TED-Ed
TED-ED: How many ways are there to prove the Pythagorean theorem? - Betty Fei
What do Euclid, 12-year-old Einstein, and American President James Garfield have in common? They all came up with elegant proofs for the famous Pythagorean theorem, one of the most fundamental rules of geometry and the basis for...
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Real-Life Problems
New ReviewA video entitled "Real-Life Problems" which talks about right triangle situations in life.
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Pythagorean Theorem Is Useful
New ReviewA video entitled "Pythagorean Theorem is Useful" which talks about right triangle situations where it's appropriate to use the Pythagorean theorem.
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Pythagorean Theorem In Solids
New ReviewA video entitled "Pythagorean Theorem in Solids" which talks about how 2D right triangles can be found in many 3D figures.
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Examine Unknown Triangles
New ReviewA video entitled "Examine Unknown Triangles" that covers how to use the distance formula and the converse of the Pythagorean theorem to see if triangles are right triangles.
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Use Pythagorean Theorem
New ReviewA video entitled "Use Pythagorean Theorem" which gives real-life situations where the Pythagorean theorem can apply.
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Checking and securing understanding of Pythagoras' theorem
Pupil outcome: I can use Pythagoras' theorem to find the length of any side of a right-angled triangle. Key learning points: - The sum of the squares of the two shorter sides equals the square of the longest side. - The longest side is...
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Congruent triangles (RHS)
Pupil outcome: I can appreciate and use the criteria by which triangles are congruent (RHS). Key learning points: - For a right-angled triangle, you need the hypotenuse and one other side length to prove congruence. - Right-angled...
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Checking and securing understanding of cosine problems
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...
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Calculating the length of a line segment
Pupil outcome: I can calculate the length of a line segment on a coordinate grid in all four quadrants or using the coordinate pairs. Key learning points: - Any line segment can be turned into a right-angled triangle by adding two lines...
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Checking and further securing understanding of Pythagoras' theorem
Pupil outcome: I can use Pythagoras' theorem to calculate the length of a side of a right-angled triangle. Key learning points: - The sum of the squares of the two shorter sides equals the square of the longest side - The longest side is...
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Applying trigonometric ratios in 3D
Pupil outcome: I can apply knowledge of trigonometric ratios to 3D problems. Key learning points: - If angles are involved, then you may wish to apply trigonometric ratios to the 3D problem - This allows you to calculate the angle...
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Applying Pythagoras' theorem in 3D
Pupil outcome: I can apply knowledge of Pythagoras' theorem to 3D problems. Key learning points: - For packing efficiency, it can be useful to know the length of the longest diagonal - This would be from a bottom corner of a rectangular...
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Using Pythagoras' theorem to justify a right-angled triangle
Pupil outcome: I can use Pythagoras' theorem to justify whether a triangle is right-angled. Key learning points: - For a triangle to be right-angled, Pythagoras' theorem must hold - By substituting in the three lengths, you can show...
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Using the cosine ratio
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...
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Checking and securing understanding of sine ratio problems
Pupil outcome: I can use the sine ratio to find the missing side or angle in a right-angled triangle. Key learning points: - The sine ratio involves the hypotenuse, opposite and the angle - If you know the length of the hypotenuse and...
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Using the sine ratio
Pupil outcome: I can use the sine ratio to find the missing side or angle in a right-angled triangle. Key learning points: - The sine ratio involves the hypotenuse, opposite and the angle. - If you know the length of the hypotenuse and...
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Pythagoras' theorem in context
Pupil outcome: I can use and apply Pythagoras' theorem to solve problems in a range of contexts. Key learning points: - Within context, it can be difficult to initially identify whether Pythagoras' theorem can be used. - Pythagoras'...
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Determining which side
Pupil outcome: I can identify which side length is missing and use the appropriate form of Pythagoras' theorem to calculate it. Key learning points: - The hypotenuse is the side opposite the right angle. - It does not matter which of the...
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Multiple approaches to logical arguments
Pupil outcome: I can construct a logical argument. Key learning points: - A logical argument does not have to only be algebraic. - Geometrical reasoning can be used to argue that something is true. - Values can be used to demonstrate...
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Sine and cosine ratios
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...
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Length of a shorter side
Pupil outcome: I can use Pythagoras' theorem to find the length of one of the shorter sides. Key learning points: - The sum of the squares of the two shorter sides equals the square of the longest side. - The difference between the...
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Length of the hypotenuse
Pupil outcome: I can use Pythagoras' theorem to find the length of the hypotenuse. Key learning points: - The sum of the squares of the two shorter sides equals the square of the longest side. - The longest side is always opposite the...
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Learn how to apply the Pythagoras Theorem!
Welcome to our complete high school mathematics tutorial series! Whether you’re a student preparing for exams, a teacher seeking additional resources, or a parent helping your child succeed in math, these videos cover a wide range of...