Giles County Board of Education
GCBOE Math

Mathematics - Grade 8 Fifth 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


Numeration

    Inverse Variation: Describe
The learner will be able to describe the relationship of inverse variation.
Strand Bloom's Scope Hours Source
Variations Comprehension Reinforce 0.5 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 8 [Textbook]
  

Geometry

    Reasoning: Spatial
The learner will be able to use spatial reasoning skills.
Strand Bloom's Scope Hours Source
Reasoning Application Master 1.5 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 8 [Textbook]
  
    Transformation: Problem Solving
The learner will be able to solve problems using transformations.
Strand Bloom's Scope Hours Source
Transformations Application Master 1.0 Terra Nova, Complete Battery, 1997, Level 18, Item 25 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 8 [Textbook]
  

Algebraic Concepts

    Rates: Develop/Describe
The learner will be able to formulate and/or relate the idea of rate and/or other derived and non-direct measures.
Strand Bloom's Scope Hours Source
Rates Application Master 0.2 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35. TN: Gateway Test, 1999, Algebra I.;
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
  
    Solution Tools: Analysis
The learner will be able to analyze which solution tool would best solve a problem: estimation, calculator, pencil and paper, mental math, or computer.
Strand Bloom's Scope Hours Source
Solution Methods Analysis 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 3, Chapter 9 [Textbook]
  

Geometry

    Transformations: Apply/Explain
The learner will be able to use and/or relate the changes of elementary transformations on geometric shapes.
Strand Bloom's Scope Hours Source
Transformations Application Reinforce 0.4 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.37
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
  
    Geometric Models: Represent/Problem
The learner will be able to represent problem situations with geometric models.
Strand Bloom's Scope Hours Source
Geometric Models Comprehension Reinforce 1.0 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.37
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
  
    Geometric Concepts: Understanding
The learner will be able to display comprehension of spatial relationships and geometry through the visualization and recognition of various objects (2D and 3D), by sorting different shapes, identifying symmetry, applying transformations and formulas, and through the evaluation of the characteristics of various figures.
Strand Bloom's Scope Hours Source
Geometric Concepts Application Reinforce 0.3 Terra Nova, Complete Battery, 1997, Level 18, Objective Statement #14 week tested: 28. TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p. 37. TN: Gateway Test, 1999, Algebra I.;
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
  
    Planes/Points/Lines: Apply Concepts
The learner will be able to apply the ideas of planes, points, and/or lines in one, two, and/or three dimensions.
Strand Bloom's Scope Hours Source
Planes/Points/Lines Application Reinforce 0.3 Terra Nova, Complete Battery, 1997, Level 18, Item 19 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
  
    Spatial Thinking: Visualization
The learner will be able to visualize and describe the outcome of folding geometric figures a variety of ways.
Strand Bloom's Scope Hours Source
Spatial Thinking Synthesis Master 0.5 Terra Nova, Complete Battery, 1997, Level 18, Item 26, 44 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
  
    Spatial Thinking: Apply Concepts
The learner will be able to use suitable concepts and procedures of spatial reasoning/understanding.
Strand Bloom's Scope Hours Source
Spatial Thinking Application Master 0.5 Terra Nova, Complete Battery, 1997, Level 18, Item 26, 44 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
  
    Circles: Circumference
The learner will be able to understand the concept of circumference of a circle.
Strand Bloom's Scope Hours Source
Circles Comprehension, Application Reinforce 0.4 Terra Nova, Complete Battery, 1997, Level 18, Item 45 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Geometry [Software]
  

Measurement

    Formulas
The learner will be able to apply formulas in solving problems involving perimeter, circumference, area, volume, surface area, distance, and/or Celsius/Fahrenheit.
Strand Bloom's Scope Hours Source
Formulas Application Reinforce 0.4 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35 TN: Gateway Test, 1999, Algebra I.;
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
  
    Formulas: Applying
The learner will be able to use many different measurement formulas.
Strand Bloom's Scope Hours Source
Formulas Comprehension Reinforce 0.4 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
  
    Measurement Concepts: Demonstrate
The learner will be able to show an understanding and/or relate the meaning of characteristics of length, capacity, density, weight, mass, perimeter, area, volume, time, temperature, and/or angle.
Strand Bloom's Scope Hours Source
Measurement Concepts Application Reinforce 0.4 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
  
    Problem Solving: Strategies
The learner will be able to relate and/or discuss methods for solving measurement problems (estimation).
Strand Bloom's Scope Hours Source
Problem Solving Application, Analysis Reinforce 0.5 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35 TN: Gateway Test, 1999, Algebra I.;
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
  
    Units
The learner will be able to choose suitable customary and metric units and instruments for measuring to a chosen degree of accuracy.
Strand Bloom's Scope Hours Source
Units Comprehension, Application Reinforce 0.2 Terra Nova, Complete Battery, 1997, Level 18, Item 20 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
  
    Accuracy: Appropriate Instrument/Unit
The learner will be able to choose the appropriate tools and units of measurement necessary to find accurate measurements given a specific situation.
Strand Bloom's Scope Hours Source
Accuracy Comprehension, Application Reinforce 0.2 Terra Nova, Complete Battery, 1997, Level 18, Objective Statement #13 week tested: 28. TN: Gateway Test, 1999, Algebra I.;
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Measurement [Software]
  
