TFCMATHS 92F : Foundation Mathematics 2


2020 Semester Two (1205) (15 POINTS)

Course Prescription

This second mathematics course aims to use the skills learnt in TFCMATHS 91F to develop an understanding of functions in their tabular, algebraic and graphical representations. This course prepares students for MATHS 102. Recommended preparation: TFCMATHS 91F or TFCMATHS 93F.

Course Overview

This second-semester course follows on from Maths 91F. The course continues to focus on the development and understanding of mathematical skills and concepts. The aim is to continue to build confidence and foster enjoyment in mathematics, as well as to provide a preparation for future study in Mathematics. In particular we aim to set a mathematical platform that includes:
•knowing the accepted conventions of mathematical notation and representation;
•experience in graph sketching and early discrete maths;
•continuing to develop algebraic manipulative skills; 
•an understanding of fundamental trigonometry;
•experience in problem solving.

Course Requirements

Restriction: MATHS 92F

Capabilities Developed in this Course

Capability 1: Disciplinary Knowledge and Practice
Capability 2: Critical Thinking
Capability 3: Solution Seeking
Capability 4: Communication and Engagement
Capability 5: Independence and Integrity
Capability 6: Social and Environmental Responsibilities

Learning Outcomes

By the end of this course, students will be able to:
  1. Contribute to group collaborative tasks, to help provide a group solution to the activities. (Capability 2, 3, 4 and 6)
  2. Recognize and use various forms of function notation, being able to write down and graph the inverses of functions, and identify the domains and ranges of functions. (Capability 1, 2, 3 and 4)
  3. Identify / model linear, quadratic, exponential, circle and trigonometric relationships with appropriate mathematical functions in mathematical and real world contexts, and then be able to interpret the various forms of these functions, and provide examples of an applications. (Capability 1, 2, 3, 4 and 6)
  4. Recognize a pattern and suggest appropriate formulae to describe it, and then extend this to other situations. (Capability 1, 2, 3, 4 and 5)
  5. Confidently estimate solutions to problems, and to reflect on what is a reasonable answer in the context. (Capability 1, 2, 3 and 4)
  6. Use relevant strategies and suitable technology to solve early discrete mathematics problems (e.g. matrices, introductory combinatorics). (Capability 1, 2, 3, 4 and 5)
  7. Be able to express mathematics in written form to communicate mathematical ideas and solutions to problems and contexts. (Capability 1, 2, 3, 4 and 5)
  8. Be able to reflect critically on their own and on others' learning. (Capability 2, 4, 5 and 6)
  9. Be prepared to enter MATHS 102 in the following year. Note -Summer School is only suggested for well-prepared students, as is MATHS 108. (Capability 1, 2 and 5)


Assessment Type Percentage Classification
Assignments 13.5% Individual Coursework
Collaborations 9% Group Coursework
Quizzes 7.5% Individual Coursework
Chapter Tests 10% Individual Coursework
Mid Semester Test 15% Individual Coursework
Final Exam 45% Individual Coursework
Assessment Type Learning Outcome Addressed
1 2 3 4 5 6 7 8 9
Chapter Tests
Mid Semester Test
Final Exam

Key Topics

1.   Geometry/Trigonometry 
2.  Linear Relations 
3.   Intro to Discrete Mathematics
4.  Functions
5.  Sequences

Learning Resources

Course Books
Standard scientific calculator
Desmos graphing package (in class)

Special Requirements

Expect full attendance and participation in classes;
Each aspect of course work is compulsory.
Must attempt Final Exam and achieve a minimum of at least 35%.

Workload Expectations

This course is a standard [15] point course and students are expected to spend 10 hours per week involved in each 15 point course that they are enrolled in.

For this course, you can expect [4-5] hours of lectures, a [1] hour tutorial, [6] hours of reading and working on homework exercises and [4] hours of work on assignments, quizzes, and/or test preparation.

Other Information

Ensure you are familiar with the lecture schedule since this has all the assessment dates, and how the semester will proceed. This is usually available about two weeks before the start of semester.

Digital Resources

Course materials are made available in a learning and collaboration tool called Canvas which also includes reading lists and lecture recordings (where available).

Please remember that the recording of any class on a personal device requires the permission of the instructor.


The content and delivery of content in this course are protected by copyright. Material belonging to others may have been used in this course and copied by and solely for the educational purposes of the University under license.

You may copy the course content for the purposes of private study or research, but you may not upload onto any third party site, make a further copy or sell, alter or further reproduce or distribute any part of the course content to another person.

Academic Integrity

The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting their learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the internet. A student's assessed work may be reviewed against online source material using computerised detection mechanisms.

Inclusive Learning

All students are asked to discuss any impairment related requirements privately, face to face and/or in written form with the course coordinator, lecturer or tutor.

Student Disability Services also provides support for students with a wide range of impairments, both visible and invisible, to succeed and excel at the University. For more information and contact details, please visit the Student Disability Services’ website at

Special Circumstances

If your ability to complete assessed coursework is affected by illness or other personal circumstances outside of your control, contact a member of teaching staff as soon as possible before the assessment is due.

If your personal circumstances significantly affect your performance, or preparation, for an exam or eligible written test, refer to the University’s aegrotat or compassionate consideration page:

This should be done as soon as possible and no later than seven days after the affected test or exam date.

If you are absent for any of the Collaborative group tasks, these assessments cannot be repeated since each requires a whole team effort and contribution when submitting each task.

Student Feedback

During the course Class Representatives in each class can take feedback to the staff responsible for the course and staff-student consultative committees.

At the end of the course students will be invited to give feedback on the course and teaching through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback.

Your feedback helps to improve the course and its delivery for all students.

For instance, feedback from students is particularly useful if they cannot find something on Canvas, or if a resource needs to be unlocked.

Student Charter and Responsibilities

The Student Charter assumes and acknowledges that students are active participants in the learning process and that they have responsibilities to the institution and the international community of scholars. The University expects that students will act at all times in a way that demonstrates respect for the rights of other students and staff so that the learning environment is both safe and productive. For further information visit Student Charter (


Elements of this outline may be subject to change. The latest information about the course will be available for enrolled students in Canvas.

In this course you may be asked to submit your coursework assessments digitally. The University reserves the right to conduct scheduled tests and examinations for this course online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. The final decision on the completion mode for a test or examination, and remote invigilation arrangements where applicable, will be advised to students at least 10 days prior to the scheduled date of the assessment, or in the case of an examination when the examination timetable is published.

Published on 20/12/2019 12:48 p.m.