FREE Geometry & Algebra Fundamentals Course | Step-by-Step Online Help

Ready to solidify your math foundation? Our FREE Geometry & Algebra Fundamentals Course is designed to make complex concepts clear, step-by-step. Whether you're revisiting the basics, preparing for a new challenge, or building up to NCEA, Cambridge, or IB Calculus, this course provides the essential skills you need.

Maths Foundation Starter: Algebra + Geometry Free Access

Free Access For One Month

• Clear Understanding: Master fundamental geometric and algebraic concepts.
• Step-by-Step Learning: Follow along with easy-to-understand video lessons.  
• Practical Application: Apply concepts with guided practice exercises.  
• Build Confidence: Develop a strong mathematical foundation.  
• Flexible Learning: Learn at your own pace, anytime, anywhere.  
• Essential Prerequisite: Gain the core skills necessary for higher-level calculus studies

FOR A LIMITED TIME ONLY

Free

  • Build confidence and master the fundamentals of Calculus. Perfect for students and a great resource for teachers. Upgrade anytime.

    • 100% free. No credit card required.
    • Full access to all course videos and worksheets.
    • Build a strong math foundation with zero risk.
Free 30-Day Access

You’ll get one month of free access to both courses: Geometry & Trigonometry and Algebra Fundamentals.

What's Inside: Free Geometry & Trigonometry Course?
• Mastering Geometry Essentials
Dive into the world of shapes and space with lessons that simplify complex ideas. You'll explore the fundamental importance of geometry and get a crystal-clear explanation of Pythagoras' Theorem. Learn about Pythagorean triplets and how they relate to inscribed circles. Our practical lessons guide you through calculating distance between points, a key skill in coordinate geometry. You'll also discover techniques for estimating the volume of solids and calculating the surface area of solids, providing essential spatial reasoning.
 
• Understanding Right-Angled Trigonometry
Demystify the power of trigonometry in right-angled triangles. We'll show you why right-angled trigonometry is crucial and how to effectively use trigonometric ratios (SOH CAH TOA). Learn to find these ratios in surd form for exact answers. Apply your knowledge to real-world problems by using angles of elevation, and understand how to calculate the angle between two lines and the angle between a line and a plane. Finally, master the critical skill of finding bearings for navigation and directional problems.

• Exploring Non-Right-Angled Trigonometry
Expand your trigonometric toolkit beyond right angles. Understand why non-right-angled trigonometry is necessary and gain proficiency in using the Sine Rule and using the Cosine Rule to solve any triangle. Learn essential methods for calculating the area of any triangle when given two sides and the included angle. This section also revisits finding bearings in real-life scenarios, applying both Sine and Cosine Rules for practical problem-solving.

What's Inside: Free Algebra Fundamentals Course?
• Mastering Algebraic Expressions
Understand the fundamental importance of algebra as we guide you through writing and manipulating algebraic expressions. You'll learn essential techniques like expanding brackets and factorising algebraic expressions to simplify complex problems. We cover simplifying algebraic expressions thoroughly, including how to handle multiplying and dividing algebraic fractions and confidently adding and subtracting algebraic fractions. These foundational skills are vital for all levels of mathematics.  
• Solving a Wide Range of Equations
Discover the power of solving equations with our clear, methodical approach. We start with why solving equations is essential, then teach you effective strategies like the balance method and collecting like terms. You'll gain proficiency in changing the subject of an equation and solving equations that include brackets or two fractions. We also tackle equations with lots of fractions to ensure comprehensive understanding. Plus, learn to solve inequations and get an introduction to basic quadratic equations and other types of equations, expanding your problem-solving toolkit.  
• Conquering Simultaneous Equations
Get a solid introduction to simultaneous equations, understanding why they are a powerful tool for solving multiple unknowns. Learn to solve simultaneous equations by substitution and through various elimination methods, including eliminating by adding and subtracting, scaling up one equation, and scaling up two equations to find solutions. This section builds essential skills for more advanced mathematical challenges.

FOR A LIMITED TIME ONLY

Free

  • Build confidence and master the fundamentals of Calculus. Perfect for students and a great resource for teachers. Upgrade anytime.

    • 100% free. No credit card required.
    • Full access to all course videos and worksheets.
    • Build a strong math foundation with zero risk.
Free 30-Day Access

 "I enjoyed the structure of the questions and answers, and the quantity of questions that were available in order to practise the skills that I attained. I gained an understanding of algebra and calculus from a different angle than ways that I have been taught by previous teachers. Anyone who is looking to achieve in algebra and calculus and cannot attend school for any reason should definitely enroll in this course

Q. C. - Year 12 Student

Want the full 12-course experience? Check out the Complete Maths Courses Bundle.