Working with algebraic and graphical techniques

Assignments

We welcome feedback and contributions. If you have any comments, ideas or resources to offer please contact June Haighton.

Please note that resources added most recently are at the bottom of the page.

Coughs and Sneezes
Includes data about the way in which an outbreak of the common cold spreads. Students are asked to model the data using trigonometric and polynomial functions. Teacher notes included

Student Information: (application/msword, 666 KB) (application/pdf, 65 KB)

Cup of Coffee
A Data Sheet gives the amount of caffeine remaining in the bodies of a group of people at intervals of 1 hour after they have drunk a cup of coffee or cola. Students are asked to model the data using exponential and linear functions. Teacher notes included.

Student Information (application/msword, 87 KB) (application/pdf, 38 KB)
Data sheet (application/vnd.ms-excel, 17 KB)

SARS A
Data set giving the number of deaths from SARS in 2003. Students choose, draw and evaluate functions to model the data. Teacher notes show which parts of the portfolio requirements are covered.

Student Information (application/pdf, 51 KB) Data (application/vnd.ms-excel, 18 KB)

SARS B
SARS B is an alternative version of SARS A contributed by Alan Heslington of Tyne Metropolitan College

Student Information (application/msword, 63 KB) (application/pdf, 20 KB)

Sea Defence Wall
Two versions in which students find functions to model the outline of a sea defence wall. The first version encourages students to work independently, the second is for less able students. Contributed by Ann Clarke from Cambridge Regional College.

Student Information: (application/msword, 68 KB) (application/pdf, 39 KB)

Smoke Strata
Includes data about the height of smoke layers due to a fire in a tall building and sample examination question. Data could also be used to give practice for portfolio requirements or form the basis for an assignment.

Student Information: (application/msword, 75 KB) (application/pdf, 38 KB)
Teacher Notes: (application/msword, 115 KB) (application/pdf, 30 KB)

Sunrise and Sunset Times
Students find and evaluate trigonometric functions to model how the amount of daylight varies with the day of the year. Includes data for Adelaide, Brisbane and London. Contributed by Kingston College school of Mathematics.

Student Information (application/msword, 101 KB) (application/pdf, 51 KB)

Tides
Data set giving the water depth each hour during a day. Students choose, draw and evaluate functions to model the data. Teacher notes and a range of possible solutions included.

Student Information (application/msword, 687 KB) (application/pdf, 149 KB)
Spreadsheet (application/vnd.ms-excel, 19 KB)

Water Flow
Includes data about the velocity of water as it flows along an open channel and sample examination question. Data could also be used to give practice for portfolio requirements or form the basis for an assignment.

Student Information: (application/msword, 88 KB) (application/pdf, 40 KB)
Teacher Notes: (application/msword, 56 KB) (application/pdf, 15 KB)