ALGEBRA II

Subject: Algebra II

Grade: 9‑12

Length of Course: First and Second Semester

Prerequisite: Pass Algebra I with an Average Grade of  "C" or Better for Both Semesters.

CURRICULUM BENCHMARKS:

1. To solve basic equations.
2. To solve and graph basic inequalities.
3. To calculate experimental probability.
4. To calculate theoretical probability.
5. To identify functions.
6. To find the domain and range of a function.
7. To graph linear functions.
8. To write linear equations.
9. To solve problems involving direct variation.
10. To graph absolute value functions.
11. To solve and graph two variable inequalities.
12. To solve systems of equations.
13. To solve and graph systems of inequalities.
14. To find max/min values to solve linear programming.
15. To add/subtract matrices.
16. To multiply a matrix by a scalar.
17. To multiply a matrix by a matrix
18. To find the inverse of a 2x2 matrix.
19. To graph quadratic functions.
20. To find the max/min (vertex) of a quadratic function.
21. To factor polynomials using greatest common factor.
22. To factor trinomials.
23. To factor special expressions.
24. To solve a quadratic equation using factoring.
25. To solve a quadratic equation using completing the square.
26. To solve a quadratic equation using the quadratic formula.
27. To classify a polynomial expression be degree and term.
28. To divide polynomials using long division.
29. To divide polynomials using synthetic division.
30. To factor sum/difference of cubes.
31. To calculate permutations and combinations.
32. To use Pascal’s Triangle to expand a binomial.
33. To simplify radical expressions.
34. To convert between radical expressions and rational exponents.
35. To solve radical equations
36. To find composite function values.
37. To convert between log notation and exponential notation.
38. To simplify and expand logs
39. To solve exponential equations using logs.
40. To solve problems involving inverse variation.
41. To simplify rational expressions.
42. To solve rational equations.
43. To know the difference between irrational and rational numbers.
44. To simplify complex fractions.
45. To solve rational equations.

COURSE DESCRIPTION: Algebra II reviews concepts covered in Algebra I.  The course begins with a thorough discussion of the properties of real numbers.  Solving equations and inequalities is the primary focus of this course.  To do this, students will learn various techniques for simplifying expressions, factoring polynomials, and graphing.  Concepts like functions, relations and imaginary numbers will also be introduced.  These algebraic skills will be applied through story problems.

WHAT STUDENTS ARE EXPECTED TO DO:

1)   Complete homework on time with acceptable quality.

2)   Be prepared for class and take notes over examples.

3)   Participate in classroom examples and discussion.

4)   Pass tests and quizzes.

Evaluation

Students will be evaluated on successful   completion of daily assignments, quizzes and tests.