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...

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...

Scientists at the Large Hadron Collider may have just discovered a new fundamental particle that could change the way we look at the universe. Is this Dark Energy? A giant Neutrino? The big brother of the Higgs Boson? Or could it be the...

Space is big, and it’s getting bigger. But where does all that new space actually come from? And is it popping into existence all around you right now? Is that why the remote control is always further away than I thought?

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...

Pupil outcome: I can explain the relationship across numerators and denominators in equivalent fractions. Key learning points: - In equivalent fractions the numerators will share a common factor and the denominators will share a common...

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...

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...

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...

Pupil outcome: I can use my knowledge of plans and elevations to solve problems. Key learning points: - The plans and elevations may be drawn to scale. - You can combine an isometric drawing with its plan and elevations to find missing...

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...

Pupil outcome: I can appreciate the structure that underpins multiplication of surds. Key learning points: - The square root operation is equivalent to the exponent 0.5 where the base is the term under the square root. - You can deduce...

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....

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...

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...

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...

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...

Pupil outcome: I can use the cosine ratio to find the missing side or angle in a right-angled triangle. Key learning points: - The cosine ratio involves the hypotenuse, adjacent and the angle. - If you know the length of the hypotenuse...

Pupil outcome: I can differentiate between shapes which are congruent or similar or neither. Key learning points: - If two shapes are congruent, then they are similar. - Congruent shapes have a scalar of one. - A ratio table can be a...

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...

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...

Pupil outcome: I can explain the relationship within families of equivalent fractions. Key learning points: - If the multiplicative relationship between the numerator and denominator is the same, the fractions will be equivalent. - In...

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. -...

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...