PBS
How Many Universes Are There?
The universe is big, but it’s peanuts compared to the eternally inflating multiverse. But just how many universes are there? What are they like? And most importantly, what can they tell us about … aliens? Imagine it: the observable part...
PBS
Did Time Start at the Big Bang?
Our universe started with the big bang. But only for the right definition of “our universe”. And of “started” for that matter. In fact, probably the Big Bang is nothing like what you were taught. A hundred years ago we discovered the...
PBS
Anti-gravity and the True Nature of Dark Energy
We've come a long way in our understanding of dark energy. In previous episodes we've looked at how our universe is paradoxically flat and how dark energy is exponentially accelerating the expansion of the universe. Now, let's dive into...
Curated Video
Identify and describe the relationship between regular polygons using scale factors
Pupil outcome: You can identify and describe the relationship between two regular 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...
Curated Video
Enlarging objects
Pupil outcome: I can enlarge objects using information about the centre of enlargement and scale factor Key learning points: - Each length in the shape is multiplied by the scale factor - Each vertex in the object is a given distance...
Curated Video
Checking and securing understanding of drawing accurate scaled diagrams
Pupil outcome: I can draw an accurate scaled diagram using a suitable choice of scale. Key learning points: - Given the real measurements, a suitable scale factor can be chosen. - The scale factor should mean the scaled diagram is easy...
Curated Video
Problem solving with similarity
Pupil outcome: I can use my knowledge of similarity to solve problems. Key learning points: - A scaled version of a shape is very useful. - Being able to scale the perimeter can reduce the number of calculations. - Enlargement...
Curated Video
The effect of enlargement on the volume of a 3D shape
Pupil outcome: I can understand the effect of an enlargement on the volume of a 3D 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....
Curated Video
Checking and securing understanding of enlargement with positive integer scale factors
Pupil outcome: I can describe an enlargement and perform a given enlargement on an object. Key learning points: - Each length in the shape is multiplied by the scale factor. - Each vertex in the object is a given distance from the centre...
Curated Video
Enlargement using a negative scale factor
Pupil outcome: I can perform a given enlargement on an object. Key learning points: - Each length in the shape is multiplied by the scale factor. - Each vertex in the object is a given distance from the centre of enlargement. - This...
Curated Video
Checking and securing understanding of enlargement with positive fractional scale factors
Pupil outcome: I can describe an enlargement and perform a given enlargement on an object. Key learning points: - Each length in the shape is multiplied by the scale factor. - Each vertex in the object is a given distance from the centre...
Curated Video
Describing a negative enlargement
Pupil outcome: I can describe an enlargement. Key learning points: - If the image is the opposite side of the centre of enlargement and rotated 180°, there is a negative scale factor. - If the image has changed size, there has been an...
Curated Video
Using the scale factor for enlarging a volume
Pupil outcome: I can calculate the scale factor used to enlarge a volume and use it to find missing lengths. Key learning points: - You can calculate the scale factor from the two volumes. - Having calculated the scale factor, you can...
Curated Video
The effect of enlargement on the area of a shape
Pupil outcome: I can understand the effect of an enlargement on the area 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. -...
Curated Video
Describe the relationship between scale factors and perimeters of two shapes
Pupil outcome: I can describe the relationship between scale factors and side lengths and perimeters of two shapes. Key learning points: - If the lengths of the sides of a shape have been doubled, the perimeter will be double. - If the...
Curated Video
Using the scale factor for enlarging an area
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...
Curated Video
The effect of enlargement on the perimeter of a shape
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....
Curated Video
Describing an enlargement
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...
Curated Video
Problem solving with advanced similarity knowledge
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. -...
Curated Video
Checking and securing understanding of similar triangles
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. -...
Curated Video
Checking understanding of similarity
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...
Curated Video
Dilations from a Non-Origin Center
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...
Curated Video
Dilations from the Origin
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).
Curated Video
Modelling the Spitfire
Though the world's first model aircraft, a Spitfire, was built in a scale of 1:75, the resulting model would fit into the full-size equivalent more than 370,000 times over. Discover how scale is calculated in three dimensions. Maths -...