Maths at Home

Sine Rule for Area: Video Lesson What is the Sine Rule for Area? The sine rule for the area of a triangle is Area = ½ ab sinC, where ‘a‘ and ‘b‘ are two sides of a triangle and ‘C‘ is the angle in between them. The sine rule can be used to find the […]

Midpoint Between Two Points Video Lesson: What is the Midpoint? The midpoint of a line segment is the point that divides the line segment in two. The midpoint is located equally far from each end point. It can be calculated by finding the average of the coordinates of the end points. Add the 𝑥 and

Venn Diagrams with 3 Circles: Video Lesson What is the Purpose of Venn Diagrams? A Venn diagram is a type of graphical organizer which can be used to display similarities and differences between two or more sets. Circles are used to represent each set and any properties in common to both sets will be written

How to Find the Diagonal of a Rectangle Video Lesson: How to Find the Diagonal of a Rectangle Using the Pythagorean Theorem To find the diagonal of a rectangle using the Pythagorean Theorem, use the formula d = √(l² + w²), where l is the length and w is the width of the rectangle. For

Simplifying Surds Video Lessons: How to Simplify a Surd Simplifying Surds in Brackets What is a Surd? A surd is a number written as a root that cannot be simplified to a whole number. A surd is irrational, which means that if it were written as a decimal it would go on forever. For example,

Displacement, Velocity and Acceleration Differentiation: Video Lesson Definitions of Displacement, Velocity, Acceleration and Jerk Displacement is a vector quantity that is defined as the shortest distance between the initial and final position of an object. Distance is a scalar quantity and is the length of the total path taken by an object. Distance is only

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Solving Quadratic Equations: Video Lesson Quadratic Equation Solver A quadratic equation of the form can be solved using the quadratic formula where: ‘a’ is the coefficient of of 𝑥2. ‘b’ is the coefficient of 𝑥. ‘c’ is the constant term Enter the values of ‘a’, ‘b’ and ‘c’ into the quadratic equation solver below to

Sum to Infinity of a Geometric Series: Video Lesson What is the Sum to Infinity? The sum to infinity is the result of adding all of the terms in an infinite geometric series together. It is only possible to calculate the sum to infinity for geometric series that converge. This means that the size of

How to Change the Base of a Log: Video Lesson How to Change the Base of a Log To change the base of a logarithm from base ‘a’ to base ‘c’, use the change of base formula: loga(b)=[logc(b)]/[logc(a)]. For example, log3(81) written in base 5 is log5(81)/log5(3). The change of base rule converts a logarithm