LOGAN-ROGERSVILLE R-VIII MATHEMATICS CURRICULUM

Pre-Calculus

Rationale

Mathematics allows a common-ground communication between the observable world and prediction and explanation. Pre-Calculus provides the necessary mathematic foundations for the study of higher mathematics. As technology and the knowledge base continue to grow, our experience with higher mathematics will also need to grow in order to keep up with the world around us.

Course Description

Major topics to be studied in the class will be trigonometry and the beginnings of Calculus I and Calculus II. While not a substitution for, students that complete this class successfully should be able to enter college Trigonometry or Calculus classes with more than ample understanding of the subject.

Competencies

1. Students will construct simple lines and equations in rectangular coordinates.
2. Students will solve problems involving functions and their inverses.
3. Students will use the six (6) trigonometric functions to solve right triangle problems.
4. Students will use the concepts of the unit circle to solve right triangle problems.
5. Students will use the trigonometric identities to solve triangle and circle problems.
6. Students will solve trigonometric equations.
7. Students will solve exponential and logarithmic problems.
8. Students will calculate rates of change.
9. Students will solve problems involving limits.
10. Students will find derivatives of functions.
11. Students will solve real world problems with the use of derivatives.
12. Students will use concepts of derivatives to find maximum and minimum values.
13. Students will calculate definite integrals.
14. Students will use integrals to solve problems in area and volume.
15. Students will use technology and simple programming to solve calculus and trigonometric problems.

Grade and/or class: Pre-Calculus

Date of Last Revision: 2002-2003

Writer: Brandon Kovach

District Skill Competency 1. Students will construct simple lines and equations in rectangular coordinates.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
VIII. e	Through lecture, group work, and homework, students will construct simple lines and equations in rectangular coordinates.	Individually students will construct simple lines and equations in rectangular coordinates.	70%	M4	3.3

District Skill Competency 2. Students will solve problems involving functions and their inverses.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
V.b V.c.	Through group work, lab, and homework students will solve problems involving functions and their inverses.	Individually students will solve problems involving functions and their inverses.	70%	MA1 MA1	1.6, 3.3

District Skill Competency 3. Students will use the six (6) trigonometric functions to solve right triangle problems.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
VI. b	Through group work, homework, and teacher modeling, students will use the six (6) trigonometric functions to solve right triangle problems.	Individually students will use the six (6) trigonometric functions to solve right triangle problems.	70%	MA2	3.1

District Skill Competency 4. Students will use the concepts of the unit circle to solve right triangle problems.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
VI. d.	Through group work, homework, and teacher modeling, students will use the concepts of the unit circle to solve right triangle problems.	Individually students will use the concepts of the unit circle to solve right triangle problems.	70%	M2	3.6

District Skill Competency 5. Students will use the trigonometric identities to solve triangle and circle problems.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
VIII. h.	Through lecture, group work, homework, class discussion, and teacher modeling, students will use the trigonometric identities to solve triangle and circle problems.	Individually students will use the trigonometric identities to solve triangle and circle problems.	70%	M4	3.6

District Skill Competency 6. Students will solve trigonometric equations.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
V. c.	Through lecture, group work, homework, class discussion and teacher modeling, students will solve trigonometric equations.	Individually students will solve trigonometric equations.	70%	M1	3.6

District Skill Competency 7. Students will solve exponential and logarithmic problems.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
IX. d.	Through group work, lab, homework, and teacher modeling, students will solve exponential and logarithmic problems.	Individually students will solve exponential and logarithmic problems.	70%	M5	3.6

District Skill Competency 8. Students will calculate rates of change.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
VIII. b.	Through lecture, lab, class discussion, and teacher modeling, students will calculate rates of change.	Individually students will calculate rates of change.	70%	M4	1.6

District Skill Competency 9. Students will solve problems involving limits.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
VI. k VII. l. VIII. b. VIII. g.	Through lecture, homework, worksheets, and teacher modeling, students will solve problems involving limits.	Individually students will solve problems involving limits.	70%	M2 M3 M4	1.6, 1.8, 3.2

District Skill Competency 10. Students will find derivatives of functions.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
VII. b.	Through lecture, lab, homework, worksheets and teacher modeling, students will find derivatives of functions.	Individually students will find derivatives of functions.	70%	M3	1.4

District Skill Competency 11. Students will solve real world problems with the use of derivatives.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
VII. j.	Through lecture, lab, and class discussion, students will solve real world problems with the use of derivatives.	Individually students will solve real world problems with the use of derivatives.	70%	M3	3.4

District Skill Competency 12. Students will use concepts of derivatives to find maximum and minimum values.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
VI. j. VII. k.	Through lecture, homework, class discussion, and teacher modeling, students will use concepts of derivatives to find maximum and minimum values.	Individually students will use concepts of derivatives to find maximum and minimum values.	70%	M2 M3	2.1 3.6

District Skill Competency 13. Students will calculate definite integrals.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
VI. a	Through lecture, class discussion, worksheets, and teacher modeling, students will calculate definite integrals.	Individually students will calculate definite integrals.	70%	M2	1.6

District Skill Competency 14. Students will use integrals to solve problems in area and volume.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
VI. i	Through lecture, group work, lab, and homework, students will use integrals to solve problems in area and volume.	Individually students will use integrals to solve problems in area and volume.	70%	M2	3.3

District Skill Competency 15. Students will use technology and simple programming to solve calculus and trigonometric problems.
Frameworks Addressed	Activities	Assessment	Mastery	Content Standard	Performance Standard
IX. b	Through lecture, group work, lab, class discussion, and teacher modeling, students will use technology and simple programming to solve calculus and trigonometric problems.	Individually students will use technology and simple programming to solve calculus and trigonometric problems.	70%	M5	1.4