Pupil outcome: I can write coordinates for already marked points in the first quadrant of a coordinate grid. Key learning points: - Count along the x-axis and then the y-axis to find the coordinates for the marked point. - Coordinates...

Pupil outcome: I can generate coordinate pairs using the equation of a circle in the form x^2 + y^2 = r^2 and then draw the graph. Key learning points: - A table of values can be useful to identify coordinate pairs which satisfy the...

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 find the equation of the line from two coordinate pairs as well as from the gradient and one coordinate pair. Key learning points: - The gradient can be found from two points by considering the change in y over the...

Pupil outcome: I can extend my thinking to multiple linear inequalities with 2 variables and can show this can be solved graphically to find a solution set. Key learning points: - Multiple linear inequalities in two variables can be...

Pupil outcome: I can extend my thinking to a linear inequality with 2 variables and can show this can be solved graphically to find a solution set. Key learning points: - A linear inequality involving two variables can be graphed - A...

Pupil outcome: I can recognise the effect of applying a combination of transformations to a function. Key learning points: - Desmos is an effective tool for showing the effects of this transformation - The actual function itself does not...

Pupil outcome: I can identify the key features of an exponential graph. Key learning points: - A exponential graph has a distinct shape. - An exponential graph has one asymptote. - The laws of indices explain where this asymptote is.

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 use ratios to divide a line segment and find the coordinates of a point on the line. Key learning points: - Your knowledge of ratios can be applied here. - The ratio can be applied to both the x and y distances. -...

Pupil outcome: I can recognise the effect of applying the transformation y = f(ax) to a graph. Key learning points: - Desmos is an effective tool for showing the effects of this transformation - The actual function itself does not need...

Pupil outcome: I can identify the key features of a reciprocal graph. Key learning points: - A reciprocal graph has a distinct shape. - A reciprocal graph has two asymptotes. - Reciprocal graphs of the form y = k/x have the axes as their...

Pupil outcome: I can recognise that an arithmetic sequence can be shown graphically and how this relates to the equation of a linear graph and use this to find the n^th term formula. Key learning points: - The n^th term rule can be...

Pupil outcome: I can generate coordinate pairs for a reciprocal graph from its equation and then draw the graph. Key learning points: - Inverse proportion graphs are reciprocal graphs. - A table of values can be useful to identify...

Pupil outcome: I can recognise the effect of applying the transformation y = f(−x) to a graph. Key learning points: - Desmos is an effective tool for showing the effects of this transformation - The actual function itself does not need...

Pupil outcome: I can recognise the effect of applying the transformation y = af(x) to a graph. Key learning points: - Desmos is an effective tool for showing the effects of this transformation - The actual function itself does not need...

Pupil outcome: I can find the equation of a radius of a circle. Key learning points: - The equation of a circle gives the coordinates of the centre of the circle. - Using this and the coordinates of a point on the circle, you can...

In this video, students learn how to write coordinate pairs for points on a coordinate plane. The teacher explains the process of moving along the X and Y axes to determine the X and Y values of each point. The video also highlights...

In this lesson, students will learn how to solve a system of a quadratic and linear equation using substitution. They will understand that a system is a group of equations and its solution makes both equations true simultaneously.

In this video, the teacher explains how to use a graph to determine if a coordinate pair is a solution to an equation. They demonstrate this by graphing different equations and showing how to identify the points that satisfy the...

This video lesson teaches how to interpret graphs of proportional relationships. The teacher explains the concept of interpreting ordered pairs on a graph and how to write a sentence to explain what it means. The lesson also covers how...