Giles County Board of Education
GCBOE Math

Mathematics - Grade 6 First Six-weeks

Mathematics

The Terra Nova Complete Battery for Mathematics is "designed to help students show what they know and can do. Many questions call for critical thinking, reasoning, and problem solving. Questions allow students to use different strategies and to take individual paths to a solution. Real-world topics engage students' interest, and the extensive use of graphics reduces the need for explanatory text and provides a supportive context. Themes group items into meaningful configurations, and items are generally sequenced to promote initial success so that students will continue with confidence to more challenging questions.

The [Terra Nova] tests taps broad mathematical power, yet retains the specifics from the traditional curriculum. The first section of the test includes computation, computation in context, and estimation items, and is administered without calculators. The second section covers a broad range of core skills and may be administered with calculators. Some questions require the use of rulers, which are supplied with the testing materials." The Terra Nova Plus for Mathematics Computation "carefully targets measurement of computation skills to the appropriate grade level. Because each item is unique to a specific level, there is no overlap or repetitive testing. The problems in the test challenge students in different ways. Among fractions, for example, items deal with both like and unlike denominators, with horizontal and vertical formats, and with mixed fractions. Items that promote the use of mental math and that test estimation skills are also included. All these items encourage students to apply techniques thoughtfully rather than simply utilizing memorization or using stock formulas. The Terra Nova Mathematics Computation test answers the questions that many teachers ask: 'Have my students mastered all the fundamentals of computation?' and 'Do they apply those computation techniques that they have learned?'" The Tennessee Mathematics Framework for Kindergarten through Grade 8 was adopted by the State Board of Education on October 11, 1996. The framework includes four Process Standards:
    * Problem Solving
    * Communication
    * Reasoning
    * Connections
The four Process Standards are intended to be incorporated into five Content Standards:
    * Number Sense and Number Theory
    * Estimation, Measurement, and Computation
    * Patterns, Functions, and Algebraic Thinking
    * Statistics and Probability
    * Spatial Sense and Geometric Concepts


Number Theory

    Expanded Notation: Rational Numbers
The learner will be able to identify expanded notation for rational numbers.
Strand Bloom's Scope Hours Source
Expanded Notation Knowledge Introduce 0.5 Terra Nova, Complete Battery, 1997, Level 16, Item 14 week tested: 28.
  

Probability/Statistics

    Average / median / mode / range
The learner will be able to determine the mean, median, mode from a given one - or two - digit whole number problem.
Strand Bloom's Scope Hours Source
Measures of Central Tendency Application Introduce 1.0 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.36. TN: Gateway Test, 1999, Algebra I, State Level 1
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 1 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Probability/Statistics [Software]
  
    Data: Interpretation
The learner will be able to interpret given data.
Strand Bloom's Scope Hours Source
Data Comprehension Introduce 0.5 Terra Nova, Complete Battery, 1997, Level 16, Objective Statement #15 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 1 [Textbook]
  
    Data: Analyzing
The learner will be able to analyze data.
Strand Bloom's Scope Hours Source
Data Analysis Master 0.8 Terra Nova, Complete Battery, 1997, Level 16, Objective Statement #15 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 1 [Textbook]
  
    Data Analysis: Inferences
The learner will be able to gather information and develop inferences based on the analysis of this information.
Strand Bloom's Scope Hours Source
Data Analysis Master 0.5 Terra Nova, Complete Battery, 1997, Level 16, Item 23 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 1 [Textbook]
  
    Data Analysis: Real World Applications
The learner will be able to apply data analysis concepts in real world scenarios.
Strand Bloom's Scope Hours Source
Data Analysis Application Master 1.0 Terra Nova, Complete Battery, 1997, Level 16, Objective Statement #15 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 1 [Textbook]
  
    Data: Evaluate
The learner will be able to evaluate bias, accuracy, and validity of data in real-world situations.
Strand Bloom's Scope Hours Source
Data Master 0.5 Terra Nova, Complete Battery, 1997, Level 16, Objective Statement #15 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 1 [Textbook]
  

