Mathematics Department

Essential Knowledge and Skills

Students in Informal Geometry will study geometric properties and vocabulary for polygons, circles and triangles. Students will also study and reproduce the step-by-step instructions of various constructions. Topics also covered in the class are angle and line relationships, triangle and polygon congruence and similarity. Students will find volume, surface area and total area of geometric solids.

Indicators of Student Learning

Upon the completion of this course, students will:

Problem Solving

• Utilize different problem solving strategies including; drawing and labeling a diagram, choosing appropriate operations and checking the reasonableness of results.

• Calculate perimeter, area and volume

• Represent and solve routine and none routine problems verbally, numerically, graphically and geometrically.

• Demonstrate modest proficiency in the use of geometric tools to construct geometric figures.

Reasoning and Proof

• Demonstrate the use of inductive and deductive reasoning to arrive at logical conclusions.

Communication

• Express geometric concepts using correct terminology and geometric notation in oral and written form.

• Identify and classify various geometric figures.

• Use the language of mathematics to clearly express mathematical ideas.

• Use communication strategies to facilitate retention of information taking notes and repeating information.

• Make a connection between prior knowledge and new information.

Technology

• Select and use appropriate technology to solve problems involving geometry.

• Construct geometric figures using Geometric software

• Create and give multi-media presentations, e.g., The Salt Palace Project

Assessment

Upon the completion of this course, students will:

• Demonstrate competency in problem solving including; drawing and labeling a diagram, choosing appropriate operations, calculating results and checking for reasonableness of those results.

• Demonstrate competency in reasoning by using inductive and deductive reasoning to arrive at logical conclusions.

• Demonstrate competency in communication by using correct terminology, expressing ideas clearly, presenting ideas and information in presentations, written response and multi-media.

• Demonstrate competency in technology by creating and constructing geometric figures, projects, and multi-media presentations.