LOGAN-ROGERSVILLE R-VIII MATHEMATICS CURRICULUM

Math Analysis

Course Rationale

Math Analysis is a preparatory course for the student entering secondary education. Math Analysis will prepare the successful student for the Calculus series and any technical courses he/she might choose as well. The course provides the college bound student with the necessary skills to move on in his/her education. In the changing society of the new century, job opportunities available will require more education than in the past and this course will provide the student with enough mathematical skill to choose any field of study he/she chooses to be an effective candidate for employment in any field and to be a good addition to society.

Course Description

This course is designed to study the theories and applications of trigonometry, analytical geometry, probability, statistics, matrices and vectors, conics, exponential and logarithmic problem solving, and an introduction to calculus.

Revised COMPETENCIES 2/28/03

A. Equations of First Order or Higher.

1. The student will be able to solve equations by means of factoring.
2. The student will be able to solve equations by the use of the Rational Root Theorem.
3. The student will be able to solve equations using technology such as a calculator or computer.

B. Equations - Conic Sections, Trigonometric Functions, Inequalities and Polynomials.

4. The student shall be able to find roots of higher order equations.

5. The student shall be able to find local and absolute maxima and minima.

6. The student shall be able to translate systems of equations.

7. The student shall be able to interpret the inequalities and adjust graphing techniques accordingly.

8. The student shall be able to find domain and range of equations, inequalities and functions.

C. Trigonometric Functions.

9. The student will be able to use, prove and apply the trigonometric identities.

10. The student will be able to translate trigonometric functions from one to another.

11. The student will be able to solve triangle problems with the trigonometric functions and their identities.

12. The student will be able to solve trigonometric equations with analytical techniques and technology.

D. Number Systems.

13. The student shall demonstrate knowledge of complex and real numbers.

14. The student shall be able to find domain and range for equations and functions.

15. The student will demonstrate knowledge of infinite and finite series.

E. Statistics

16. The student shall be able to find mean, median and mode and other measures of central tendencies.

17. The student shall be able to find and interpret probabilities.

F. Exponential Systems.

18. The student will be able to demonstrate graphical knowledge of exponential systems.

19. The student will be able to find solutions to exponential equations and inequalities.

20. The student will be able to show and use the relationship between the logarithmic and exponential functions.

Grade and/or class: Math Analysis

Date of Last Revision: 2002-2003

Writer: Brett Wubbena

A. Equations of First Order or Higher

District Skill Competency 1. The student will be able to solve equations by means of factoring.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
V. a.	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practicing solving equations by means of factoring.	Individually students will be able to factor all kinds of polynomials.	70%	MA1	1.1, 3.3

District Skill Competency 2. The student will be able to solve equations by the use of the Rational Root Theorem.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
V. a.	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice solving equations by the use of the Rational Root Theorem	Individually students will use the Rational Root Theorem to solve problems.	70%	MA1	1.2, 1.6

District Skill Competency 3. The student will be able to solve equations using technology such as a calculator or computer.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
V. c.	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice solving equations using technology such as a calculator or computer.	Individually students will enter problems into technology to solve for an answer.	60%	MA1	1.4, 1.8, 2.7

B. Equations – Conic Sections, Trigonometric Functions, Inequalities, and Polynomials

District Skill Competency 4. The student will be able to find roots of higher order equations.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
IX. c	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice finding the roots of higher order equations.	Individually students will find all the roots of higher order equations.	70%	MA5	1.2, 1.6

District Skill Competency 5. The student will be able to find local and absolute maxima and minima.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
IX, b	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice finding local and absolute maxima and minima.	Individually students will find the local and absolute maxima and minima.	60%	MA5	1.1, 1.8

District Skill Competency 6. The student will be able to translate systems of equations.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
IX. a.	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice translating systems of equations.	Individually students will translate systems of equations.	70%	MA5	1.2, 1.6, 3.6

District Skill Competency 7. The student will be able to interpret the inequalities and adjust graphing techniques accordingly.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
IX. b.	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice interpreting the inequalities and adjusting graphing techniques accordingly.	Individually students will correctly graph inequalities.	60%	MA5	1.4, 1.5, 1.6, 2.7

District Skill Competency 8. The student will be able to find domain and range of equations, inequalities and functions.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
IX. b.	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice finding domain and range of equations, inequalities and functions.	Individually students will find domain and range of all kinds of equations.	60%	MA5	1.1, 1.6

C. Trigonometric Functions

District Skill Competency 9. The student will be able to use, prove, and apply the trigonometric identities.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
VIII. i.	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice using, proving, and applying the trigonometric identities.	Individually students will use, prove, and apply trigonometric identities.	70%	MA4	1.2, 1.4, 1.5, 1.8

District Skill Competency 10. The student will be able to translate trigonometric functions from one to another.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
VIII. i.	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice translating trigonometric functions from one to another.	Individually students will decide which trigonometric function to use and translate from one to another.	70%	MA4	1.1, 1.2, 1.6

District Skill Competency 11. The student will be able to solve triangle problems with the trigonometric functions and their identities.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
II.g. VI.e. IV.c.	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice solving triangle problems with the trigonometric functions and their identities.	Individually students will use trigonometric functions and identities when dealing with right triangles.	70%	MA2	1.2, 1.4, 1.5, 1.8

District Skill Competency 12 The student will be able to solve trigonometric equations with analytical techniques and technology.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
VIII. I	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice using technology to solve trigonometric equations.	Individually students will use technology to solve trigonometric equations.	70%	MA4	1.2, 1.3, 1.4, 1.6

D. Number Systems

District Skill Competency 13. The student will be able to compare and contrast complex and real numbers.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
V. a.	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice comparing and contrasting complex and real numbers.	Individually students will compare and contrast complex and real numbers.	70%	MA1	1.2, 1.6

District Skill Competency 14. The student will be able to find domain and range for equations and functions.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
IX	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice finding the domain and range for equations and functions.	Individually student will find the domain and range of equations.	70%	MA5	1.2, 1.6, 3.6

District Skill Competency 15. The student will be able to evaluate and appropriately use infinite and finite series.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
X. a. X. b. X. d.	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice using infinite and finite series.	Individually students will know how to evaluate and appropriately use infinite and finite series.	60%	MA6	1.2, 1.6

E. Statistics

District Skill Competency 16. The student will be able to find mean, median, and mode and other measures of central tendencies.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
IV. c. VII. c. VII. d. VII. k.	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice finding mean, median, and mode and other measures of central tendencies.	Individually students will use measures of central tendencies and relate their importance.	80%	MA3	1.1, 1.3, 3.3

District Skill Competency 17. The student will be able to find and interpret probabilities.
Frameworks Addressed	Activities	Assessments	Mastery	Content Standards	Performance Standards
VII. c. VII. d. VII. k	Through classroom instruction, teacher modeling, worksheets and homework assignments, students will practice finding and interpreting probabilities.