Secondary 5 Math Graphs — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 8 definitions and 4 theorems, 4 worked examples, in 5 printable pages. This page lists what the notes cover. The notes themselves come with the Secondary 5 Math bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Graphs — what the notes cover
4 sections, in the order the unit is taught. Each entry below is the title of a definition or a theorem the notes state in full.
What a graph is
- Definition — Graph
- Definition — The vocabulary
- Definition — Types of graph
- Theorem — The handshake relation
Also in this section: 1 worked example, 1 note on method and common errors.
Chains and cycles
- Definition — Chain, path and cycle
- Definition — Euler and Hamilton chains
- Theorem — When an Euler chain exists
Also in this section: 1 worked example, 1 note on method and common errors.
The chromatic number
- Definition — Colouring and chromatic number
- Theorem — Bounding it, then meeting the bound
Also in this section: 1 worked example, 2 notes on method and common errors.
Minimum paths and minimum trees
- Definition — Path of minimum value
- Definition — Tree of minimum or maximum value
- Theorem — Building a tree of minimum value
Also in this section: 1 worked example, 1 note on method and common errors.
Where the notes are
The notes are one of the documents in the Secondary 5 Math Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Graphs practice worksheet is free and stays free.
Every Secondary 5 Math topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 21 Secondary 5 Math units: the worksheet, the reference notes, the challenge set, the unit test and every answer key — these notes included.
- Worked solutions, not answer lists — every step written out
- Covers the whole year's program at this level
- Less than the price of one hour of tutoring — for the entire year's solutions
Practise it, then test yourself
Notes on their own do not make anything stick. This unit has a free, printable practice worksheet, and an end-of-unit test that comes with the bundle.