Learning Resources
Home » » Courses » Mathematics » Advanced Mathematics 3205 (delisted) » Unit 04 » Set 01 ILO 01 » Get Ready
Outcomes
In this lesson you will
- develop definitions for and applications of various terms associated with circles
- explore chords and make conclusions about them
- examine the relationship between chords that are the same distance from the centre of the circle
- discuss "iff" notation
By the end of this section students will be able to:
- apply inductive reasoning to make conjectures in geometric situations
- investigate and make and prove conjectures associated with chord properties of circles
- write proofs using various axiomatic systems and assess the validity of deductive arguments
- demonstrate an understanding of the concept of converse
- apply properties of circles
- solve problems involving the equations and characteristics of circles and ellipses
Introduction
Mathematical Modeling, Book 3 p.206 - 221
In this section you will investigate, make conjectures about, and apply chord properties in the context of building a domed arena for a sports and activity complex.
In this section you will see that there are many valid ways to prove conclusions using geometry.
This section will form the groundwork for the sections that follow, as it reviews and introduces theory that will be applied throughout the unit.
This section should take from 4 to 5 hours to complete.
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- familiarity with a circle, semicircle, radius, centre, diameter, chord, circumference and arc
- paper folding