Year 12 Units 3 & 4 Essential Mathematics
Elevate Your Math Skills to New Heights!
Aligned with the Queensland Curriculum and Assessment Authority
Core Topics and Learning Outcomes
- Gain a thorough understanding of measurement systems, units, and the art of conversion.
- Tackle real-world problems involving length, area, volume, and capacity.
- Master the skill of accurate measurement and effective use of measurement tools.
- Explore and understand various scales like linear, ratio, and logarithmic scales.
- Analyse and interpret data across different scales.
- Apply scaling principles effectively in data representation.
- Develop the ability to create and interpret histograms, frequency polygons, and scatterplots.
- Grasp the intricate relationships between data and its graphical representations.
- Utilize graphs as a powerful tool to analyse and communicate information.
- Dive into the study of probability, including models and calculations.
- Predict outcomes and analyse probability distributions.
- Solve practical problems involving chance and uncertainty using probability principles.
- Understand the nuances of loans, interest rates, repayments, and loan terms.
- Calculate interest and repayment amounts for various loan types.
- Make informed decisions about borrowing and managing loans.
Skills and Competencies
Throughout Units 3 and 4, students will further develop:
- Critical Thinking: Enhance problem-solving skills to analyse and tackle complex mathematical problems.
- Communication: Clearly articulate mathematical ideas, solutions, and interpretations.
- Technology Integration: Use technological tools, including calculators and software, for mathematical calculations and analysis.
Assessment and Progress
A key component of the program includes a comprehensive problem-solving and modelling assessment task, ensuring that students not only learn the concepts but also apply them effectively.
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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!
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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.
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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.