Download Analytical Algebra II Course Proficiencies

Tenafly High School
Course Proficiencies
Course Title: Intermediate Algebra
Semester: Fall
Objectives:
Students will demonstrate the ability to:
1. compare, order, and identify number systems.
2. determine the absolute value of a number and use this concept to calculate the
distance between two real numbers.
3. use order of operations (including exponents) to evaluate an expression with and
without the use of calculators.
4. identify properties of real numbers, and use properties to perform operations with
rational numbers.
5. perform operations and evaluate expressions using the properties of exponents.
6. simplify and evaluate algebraic expressions.
7. translate a verbal phrase into an algebraic expression.
8. solve and graph equations in one unknown.
9. identify equivalent forms of percents, decimals and fractions and solve related
problems.
10. use ratios and proportions for problem solving.
11. use mathematical modeling to solve business-related, mixture, rate, and work
problems.
12. solve and graph linear inequalities.
13. solve absolute-value equations and inequalities.
14. plot points on the Cartesian coordinate system.
15. use the distance formula to determine the distance between two points.
16. graph linear equations in two unknowns using the point-plotting, intercept-intercept,
and slope-intercept methods.
17. write the equation of a line in slope-intercept and standard forms.
18. use slope to determine whether two lines are parallel, perpendicular or neither.
19. use linear model to solve application problems.
20. perform operations using polynomials.
21. write the factored form of polynomials.
22. solve polynomial equations by factoring.
Tenafly High School
Course Proficiencies
Course Title: Intermediate Algebra
Semester: Spring
Objectives:
Students will demonstrate the ability to:
24.
25.
26.
27.
28.
29.
rewrite exponential expressions involving negative exponents.
rewrite numbers using scientific notation.
simplify rational expressions.
perform operations on rational expressions.
simplify a complex fraction.
use long division and synthetic division to divide one polynomial by another and to
determine whether a binomial is a factor of a given polynomial.
30. solve rational equations.
31. solve application problems using rational expressions.
32. evaluate radical expressions with and without a calculator.
33. simplify radical expressions.
34. use the Pythagorean Theorem in application problems.
35. perform operations on radical expressions.
36. solve radical equations and use them in solutions of application problems.
37. define imaginary numbers.
38. perform operations on imaginary numbers.
39. solve quadratic equations by factoring, extracting square roots, completing the
square, and the using the Quadratic Formula.
40. use the discriminant to determine the number and nature of complex roots of a
quadratic equation.
41. use quadratic equations to solve application problems.
42. sketch the graph of a function on the Cartesian coordinate system.
43. solve a system of linear equations graphically, by substitution or by elimination.
44. graph linear inequalities in two variables.
Progress Indicators:
Daily Assignments
Homework Checks
Teacher-made Quizzes
Teacher-made Tests
Cooperative Learning Activities
Portfolio Assessments
Computer Labs
Graphing Calculator Labs
Schedule of Teacher-made Quizzes and Tests for Text Book Sections:
Chapter 1
1.1 – 1.2 Quiz
1.3 – 1.5 Quiz
Chapter Test
Chapter 5
5.1 – 5.3 Quiz
5.4 – 5.5 Quiz
Chapter Test
Chapter 2
2.1 , 2.3 Quiz
7.2, 2.4 Quiz
Chapter Test
Chapter 6
6.1 – 6.3 Test
Chapter 7
7.3 Quiz
Chapter 3
3.1 – 3.2 Quiz
3.4 Quiz
3.5 Quiz
Chapter Test
Chapter 4
4.1 – 4.2 Quiz
4.3 – 4.4 Quiz
4.5 – 4.6 Quiz
Chapter Test
Chapter 8
8.1 – 8.2 Test