Professor Dave Explains
Power Series Solutions Part 2: Frobenius Method
We just learned how to solve differential equations using power series. However the simpler approached we used assumed that all the functions involved are infinitely differentiable at the point we are expanding about. This will not...
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Adding numbers in standard form
Pupil outcome: I can appreciate the mathematical structures that underpin addition of numbers represented in standard form. Key learning points: - When adding numbers represented in standard form, place value is an important...
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Ordering numbers in standard form
Pupil outcome: I can compare and order numbers written in a mixture of standard, non-standard and not quite standard form. Key learning points: - It can be easier to compare numbers if they are all in standard form. - If all numbers are...
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Checking and securing understanding of writing small numbers in standard form
Pupil outcome: I can write very small numbers in the form A × 10^(−n), (where 1 ≤ A < 10) and appreciate the real-life contexts where this format is usefully used. Key learning points: - It is difficult to read very small numbers, due to...
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Subtracting numbers in standard form
Pupil outcome: I can appreciate the mathematical structures that underpin subtraction of numbers represented in standard form. Key learning points: - When subtracting numbers represented in standard form, place value is an important...
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Checking and securing understanding of writing large numbers in standard form
Pupil outcome: I can write very large numbers in the form A × 10^n, (where 1 ≤ A < 10) and appreciate the real-life contexts where this format is usefully used. Key learning points: - It is difficult to read very large numbers, due to...
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Writing small numbers in standard form
Pupil outcome: I can write very small numbers in the form A × 10^n, (where 1 ≤ A < 10) and appreciate the real-life contexts where this format is usefully used. Key learning points: - It is difficult to read very small numbers, due to...
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Multiplying numbers in standard form
Pupil outcome: I can appreciate the mathematical structures that underpin multiplication of numbers represented in standard form. Key learning points: - The commutative law allows the product of two numbers represented in standard form...
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Problem solving with standard form calculations
Pupil outcome: I can use my knowledge of standard form to solve problems. Key learning points: - It can be useful to have very large or very small numbers written in standard form. - Being able to perform arithmetic operations on numbers...
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Problem solving with standard form
Pupil outcome: I can use my knowledge of standard form to solve problems. Key learning points: - Standard form is used frequently in Science. - The exponent can tell you how large the number will be. - The exponent can tell you how small...
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Writing large numbers in standard form
Pupil outcome: I can write very large numbers in standard form and appreciate the real-life contexts where this format is usefully used. Key learning points: - It is difficult to read very large numbers, due to the number of digits...
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Dividing numbers in standard form
Pupil outcome: I can appreciate the mathematical structures that underpin division of numbers represented in standard form. Key learning points: - Equivalent fractions can be used to calculate the quotient when dividing with two numbers...
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Slope Intercept Form
Watch this video to learn how to take equations written in standard form and write them in slope intercept form!
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First Order Differential Equations - Practise Question 2
Welcome to our comprehensive series of Advanced High School Mathematics Tutorials! This series is perfect for students, teachers, and anyone looking to deepen their understanding of higher-level mathematics. Each video breaks down...
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How to solve cubic equations?
Welcome to our comprehensive series of Advanced High School Mathematics Tutorials! This series is perfect for students, teachers, and anyone looking to deepen their understanding of higher-level mathematics. Each video breaks down...
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The Power of the Sun
How do we know how powerful the Sun's energy is from here on Earth? Measuring the surface area of an imaginary giant sphere holds the answer. Maths - Shape A Twig Math Film. Reinforce and extend the learning required by the curriculum....
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The Biggest Number Ever
What is the biggest number ever used? Graham's number, discovered in the 1970s by mathematician Ron Graham, is so big as to be unfathomable. No one even knows what the first digit is – and a special form of notation is needed to describe...
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What Does the Internet Weigh?
What is the combined weight of all of the information on the internet? Mathematicians must work with the smallest particles of the Web to find out. Maths - Number A Twig Math Film. Reinforce and extend the learning required by the...
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Volume: Counting Stars
How many stars are there in the Universe? Astronomers calculate it the same way they would grains of sand on a beach... using volume. Maths - Measurement A Twig Math Film. Reinforce and extend the learning required by the curriculum....
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Solving an Equation of Second Degree in One Unknown Graphically and Algebraically: The Quadratic Formula
By the end of this learning object, the student will be able to: Use the quadratic formula to solve quadratic equation.
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Solving an Equation of Second Degree in One Unknown Graphically and Algebraically: Example on the Quadratic Formula
By the end of this learning object, the student will be able to: Use the quadratic formula to solve quadratic equation.
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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.
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Introduction to Quadratic Equations
This video introduces quadratic equations; how to identify quadratic equations, how to rearrange them into the standard form, and how to identify the specific terms. A range of practice questions and solutions are at the end of the video.
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Powers of Ten: Exponential and Number Form
In this math video we will consider powers of ten in exponential form and in number form. We will be presented with a table comparing valued in exponential form and number form. We will drag and drop the appropriate values that are...