A classic problem that Johann Bernoulli posed to famous mathematicians of his time, such as Newton, and how Bernoulli found an incredibly clever solution using properties of light.

A classic problem that Johann Bernoulli posed to famous mathematicians of his time, such as Newton, and how Bernoulli found an incredibly clever solution using properties of light.

In this short math video we will identify a linear equation in the real world. We will be given real world information about a plane beginning its descent. We will model this linear function on a graph and with an equation written in...

In this Algebra 1 video, students quickly analyze a table of values and four possible functions to determine which function best represents the data. We begin by noticing the domain increases by 1 each time, but the range does not have a...

In this Grade 8 math video, we’ll solve a real-world problem using a unit rate described in words and four different graphs. Step by step, we’ll model how to write the unit rate as an ordered pair, graph the point, and determine which...

Pupil outcome: I can estimate the gradient of a curved part of the graph by considering the gradient of a straight line connecting two points. Key learning points: - The gradient of a curve can be estimated. - You can estimate by drawing...

Pupil outcome: I can state the difference between interpolation and extrapolation and the limitations of each. Key learning points: - Interpolation can be used to estimate a value within the data set. - Extrapolation can be used to...

Pupil outcome: I can appreciate that there are two key elements to any linear relationship: rate of change and intercept point. Key learning points: - There is always a common difference in an arithmetic sequence. - There is always a...

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 interpret graphs that model real-life situations graphically. Key learning points: - Distance-time graphs can tell you about a journey. - By reading the graph, you can tell if there is mistake with it.

Pupil outcome: I can recognise that linear relationships have particular algebraic and graphical features as a result of the constant rate of change. Key learning points: - A linear graph can be described by its features. - All the...

Pupil outcome: I can recognise direct proportion graphically and can interpret graphs that illustrate direct proportion. Key learning points: - Direct proportion can be recognised graphically. - The equation of a direct proportion graph...

Pupil outcome: I can calculate time intervals and acceleration of sections of a speed/time graph. Key learning points: - In a speed-time graph, a horizontal line means the speed did not change during that time. - A slanted line means the...

Pupil outcome: I can interpret non-linear distance-time graphs. Key learning points: - Speed may not always be constant. - Acceleration may not always be constant. - Depending on the variables, multiple graphs can represent the same...

Pupil outcome: I can interpret and draw more real-life graphs. Key learning points: - Not all real-life graphs can be drawn using sections of different linear graphs. - The graphs are models, which means that we want them to be useful.

Pupil outcome: I can interpret and draw other real-life graphs. Key learning points: - Not all real-life graphs can be drawn using sections of different linear graphs. - The graphs are models, which means that we want them to be useful....

Pupil outcome: I can use my knowledge of graphing linear relationships to solve problems. Key learning points: - Real life relationships can be represented using a linear graph. - Real life problems can be solved using a linear graph. -...

This video solves a physics problem about a car accelerating on a circular track, demonstrating how to calculate its net linear acceleration and the angle it makes with the car's velocity.

In this math video we will be comparing two rates of change using words & a graph. We will be asked to identify who ran more miles in their first hour of their run. We will find the rate of miles ran in an hour. When reading the graph,...

In this math video we will complete the table of a linear relationship. We will understand that a linear relationship has a constant rate of change. This means that as y increases or decreases by the same constant rate, x will increase...

In this video, the teacher explains how to identify the slope and Y intercept of a linear function from a table using a standardized math test question as an example. They demonstrate how to find the slope and Y intercept by analyzing...

In this video, we explore the concept of domain restrictions in quadratic functions by analyzing real-life scenarios involving linear and quadratic functions. We learn about function notation, linear functions with constant rate of...

In this video, the teacher explains the concept of a recursive process by exploring patterns in linear and nonlinear relationships. They use examples of rectangles and l-shaped figures to demonstrate how the pattern can be extended and...

In this lesson, students will learn how to write a rule for a nonlinear function by recognizing patterns. They will explore linear and nonlinear functions, identifying common differences and patterns in tables of values. Through examples...