Physics progresses by breaking our intuitions, but we’re now at a point where further progress may require us to do away with the most intuitive and seemingly fundamental concepts of all—space and time.

In this Grade 6 math lesson, we review how to find which of four points is a given distance from a graphed point on the coordinate plane. You’ll learn how to determine distances when moving right, left, up, and down from a given point....

Pupil outcome: I can solve problems involving missing coordinates Key learning points: - Coordinate grids are not always presented with grid lines, and the axes are not always fully-labelled. - When this is the case, it is essential to...

Pupil outcome: I can explain how negative numbers are used on a coordinate grid. Key learning points: - Coordinates can include negative values - The x or horizontal value is always the first value in a coordinate - The y or vertical...

Pupil outcome: I can draw and complete simple shapes by plotting positions on the full coordinate grid. Key learning points: - The horizontal distance or coordinate is given first when describing positions on a coordinate grid. - If the...

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 mark points specified as a translation from the origin. Key learning points: - Use knowledge of polygon properties to identify a missing vertex. - Use known coordinates to plot a missing coordinate.

Pupil outcome: I can use Pythagoras' theorem to find the length of any side of a right-angled triangle. Key learning points: - The sum of the squares of the two shorter sides equals the square of the longest side. - The longest side is...

Pupil outcome: I can recognise a circle as a collection of points equidistant from a fixed point. Key learning points: - A pair of compasses can be used to draw circle with a particular radius. - All the points on the circle will be the...

Pupil outcome: I can calculate the length of a line segment on a coordinate grid in all four quadrants or using the coordinate pairs. Key learning points: - Any line segment can be turned into a right-angled triangle by adding two lines...

Pupil outcome: I can understand how maths is used in the media industry. Key learning points: - Forced perspective can be achieved with scaling - Animators use coordinate geometry to animate images

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 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 calculate perimeter and area of shapes on coordinate grids. Key learning points: - Shapes on coordinate grids do not often have their measurements clearly written. - Instead, you are expect to calculate the desired...

Pupil outcome: I can plot coordinates in the first quadrant. Key learning points: - Coordinates can be plotted in the first quadrant. - Shapes can be described using coordinates. - Moving all the points of a shape using the same rule...

Pupil outcome: I can plot coordinates in any quadrant. Key learning points: - Coordinates can be plotted in quadrants two and four. - Coordinates can be plotted in the third quadrant. - Shapes can plotted in one quadrant. - Shapes can be...

Pupil outcome: I can describe and plot coordinates, including non-integer values, in all four quadrants. Key learning points: - Coordinates with any values can be plotted. - Coordinates can be described in all four quadrants. - Shapes...

Pupil outcome: I can use my knowledge of similarity and Pythagoras' theorem to solve problems. Key learning points: - Right-angled triangles can be seen in real-life (e.g. ladder against a vertical wall). - A ratio table can help you...

In this video, we will dilate figures on the coordinate plane when the center of dilation is not the origin. The first example is a standard dilation (enlargement) with a non-origin center, and the second example gives you both the...

In this video, we learn how to dilate figures from the origin. We do one example that is an ENLARGEMENT (has a scale factor greater than 1), and another example that is a REDUCTION (scale factor that is between 0 and 1).

This video explains what coordinates in maths are and how to plot them on a graph. Practice questions and answers at the end of the video.

This video explains the concept of translation in mathematics using the analogy of an ice skater gliding across the ice. It demonstrates two methods for translating figures on a coordinate plane, emphasizing the importance of maintaining...

Mr. Addit explains what it means to plot points on a coordinate grid using ordered pairs. He models plotting points on a coordinate grid.

Mr. Addit reviews symmetry, reflections, and coordinate grids.