City of Shapes | Part 2: A City to Live In (Geometry)

Introduction

Throughout the course, learners will craft innovative solutions to prevalent accessibility issues, underpinned by an understanding of solid geometry properties like surface area and volume. This understanding will inform a detailed cost analysis of their designs, ensuring practical, feasible solutions.

In an impactful, real-world application, students will liaise with clients or organizations to fine-tune their designs, creating scalable versions tailored to cater to a variety of individual needs. By the end of this course, learners will not only acquire a firm grasp of geometry,  but also a deep appreciation for its potential to craft a more inclusive world.

Essential Questions

• What are the unique properties of circles and quadrilaterals, and how can we use them to solve geometric problems?

• What conclusions can we draw based on the relationship between a circle and the inscribed or circumscribed figures?

Learning Objectives

Students will be able to…

• Infer angle measurements for inscribed right triangles and quadrilaterals.

• Identify and calculate measurements involving arcs, sectors, chords, and secants.

• Define and identify lines tangent to a circle.

• Calculate the perimeter of polygons with an inscribed circle.

• Calculate area and circumference of circles.

• Identify and apply properties of quadrilaterals.

• Apply properties of parallel lines and transversals to quadrilaterals.

• Draw conclusions about geometric figures and length and angle measures, and provide evidence to support their conclusions.

• Construct geometric figures involving circles and quadrilaterals.