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Curated Video
Using the formula for the area of a circle
Pupil outcome: I can use the formula for the area of a circle to calculate either the area or a missing measurement. Key learning points: - The area of any circle can be found if the radius is known. - The radius can be calculated from...
Curated Video
Making cities greener
Pupil outcome: I can understand various approaches to improve local environments. Key learning points: - One approach could be improving walking or cycling routes - One approach could be creating new green spaces
Curated Video
Volume of composite solids
Pupil outcome: I can calculate the volume of a composite solid. Key learning points: - A composite solid can be decomposed to make the volume easier to calculate. - Completing the solid may be a more useful method. - Decomposing and...
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
Combining densities
Pupil outcome: I can combine compound measures, calculating overall density. Key learning points: - Two densities can be combined to give an overall density.
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Checking by estimating
Pupil outcome: I can estimate and check if solutions to problems are of the correct magnitude. Key learning points: - Estimation should give you an idea of the size of an answer. - It is useful to estimate the answer to calculations so...
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Rounding integers to significant figures
Pupil outcome: I can round integers to a required number of significant figures. Key learning points: - The first non-zero digit of a number is the first significant figure. - Once the first significant figure is identified you can find...
Curated Video
Rounding errors
Pupil outcome: I can appreciate the impact of rounding errors when using a calculator (or other technology), and the way that these can be compounded to result in large inaccuracies. Key learning points: - When given a rounded number you...
Curated Video
Calculating summary statistics from stem and leaf diagrams
Pupil outcome: I can calculate the mean, median, mode and range from a stem and leaf diagram. Key learning points: - The range can be calculated from a stem and leaf diagram. - The mode can be calculated from a stem and leaf diagram. -...
Curated Video
Using upper and lower bounds practically
Pupil outcome: I can consider a context and decide whether it is suitable to use the upper or lower bound for each value in a calculation. Key learning points: - When considering safety contexts, you want to be able to guarantee safety...
Curated Video
Advanced problem solving with rounding, estimation and bounds
Pupil outcome: I can use my knowledge of rounding, estimation and bounds to solve problems. Key learning points: - Rounding and estimation are practical maths skills. - Sometimes you will need to apply common sense to rounding in...
Curated Video
Accuracy of final answers
Pupil outcome: I can appreciate the accuracy in leaving an answer without carrying out the final operation. Key learning points: - There is always a choice regarding how you represent a value. - You need to consider the most suitable way...
Curated Video
Checking and securing understanding of volume of a cylinder
Pupil outcome: I can calculate the volume of a cylinder. Key learning points: - A cylinder is not a prism but has a similar structure. - The formula for the volume of a cylinder can be derived by using the formula for a prism. - This can...
Curated Video
The tangents from an external point are equal in length
Pupil outcome: I can derive and use the theorem: the tangents from an external point are equal in length. Key learning points: - A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and...
Curated Video
Estimating numerical calculations
Pupil outcome: I can estimate numerical calculations. Key learning points: - All numbers can be rounded to a given number of significant figures. - Estimating gives you an idea of the size of an answer in context. - To estimate an answer...
Curated Video
Checking and securing understanding of the parts of a circle
Pupil outcome: I can identify the parts of a circle, including finding the area and perimeter of a sector. Key learning points: - A chord splits the circle into two uneven pieces - The smaller piece is the minor segment and the larger is...
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
The volume of a cone
Pupil outcome: I can calculate the volume of a cone. Key learning points: - The volume of a cone can be found by displacement. - Putting a cone into a cylinder filled with water displaces the water. - When the cone is removed, the water...
Curated Video
The volume of a sphere
Pupil outcome: I can calculate the volume of a sphere. Key learning points: - The volume of a sphere can be found by displacement. - Putting a sphere into a cylinder filled with water displaces the water. - When the sphere is removed,...
Curated Video
Converting between other compound measures
Pupil outcome: I can convert between other compound measures. Key learning points: - The units for density can be converted to alternative units. - The units for pressure can be converted to alternative units.
Curated Video
Circumference of a circle
Pupil outcome: I can use the relationship C=πd to calculate unknown lengths in contexts involving the circumference of circles. Key learning points: - The formula can be used to find the circumference when you know the diameter. - The...
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
Dividing numbers in standard form
Pupil outcome: I can appreciate the mathematical structures that underpin division of numbers represented in standard form. Key learning points: - Equivalent fractions can be used to calculate the quotient when dividing with two numbers...
Curated Video
Multiplicative relationships in circles
Pupil outcome: I can recognise that there is a constant multiplicative relationship (π) between the diameter and circumference of a circle. Key learning points: - There is a multiplicative relationship between the radius and diameter of...