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Curated Video
The surface area of a sphere
Pupil outcome: I can calculate the surface area of a sphere. Key learning points: - There is a formula for the surface area of a sphere. - Demonstration allows you to see that this formula works. - The formula can be used to calculate a...
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
Checking and securing understanding of surface area of a cylinder
Pupil outcome: I can efficiently calculate the surface area of a cylinder. Key learning points: - Drawing the net of a cylinder helps deduce the formula for the surface area. - The formula can be used to find the surface area of any...
Curated Video
Checking and securing understanding of changing the subject with simple algebraic fractions
Pupil outcome: I can change the subject when a simple algebraic fraction is present in an equation or formula. Key learning points: - It is important to apply the inverse operations in the right order. - The subject can be thought of as...
Curated Video
Changing the subject where the variable appears in multiple terms
Pupil outcome: I can change the subject where the desired variable appears in multiple terms. Key learning points: - The variable to become the subject may appear in more than one term. - It is possible the terms cannot be additively...
Curated Video
Checking and securing understanding of surface area of cuboids
Pupil outcome: I can efficiently calculate the surface area of cubes and cuboids. Key learning points: - The surface area of a solid is the sum of the area of all the faces. - The net of a cuboid can help find the surface area. - The...
Curated Video
Surface area of a frustum of a cone
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...
Curated Video
Surface area of composite solids
Pupil outcome: I can calculate the surface area of a composite solid. Key learning points: - The surface area of a composite solid is found by summing the area of all faces. - The faces may not always be the same shape. - The surface...
Curated Video
Changing the subject to suit the context
Pupil outcome: I can evaluate different problems to ascertain when rearranging a formula is beneficial. Key learning points: - Formulae are used in a variety of places, such as the science lab but also in factories. - Rearranging the...
Curated Video
Advanced problem solving with further surface area and volume
Pupil outcome: I can use my enhanced knowledge of surface area and volume to solve problems. Key learning points: - The surface area of any solid can be calculated by a known method. - The volume of any solid can be calculated by a known...
Curated Video
Forming equations involving complex shape calculations
Pupil outcome: I can form and solve equations involving complex shapes and solids. Key learning points: - There are a variety of approaches to calculations involving shapes. - There are many skills you will need, such as algebraic...
Curated Video
Advanced problem solving with algebraic manipulation
Pupil outcome: I can use my knowledge of algebraic manipulation to solve problems. Key learning points: - Quadratic equations can model real-life situations. - Solutions would need to be interpreted in context. - The difference of two...
Curated Video
Checking and securing understanding of surface area of other prisms
Pupil outcome: I can efficiently calculate the surface area of other prisms. Key learning points: - The surface area of a prism is the sum of the area of all the faces. - The net of a prism can help find the surface area of a prism but...
Curated Video
The surface area of a pyramid
Pupil outcome: I can calculate the surface area 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. - Although the base is a polygon,...
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
Surface area of cuboids
Pupil outcome: I can appreciate the concept of surface area and find the surface area of cuboids. Key learning points: - The surface area of a 3D shape is the sum of the area of all the faces. - The net of a cuboid can help find the...
Curated Video
Problem solving with further surface area and volume
Pupil outcome: I can use my enhanced knowledge of surface area and volume to solve problems. Key learning points: - The surface area of many solids can be calculated by a known method. - The volume of many solids can be calculated by a...
Curated Video
Problem solving with algebraic manipulation
Pupil outcome: I can use my knowledge of algebraic manipulation to solve problems. Key learning points: - Quadratic equations can model real-life situations. - Solutions would need to be interpreted in context. - The difference of two...
Curated Video
Surface area of cylinders
Pupil outcome: I can find the surface area of cylinders. Key learning points: - Drawing the net of a cylinder helps deduce the formula for the surface area. - The formula can be used to find the surface area of any cylinder. - Unknown...
Curated Video
Problem solving with perimeter, area and volume
Pupil outcome: I can use my knowledge of perimeter, area and volume to solve problems. Key learning points: - The volume and surface area of shapes made from prisms and cylinders can be found. - The volume and surface area of shapes made...
Curated Video
Surface area of prisms
Pupil outcome: I can find the surface area of 3D shapes in an efficient way. Key learning points: - The surface area of a 3D shape is the sum of the area of all the faces. - The net of a prism can help find the surface area of a prism...
Curated Video
Dimensional Change 3 (advanced applications)
In this video, we investigate how changing the linear dimensions of a three dimensional solid affects the volume and surface area. Specifically, how do we solve for missing values (like side length, volume and surface area) when we are...
Curated Video
Changes to Volume and Surface Area
In this video, we investigate how changing the linear dimensions of a 3d solid will affect the volume and surface area. After a dilation of a certain scale factor, how can that scale factor be used to predict the new volume or surface...
Curated Video
Dimensional Change 2 (practice and applications)
In this video, we practice calculating how volume and surface area would change as we change the linear dimensions of 3d figures.