understand greatest common factors.

Strand	Bloom's	Scope	Hours	Source
Factors	Comprehension	Master	0.5	317.1E

Multiples: Apply/Least Common
The learner will be able to apply the least common multiple.

Strand	Bloom's	Scope	Hours	Source
Multiples	Application	Master	0.5	317.1E

Multiples: Determine/Least Common
The learner will be able to determine the least common multiple of two or more numbers.

Strand	Bloom's	Scope	Hours	Source
Multiples	Application	Master	1.0	317.1E

Number Sense: Use/Understand
The learner will be able to understand and use numbers.

Strand	Bloom's	Scope	Hours	Source
Number Sense		Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317.01

Number Sense: Magnitudes
The learner will be able to show a sense of magnitudes and relative magnitudes of real numbers (whole numbers, fractions, decimals).

Strand	Bloom's	Scope	Hours	Source
Number Sense		Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317.01.d

Exponents: Explore
The learner will be able to explore exponents and when they are used.

Strand	Bloom's	Scope	Hours	Source
Exponential Notation	Analysis	Master	0.5	ID: State Achievement Standards, 2001, Grade 6, 317.02.f

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.

Strand	Bloom's	Scope	Hours	Source
Estimation		Master		ID: State Achievement Standards, 2001, Grade 6, 317.03;

*Computing
The learner will be able to correctly perform various computations.

Strand	Bloom's	Scope	Hours	Source
Computing/Estimating	Application	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317.02;

Numeration: Numbers/Comprehend
The learner will be able to comprehend numbers.

Strand	Bloom's	Scope	Hours	Source
Numeration		Master	0.5	ID: State Achievement Standards, 2001, Grade 6, 317.01

Numeration: Apply
The learner will be able to understand the use of numbers, i.e. counting,measurement, order labeling, etc.

Strand	Bloom's	Scope	Hours	Source
Numeration		Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317.01

Estimate: Decide/Justify/Reasonableness
The learner will be able to decide and justify the reasonableness of solutions.

Strand	Bloom's	Scope	Hours	Source
Estimation		Master		ID: State Achievement Standards, 2001, Grade 6, 317.03

Patterns: Problem Solving/Display
The learner will be able to display problems and obtain problem solutions through the applications of patterns and functions.

Strand	Bloom's	Scope	Hours	Source
Patterns: Problem Solving	Application	Master		ID: State Achievement Standards, 2001, Grade 6, 323.02.a;

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.

Strand	Bloom's	Scope	Hours	Source
Estimation	Application	Master		ID: State Achievement Standards, 2001, Grade 6, 317.03.b;

Patterns: Discover/Explain/Generalize
The learner will be able to discover, explain, and continue patterns by using manipulatives and pictorial illustrations.

Strand	Bloom's	Scope	Hours	Source
Patterns: Identify/Describe/Continue	Application	Master		ID: State Achievement Standards, 2001, Grade 6, 323.01.b;

Estimation: Results
The learner will be able to determine if an estimation is an underestimation or an overestimation.

Strand	Bloom's	Scope	Hours	Source
Estimation	Application	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317.03.c;

Computing/Estimating: Predict
The learner will be able to estimate in order to predict the results of computations.

Strand	Bloom's	Scope	Hours	Source
Computing/Estimating	Analysis	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317.03.a;

Magnitude: Understand
The learner will be able to understand the magnitudes and relative magnitudes of whole numbers, real numbers, fractions, and decimals.

Strand	Bloom's	Scope	Hours	Source
Magnitude	Comprehension	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317.01.d;

Estimate/Problems: Reasonableness
The learner will be able to estimate to predict the reasonableness of computation results.

Strand	Bloom's	Scope	Hours	Source
Estimate/Problems	Synthesis	Master	0.5	ID: State Achievement Standards, 2001, Grade 6, 317.03.a

The Probability/Statistics Unit focuses on data analysis and probability concepts. This unit includes collecting, analyzing, and making sense of real-world data (including overlapping data, inconclusive data, etc.).

Statistical Analysis: Apply
The learner will be able to apply simple statistical measurements.

Strand	Bloom's	Scope	Hours	Source
Statistical Analysis		Master		ID: State Achievement Standards, 2001, Grade 6, 322.03

Data Display: Interpret
The learner will be able to interpret the outcomes of displayed data shown in tables, charts, and graphs (line graphs, bar graphs, frequency lines or line plots, and circle graphs).

Strand	Bloom's	Scope	Hours	Source
Data Display	Analysis	Master	0.5	ID: State Achievement Standards, 2001, Grade 6, 322.01.a

Probability/Statistics: Understand Uses
The learner will be able to explain and justify conclusions drawn from tables, charts and graphs.

Strand	Bloom's	Scope	Hours	Source
Probability/Statistics	Application	Master	2.0	ID: State Achievement Standards, 2001, Grade 6, 322.01.b

Average: Determine
The learner will be able to determine the range of a given set of numbers.