Data Interpretation

    Graphing: Problem Solving
The learner will be able to create, interpret, and/or apply many different types of graphical forms of data to formulate answers to questions and/or obtain problem solutions.
Strand Bloom's Scope Hours Source
Graphing Master 1.0 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.36: Terra Nova, Complete Battery, 1997, Level 16, Item 18 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 1 [Textbook]
  
    Evaluate Graphical Forms: Select Display
The learner will be able to choose the most suitable form and/or method of data display.
Strand Bloom's Scope Hours Source
Analyzing/Evaluating Graphical Forms Analysis Master 1.0 Terra Nova, Complete Battery, 1997, Level 16, Item 24, 46 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 1 [Textbook]
  
    Bar Graphs: Read
The learner will be able to read bar, circle and line graphs.
Strand Bloom's Scope Hours Source
Bar Graphs Comprehension Master 1.0 Terra Nova, Complete Battery, 1997, Level 16, Item 17 week tested: 28. TN: Gateway Test, 1999, Algebra I, State Level 1
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 1 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Data Interpretation [Software]
  

Functions

    Functions: Identify
The learner will be able to recognize functions (and/or patterns) in statistical data.
Strand Bloom's Scope Hours Source
Functions/Relations Application Introduce 1.0 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35. TN: Gateway Test, 1999, Algebra I, State Level 1
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 1 [Textbook]
  

Whole Numbers

    Multiplication
The learner will be able to perform multiplication on whole numbers (with and/or without regrouping).
Strand Bloom's Scope Hours Source
Divide Whole Numbers Application Master 0.5 Terra Nova, Plus Edition (Complete Battery), 1997, Level 16, Objective Statement #45, Item 5, 6, 10, 15 week tested: 28
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Multiply/Divide Whole Numbers [Software]
  
    Divide Whole Numbers
The learner will be able to perform division on whole numbers (where a remainder may or may not exist).
Strand Bloom's Scope Hours Source
Add/Subtract Whole Numbers Application Master 0.5 Terra Nova, Plus Edition (Complete Battery), 1997, Level 16, Objective Statement #46, Item 8, 14, 16, 18 week tested: 28
  
    Add Whole Numbers
The learner will be able to perform addition on whole numbers ( with and/or without regrouping).
Strand Bloom's Scope Hours Source
Add Whole Numbers Comprehension, Application Reinforce 0.5 Terra Nova, Plus Edition (Complete Battery), 1997, Level 16, Objective Statement #43, Item 1 week tested: 28
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Data Interpretation [Software]
  

Functions

    Functions: Language/Symbols
The learner will be able to apply mathematical language and/or symbols in making descriptions of patterns and to make representations of functional relationships.
Strand Bloom's Scope Hours Source
Functions/Relations Application Introduce 0.5 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35. TN: Gateway Test, 1999, Algebra I, State Level 1
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 (Textbook) [Textbook]
  
    Functions: Problem Solving
The learner will be able to apply functions and/or patterns in the representation and/or solving of problems.
Strand Bloom's Scope Hours Source
Problem Solving Application Introduce 0.5 Terra Nova, Complete Battery, 1997, Level 16, Item 15 week tested: 28..; TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35. TN: Gateway Test, 1999, Algebra I, State Level 1
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
  

Algebraic Concepts

    Operations: Estimation
The learner will be able to approximate solutions that may involve addition and/or subtraction of frequently used fractions and decimals (through thousandths), multiplication and division of these same numbers, and make comparisons between the approximations and actual solutions using manipulatives and technology as necessary.
Strand Bloom's Scope Hours Source
Operations Master 1.0 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.34
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
  
    Order of Operations
The learner will be able to apply the order of operation rules in solving problems with many steps.
Strand Bloom's Scope Hours Source
Order of Operations Master 1.0 Terra Nova, Plus Edition (Complete Battery), 1997, Level 16, Objective Statement #51, Item 19 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Decimals [Software]
  
    Operations: Problem Solving
The learner will be able to use the procedures of operations to obtain problem solutions.
Strand Bloom's Scope Hours Source
Operations Application Master 1.5 Terra Nova, Complete Battery, 1997, Level 16, Objective Statement #12 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
  
