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.