    Scale Maps: Interpret
The learner will be able to interpret scale maps.
Strand Bloom's Scope Hours Source
Scale Drawings Application Master 2.0 Terra Nova, Complete Battery, 1997, Level 18, Item 30, 33 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Number Sentences [Software]
  
    Units of Measurement: Scale
The learner will be able to understand the concept of scale in relation to a ratio in regards to a scale drawing.
Strand Bloom's Scope Hours Source
Scale Drawings Comprehension Master 0.3 Terra Nova, Complete Battery, 1997, Level 18, Item 30, 33 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Number Sentences [Software]
  
    Scale Models: 2- and 3-Dimensions
The learner will be able to construct two- and three-dimensional scale models of common objects.
Strand Bloom's Scope Hours Source
Scale Drawings Comprehension, Application Reinforce 0.5 Terra Nova, Complete Battery, 1997, Level 18, Item 30, 33 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 9 [Textbook]
  

Problem Solving

    Necessary Information
The learner will be able to identify the information needed to solve a problem.
Strand Bloom's Scope Hours Source
Irrelevant/Necessary Information Analysis Reinforce 1.0 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 9 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Problem Solving [Software]
  

Functions

    Functions: Patterns/Real World
The learner will be able to explain in writing the pattern for real world information entered in a function table.
Strand Bloom's Scope Hours Source
Functions Comprehension Master 0.5 TN: Gateway Test, 1999, Algebra I, Std. 3,Teacher Level 1
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 10 [Textbook]
  
    Functional Relationships: Analyze
The learner will be able to analyze functional relationships to describe how a change in one quantity results in a change in another.
Strand Bloom's Scope Hours Source
Functional Relationships Analysis Master 0.6 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 10 [Textbook]
  
    Functions: Identify
The learner will be able to recognize functions (and/or patterns) in statistical data.
Strand Bloom's Scope Hours Source
Functions/Relations Knowledge, Evaluation Master 0.5 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 10 [Textbook]
  
    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 Master 0.5 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.35
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 10 [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 Master 0.5 Terra Nova, Complete Battery, 1997, Level 18, Item 31 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 3, Chapter 10 [Textbook]
  
    Functional Relationships: Comprehend
The learner will be able to display comprehension of functional relationships.
Strand Bloom's Scope Hours Source
Functional Relationships Comprehension Master 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 10 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Number Theory [Software]
  

Mathematics Processes

    Modeling: Problem Situations
The learner will be able to model problem scenarios.
Strand Bloom's Scope Hours Source
Mathematical Modeling Application Master 1.5 Terra Nova, Complete Battery, 1997, Level 18, Item 29 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 11 [Textbook]
  

Probability/Statistics

    Experiments: Designing
The learner will be able to create and carry out appropriate experiments to find the probability of a given event or to prove or disprove the probability of a given event.
Strand Bloom's Scope Hours Source
Experiments Comprehension, Application Master 0.4 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.36
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 11 [Textbook]
  
    Experiments: Models
The learner will be able to represent situations through the completion of experiments or by creating a sample space to find probabilities.
Strand Bloom's Scope Hours Source
Experiments Comprehension, Application Master 0.5 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.36
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 11 [Textbook]
  
    Theoretical Probability: Sample Space
The learner will be able to create a sample space to discover theoretical probabilities.
Strand Bloom's Scope Hours Source
Theoretical Probability Application Master 1.5 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.36
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 11 [Textbook]
  
    Probability/Statistics: Application
The learner will be able to interpret a real-world problem situation and solve it using probability and statistics concepts.
Strand Bloom's Scope Hours Source
Probability/Statistics Comprehension, Application Master 0.5 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 11 [Textbook]
  
    Probability
The learner will be able to identify the probability of a given situation.
Strand Bloom's Scope Hours Source
Probability Knowledge, Comprehension Master 1.0 Terra Nova, Complete Battery, 1997, Level 18, Item 48 week tested: 28.
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 11 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Probability/Statistics [Software]
  
    Probability: Conjectures
The learner will be able to formulate conjectures that have a basis in theoretical or experimental probability.
Strand Bloom's Scope Hours Source
Probability Comprehension, Application Master 0.5 TN: Curriculum Framework (K-8), October 11, 1996, Grade 6 - 8, p.36
Instructional Resources
- Middle Grades Math / Tools for Success, Prentice Hall, Course 3, Chapter 11 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Probability/Statistics [Software]
  
    Range: Describing Data
The learner will be able to understand the concept of range, mode, mean, and median and use this concept correctly as a means of describing a set of data.
Strand Bloom's Scope Hours Source
Average/Median/Mode/Range Comprehension, Application Reinforce 0.8 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 11 [Textbook]
Assessment Resources
- Skills Connection, EdVISION Corporation, Version 2.0, Probability/Statistics [Software]
  

Problem Solving

    Represent Problems: Connections
The learner will be able to make connections between mathematical representations and their corresponding problem scenarios.
Strand Bloom's Scope Hours Source
Represent Problems Comprehension, Application, Analysis Master 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 11 [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 Application, Evaluation Reinforce 0.6 Terra Nova, Complete Battery, 1997, Level 18, Objective Statement #10 week tested: 28.
  

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