Course Objectives & Goals

Geometry:

Course Learning Outcomes

Upon successful completion of this course, students will:

1. Create formal constructions using a straight edge and compass and use the constructions to validate conjectures about geometric figures.

2. Use deductive reasoning to justify, prove, and apply theorems about geometric figures. The word “prove” means a formal proof to be shown in a paragraph, a flow chart, or two-column formats.

3. Generate and describe rigid and non-rigid transformations.

4. Apply similarity to solve problems.

5. Recognize characteristics and dimensional changes of two- and three-dimensional figures and apply formulas to determine measures of two- and three-dimensional figures.

6. Understand probability in real-world applications and how to apply independence and dependence of events.

Pre - Calculus:

Course Learning Outcomes

Upon successful completion of this course, students will:

1. Demonstrate and apply knowledge of properties of functions, including but not limited to domain and range, function operations, compositions, and inverses.

2. Recognize and apply polynomial, rational, radical, exponential, and logarithmic functions and solve related equations.

3. Recognize and apply trigonometric functions and solve related equations.

4. Apply graphing techniques.

5. Recognize and apply arithmetic and geometric sequences and series.

6. Recognize and apply vectors, conic sections, and rectangular and polar equations of conics.

College Prep:

Course Learning Outcomes

Upon successful completion of this course, students will:

1. Identify and apply properties of real numbers, and perform accurate arithmetic operations with numbers in various formats and number systems.

2. Demonstrate an understanding of linear equations, inequalities, and graphs.

3. Demonstrate the ability to perform basic operations on polynomials, and an understanding of algebraic operations.

4. Solve word problems and application problems.

All Subjects: 

Program Learning Outcomes

·       The student will be able to apply quantitative skills to synthesize, analyze, and evaluate mathematical equations.

·       The student will be able to read and construct mathematical arguments and proofs.

·       The student will be able to identify, formulate and analyze real-world problems with quantitative and statistical reasoning or mathematical techniques.

·       The student will be able to utilize technology and computer skills appropriately as an effective tool in investigating, analyzing and solving problems.

·       The student will be able to clearly communicate mathematical ideas in appropriate contexts visually, orally and in writing to a range of audiences. 

Required Core Objectives

1.  CRITICAL THINKING SKILLS: to include creative thinking, innovation, inquiry, and analysis, evaluation and synthesis of information.

2.  COMMUNICATION SKILLS:  to include effective development, interpretation and expression of ideas through written, oral and visual communication.

3.  EMPIRICAL AND QUANTITATIVE SKILLS:  to include the manipulation and analysis of numerical data or observable facts resulting in informed conclusions.

4.  COLLABORATION/TEAMWORK:  to include the ability to consider different points of view and to work effectively with others to support a shared purpose or goal.

5.SOCIAL RESPONSIBILITY:  to include intercultural competence, knowledge of civic responsibility, and the ability to engage effectively in regional, national, and global communities.

6.PERSONAL RESPONSIBILITY:  to include the ability to connect choices, actions, and consequences to ethical decision-making.