Secondary 5 Math Rational Functions — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 3 definitions and 5 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.
Rational Functions — 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.
The function and its asymptotes
- Definition — The rational function
- Definition — Asymptote
Also in this section: 1 worked example, 2 notes on method and common errors.
From the general form to the standard form
- Definition — The general form
- Theorem — Converting general to standard
Also in this section: 1 worked example, 1 note on method and common errors.
The remaining properties
- Theorem — Zero, initial value and sign
- Theorem — Variation
Also in this section: 1 worked example, 2 notes on method and common errors.
Finding the rule, the inverse, and problems
- Theorem — Finding the rule
- Theorem — The inverse
Also in this section: 1 worked example, 2 notes 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 Rational Functions 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.
Rational Functions practice worksheet About the Rational Functions unit test