Rhea County Schools
Rhea County Curriculum

Mathematics - TN: Pre-Calculus

Mathematics

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

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

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

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 Algebra I is the Tennessee End-of-course test that must be passed before graduation to earn a high school diploma.

TN: Pre-Calculus

The Tennessee Mathematics Framework for grades 9 through 12 outlines skills to be taught in Pre-Calculus.


Algebraic Concepts

    Inequalities: Solve/Technology
The learner will be able to obtain solutions to inequalities applying an appropriate technology.
Strand Bloom's Scope Hours Source
Inequalities Application Master 4.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 0.5,7.4 [Textbook]
  

Calculus and Pre-Calculus

    Conic Sections: Equations/Graphs
The learner will be able to use equations and graphs of conic sections to represent real-world phenomena.
Strand Bloom's Scope Hours Source
Conic Sections Application Master 8.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 46
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 10.1-10.4 [Textbook]
  
    Complex Numbers: Trig Form
The learner will be able to apply the trigonometric form of complex numbers.
Strand Bloom's Scope Hours Source
Complex Numbers Application Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 6.5 [Textbook]
  
    Complex Numbers: DeMoivre's Theorem
The learner will be able to determine powers and roots of complex numbers by using DeMoivre's theorem.
Strand Bloom's Scope Hours Source
Complex Numbers Application Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 6.5 [Textbook]
  
    Complex Numbers: DeMoivre's/Prove
The learner will be able to prove DeMoivre's theorem.
Strand Bloom's Scope Hours Source
Complex Numbers Synthesis Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 6.5 [Textbook]
  
    Limit: Function
The learner will be able to present the idea of a limit of a function.
Strand Bloom's Scope Hours Source
Limits Comprehension Master 1.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, The instructor will supplement [Textbook]
  
    Limits: Continuity
The learner will be able to use limits to build on the concept of continuity.
Strand Bloom's Scope Hours Source
Limits Application Master 1.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, The instructor will supplement [Textbook]
  
    Limits: Function/Slope
The learner will be able to use the limit of a function to determine the slope of a line tangent to a curve.
Strand Bloom's Scope Hours Source
Limits Application Master 1.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, The instructor will supplement [Textbook]
  
    Vectors: Understand
The learner will be able to understand vectors in real-world problem solving.
Strand Bloom's Scope Hours Source
Vectors Comprehension Master 4.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 6.3,6.4 [Textbook]
  
    Vectors: Real World Problems
The learner will be able to solve real world problems using vectors.
Strand Bloom's Scope Hours Source
Vectors Application Master 4.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 6.3,6.4 [Textbook]
  

Functions

    Functions: Analyze
The learner will be able to analyze a function by decomposing it into simpler functions.
Strand Bloom's Scope Hours Source
Functions/Relations Master 14.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 2.1-2.7 [Textbook]
  
    Trig. Functions: Solve/Inverse
The learner will be able to solve for the values of inverse trigonometric functions and apply appropriate domain and range restrictions.
Strand Bloom's Scope Hours Source
Trigonometric Functions Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 4.7 [Textbook]
  
    Functions: Identify/Use
The learner will be able to identify and use mathematical representations of linear, quadratic, exponential, logarithmic, and trigonometric functions.
Strand Bloom's Scope Hours Source
Functions Master 30.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 1.3-1.7,2.1-2.7,3.1-3.5,4.1-4.8 [Textbook]
- Pre-Calculus, Houghton Mifflin, Fourth, 5.1-5.5,6.1-6.7 [Textbook]
  
    Functions: Odd-Even/Identify
The learner will be able to identify odd and even functions.
Strand Bloom's Scope Hours Source
Functions/Relations Knowledge Master 1.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 1.4 [Textbook]
  
    Trig./Circular Functions: Graph
The learner will be able to sketch graphs of the six trigonometric functions involving period change, amplitude change, phase shift, and/or vertical shift.
Strand Bloom's Scope Hours Source
Circular Functions Application Master 4.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 4.5,4.6 [Textbook]
  
    Circular Functions: Define
The learner will be able to give definitions of six circular functions.
Strand Bloom's Scope Hours Source
Circular Functions Comprehension Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 4.2 [Textbook]
  
    Exponential/Logarithmic Functions: Graph
The learner will be able to graph both exponential and logarithmic functions.
Strand Bloom's Scope Hours Source
Exponential/Logarithmic Functions Application Master 4.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 3.1,3.2 [Textbook]
  
    Exponential/Logarithmic: Relationships
The learner will be able to identify a logarithmic as the inverse of an exponential function.
Strand Bloom's Scope Hours Source
Exponential/Logarithmic Functions Knowledge Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 3.2 [Textbook]
  
    Exponential/Logarithmic: Applying
The learner will be able to apply the inverse relationship of exponential and logarithmic functions.
Strand Bloom's Scope Hours Source
Exponential/Logarithmic Functions Application Master 8.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 3.1-3.5 [Textbook]
  
    Exponential/Logarithmic: Solve
The learner will be able to obtain solutions to exponential and logarithmic equations representing real-world problems.
Strand Bloom's Scope Hours Source
Exponential/Logarithmic Functions Application Master 4.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 3.4-3.5 [Textbook]
  
    Trig. Functions: Model
The learner will be able to apply the trigonometric functions to model periodic phenomena.
Strand Bloom's Scope Hours Source
Trigonometric Functions Application Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 4.8 [Textbook]
  
