LOGAN-ROGERSVILLE R-VIII MATHEMATICS CURRICULUM

ALGEBRA I

 

COURSE RATIONALE

            Algebra I teaches skills that help students develop intellectual, social, and emotional well-being and allows students to analyze and solve everyday problems.  Algebra I 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 I will help students develop these skills as they learn to communicate their thoughts to others.

 

COURSE DESCRIPTION

            The objectives and activities of this course are to gain skills in basic fundamentals of algebra including linear equations, systems of equations, quadratic equations, rational algebraic expressions, properties, operations with integers, inequalities, polynomials, factoring, functions and graphs.  These skills will also be used on practical applications.

 

 

Course Competencies

Algebra I

The student will be able to

1.      Write, evaluate and simplify expressions

2.      Add, subtract, multiply and divide rational numbers.

3.      Solve and graph linear equations and inequalities.

4.      Solve multi-step word problems

5.      Evaluate expressions with exponents.

6.      Write numbers using scientific notation.

7.      Add, subtract, and multiply polynomials.

8.      Factor polynomials.

9.  Find the slope of a line

            10. Write the equation of a line

11. Solve and graph systems of equations and inequalities

12. Simplify and solve rational equations

13. Simplify and solve radical expressions and equations

14. Use the Pythagorean theorem.

15. Solve and graph quadratic equations

16. Solve real-world situations using algebra

 

Grade and/or class:  Algebra I

Date of Last Revision:  2002-2003

Writer:  Mary Williams

 

Student will:

District Skill Competency 1.  Write, evaluate and simplify expressions.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

I. a

IX. a

 

 

Through classroom instruction, teacher modeling and homework assignments, students will write, evaluate, and simplify expressions.

Individually students will write, evaluate, and simplify expressions.

70%

MA1

1.6

2.1

3.5

4.1

 

Student will:

District Skill Competency 2.  Add, subtract, and divide rational numbers.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

VIII. a

IX. a

 

 

Through classroom instruction, teacher modeling and homework assignments, students will add, subtract, multiply, and divide rational numbers.

Individually students will add, subtract, multiply, and divide rational numbers.

70%

MA1

1.6

1.8

2.1

4.1

 

Student will :

District Skill Competency 3.  Solve and graph linear equations and inequalities.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

V. a

VIII. e

 

 

 

 

Through classroom instruction, teacher modeling, and homework assignments, students will solve and graph linear equations and inequalities.

Students will solve and graph linear equations and inequalities.

70%

MA1

MA3

1.6

1.8

1.10

2.2

2.6

3.3

 

Student will:

District Skill Competency 4.  Solve multi-step word problems.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

I. d

II. h

IV. d

VIII. d

Through classroom instruction, teacher modeling, and homework assignments, students will solve multi-step word problems.

Individually students will solve multi-step word problems.

70%

MA1

1.6, 1.8, 1.10, 2.1, 2.6, 3.2, 3.3,

3.6, 4.1-4.8

 

Student will:

District Skill Competency 5.  Evaluate expressions with exponents.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

II. h

 

 

 

Through classroom instruction, teacher modeling, and homework assignments, students will evaluate expressions with exponents.

Individually students will evaluate expressions with exponents.

70%

MA1

1.10, 2.6, 3.2, 4.8

 

Student will:

District Skill Competency 6.  Write numbers using scientific notation.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

II. h

 

 

 

Through classroom instruction, teacher modeling, and homework assignments, students will write numbers in scientific notation.

Individually students will write numbers in scientific notation.

70%

MA1

1.10, 2.6, 3.2, 4.8

 

Student will:

District Skill Competency 7.  Add, subtract, multiply and divide polynomials

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

I. a

Through classroom instruction, teacher modeling, and homework assignments, students will add subtract, multiply and divide polynomials.

Individually students will add subtract, multiply and divide polynomials.

70%

MA3

1.6, 1.8, 2.2, 3.3.

 

Student will:

District Skill Competency 8.  Factor polynomials.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

VIII. e

Through classroom instruction, teacher modeling and homework assignments, students will factor polynomials.

Individually students will factor polynomials.

70%

MA3

1.6, 1.8, 2.2, 3.3

 

Student will:

District Skill Competency 9.  Find the slope of a line

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

VIII. b

 

 

Through classroom instruction, teacher modeling, and homework assignments students will find the slope of a line.

Individually students will find the slope of a line.

70%

MA2

1.6, 1.8, 2.1, 3.3

 

Student will:

District Skill Competency 10.  Write the equation of a line.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

VIII. b

VIII. e

Through classroom instruction, teacher modeling, and homework assignments students will write the equation of a line.

Individually students will write the equation of a line.

70%

MA2

1.6, 1.8, 2.1, 2.2, 3.3

Student will:

District Skill Competency 11.  Solve and graph systems of equations and inequalities.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

VIII. b

VIII. e

 

Through classroom instruction, teacher modeling, and homework assignments students will solve and graph systems of equations and inequalities.

Individually students will solve and graph systems of equations and inequalities,

70%

MA5

1.6, 1.8, 2.1, 2.2, 3.3

 

Student will:

District Skill Competency 12.  Simplify and solve rational equations.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

VIII. e

 

 

 

Through classroom instruction, teacher modeling, and homework assignments students will solve and simplify rational equations.

Individually students will solve and simplify rational equations.

70%

MA1

1.6, 1.8, 2.2, 3.3

 

Student will:

District Skill Competency 13.  Simplify and solve radical expressions and equations.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

I. d

VIII. e

 

Through classroom instruction, teacher modeling, and homework assignments students will solve and simplify radical expressions and equations.

Individually students will solve and simplify radical expressions and equations.

70%

MA1

1.6, 1.8, 2.1, 2.2, 3.3, 3.6

 

Student will:

District Skill Competency 14.  Use the Pythagorean Theorem.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

III. c

 

 

Through classroom instruction, teacher modeling, and homework assignments students will use the Pythagorean Theorem.

Individually students will use the Pythagorean Theorem.

70%

MA1

2.1, 3.6

 

Student will:

District Skill Competency 15.  Solve and graph quadratic equations.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

I. d

 

 

 

Through classroom instruction, teacher modeling, and homework assignments students will solve and graph quadratic equations.

Individually students will solve and graph quadratic equations.

70%

MA1

2.1, 3.6

 

Student will:

District Skill Competency 16.  Solve real-world situations using algebra.

Frameworks Addressed

Activities

Assessments

Mastery

Content Standards

Performance Standards

II. d

II. e

II. h

IV. d

 

Through classroom instruction, teacher modeling, and homework assignments students will solve real-world situations using algebra.

Individually students will solve real-world situations using algebra.

70%

MA1

1.10, 2.1, 2.6, 3.2, 3.5, 4.1 - 4.8