3.1 3D Geometry

 

 Section Checklist:

• Are you able to identify distance between two points in three-dimensional space and their midpoint?
• Are you able to find the volume and surface are of a cylinder?
• Are you able to find the volume and surface are of a sphere?
• Are you able to find the volume and curved surface area of a right cone?
• Are you able to find the volume and surface area of a right pyramid?
• Are you able to find the angel between two lines in two-dimensions?
• Are you able to find the angle between a line and a plane?
• Are you able to find the angle between two intersecting lines in three dimensions?

Section Contents:

    A: Distance and Midpoint

    B: 3D Geometry

    C: Optimisation

Class Notes:

    Link: Notes PDF Version

    Link: Notes_Completed PDF Version

Resources:

Optimisation Practice Questions

Optimisation Practice Questions Answer 

 

Christos Nikolaidis - IB MATH AA Problems 

        IB Math AA SL 3.1-3.3 3D Geometry and Triangle Questions               

        IB Math AA SL 3.1-3.3 3D Geometry and Triangle Solution

 

 

 

 

SL 3.3 Trigonometry Applications

Section Checklist:

• Are you able to use trigonometry in questions involving angles of elevation and depression?
• Are you able to construct diagrams from giving information (often invovling bearings) and solve using trigonometry?

Section Contents:

    A: The Pythagorean Theorem

    B: The angles of elevation and depression

    C: True Bearings

    D: Real Life Application

Class Notes:

    Link: Notes PDF Version

    Link: Notes_Completed PDF Version

Resources:

Past Questions - IB MATH AA SL Questions and Solutions