    Graph Function: Sketch/Basic
The learner will be able to sketch graphs of the basic functions.
Strand Bloom's Scope Hours Source
Graphing Functions Application Master 22.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 1.3-1.6,2.1,2.2,2.7,3.1,3.2,4.5,4.6 [Textbook]
  
    Graphing: Transformations
The learner will be able to create graphs of transformations and combinations of transformations for all the basic functions.
Strand Bloom's Scope Hours Source
Graphing Functions Application Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 1.5,4.5,4.6 [Textbook]
  
    Rational Functions: Equation
The learner will be able to find an equation of a rational function using a written description.
Strand Bloom's Scope Hours Source
Rational Functions Application Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 2.7 [Textbook]
  
    Functions: Interpret
The learner will be able to interpret functions.
Strand Bloom's Scope Hours Source
Functions Analysis Master 17.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 1.3-1.6,2.1-2.3,2.7,3.1,3.2,3.4,3.5,4.2,4.4-4.8 [Textbook]
  

Measurement

    Area of a Triangle: Devise/Use
The learner will be able to devise and use formulas for the area of a triangle.
Strand Bloom's Scope Hours Source
Area of a Triangle Synthesis Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 6.2 [Textbook]
  

Numeration

    Series: Sigma Notation
The learner will be able to show a series in correct sigma notation.
Strand Bloom's Scope Hours Source
Sequences/Series Knowledge Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 9.1 [Textbook]
  
    Series: Sum of Infinite Geometric
The learner will be able to determine the sum of an infinite geometric series.
Strand Bloom's Scope Hours Source
Sequences/Series Comprehension Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 9.3 [Textbook]
  
    Series: Sum/Converge
The learner will be able to determine the sum of an infinite series that converge.
Strand Bloom's Scope Hours Source
Sequences/Series Application Master 4.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 9.2,9.3 [Textbook]
  
    Sequences: Illustrate Understanding
The learner will be able to illustrate an understanding of sequences by representing them recursively and explicitly.
Strand Bloom's Scope Hours Source
Sequences/Series Application Master 4.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 9.1,9.2 [Textbook]
  
    Series: Converge/Diverge
The learner will be able to determine whether a given series converges or diverges.
Strand Bloom's Scope Hours Source
Sequences/Series Application Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 9.2,9.3 [Textbook]
  

Probability/Statistics

    Predictions: Conclusions
The learner will be able to apply models when suitable to draw conclusions or formulate predictions.
Strand Bloom's Scope Hours Source
Predictions Analysis Master TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 0.1-10.9 [Textbook]
  
    Data Analysis: Model
The learner will be able to use strategies of data analysis to model real-world phenomena.
Strand Bloom's Scope Hours Source
Data Analysis Analysis Master TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 0.1-10.9 [Textbook]
  
    Correlation: Coefficient
The learner will be able to apply scatterplot residuals, and/or correlation coefficients to identify whether a model is appropriate.
Strand Bloom's Scope Hours Source
Correlation/Deviation/Variance Application Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, The instructor will supplement [Textbook]
  

Problem Solving

    Investigations: Individual/Groups
The learner will be able to explore problems individually or in cooperative groups.
Strand Bloom's Scope Hours Source
Investigations Master TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 0.1-10.9 [Textbook]
  

Technology

    Problem Solving: Technology
The learner will be able to appropriately use technology to solve problems.
Strand Bloom's Scope Hours Source
Problem Solving Master TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 44
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 0.1-10.9 [Textbook]
  

Trigonometry

    Trig. Equations/Inequal.: Solve
The learner will be able to solve trigonometric equations and inequalities algebraically or with automatic grapher.
Strand Bloom's Scope Hours Source
Trigonometric Equations Master 6.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 5.3-5.5 [Textbook]
  
    Problem Solving: Triangle/Vector
The learner will be able to derive the Law of Sines and Cosines and use them to obtain solutions to problems involving triangles and vectors.
Strand Bloom's Scope Hours Source
Problem Solving Master 8.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 6.1-6.4 [Textbook]
  
    Trig. Identities: Develop/Confirm
The learner will be able to develop and confirm trigonometric identities using graphs.
Strand Bloom's Scope Hours Source
Trigonometric Identities Analysis Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 5.2 [Textbook]
  
    Circle: Formula
The learner will be able to devise and use formulas for the sector of a circle.
Strand Bloom's Scope Hours Source
Circles Synthesis Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, The instructor will supplement [Textbook]
  
    Angle Measure: Degree/Radian
The learner will be able to comprehend the relationship between measure in radians and degrees.
Strand Bloom's Scope Hours Source
Radians/Angles Comprehension Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 4.1 [Textbook]
  
    Radian: Linear/Angular Velocity
The learner will be able to use radian measures in problems associated with linear and angular velocity.
Strand Bloom's Scope Hours Source
Radians/Angles Application Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 4.1 [Textbook]
  
    Polar Form: Convert/Complex Numbers
The learner will be able to convert complex numbers between polar and rectangular form.
Strand Bloom's Scope Hours Source
Polar Forms/Equations/Graphs Knowledge Master 2.0 TN: Curriculum Framework (9-12), January 30, 1998, Pre-Calculus, p. 45
Instructional Resources
- Pre-Calculus, Houghton Mifflin, Fourth, 6.5 [Textbook]
  

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