How one of the introductory ideas in a field called "measure theory" can be thought of in terms of musical harnomy and dissonance.

How one of the introductory ideas in a field called "measure theory" can be thought of in terms of musical harnomy and dissonance.

Today we’re going to take our first baby steps from hardware into software! Using that CPU we built last episode we’re going to run some instructions and walk you through how a program operates on the machine level. We'll show you how...

This video provides a clear and engaging explanation of negative numbers, starting with the concept that they are any number less than 0. The presenter uses relatable examples, such as imagining losing oranges from a bowl until there are...

Pupil outcome: I can explain how the value of a number relates to its position from zero. Key learning points: - Negative numbers are below zero on a vertical scale - Negative numbers are to the left of zero on a horizontal scale

Pupil outcome: I can use my knowledge of the laws of indices to solve problems. Key learning points: - The base could be a number, letter or combination of the two. - The laws are another way you can simplify an expression. - Plotting...

Pupil outcome: I can use the mathematical structures that underpin multiplication and division of negative integers. Key learning points: - Multiplication with negative numbers can be turned into a subtraction. - Division is the inverse...

Pupil outcome: I can solve problems involving positive and negative numbers in a range of contexts. Key learning points: - Scales on graphs and coordinate grids are the same as number lines. - Number lines model bridging through zero.

Pupil outcome: I can appreciate the features of an arithmetic sequence and be able to recognise one. Key learning points: - Finding the difference between each term can help you identify different types of sequence. - Sequences with a...

Pupil outcome: I can use the mathematical structures that underpin subtraction to add and subtract positive and negative integers. Key learning points: - Any subtraction can be re-written as an equivalent addition. - Subtracting a...

Pupil outcome: I can construct and solve linear inequalities from context. Key learning points: - Inequalities are very common in real life - They are used when a constraint is needed - An example could be ensuring you do not exceed your...

Pupil outcome: I can understand the minimum information required to describe a translation. Key learning points: - A translation can be described in terms of left/right and up/down. - To be more precise, it is useful to have a scale to...

Pupil outcome: I can substitute particular values into a generalised algebraic statement to find a sense of how the value of the expression changes. Key learning points: - Expressions and formulae in context can be evaluated for...

Pupil outcome: I can appreciate the structure of patterns and sequences. Key learning points: - Multiplication tables are an example of a sequence. - Sequences might have a specific difference which can be found. - Sequences can have a...

Learn how to solve inclined plane problems using Free Body Diagrams, force components, and Newton’s laws. Master tension, acceleration, and normal force calculations with step-by-step analysis

Understand the fundamental concepts of position and displacement in physics. This lesson introduces reference points, coordinate systems, and how to distinguish between distance and displacement using real-world motion examples and...

In this video, we solve three absolute value inequalities. The first example is pretty standard, the second example are what I would call "exceptions," meaning that one has no solutions, and the other has all real numbers as its solutions

Find all six trig ratios given a point on the terminal side of theta. In this video we work this common type of problem. We use the Pythagorean Theorem to find "r" (hypotenuse), and then use the given "x" (adjacent) and "y" (opposite) to...

Welcome to our complete C++ programming tutorial series, designed for beginners and anyone looking to strengthen their understanding of C++ coding! In this video series, we’ll cover everything you need to know to get started with C++,...

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...

Welcome to our in-depth Digital System Fundamentals and Computer Architecture Design tutorial series! Whether you're a student, engineer, or tech enthusiast, these videos cover everything you need to know about digital systems and the...

Financial Statement Analysis Example Part 2

In this video we walkthrough 3 limiting reactant practice problems step by step and show you how to solve them!