Algebra/Geometry III-CP
This course is designed for 11th and 12th grade students who have successfully completed Algebra/Geometry 1 and 2 with a C or better and are proficient on the practice HSPA. The course is a continuation of the geometry segment begun in Algebra/Geometry 2 and covers approximately two-thirds of a one year Geometry course. Concepts of Space Geometry are integrated with Plane Geometry. Throughout the course algebraic skills are reviewed and strengthened as algebraic methods are applied to solving geometric problems. The course also includes trigonometry, area and volume, constructions, coordinate geometry, and transformational geometry.
Minimal proficiencies which must be mastered for the student to receive 5 credits for this course are:
- Define basic geometric terms.
- Prove theorems from basic postulates and definitions.
- State and apply theorems and/or postulates involving triangles, parallelograms, and circles.
- Write two-column proofs involving triangles, parallelograms, and circles.
- Prove and apply congruent triangles.
- Prove and apply similar triangles to problems involving ratio and proportion.
- State and apply the Pythagorean Theorem and properties of special right triangles.
- Use trigonometric ratios to solve problems involving right triangles.
- Apply theorems about a circle to compute the measures of arcs, chords, angles, and segments of a circle.
- Compute the area and volume of geometric figures and solids.
- Use coordinate geometry to determine properties of a line segment and to write and graph the equation of a line.
- Use transformational geometry to determine the location of points, segments or polygons through the use of reflections, half-turns, symmetry, rotations, translations, and dilation’s.
- Develop an understanding of the conceptual building blocks of calculus and will use them to model and analyze natural phenomena.
Ms. Rappoli