Graphs and Relations for Beginner Maths
Solve real-world problems using graphs, break-even analysis, and programming. Enrol now and build confident modelling skills today!
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Course Description
Graphs and Relations for Beginner Maths develops key skills in interpreting, constructing, and analysing linear and non-linear relationships. This course builds mathematical modelling abilities through graph construction, simultaneous equations, break-even analysis, and linear programming techniques.
Aligned with VCE Further Mathematics, and connected to components of NSW HSC Standard Mathematics 2, QLD General Mathematics, WA ATAR Mathematics Applications, and SACE Stage 2 General Mathematics, this unit teaches learners how to use graphs to model and solve practical problems across economics, business, and science contexts.
Ideal for learners looking to strengthen their applied algebra and modelling skills for real-world problem solving and senior mathematics exams.
Key Features
- Curriculum-Aligned Graphs and Modelling Content
- Mapped to VCE, HSC, QLD, WA, and SACE mathematics programs.
- Master Graph Construction and Interpretation
- Work with straight lines, step graphs, simultaneous equations, and non-linear graphs.
- Solve Real-World Problems Visually
- Model break-even points, cost/revenue analyses, and practical inequalities.
- Linear Programming Techniques
- Apply sliding line and corner point methods to find optimal solutions for linear systems.
- Critical Thinking with Graphs
- Develop skills to interpret intersections, extrapolate trends, and make data-driven decisions.
- Interactive Q&A + Optional 1-on-1 Tutoring
- Each course includes a built-in Q&A section. Ask questions where you’re stuck—our tutors will respond within the course. Need deeper support? 1-on-1 tutoring is available.
Additional fees apply for private sessions.
Keyphrases
- Graphs and Relations for Beginner Maths
- Further Maths Graph Modelling Course
- Senior High School Graphs and Linear Programming
- VCE Further Maths Graphs and Relations
- NSW HSC Standard Mathematics 2 – Graphs and Modelling
- QLD General Mathematics – Graphs and Relations
- WA ATAR Mathematics Applications – Graphs
- SACE Stage 2 General Mathematics – Graphing and Relations
- Graph Interpretation and Modelling
1. Construction and Interpretation of Graphs
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6.1.1 Straight Line, Intercepts and Gradient -
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6.1.2 Segment and Step Graphs
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3
6.1.3 Simultaneous Linear Equations
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6.1.4 Solving Simultaneous Linear Equations by Substitution
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6.1.5 Solving Simultaneous Linear Equations by Linear Addition/Subtraction
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6.1.6 Break-Even Analysis
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6.1.7 Analysing Non-Linear Graphs
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6.1.8 Use of Data and Graphs - Constructing Graphs from Tables
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6.1.9 Use of Data and Graphs - Interpolation/Extrapolation
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6.1.10 Use of Data and Graphs - Estimation of Minimum/Maximum Points
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6.1.11 Use of Data and Graphs - Points of Intersection
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6.1.12 Exponential Graphs
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6.1.13 Linearisation Using Exponentials
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6.1.14 Testing a Model Graphically Through Linearisation
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6.1.15 Determining the constant k by Linear Fit
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6.1.16 Equivalent Points
Starting Course
2. Linear Programming
FAQ 1
Faq Content 1
FAQ 2
Faq Content 2
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Course details
Duration
10 hours
Lectures
27
Video
9 hours
Quizzes
1
Level
Advanced
Basic info
- Course Title: Graphs and Relations for Beginner Maths
- Level: Senior High School
- Suitable Curricula:
- VCE Further Mathematics
- NSW HSC Standard Mathematics 2
- QLD General Mathematics
- WA ATAR Mathematics Applications
- SACE Stage 2 General Mathematics
- Mode: Online, Self-Paced
Intended audience
This course is designed for:
- Students across Australia studying: VCE, HSC, QLD, WA, or SACE senior maths pathways
- Students who want to:
- Learn to build and analyse graphs for problem solving
- Master break-even, linear programming, and simultaneous equation models
- Prepare for assessment questions based on graph interpretation
- Apply mathematical reasoning in business, economics, and science scenarios
- Learn through structured, visual instruction suited for both independent and classroom use
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