Strand	Bloom's	Scope	Hours	Source
Average/Median/Mode/Range	Application	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 322.03.b

Data Analysis: Statistical Measurements
The learner will be able to apply simple statistical measurements.

Strand	Bloom's	Scope	Hours	Source
Average/Median/Mode/Range		Master	1.0	District Expectation(a)

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 understand a variety of problem solving strategies.

Strand	Bloom's	Scope	Hours	Source
Strategies		Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 318.01;

Solutions: Adapt/Solutions
The learner will be able to adapt previously used solutions to new problem situations.

Strand	Bloom's	Scope	Hours	Source
Solution	Application	Master		ID: State Achievement Standards, 2001, Grade 6, 318.02.b;

Strategies: Apply/4-Step Process
The learner will be able to apply the 4-step process (explore, plan, solve, and examine) in order to obtain problem solutions.

Strand	Bloom's	Scope	Hours	Source
Strategies	Application	Master		ID: State Achievement Standards, 2001, Grade 6, 318.01.b;

Strategies: Use
The learner will be able to use a variety of strategies to solve problems.

Strand	Bloom's	Scope	Hours	Source
Strategies	Application	Master	1.5	ID: State Achievement Standards, 2001, Grade 6, 318.01;

Strategies: Adapt
The learner will be able to adapt previously used problem solving strategies to new problems.

Strand	Bloom's	Scope	Hours	Source
Strategies	Application	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 318.02.b;

Strategies: Apply/Real World
The learner will be able to apply mathematical strategies in order to obtain solutions to problems in the real world.

Strand	Bloom's	Scope	Hours	Source
Strategies	Application	Master	2.0	ID: State Achievement Standards, 2001, Grade 6, 318.01.a;

Conjectures: Formulate
The learner will be able to formulate conjectures and discuss why they must be or seem to be true.

Strand	Bloom's	Scope	Hours	Source
Conjectures	Synthesis	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 318.02.c

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 graphing in two dimensions.

Strand	Bloom's	Scope	Hours	Source
Graphing		Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 321.02;

Coordinate Plane: Identify Points
The learner will be able to identify points on a coordinate plane.

Strand	Bloom's	Scope	Hours	Source
Coordinate Geometry	Knowledge	Master	0.5	ID: State Achievement Standards, 2001, Grade 6, 321.02.a'

Coordinate Plane: Plot Points
The learner will be able to plot points on a coordinate grid.

Strand	Bloom's	Scope	Hours	Source
Coordinate Geometry	Application	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 321.02.a;

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 investigate problems using technology.

Strand	Bloom's	Scope	Hours	Source
Problem Solving	Application	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 318.03;

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.

Strand	Bloom's	Scope	Hours	Source
Technology as a Tool	Application	Master		ID: State Achievement Standards, 2001, Grade 6, 318.03.a;

Computers: Display Data
The learner will be able to display and manipulate data using computer applications.

Strand	Bloom's	Scope	Hours	Source
Computers	Application	Master	1.0	District Expectation

The Whole Numbers Unit includes performing operations with whole numbers, using manipulatives to demonstrate whole number concepts, and solving problems with whole numbers in real-world contexts.

*Multiplication: Whole Numbers
The learner will be able to perform multiplication on whole numbers.

Strand	Bloom's	Scope	Hours	Source
Multiply Whole Numbers	Application	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317.02.a;

*Divide Whole Numbers
The learner will be able to perform division on whole numbers.

Strand	Bloom's	Scope	Hours	Source
Divide Whole Numbers	Application	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317.02.a;

*Compare Numbers: Whole Numbers
The learner will be able to compare whole numbers.

Strand	Bloom's	Scope	Hours	Source
Compare/Order	Analysis	Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317.01.a;

*Order: Whole Numbers
The learner will be able to order whole numbers.

Strand	Bloom's	Scope	Hours	Source
Compare/Order	Analysis	Master	0.5	ID: State Achievement Standards, 2001, Grade 6, 317.01.a;

*Operations: Writing
The learner will be able to write whole numbers.

Strand	Bloom's	Scope	Hours	Source
Operations	Application	Master	2.0	ID: State Achievement Standards, 2001, Grade 6, 317.01.a;

Computation
The learner will be able to perform computations accurately.

Strand	Bloom's	Scope	Hours	Source
Add Whole Numbers		Master	1.0	ID: State Achievement Standards, 2001, Grade 6, 317.02

Multiply/Divide: Twelves Table
The learner will be able to recollect multiplication and division facts through the twelves table.

Strand	Bloom's	Scope	Hours	Source
Multiply/Divide Whole Numbers	Knowledge	Master	1.5	ID: State Achievement Standards, 2001, Grade 6, 317.02.d;