Instructional Video27:52
Curated Video

Constructing a triangle given three side lengths using compasses

Pre-K - Higher Ed
Pupil outcome: I can construct a triangle given the three required side lengths. Key learning points: - The first side can be drawn accurately with a ruler - A pair of compasses should be used to indicate potential positions for the...
Instructional Video28:23
Curated Video

Using the scale factor for enlarging an area

Pre-K - Higher Ed
Pupil outcome: I can calculate the scale factor used to enlarge an area and use it to find missing lengths. Key learning points: - You can calculate the scale factor from the two areas. - Having calculated the scale factor, you can find...
Instructional Video28:21
Curated Video

The effect of enlargement on the perimeter of a shape

Pre-K - Higher Ed
Pupil outcome: I can understand the effect of an enlargement on the perimeter of a shape. Key learning points: - An enlargement means the object and image are similar. - All lengths in the object have been multiplied by the scale factor....
Instructional Video28:27
Curated Video

Advanced problem solving with further transformations

Pre-K - Higher Ed
Pupil outcome: I can use my enhanced knowledge of transformations to solve problems. Key learning points: - By understanding what changes and what is invariant, you can determine whether a transformation has occurred. - Sometimes you...
Instructional Video27:43
Curated Video

Problem solving with transformations

Pre-K - Higher Ed
Pupil outcome: I can use my knowledge of transformations to solve problems. Key learning points: - By understanding what changes and what is invariant, you can determine whether a transformation has occurred. - Sometimes you might need...
Instructional Video27:39
Curated Video

Describing an enlargement

Pre-K - Higher Ed
Pupil outcome: I can understand the minimum information required to describe an enlargement Key learning points: - The scale factor is the multiplier. - The centre of enlargement defines where the image will be placed in relation to the...
Instructional Video28:07
Curated Video

Transformed objects

Pre-K - Higher Ed
Pupil outcome: I can identify whether a shape has been transformed or not. Key learning points: - There are clues that can be looked for to determine if a shape has been transformed. - If the size has changed, one shape may be an...
Instructional Video30:02
Curated Video

Transforming graphs: combinations of transformations

Pre-K - Higher Ed
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...
Instructional Video29:26
Curated Video

Surface area of a frustum of a cone

Pre-K - Higher Ed
Pupil outcome: I can calculate the surface area of a frustum of a cone. Key learning points: - The frustum of a cone can be thought of as a cone with the top missing. - Calculating the surface area for the frustum of a cone is a similar...
Instructional Video29:32
Curated Video

Identifying multiple transformations

Pre-K - Higher Ed
Pupil outcome: I can identify what transformations have taken place. Key learning points: - More than one transformation may have taken place. - If the size has changed, one shape may be an enlargement of the other. - If the orientation...
Instructional Video29:26
Curated Video

Tangent ratio

Pre-K - Higher Ed
Pupil outcome: I can derive the tangent ratio from the sides of a right-angled triangle. Key learning points: - When the adjacent has a length of one, the opposite side has a length of tan⁡(θ). - You can apply a scale factor to this...
Instructional Video29:35
Curated Video

Explain how making a factor 10 times the size affects the product

Pre-K - Higher Ed
Pupil outcome: I can explain how making a factor 10 times the size affects the product Key learning points: - If one factor is made ten times the size, the product will be ten times the size. - One factor has been multiplied by 10 so the...
Instructional Video30:48
Curated Video

Scaling the right-angled triangle from the unit circle

Pre-K - Higher Ed
Pupil outcome: I can recognise the right-angled triangle within a unit circle and use proportion to scale to similar triangles. Key learning points: - There are specific ratios within the two key right-angled triangles defined by the...
Instructional Video30:25
Curated Video

Identify and describe the relationship between irregular polygons using scale factors

Pre-K - Higher Ed
Pupil outcome: You can identify and describe the relationship between two irregular polygons using scale factors Key learning points: - Two similar shapes can be described as being 'x' times greater or smaller than each other. - If one...
Instructional Video30:53
Curated Video

Ratios in line segments on coordinate axes

Pre-K - Higher Ed
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. -...
Instructional Video30:50
Curated Video

Transforming graphs: y = f(ax)

Pre-K - Higher Ed
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...
Instructional Video31:00
Curated Video

The volume of a pyramid

Pre-K - Higher Ed
Pupil outcome: I can calculate the volume of a pyramid. Key learning points: - There are many different types of pyramid. - The apex of the pyramid is not necessarily above the centre of the base. - The formula for the volume of a...
Instructional Video30:09
Curated Video

Multiple transformations

Pre-K - Higher Ed
Pupil outcome: I can carry out multiple transformations on a shape. Key learning points: - A shape can be transformed more than once. - The first transformation is performed on the object. - The second transformation is performed on the...
Instructional Video32:43
Curated Video

Problem solving with graph transformations

Pre-K - Higher Ed
Pupil outcome: I can use my knowledge of graph transformations to solve problems. Key learning points: - Your knowledge of identifying transformations of shapes can be applied to graphs - This allows you to identify what transformations...
Instructional Video31:32
Curated Video

Problem solving with advanced similarity knowledge

Pre-K - Higher Ed
Pupil outcome: I can use my knowledge of similarity to solve problems. Key learning points: - A scaled version of a shape/object is very useful. - Being able to scale the perimeter/area/volume can reduce the number of calculations. -...
Instructional Video31:29
Curated Video

Sine and cosine ratios

Pre-K - Higher Ed
Pupil outcome: I can derive the sine and cosine ratios from the sides of a right-angled triangle. Key learning points: - When the hypotenuse has a length of one, the opposite side has length sin⁡(θ) - When the hypotenuse has a length of...
Instructional Video33:43
Curated Video

Checking and securing understanding of similar triangles

Pre-K - Higher Ed
Pupil outcome: I can recognise that similar shapes have sides in proportion to each other but angle sizes are preserved. Key learning points: - An enlargement means a change in size. - The lengths of the lines may change when enlarged. -...
Instructional Video33:26
Curated Video

Investigating transformations with GeoGebra

Pre-K - Higher Ed
Pupil outcome: I can investigate transformations using dynamic software Key learning points: - Dynamic software is a tool that can be used to explore transformations. - There are many benefits to using this tool. - Different...
Instructional Video33:11
Curated Video

Checking understanding of similarity

Pre-K - Higher Ed
Pupil outcome: I can enlarge a shape and can state what changes and what is invariant. Key learning points: - An enlargement means a change in size. - The lengths of the lines may change when enlarged. - The angles inside an object do...