# Tertiary Catalogue

## Series: Mathematics

### 60°, 30°, 90°, 45° Angles

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.

### Accuracy: 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 continuous data.

### Adding a Constant

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.

### Allied or Co-Interior Angles

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.

### Alternate Angle Theorem

This programme showcases the trickiest circle theorem, the alternate angle theorem. The teacher uses the analogy of a sail boat to simplify the process.

### Alternate Angles

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.

### An Introduction to Integration

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.

### Angle at the Centre Is Twice the Angle at the Circumference

This video demonstrates to students that the angle at the centre of a circle is twice the size of an angle at the circumference.

### Angle between a Radius and Tangent Is 90 Degrees

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.

### Angle Bisector

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.

### Angles in a Polygon

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.

### Angles in a Semicircle Equal 90 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.

### Angles in a Triangle

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.

### Angles in the Same Segment Are Equal

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.

### Applying the Differentiation of Trigonometric Functions

This video shows how to use the rules of differentiating trigonometric functions to solve different problems.

### Arc Length

This programme shows students how to calculate the arc length of a circle by using the circumference, radius, and π.

### Arc Length and Sectors

In this programme, students are taught to remember and use the formula for the length of an arc. Students also learn the formula for the area of a sector in a circle.

### Area of Sectors

In this video, students learn how to calculate the area of a sector of a circle using the angle provided, radius, and π.

### Area of Sectors (Advanced)

This video continues on from “Area of Sectors” providing a more advanced question where students are to find the area of a sector in a circle that is missing a segment.

### Area of Segments

A segment of a circle is found by drawing in a chord and then slicing off the smaller part of the circle. This programme shows students how to find the area of a segment of a circle.