Giles County Board of Education
GCBOE Math

Mathematics - Grade 8 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


Data Interpretation

    Bar Graphs: Interpret/Real World
The learner will be able to read and make interpretations of bar graphs that illustrate real world data.
Strand Bloom's Scope Hours Source
Bar Graphs Evaluation Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 4,State Level 1 Terra Nova, Complete Battery, 1997, Level 18, Item 15 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 1 [Textbook]
  
    Circle Graphs: Interpret/Real World
The learner will be able to make interpretations of circle graphs that illustrate real world data.
Strand Bloom's Scope Hours Source
Circle Graphs Evaluation Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 4,State Level 1
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 1 [Textbook]
  
    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 Application Master 0.5 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.36 Terra Nova, Complete Battery, 1997, Level 18, Item 16 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 1 [Textbook]
  
    Graphs: Restructure Data Display
The learner will be able to restructure a data display for various reasons.
Strand Bloom's Scope Hours Source
Analyzing/Evaluating Graphical Forms Application Master 0.5 Terra Nova, Complete Battery, 1997, Level 18, Item 28 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, 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 18, Item 17, 41, 46 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 1 [Textbook]
  

Probability/Statistics

    Data Analysis
The learner will be able to make inferences and develop strong arguments with a basis on data analysis by drawing conclusions and gathering data.
Strand Bloom's Scope Hours Source
Data Analysis Comprehension, Application Master 1.0 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.36 TN: Gateway Test, 1999, Algebra I.;
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 1 [Textbook]
  
    Data: Describe/Evaluate
The learner will be able to describe and/or evaluate data.
Strand Bloom's Scope Hours Source
Data Comprehension, Application Reinforce 0.5 Terra Nova, Complete Battery, 1997, Level 18, Item 40 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, 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 Comprehension, Application Reinforce 0.3 Terra Nova, Complete Battery, 1997, Level 18, Objective Statement #15 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 1 [Textbook]
  
    Sampling: Concepts
The learner will be able to develop an intuitive sense of the concepts of sampling and recognize its role in statistical claims.
Strand Bloom's Scope Hours Source
Sampling Comprehension Master 0.5 Terra Nova, Complete Battery, 1997, Level 18, Item 36 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 1 [Textbook]
  
    Statistics: Application
The learner will be able to understand concepts, processes, and properties of statistics.
Strand Bloom's Scope Hours Source
Statistics Application Master 0.5 Terra Nova, Complete Battery, 1997, Level 18, Item 32 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 1 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Probability/Statistics [Software]
  

Problem Solving

    Solution: Reasonableness
The learner will be able to evaluate the reasonableness of a given solution.
Strand Bloom's Scope Hours Source
Solution Evaluation Reinforce 1.0 Terra Nova, Complete Battery, 1997, Level 18, Objective Statement #11, Item 55 week tested: 28..; TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35.; TN: Gateway Test, 1999, Algebra I, Std. 2,2.1, 2.8
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 1 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Problem Solving [Software]
  
    Strategies: Applying
The learner will be able to solve routine and non-routine problems using a variety of strategies, such as usage of drawings, diagrams, and organized lists, models and "act out", spatial visualization, logical thinking, estimation, patterns, and the guess and check strategy.
Strand Bloom's Scope Hours Source
Strategies Application Master 0.5 Terra Nova, Complete Battery, 1997, Level 18, Objective Statement #17 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
  

Algebraic Concepts

    Linear Equations: Solve/Integers
The learner will be able to apply integers to obtain solutions to one- and two-step linear equations including real world problems.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,State Level 1 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.36 Terra Nova, Complete Battery, 1997, Level 18, Item 18 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
  
    Laws of Exponents
The learner will be able to understand and apply the laws of exponents when appropriate.
Strand Bloom's Scope Hours Source
Exponents Application Reinforce 0.3 Terra Nova, Complete Battery, 1997, Level 18, Item 22 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, 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 Application Master 0.3 Terra Nova, Complete Battery, 1997, Level 18, Objective Statement #12 week tested: 28. TN: Gateway Test, 1999, Algebra I.;
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
  
