# Geometry & Trigonometry

This topic is where we tackle the ideas of shape and space on the course. Drawing on some fundamentals, there is an emphasis on general applications of trigonometry as well as an exploration of the Volume and Surface area. then we look at the practical idea of Voronoi diagrams and their dependence on perpendicular bisectors. HL students move off in to more sophisticated ideas.

## What is here?

Directory of sub pages

#### SL Scheme - G & T

The new Mathematics: Applications and Interpretation syllabus is out and published on the IB website. Log in to your MyIB account and head to this link . It is a new course with a new name and renewed...

#### SL Right angled trigonometry

This part of trigonometry can be seen in the recurring relationships between the sides of right angles triangles. The relationship means that we can use two bits of information about a triangle to work...

#### SL Non right angled trigonometry

Here we take trigonometry to the next level by working with triangles that do not have a right angle. We will work on three key rules. The Sine rule, the Cosine rule and the formula for th area of a triangle....

#### SL Volume & Surface area

This section is all about the volume and surface area of prisms, cylinders, pyramids, cones and spheres! All of these shapes has their own unique properties and this section is about understanding and...

#### SL Voronoi Diagrams

In a volcanically active region (like the island of Montserrat), which place is the furthest away from all existing volcanoes? (and hence, possibly, the safest place to live).Which areas of the city are...

#### HL Trig Equations Discovery

'It's just "solving equations", but with an infinite number of solutions'Remind yourself of the variety of equations you know how to solve by completing the quiz in the resource section below or pick...

#### HL Unit Circle - Investigate

If you haven't been on a Ferris Wheel yet, you've probably seen one. Close your eyes, picture yourself 90m off the ground, level with the main axel of the Singapore Flyer, the world's largest Ferris Wheel...

## Concepts

Something about the concepts on which this unit is based

## Selected Pages

free

### SL Scheme - G & T11 September 2021

The new Mathematics: Applications and Interpretation syllabus is out and published on the IB website. Log in to your MyIB...
more

free

### HL Matrix Transformations&Determinants (AHL3.9)18 August 2021

On this page you can find a set of videos, created by James Tanton (training available here), for topics AHL 3.9 and 3.15...
more

free

### SL Voronoi Diagrams5 June 2021

In a volcanically active region (like the island of Montserrat), which place is the furthest away from all existing volcanoes?...
more

free

### Toxic Waste Dump problem24 October 2020

'Can Voronoi diagrams help us select a site that is as far as possible from all existing sites?'Russia’s Kamchatka peninsula...
more

### HL Graph Theory(TSP)3.1611 July 2021

The below activities and Exam style questions follow on from the introduction to graphs, Kruskal and Prim's algorithms and...
more

### HL Graph Theory 3.14+3.1622 June 2021

At the heart of the modern day search for knowledge: internet "search engines", lies Graph theory. Google's "PageRank" algorithm...
more

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