This programme shows students how to construct 60° and 90° angles using a compass and ruler and then how derive 30° and 45° angles by bisecting each of them respectively.
In this video, the teacher demonstrates how to identify the maximum and minimum possible values of a number that has been rounded, and how to identify upper and lower bounds for continuous data.
In this video, the teacher demonstrates how to identify the maximum and minimum possible values of a number that has been rounded, and how to identify upper and lower bounds for discrete data.
This video shows students what adding a constant does to a graph. It shows the result of adding a positive or negative constant inside or outside the brackets of a parabola or cubic graph.
This video shows students how to add or subtract algebraic fractions, by first factorising the numerator and denominator in order to simplify the fractions and find the lowest common denominator.
The programme covers the concept of a pronumeral, numerical substitution, algebraic conventions, developing algebraic rules from number patterns and simplifying expressions. What better place to begin learning algebra than the kitchen? This lively programme provides a fun setting for students to take their first steps in algebra, including the use of a worksheet designed to be used at strategic points during the programme. It covers: - The concept of a pronumeral - Numerical substitution - Algebraic conventions such as the omission of the multiplication sign - Developing algebraic rules from number patterns - Terms, like terms and expressions - Simplifying expressions. Show Less
This program explains the basic concepts of algebra including number patterns, pronumerals, algebraic expressions, order of operations and expanding and simplifying. The natural and city landscapes of Asia are used to bring to life these abstract concepts for students who are new to algebra or refining their skills. Show Less
In this video students learn to divide polynomials using the 'grid' or 'inspection' method as an alternative to long division or equating coefficients.
This video demonstrates an alternative method for algebraic division that can be used when given a factor for a polynomial, equating the coefficients.
This video expands on students ability to divide polynomials, teaching them to divide polynomials by expressions with higher order powers.
Another winner in the Mathemania brand, this is a clear and concise explanation of algebraic notation. In this programme, we start with an introduction to algebraic notation then examine algebraic definitions and mathematical models, bringing it all together with the road test - creating a mathematical story. With clear explanations of pronumerals and their practical uses in everyday life, this is an engaging and educational programme perfect for Maths students. Show Less
This clip defines the mathematical concepts of constants and variables before going on to apply index laws to variables using positive integer indices and the zero index. Simplifying equations by adding, subtracting, multiplying and dividing indices are demonstrated. Ideal for introducing or reinforcing concepts. Show Less
This video explains how allied or co-interior angles on parallel lines add up to 180 degrees. To identify them, students must identify a C shape on parallel lines and in finding that, they are able to calculate the size of angles.
This programme showcases the trickiest circle theorem, the alternate angle theorem. The teacher uses the analogy of a sail boat to simplify the process.
This video demonstrates how to identify alternate angles by identifying a Z on parallel lines. In doing this, students are able to calculate the degrees of alternate angles.
This video gives an introduction about the process of integration, which is the inverse process of differentiation. It shows how to obtain the equation of a curve though the equation of its gradient.
We hear inequality phrases like "more than," "less than" and "in between" all the time. Join our hosts in the world of algebra as they explore what these expressions mean and what it means to analyse inequalities. Within the context of real-life scenarios, discover simple and compound inequalities, linear inequalities and systems of linear inequalities. See how an inequality is graphed -- on a number line if there is only one variable and on a coordinate plane if it is a linear inequality. Students will also learn about solving inequalities while being warned of common errors. With thoughtful explanations and animated graphs, students will enjoy this carefully paced programme. Show Less
This video demonstrates to students that the angle at the centre of a circle is twice the size of an angle at the circumference.
In this video, the teacher demonstrates another circle theorem in which the angle between the radius and tangent equals 90 degrees through the use of triangles and algebra.
This programme shows one of the keys skills needed in geometrical construction. It teaches students how to bisect acute and reflex angles using a compass and ruler.
The angles of a triangle add up to equal 180 degrees. In this video, students are taught how to find the angles in a polygon by splitting the polygon into triangles. This creates the formula for finding angles in a polygon; (n-2) x 180 degrees.
This programme introduces students to another circle theorem; that angles in a semicircle equal 90 degrees. These angles are made by placing a triangle in the semi-circle.
This video introduces the three types of triangles; scalene, isosceles and equilateral. Students learn the properties unique to each of these triangles and how to identify them.
Continuing on from "Angle at the Centre Is Twice the Angle at the Circumference", this programme shows students how angles in the same segment are equal by identifying "butterflies" within circles.
This video shows how to use the rules of differentiating trigonometric functions to solve different problems.