    Operations: Properties/Relationships
The learner will be able to display comprehension of the properties and/or relationships of operations.
Strand Bloom's Scope Hours Source
Operations Master 1.0 Terra Nova, Complete Battery, 1997, Level 16, Objective Statement #12 week tested: 28. TN: Gateway Test, 1999, Algebra I, State Level 1
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
  
    Operations: Operation Sense
The learner will be able to develop an understanding of operations and their effects.
Strand Bloom's Scope Hours Source
Operations Master 1.0 Terra Nova, Complete Battery, 1997, Level 16, Item 10, 42 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
  
    Problem Solving: Algebraic Models
The learner will be able to solve real-world problem situations by using algebraic models.
Strand Bloom's Scope Hours Source
Problem Solving Introduce 0.5 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.36. TN: Gateway Test, 1999, Algebra I, State Level 1
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
  
    Solving
The learner will be able to model and solve simple linear equations using concrete, informal and formal strategies.
Strand Bloom's Scope Hours Source
Linear Equations Introduce 0.5 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.36. TN: Gateway Test, 1999, Algebra I, State Level 1
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Real Numbers and the Coordinate Plane [Software]
  
    Computation: Proficiency
The learner will be able to exhibit proficiency when performing computational procedures.
Strand Bloom's Scope Hours Source
Computation Application Master 1.0 Terra Nova, Complete Battery, 1997, Level 16, Objective Statement #11 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
  
    Expressions: Explore/ Evaluate
The learner will be able to explore and evaluate algebraic expressions using mental calculations, pencil and paper and calculators where appropriate.
Strand Bloom's Scope Hours Source
Expressions Application, Evaluation Master 0.5 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.36. TN: Gateway Test, 1999, Algebra I, State Level 1
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Expressions/Equations [Software]
  
    Variable
The learner will be able to understand the basic concept of a variable as representing an unknown quantity.
Strand Bloom's Scope Hours Source
Variable Comprehension Master 1.0 Terra Nova, Complete Battery, 1997, Level 16, Objective Statement #16 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
  
    Variable/Expression/Equation
The learner will be able to comprehend the concepts of variable, expression, and equation.
Strand Bloom's Scope Hours Source
Variable Comprehension Master 1.0 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
  

Numeration

    Number Uses
The learner will be able to demonstrate an understanding that numbers are used for counting, measuring, ordering, and estimating.
Strand Bloom's Scope Hours Source
Numeration Master 0.5 Terra Nova, Complete Battery, 1997, Level 16, Objective Statement #10 week tested: 28.
  
    Patterns: Relationships
The learner will be able to apply patterns and relationships in the evaluation of various scenarios.
Strand Bloom's Scope Hours Source
Patterns: Relationships Master 0.5 Terra Nova, Complete Battery, 1997, Level 16, Objective Statement #17 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
  
    Patterns: Geometric/Understand
The learner will be able to understand and/or apply geometric patterns.
Strand Bloom's Scope Hours Source
Patterns: Geometric Application Introduce 1.0 Terra Nova, Complete Battery, 1997, Level 16, Item 38, 49 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Number Sentences [Software]
  
    Patterns: Describe/Analyze/Extend
The learner will be able to make, study, continue, and/or describe many different patterns.
Strand Bloom's Scope Hours Source
Patterns: Identify/Describe/Continue Comprehension, Application Introduce 1.0 Terra Nova, Complete Battery, 1997, Level 16, Objective Statement #16 week tested: 28..; TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
  
    Pattern: Represent
The learner will be able to represent patterns with manipulatives.
Strand Bloom's Scope Hours Source
Patterns: Represent Comprehension Master 1.0 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
  
    Pattern: Problem Solving
The learner will be able to solve problems using number patterns.
Strand Bloom's Scope Hours Source
Patterns: Number Application Master 1.0 Terra Nova, Complete Battery, 1997, Level 16, Item 36 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 1, Chapter 2 [Textbook]
  

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