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.

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.

In this shorts video we will factor a quadratic to solve a problem. We will draw and label a picture to represent the problem. We will use a square to model perfect squares and support factoring a quadratic. This quadratic is a...

In this shorts math video we will factor using difference of squares to answer a standardized math test question. We will begin by identifying the first and last term are both perfect squares. We will identify the pattern of difference...

In this math video we will learn how to solve a nonlinear system of equations. We are given two equations - one is a quadratic equation and one is a linear equation - and four possible solutions. We are told that the system has one...

Reasoning with Equations and Inequalities
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HS.A-REI.D.11 Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y =...

A video entitled "Graph Key Quadratic Features" that covers the process of graphing a quadratic function using its intercepts and vertex.

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...

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...

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...

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...

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...

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...

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...

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...

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.

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...

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...

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...

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...

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...

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...

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...

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...