Curated Video
The perpendicular from the centre of a circle to a chord bisects the chord
Pupil outcome: I can derive and use the theorem: the perpendicular from the centre of a circle to a chord bisects the chord. Key learning points: - A theorem is a statement that can be demonstrated to be true by accepted mathematical...
Curated Video
The tangents from an external point are equal in length
Pupil outcome: I can derive and use the theorem: the tangents from an external point are equal in length. Key learning points: - A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and...
Curated Video
Checking and securing understanding of circles
Pupil outcome: I can identify the parts of a circle and calculate the perimeter and area of a circle. Key learning points: - A chord splits the circle into two uneven pieces. - The smaller piece is the minor segment and the larger is the...
Curated Video
The angle in a semicircle is a right angle
Pupil outcome: I can derive and use the theorem: the angle in a semicircle is a right angle. Key learning points: - A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments - Theorems...
Curated Video
The tangent at any point on a circle is perpendicular to the radius at that point
Pupil outcome: I can derive and use the theorem: the tangent at any point on a circle is perpendicular to the radius at that point. Key learning points: - A theorem is a statement that can be demonstrated to be true by accepted...
Curated Video
The angle at the centre of the circle is twice the angle at any point on the circumference
Pupil outcome: I can derive and use the theorem: the angle at the centre of the circle is twice the angle at any point on the circumference. Key learning points: - A theorem is a statement that can be demonstrated to be true by accepted...
Curated Video
The angles in the same segment are equal
Pupil outcome: I can derive and use the theorem: the angles in the same segment are equal. Key learning points: - A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments - Theorems...
Curated Video
Problem solving with circle theorems
Pupil outcome: I can use my knowledge of circle theorems to solve problems. Key learning points: - Circle theorems can be used in situations involving circles - It is not always obvious that a circle theorem can be used - Sometimes you...
Great Big Story
The surprising origins of the hit song American Woman
Uncover the unexpected story behind the iconic song American Woman, and how it became a powerful anthem.
Music Matters
Making Your Harmony More Colourful with Pure Imagination - Composer Insights
An in-depth look at the song ‘Pure Imagination’ from ‘Willy Wonka and the Chocolate Factory’ as a means of exploring how extended chords can be used effectively and colourfully within a tonal framework. This composer insights lesson...
Music Matters
Is VI-I a Good Chord Progression? - Music Composition
Harmony text books often advise us to avoid using this particular chord progression. Why is that? This music composition lesson explains how this chord progression can create difficulties in the part writing with consecutive / parallel...
Music Matters
Writing a Melody Using 3 Components - Music Composition
We examine the first melodic idea that appears in the Overture of Mozart’s ‘Cosi fan tutti’ and analyze the three components of the phrase, showing the characteristics of each, how they contrast and how they fit together to provide...
Music Matters
When Should You Use Second Inversion Chords? - Music Composition
Why do second inversion chords demand special treatment? Starting with an explanation of why root position and first inversion chords are stable in themselves we are introduced to 6/4 5/3 progressions and passing 6/4 chords, as the...
Music Matters
What are Polychords? - Music Theory
Discover what polychords are and learn how polychords differ from extended chords. We consider how extended chords are given a functional context whereas polychords add colour to music without needing a functional context. The use of...
Music Matters
Using Chords in the Natural Minor - Music Theory
Many people are comfortable working in the harmonic and melodic keys when harmonising a melodic line but feel less assured doing the same in the natural minor. In this music theory lesson we explore which chords are major, which are...
Music Matters
Harmonizing a Melody Using the Natural Minor - Music Composition
Join us and learn how to harmonize a melody using the natural minor. We start by constructing the scale and the chords in D natural minor, before going on to observe the harmonization of a melody in D natural minor. We consider the...
Curated Video
Measuring Music
We use a sounding board called a sonometer to investigate how the pitch of sound changes when the length of wire being plucked changes. We change the position of a moveable bridge to change the length of the wire and discover that...
Curated Video
Parts of a Circle
This video explains the different parts of a circle such as the arc, segment and chord. Practice questions and answers are at the end of the video.
Curated Video
GCSE Maths - What are Chords, Segments, Arcs and Sectors? (Circles Part 2) #107
This video explains what chords, segments, arc and sectors are. These are all important parts of a circle that you need to know about. This video is suitable for maths courses around the world. KS3 - All on your course GCSE Foundation -...
Curated Video
GCSE Maths - Area of a Sector and Length of an Arc of a Circle (Circles Part 3) #108
This video explains how to find the area of a sector and the length of an arc. This video is suitable for maths courses around the world. KS3 - Not on your course GCSE Foundation - All on your course GCSE Higher - All on your course...
Music Matters
Interpreting Schubert's Impromptu in A-flat Major D.935 for Piano - Piano Interpretation
Understanding and interpreting your piano music allows you to bring your own unique flair and personality to a piece. Here we explore the famous Ab Impromptu by Schubert, considering the key elements of interpretation. An overview is...
Music Matters
Interpreting Debussy's Arabesque No.1 for Piano - Piano Interpretation
Understanding and interpreting your piano music allows you to bring your own unique flair and personality to a piece. Here we investigate this famous Arabesque written by Debussy during his early career and explore the hints of the...
Music Matters
How to Harmonize a Fast Moving Melody - Music Composition
Discover how to harmonise a fast moving melody with chords. The temptation is to harmonise every note, resulting in a harmonic rhythm that moves too quickly. We explore how to determine which notes are harmony notes / chord tones and...
Music Matters
Extended Chords in Four-Part Harmony - Music Composition
How to extend basic triads into chords using added 7ths, 9ths, 11ths and 13ths. Having considered how to construct these chords we explore how to use extended chords in four part harmony, discovering which notes we can omit from each...