TFCMATHS 91F : Foundation Mathematics 1
2020 Semester Two (1205) (15 POINTS)
This course focuses on the development of mathematical skills and the understanding of key concepts. There is a need to build the confidence of students new to tertiary education who may have had variable learning experiences with mathematics, as well as to prepare them for future studies in mathematical sciences. In particular, we aim to set a mathematical platform that includes:
- learning and using the accepted mathematical conventions and notations;
- understanding of the relationships between fundamental arithmetic and proportional processes;
• developing of algebraic manipulative skills; and
• experiences in interpreting and solving problems.
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|
- Answer questions involving mathematical situations that require problem-solving strategies, including the key numeracy strategies with additive, multiplicative and proportional backgrounds (Capability 1 and 3)
- Apply order of operations ideas, including integers, fractions and substitution in formulae. (Capability 1, 2 and 3)
- Perform algebraic manipulations with formulae, including transposition, and be able to solve linear, quadratic and exponential equations in mathematical situations and other models or contexts. (Capability 1, 2 and 3)
- Use straightforward graphs to model linear rates and other situations. (Capability 1, 2, 3 and 4)
- Solve problems involving time and rate calculations, with Pythagoras’ Theorem, (Capability 1, 2 and 3)
- Apply the metric system to problems with standard two-dimensional shapes (perimeters, areas) and standard three-dimensional shapes (surface area and volumes), and the trapezoidal rule. (Capability 1, 2, 3 and 4)
- Use a calculator proficiently and with large and small numbers including fractions and decimals, in mathematical and other situations, so that reasonable answers are obtained. (Capability 1, 2, 3 and 5)
- Apply their learning of mathematics critically and actively contribute to group collaborative activities and discussions in order to provide group solution(s) to several tasks. (Capability 1, 2, 3, 4, 5 and 6)
|Canvas quizzes (best 8 of 10)||10%||Individual Coursework|
|Assignments (three written)||12%||Individual Coursework|
|Team or collaborative project tasks (2)||8%||Group & Individual Coursework|
|Tests - Chapter, Mid Semester, Final||70%||Individual Coursework|
|Assessment Type||Learning Outcome Addressed|
|Canvas quizzes (best 8 of 10)|
|Assignments (three written)|
|Team or collaborative project tasks (2)|
|Tests - Chapter, Mid Semester, Final|
This course is a standard  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  hours of lectures, including a tutorial or assessment, plus  hours of reading and thinking about the content and  hours of work on assignments, e-quizzes and/or test preparation.
Ensure you are familiar with the Lecture Schedule (see Study Guide) since this has all the assessment dates and how the semester will proceed. This is usually available about two weeks before the semester starts.
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.
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.
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 http://disability.auckland.ac.nz
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: https://www.auckland.ac.nz/en/students/academic-information/exams-and-final-results/during-exams/aegrotat-and-compassionate-consideration.html.
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 Team / Collaborative tasks, please note that these assessments cannot be repeated since each requires a whole team effort and contribution when submitting each task.
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, on one occasion we changed the order of a chapter when students asked us to teach part of that chapter earlier, since they required it in as they needed it in another subject.
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 (https://www.auckland.ac.nz/en/students/forms-policies-and-guidelines/student-policies-and-guidelines/student-charter.html).
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.