LOGAN-ROGERSVILLE R-VIII MATHEMATICS CURRICULUM

ALGEBRA II

COURSE RATIONALE

Algebra II teaches skills that help students develop intellectual, social, and emotional well-being and allows students to analyze and solve everyday problems. Algebra II will prepare students for their future educational requirements in math and science. As productive members of society, students will have to be able to think creatively and logically. Algebra II will help students develop these skills as they learn to communicate their thoughts to others.

COURSE DESCRIPTION

The objectives of this course are to review skills in fundamental operations of algebra and study linear and quadratic equations, relations exponential and logarithmic functions, conics, and functions, matrices, and determinants.

Competencies

I. Problem Solving – The student will be able to

1. solve linear equations

2. solve inequalities

3. perform basic operations with polynomials

4. solve equations with radicals and exponents

5. use Various methods to solve a system of equations

6. solve logarithmic and trigonometric equations

II. Communication – The student will be able to

7. translate words into mathematical symbols

8. describe a function

III. Reasoning – The student will be able to

9. provide algebraic reasoning or justification for results.

IV. Connections – The student will be able to

10. write and use a variety of equations including lines, circles, parabolas, hyperbolas, ellipses.

V. Number Sense – The student will be able to

11. test an answer for reasonableness

VI. Geometric and Spatial – The student will be able to

12. use trigonometry functions to solve any triangle

13. graph various conic sections including lines, circles, parabolas, hyperbolas, ellipses, third degree equations, exponential functions, logarithmic functions.

VII. Data Analysis and Probability – The student will be able to

14. use slope and y-intercepts to analyze the relationship between lines

15. gather and analyze data in relationship to the situation being studied

VIII. Patterns and Relationships – The student will be able to

16. apply specific patterns associated with special triangles

17. analyze and find missing information in sequences and series

IX. Number Sense – The student will be able to

18. perform the four operation with complex numbers

19. evaluate logarithms including usage of a calculator

X. Discrete Mathematics – The student will be able to

20. solve and graph absolute value open sentences

Grade and/or class: Algebra II

Date of Last Revision: 2002-2003

Writer: Brett Wubbena

District Skill Competency: 1. Solve linear equations.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
V. c	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will solve linear equations.	Individually students will be able to solve all kinds of equations.	MA1	1.1, 1.6

District Skill Competency: 2. Solve inequalities.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
V. c VIII. d	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will solve inequalities.	Individual students will be able to solve all kinds of inequalities.	MA1	1.1, 1.6, 3.3

District Skill Competency: 3. Perform basic operations with polynomials.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
VI. j	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will perform basic operations with polynomials.	Students will be able to perform basic operations with polynomials.	MA5	1.4, 1.6, 2.7

District Skill Competency: 4. Solve equations with radicals and exponents.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
IX. b	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will solve equations with radicals and exponents.	Students will be able to solve equations with radicals and exponents.	MA5	1.4, 1.6, 2.7

District Skill Competency: 5. Use various methods to solve a system of equations.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
II. f	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will use various methods to solve a system of equations.	The students will be able to use various methods to solve a system of equations.	MA5	1.8, 2.7, 3.6

District Skill Competency: 6. Solve logarithmic and trigonometric equations.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
VIII. i	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will solve logarithmic and trigonometric equations.	The students will be able to solve logarithmic and trigonometric equations.	MA4	1.1, 1.6

District Skill Competency: 7. Translate words into mathematical symbols.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
I. c VIII. c	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will translate words into mathematical symbols.	The student will be able to translate words into math symbols.	MA1	1.10, 3.4

District Skill Competency: 8. Describe a function.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
II. a	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will describe a function.	The student will be able to describe a function.	MA5	1.5, 1.6

District Skill Competency: 9. Provide algebraic reasoning or justification for results.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
V. c	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will provide algebraic reasoning or justification for results.	The student will be able to provide algebraic reasoning or justification for results.	MA1	1.8, 3.3

District Skill Competency: 10. Write and use a variety of equations including lines, circles, parabolas, hyperbolas, and ellipses.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
IV. a	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will write and use a variety of equations including lines, circles, parabolas, hyperbolas, and ellipses.	The student will be able to write and use a variety of equations including lines, circle, parabolas, hyperbolas, and ellipses.	MA2	1.4, 1.8

District Skill Competency: 11. Test an answer for reasonableness.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
IX. b	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will test and answer for reasonableness.	The student will be able to test an answer for reasonableness.	MA5	1.6, 1.8

District Skill Competency: 12. Use trigonometry functions to solve any triangle.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
VI	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will use trigonometry functions to solve any triangle.	The student will be able to use trigonometry functions to solve any triangle.	MA2	1.6, 1.8

District Skill Competency: 13. Graph various conic sections including lines, circles, parabolas, hyperbolas, ellipses, third degree equations, exponential functions, and logarithmic functions.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
VIII. i V. b	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will graph various conic sections including lines, circles, parabolas, hyperbolas, ellipses, third degree equations, Exponential functions, and logarithmic functions.	The student will be able to graph various conic sections, third degree equations, exponential functions and logarithmic functions.	MA4	1.6, 1.8

District Skill Competency: 14. Use slope and y-intercepts to analyze the relationship between lines.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
X. a X. b X. d	60%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will use slope and y-intercepts to analyze the relationship between lines.	The student will be able to use slope and y-intercepts to analyze the relationship between lines.	MA6	1.2, 2.7

District Skill Competency: 15. Gather and analyze data in relationship to the situation being studied.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
IX. d	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will gather and analyze data in relationship to the situation being studied.	The student will be able to gather and analyze data in relationships to the situation being studied.	MA3	1.2, 1.8
District Skill Competency: 16. Apply specific patterns associated with special triangles.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
VI. e	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will apply specific patterns associated with special triangles.	The student will be able to apply specific patterns associated with special triangles.	MA2	1.4, 1.6

District Skill Competency: 17. Analyze and find missing information in sequences and series.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
VII. r (l) VII. f VI. k VIII. g	60%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will analyze and find missing information in sequences and series.	The student will be able to analyze and find missing information in sequences and series.	MA3	1.6, 3.4

District Skill Competency: 18. Perform the four operations with complex numbers.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
IX. d	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will perform the four operations with complex numbers.	The student will be able to perform the four operations with complex numbers.	MA5	1.2, 1.6

District Skill Competency: 19. Evaluate logarithms including usage of a calculator.
Frameworks Addressed	Mastery	Activities	Assessment	Content Standards	Performance Standards
IX. b IX. c	70%	Through classroom instruction teacher, modeling, worksheets, and homework assignments students will evaluate logarithms including usage of a calculator.	The student will be able to evaluate logarithms including usage of a calculator.