Year 12 Units 3 & 4 General Mathematics
Elevate Your Math Skills to New Heights!
Dive into the depths of mathematical concepts with the Modelled Education Year 12 Units 3 & 4 QLD General Mathematics program. Designed to align with the Queensland Curriculum and Assessment Authority, our course offers a profound exploration of mathematics, blending theory with practical applications. This program is an opportunity to not just learn but to apply mathematics in diverse real-world contexts.
Aligned with the Queensland Curriculum and Assessment Authority
Core Topics and Learning Outcomes
- Explore techniques for analysing the relationship between two variables.
- Understand correlation vs causation and their real-world implications.
- Employ statistical methods like scatterplots and regression analysis in investigations.
- Develop mathematical models to represent and predict variable relationships.
- Utilise regression analysis and other techniques for real-world data application.
- Interpret mathematical model results for informed decision-making.
- Analyse time-based data, understanding trends, seasonality, and forecasting.
- Employ time series analysis in various contexts, from economics to business.
- Delve into arithmetic and geometric progressions.
- Apply sequence formulas for nth term and sum calculations.
- Use sequences and series in practical problem-solving.
- Study Earth’s geometry including latitude and longitude.
- Master time zone calculations and applications.
- Apply Earth geometry knowledge for navigation and time difference calculations.
- Calculate compound interest for loans and investments.
- Understand the effects of compounding frequency on returns.
- Analyse compound interest in financial decision-making.
- Grasp concepts of reducing-balance loans and their repayment structures.
- Calculate future and present values of annuities and perpetuities.
- Implement these concepts in financial planning and investment scenarios.
- Explore graph theory, including various graph types and properties.
- Tackle problems in networks, connectivity, and traversal.
- Apply graph theory to practical situations like transportation and social networking.
- Delve into optimisation problems involving connectors, assignments, and flows.
- Develop and apply algorithms for problem-solving in logistics and resource allocation.
- Understand project management concepts including Gantt charts and critical path analysis.
- Master the art of efficient project planning and scheduling.
- Effectively manage resources and timelines to achieve project objectives.
Skills and Competencies
Throughout Units 3 and 4, students will also develop:
- Critical Thinking: Enhance analytical abilities to solve complex problems.
- Problem-solving Skills: Apply mathematical techniques in various practical situations.
- Communication: Clearly articulate mathematical ideas and solutions.
Assessment and Achievement
The program includes a comprehensive problem-solving and modelling assessment task, ensuring that students are able to apply their knowledge in practical scenarios.
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Begin Your Journey with Modelled Education
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Our Testimonials
What Our Customers Are Saying
C to B+ | A Student
Matthew, a former teacher at our son’s school, tutored him throughout years 6 and 7, imparting a clear understanding of the necessary math concepts required to succeed. We are thrilled with the results, as he elevated our son from a C to consistent B+ and A grades. Thank you, mate!
Youeil Shol
Parent
Highly Recommend
My son has been receiving maths tutoring from Matt for nearly three years now. My son’s confidence and ability has continued to grow over this time, with him now achieving very good grades at school. I highly recommend Matt for his tutoring services.
Amanda Brooks
Parent
Absolutely phenomenal over the three years with Matt
Mel J
Parent
Extensive knowledge of the curriculum
Matt, our qualified math tutor, has consistently shown punctuality, professionalism, and effectiveness while tutoring my twin sons over the past two years. With thorough preparation and exceptional feedback, he demonstrates extensive knowledge of the curriculum. Matt’s patient and skilled approach has notably boosted both their grades and confidence in mathematics as they both have improved in mathematics. His supportive teaching style creates a positive learning environment, making him a highly recommended choice for anyone seeking a dedicated and knowledgeable tutor.
Bonny
Parent
I could not recommend Matthew more highly.
I can recommend Matthew Rayner as a tutor for a high school student whole heartedly. Matthew has tutored our son in high school maths for many years. Matthew has an impressive knowledge from his teaching background of the current curriculum and assessments and plans the sessions with great thought. I truly believe that as Mathew is a teacher, he can impart the knowledge in a clear way and breakdown complex matters into understandable parts. Our son has grown in confidence in his own ability thanks to Matthew’s guidance and assistance. We have seen great outcomes thanks to Mathew and Matthew has never hesitated to be in contact with our son outside the scheduled sessions to answer questions and to provide more resources. Matthew kept us updated with our son’s progress. We are thrilled at the transformation in our son’s performance and attitude.
I could not recommend Matthew more highly.
Joanne Young
Parent
Cannot Speak Highly Enough
We have known Matt for a 3-year period in the capacity of a Maths Tutor for our 3 children, who are in various stages of high school. Initially Matt started with our eldest in Year 10, who has now graduated from School (2023), with a good math result. Matt’s approach made a positive impact on our eldest, a previously reluctant maths learner with his organized, engaging, and approachable teaching style. Matt saw him through his final year with a calm approach, that gave our son confidence and a strong understanding of the math concepts required. Our middle child (finished Year 9 in 20203) is a high achiever who Matt was able to support to achieve even greater results. He stretched her learning in areas when needed and was able to develop her own confidence in seeing herself as being “really good” at maths. Our youngest (finished Year 7 in 2023) is clever however needed support to consolidate the basics and stay focused to achieve his goals. Matt was a patient expert at keeping him engaged, motivated and moving through small steps to each bigger goal. Matt was always able to explain concepts in various ways to help make sense of each concept, an amazing attribute to have as a maths tutor/teacher. Although Matt’s approach is similar with all three of our children, he always individualized his approach to each child to connect and drive individual goals, as they are all very different learners. Matt always comes with resources (texts) and knows the curriculum well, so can jump in and out of topics with ease, to extend or consolidate learning. Matt showed the importance of developing good mathematical habits which have benefited our children greatly, both in exams and generally to consolidate their math skills. Matt has shown great commitment to our family throughout the years, being both flexible in timings, but also being available in times of “math stress” around exam time. We, my husband, and I cannot speak highly enough of Matt, and his teaching/tutoring skills across all secondary school students. Matt has excellent communication skills both with us and the children, making it effortless to schedule and work with him over this period.