EUB021 Mathematical Foundations


To view more information for this unit, select Unit Outline from the list below. Please note the teaching period for which the Unit Outline is relevant.


Unit Outline: Semester 1 2026, Online

Unit code:EUB021
Credit points:12
Disclaimer - Offer of some units is subject to viability, and information in these Unit Outlines is subject to change prior to commencement of the teaching period.

Overview

The unit covers essential numeracy, problem-solving, financial literacy, data analysis, and measurement concepts aligned with real-world applications in education. Emphasis is placed on interpreting and applying mathematical concepts in classroom settings, with a focus on building confidence and competence in numeracy. The content is based on the current senior secondary curriculum, General Mathematics (QCAA). It is designed for students entering Initial Teacher Education (ITE) programs through an alternative pathway or those seeking additional support to meet the mathematical requirements of teaching.

Learning Outcomes

On successful completion of this unit you will be able to:

  1. Select, recall, and apply mathematical rules, definitions, and procedures from algebra, functions, relations, statistics, and probability to solve mathematical problems.
  2. Interpret and analyse mathematical concepts in numerical, algebraic, statistical, and graphical contexts, demonstrating comprehension of core mathematical techniques.
  3. Communicate effectively using appropriate mathematical and statistical terminology, symbols, and conventions in both abstract and applied contexts.
  4. Solve mathematical problems involving equations, measurement, trigonometry, financial mathematics, and data analysis using appropriate methods and reasoning.
  5. Evaluate the reasonableness of solutions by applying estimation techniques, logical reasoning, and real-world understanding.

Content

  • Algebra and Linear Equations
  • Measurement and Geometry
  • Statistics and Data Analysis
  • Financial Mathematics
  • Real-World Applications of Mathematics

Learning Approaches

In this unit you will learn through engaging in the following:

  • Workshops (online and/or face-to-face)
  • Online self-directed learning
  • Personal research and readings
  • Collaborative activities with peers, and
  • Engagement with mathematics.

Feedback on Learning and Assessment

You will gain critical formative and summative feedback that will be relevant for your future learning and practice. Feedback will be provided by academics and peers through engagement in unit lecture, tutorials and workshops. Summative feedback will be provided on Assessment 1 and 2.

Assessment

Overview

You will complete two pieces of assessment:

1. Numeracy in Context: Case Study Analysis and Problem-Solving Portfolio - This assessment develops essential mathematical skills for real-world problem-solving and professional applications

2.  Exam - The end-of semester examination is invigilated. This assessment develops proficiency in numeracy skills, focusing on core mathematical concepts, problem-solving techniques, and their application in real-world contexts.

Unit Grading Scheme

S (Satisfactory) / U (Unsatisfactory)

Assessment Tasks

Assessment: Numeracy in Context: Case Study Analysis and Problem-Solving Portfolio

This assessment develops essential mathematical skills for real-world problem-solving and professional applications. Students will complete a structured portfolio covering algebra, measurement, statistics, and financial mathematics, applying problem-solving, data interpretation, and mathematical reasoning.

This assignment is eligible for the 48-hour late submission period and assignment extensions.

Weight: 50
Length: 1500 words
Individual/Group: Individual
Due (indicative): Week 6
Related Unit learning outcomes: 1, 2, 3, 4, 5

Assessment: Exam

This online exam assesses students' proficiency in numeracy skills, focusing on core mathematical concepts, problem-solving techniques, and their application in real-world contexts.

Weight: 50
Individual/Group: Individual
Due (indicative): During central examination period
Central exam duration: 1:40 - Including 10 minute perusal
Related Unit learning outcomes: 1, 2, 3, 4, 5

Academic Integrity

Academic integrity is a commitment to undertaking academic work and assessment in a manner that is ethical, fair, honest, respectful and accountable.

The Academic Integrity Policy sets out the range of conduct that can be a failure to maintain the standards of academic integrity. This includes, cheating in exams, plagiarism, self-plagiarism, collusion and contract cheating. It also includes providing fraudulent or altered documentation in support of an academic concession application, for example an assignment extension or a deferred exam.

You are encouraged to make use of QUT’s learning support services, resources and tools to assure the academic integrity of your assessment. This includes the use of text matching software that may be available to assist with self-assessing your academic integrity as part of the assessment submission process.

Breaching QUT’s Academic Integrity Policy or engaging in conduct that may defeat or compromise the purpose of assessment can lead to a finding of student misconduct (Code of Conduct – Student) and result in the imposition of penalties under the Management of Student Misconduct Policy, ranging from a grade reduction to exclusion from QUT.

Resources

There is no set text for this unit. All learning resources will be available to you via the unit's course site or provided to you in class.

Risk Assessment Statement

There are no out-of-the-ordinary risks associated with the general conduct of this unit. Workplace health and safety protocols in relation to computer use will apply.