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Curated Video
Problem solving with non-linear relationships
Pupil outcome: I can use my knowledge of non-linear relationships to solve problems. Key learning points: - If you can spot a sequence, it is possible to predict behaviour. - By predicting future behaviour, you can plan how to react. -...
Curated Video
Checking and securing understanding of non-linear sequences
Pupil outcome: I can appreciate that not all sequences are linear. Key learning points: - You can identify different types of sequences. - If there is a common difference, the sequence is arithmetic. - If there is a common ratio, the...
Curated Video
Extrapolating a sequence
Pupil outcome: I can appreciate that there are other number sequences and the limitations of only seeing a few terms of a sequence. Key learning points: - There are more sequences than the ones seen so far. - A numerical sequence is just...
Curated Video
Advanced problem solving with algebraic manipulation
Pupil outcome: I can use my knowledge of algebraic manipulation to solve problems. Key learning points: - Quadratic equations can model real-life situations. - Solutions would need to be interpreted in context. - The difference of two...
Curated Video
Shapes within shapes
Pupil outcome: I can express percentage shaded from shapes within shapes. Key learning points: - You can express a number as a fraction of another and therefore as a percentage. - If you have two areas, you can express one as a...
Curated Video
Graphing special number sequences using technology
Pupil outcome: I can plot the graph of a special number sequence. Key learning points: - Visual representations of a sequence can help with identification. - Special number sequences can produce interesting graphs.
Curated Video
Triangular Numbers Explained
This video explains what triangular numbers are and the patterns associated with them. Two puzzles are at the end of the video.
Curated Video
The Handshake Puzzle
The Handshake Puzzle: a classic mathematical puzzle coming from the topic of combinatorics, this will help develop problem-solving skills. This video provides a demonstration of how to solve the puzzle and asks learners to generalise...
Curated Video
How to Find the nth Triangular Number
This video explains how to find the nth triangular number, including a visual demonstration. Practice questions are at the end of the video.
KnowMo
Introduction to Common Sequences: Triangular, Square, and Cube Numbers
The video introduces viewers to three common types of sequences: triangular numbers, square numbers, and cube numbers. The presenter explains how each of these sequences is derived from specific geometric patterns and provides examples...
TED-Ed
The Mathematical Secrets of Pascal’s Triangle
This modern animation and discussion of the ancient secrets of Pascal's triangle manages to be topical, engaging, and mathematically deep all at the same time. A great introduction to the power of number theory across multiple math...
Corbett Maths
Triangular Numbers
Try teaching triangular numbers. Scholars watch a two-minute video to learn how to generate triangular numbers. They learn about the geometric interpretation of triangular numbers and how two consecutive triangular numbers have a sum...
PBS
Pbs Learning Media: Math in Fencing: Strategy & Connectivity
Learn about the competitive sport of fencing along with the resulting mathematical problems and equivalent expressions that help determine the number of matches played per tournament in this video from the Center for Asian American...
Other
Is All About Math: Triangular Numbers (Part I)
Triangular numbers are introduced in this video which shows how triangular numbers are found and then proceeds to explain Gauss' method for adding arithmetic sequences.
Other
Is All About Math: Triangular Numbers (Part Ii)
Continuing the podcast from Triangular Numbers (Part I), the Gaussian formula for summing numbers of an arithmetic sequence is derived with good explanation, and then used for a couple examples.
Other
Is All About Math: Triangular Numbers (Part Iii)
Continuing from Triangular Numbers (Part II), the podcast solves Gauss' formula for the sum of an arithmetic sequence. Recursive equations are explained heavily, and used in order to solve the Gauss formula.
Khan Academy
Khan Academy: Other Cool Stuff: The Gauss Christmath Special
Video explores triangular numbers and equivalent representations for numbers in the context of the song "The Twelve Days of Christmas."
Khan Academy
Khan Academy: Vi Hart: The Gauss Christmath Special
Video explores triangular numbers and equivalent representations for numbers in the context of the song "The Twelve Days of Christmas." [10:17]