Textbook Lessons

Component Content

1. Students will be able to solve, graph, and analyze linear equations and inequalities.
A. Students will write an equivalent equation or inequality in simplest form.
B. Students will use slope-intercept, standard, andpoint-slope form.
C. Students will use ordered pairs in graphs and in solution sets.
D. Students will identify the relationship between ordered pairs,graphs, and equations.
E. Students will identify the slope, intercepts, domain, and range of functions.

2. Students will solve, graph, and analyze nonlinear equations/inequalities by various methods.
A. Students will write an equivalent equation or inequality in simplest form.
B. Students will solve by factoring, completing the square, and using the quadratic formula.
C. Students will determine ordered pairs in a solution set.
D. Students will relate ordered pairs, graphs, and equations.
E. Students will find the vertex, maximum, and minimum of equations.
F. Students will identify the domain and range of functions.

3. Students will be able to solve, graph, and analyze systems of equations/inequalities by various methods.
A. Students will solve by graphing, substitution, linear combination, and the use of matrices.
B. Students will identify the types of solutions.

4. Students will be able ro understand and apply functions.
A. Studnets will define functions.
B. Students will use functional notation and graph solutions of functions.
C. Students will identify the attributes of families of functions.
D. Students will develop functions from data points.

5. Students will be able to solve trigonometric functions using triangles.
A. Students will identify the sine, cosine, and tangent relationships of right triangles.
B. Students will solve for missing parts of right triangles.
C. Students will identify and apply the laws of sine and cosine.
D. Students will identify cases of multiple solutions or no solution.

6. Students will be able to understand and use the exponential and logarithmic functions.
A. Students will identify the relationship between exponential and logarithmic functions.
B. Students will use the methods of solving simple logarithmic and exponential equations.
C. Students will identify the basic properties logarithms and use them to solve problems.

7. Students will be able to perform operations and solve equations using complex numbers.
A. Students will define complex numbers.
B. Students will apply the basic operations with radicals.
C. Students will solve equations with complex solutions.

8. Students will be able to perform operations and solve equations using radicals.
A. Students will simplify radicals.
B. Students will use the four basic operations of radicals.
C. Students will use the relationship between rational exponents and their radical form to rewrite and solve solutions.
D. Students will solve linear equations with radical solutions.
E. Students will solve quadratic equations with radical equations.







Logic

Component Content

1. Students will be able to recognize and use logical terms and symbols:
A. Students will recognize and understand propositions, premises, and conclusions.
B. Students will recognize symbolic logic and be skilled in the algebra of propositions.
C. Students will understand and use IF...THEN, AND, OR, and NOT terminology.

2. Students will be able to interpret and determine truth values:
A. Students will understand true and false terminology.
B. Students will understand and produce truth tables.

3. Students will be able to recognize and manipulate conditional statements and their variations:
A. Students will understand hypothesis/antecedent and conclusion/consequence clauses.
B. Students will understand converse, inverse, and contrapositive variations and use them to manipulate logical statements.

4. Students will be able to understand and perform deductive reasoning:
A. Students will perform deductive reasoning in mathematical systems.
B. Students will understand indirect deduction and the phenomena of paradoxes.

5. Students will be able to understand and perform inductive reasoning:
A. Students will perform inductive reasoning in mathematical systems.
B. Students will understand incomplete and complete inductive reasoning.

Calculator/Computer Laboratories

Component Content

1. Students will be able to design and conduct meaningful experiments:
A. Students will produce meaningful data.
B. Students will choose appropriate tools and methods to accurately and precisely measure experimental phenomena.
C. Students will effectively record and organize data.

2. Students will be able to effectively interpret data:
A. Students will select appropriate technology to record, display and analyze data (graphing calculator, spreadsheet, mathematical software).
B. Students will present data in a usable form (lists, tables, charts).
C. Students will display data in appropriate numerical or graphical format.
D. Students will analyze data using appropriate pencil and paper or electronic methods.
E. Students will develop mathematical models for experimental phenomena.
F. Students will use models to predict behavior of experimental phenomena.
G. Students will test models through experimentation.

3. Students will be able to develop and use mathematical models:
A. Students will select appropriate technology to build relationship models (Geometer's Sketchpad , Stella ).
B. Students will effectively use software to model relationships.
C. Students will develop and manipulate models to demonstrate mathematical truths and investigate mathematical relationships.