    Expressions: Evaluating
The learner will be able to evaluate expressions.
Strand Bloom's Scope Hours Source
Expressions Evaluation Reinforce 0.5 Terra Nova, Complete Battery, 1997, Level 18, Item 23 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Expressions/Equations [Software]
  
    Expressions: Simplify
The learner will be able to simplify algebraic expressions.
Strand Bloom's Scope Hours Source
Expressions Comprehension Reinforce 0.5 Terra Nova, Plus Edition (Complete Battery), 1997, Level 18, Item 20 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Expressions/Equations [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 Reinforce 0.5 Terra Nova, Complete Battery, 1997, Level 18, Objective Statement #12 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
  
    Algebraic Concepts: Representations
The learner will be able to identify algebraic illustrations of problem scenarios.
Strand Bloom's Scope Hours Source
Algebraic Concepts Knowledge Reinforce 0.5 Terra Nova, Complete Battery, 1997, Level 18, Objective Statement #16 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
  
    Algebraic Concepts: Procedures
The learner will be able to understand algebraic procedures.
Strand Bloom's Scope Hours Source
Algebraic Concepts Comprehension Reinforce 1.0 Terra Nova, Complete Battery, 1997, Level 18, Objective Statement #16 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
  
    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 Reinforce 1.0 Terra Nova, Complete Battery, 1997, Level 18, Objective Statement #16 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
  

Integers

    Integers: Connect/Real World
The learner will be able to connect various real world scenarios to integers.
Strand Bloom's Scope Hours Source
Integers Analysis Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 1,Teacher Level 1
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
  
    Addition/Subtraction Integers
The learner will be able to add, subtract, multiply and divide integer numbers.
Strand Bloom's Scope Hours Source
Add/Subtract Integers Knowledge, Evaluation Reinforce 2.0 Terra Nova, Plus Edition (Complete Battery), 1997, Level 18, Objective Statement #49, Item 9, 11, 3, 18 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Integers [Software]
  
    Operations: Order/Use
The learner will be able to use the order of operations when completing computations with integers that apply no more than two sets of grouping symbols and exponents 1 and 2.
Strand Bloom's Scope Hours Source
Operations Application Introduce 0.5 TN: Gateway Test, 1999, Algebra I, Std. 2,State Level 1
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
  

Number Theory

    Read Numbers
The learner will be able to read and/or identify numbers.
Strand Bloom's Scope Hours Source
Read Numbers Knowledge Reinforce 0.5 Terra Nova, Complete Battery, 1997, Level 18, Item 27 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Numeration [Software]
  
    Equivalent Forms: Understanding
The learner will be able to know that equivalent forms of the same number allow it to be represented in a variety of ways.
Strand Bloom's Scope Hours Source
Equivalent Forms Comprehension Master 0.5 Terra Nova, Complete Battery, 1997, Level 18, Item 49 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
  

Numeration

    Computing
The learner will be able to correctly perform various computations.
Strand Bloom's Scope Hours Source
Computing/Estimating Application Reinforce 1.0 Terra Nova, Complete Battery, 1997, Level 18, Item 1-3 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
  
    Computing: In Context
The learner will be able to perform computations in the context of given problems.
Strand Bloom's Scope Hours Source
Computing/Estimating Application Reinforce 1.0 Terra Nova, Complete Battery, 1997, Level 18, Item 4-7 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 2 [Textbook]
  

Algebraic Concepts

    Problem Solving: Algebraic Operations
The learner will be able to obtain solutions to computational problems that may include exponents, roots, absolute value, algebraic expressions and/or equations.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 0.5 Terra Nova, Plus Edition (Complete Battery), 1997, Level 18, Objective Statement #52, Item 14 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 3 [Textbook]
  
    Computation: Proficiency/Real World
The learner will be able to exhibit proficiency when performing computational procedures that find solutions to real world problems.
Strand Bloom's Scope Hours Source
Computation Application Reinforce 1.0 Terra Nova, Complete Battery, 1997, Level 18, Objective Statement #11 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 3 [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 Master 1.0 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.36. TN: Gateway Test, 1999, Algebra I.;
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 3 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Expressions/Equations [Software]
  

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