3Blue1Brown
Taylor series | Chapter 10, Essence of calculus
Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.
3Blue1Brown
Taylor series | Essence of calculus, chapter 11
Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.
Curated Video
Graph Key Quadratic Features
New ReviewA video entitled "Graph Key Quadratic Features" that covers the process of graphing a quadratic function using its intercepts and vertex.
Curated Video
Reading from graphs
Pupil outcome: I can read and interpret points from a graph to solve problems. Key learning points: - If you have one value, you can use a linear graph to find its pair. - The pair of values will satisfy the linear equation. - If the x...
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Factorising using the difference of two squares
Pupil outcome: I can factorise quadratics of the form x^2 + bx + c including using the difference of two squares. Key learning points: - When the coefficient of the x term is zero, you may still be able to factorise. - There is a...
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Solving a quadratic and linear pair of simultaneous equations graphically
Pupil outcome: I can relate the solutions (0, 1 or 2) of a linear and quadratic pair of simultaneous equations to the graphs of these equations. Key learning points: - You can use your knowledge of graphical representations to draw the...
Curated Video
Factorising a quadratic expression
Pupil outcome: I can factorise quadratics of the form x^2 + bx + c Key learning points: - The distributive law can be used to find the two factors of a quadratic expression with three non-zero terms. - An area model can be used to...
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Checking and securing understanding of interpreting graphs
Pupil outcome: I can read and interpret points from a graph to solve problems. Key learning points: - If you have one value, you can use a linear graph to find its pair. - The pair of values will satisfy the linear equation. - If the x...
Curated Video
Problem solving with non-linear graphs
Pupil outcome: I can use my knowledge of non-linear graphs to solve problems. Key learning points: - The shape of the graph can be used to identify the form of its equation. - If the graph has a context, then the solutions should be...
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Solving quadratic inequalities in one variable graphically
Pupil outcome: I can solve a quadratic inequality graphically. Key learning points: - A quadratic equation can be represented graphically - The solutions are where the graph cross the x axis - By studying the graph, you can see where the...
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Checking and securing understanding of drawing quadratic graphs
Pupil outcome: I can generate coordinate pairs for a quadratic graph from its equation and then draw the graph. Key learning points: - A table of values can be useful to identify coordinate pairs which satisfy the equation. - By...
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Introducing quadratic sequences
Pupil outcome: I can recognise the features of a quadratic sequence. Key learning points: - A quadratic sequence does not have a common difference. - The second differences between terms are equal.
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Advanced problem solving with non-linear graphs
Pupil outcome: I can use my knowledge of non-linear graphs to solve problems. Key learning points: - The shape of the graph can be used to identify the form of its equation. - Sketching the graph can help when solving problems. - Problem...
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Factorising quadratics of the form ax^2 + bx + c
Pupil outcome: I can factorise quadratics of the form ax^2 + bx + c. Key learning points: - For these cases, there are restrictions on how you decompose the x term. - Using the area model can show why this is. - By considering the...
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Exploring the shapes of graphs using technology
Pupil outcome: I can appreciate that different types of equations give rise to different graph shapes, identifying quadratics in particular. Key learning points: - There are many different types of equations. - You can plot the graph of...
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Solving quadratic inequalities algebraically
Pupil outcome: I can solve a quadratic inequality algebraically. Key learning points: - The solutions to the quadratic equation can be found using one of your known methods - By sketching the graph, it is easy to define the solution set...
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Quadratic sequences
Pupil outcome: I can find the n^th term formula for a quadratic sequence. Key learning points: - A quadratic sequence does not have a common difference. - The second differences between terms are equal. - The general n^th term formula is...
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Solve this question using the concepts of Quadratic Equations.
Welcome to our complete high school mathematics tutorial series! Whether you’re a student preparing for exams, a teacher seeking additional resources, or a parent helping your child succeed in math, these videos cover a wide range of...
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Factorization using the Cross Method
Welcome to our complete high school mathematics tutorial series! Whether you’re a student preparing for exams, a teacher seeking additional resources, or a parent helping your child succeed in math, these videos cover a wide range of...
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The Fibonacci Sequence
How Fibonacci came up with his sequence, and how it is repeated throughout nature, from flower's petals to snails' shells – and how it has inspired the financial and computing industries. Maths - Number A Twig Math Film. Reinforce and...
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India and Negative Numbers
Discover when and why negative numbers were developed, and the simple rules that govern their use. Maths - History Of Maths A Twig Math Film. Reinforce and extend the learning required by the curriculum. Twig’s context films show...
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Coordinate Geometry: Descartes
The development of the Cartesian Coordinates system, and linear and non-linear equations, by the mathematician who fled the small hometown that now reveres him. Maths - History Of Maths A Twig Math Film. Reinforce and extend the learning...
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The Babylonians and Plimpton 322
Why the depiction of Babylonian numerals matches numeral systems the world over, and how this allows us to decipher their mathematical knowledge. And see what homework Babylonian pupils were set thousands of years ago! Maths - History Of...
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The Quadratic Formula Explained
This video explains how to solve a quadratic equation using the quadratic formula. We also explain what the discriminant is. Practice questions and solutions are at the end of the video.