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3Blue1Brown
Feynman's Lost Lecture
This video recounts a lecture by Richard Feynman giving an elementary demonstration of why planets orbit in ellipses. See the excellent book by Judith and David Goodstein, "Feynman's lost lecture”, for the full story behind this...
MinutePhysics
Feynman's Lost Lecture (ft. 3Blue1Brown)
Check out Grant’s channel: 3blue1brown.
This video recounts a lecture by Richard Feynman giving an elementary demonstration of why planets orbit in ellipses. See the excellent book by Judith and David Goodstein,...
This video recounts a lecture by Richard Feynman giving an elementary demonstration of why planets orbit in ellipses. See the excellent book by Judith and David Goodstein,...
3Blue1Brown
How to lie using visual proofs
Time stamps:
0:00 - Fake sphere
proof
1:39 - Fake pi
= 4 proof
5:16 - Fake proof that all triangle
s are isosceles
9:54 - Sphere
"proof" explanation
15:09 - p
i = 4 "proof" explanation
16:57 - Triangle "proof"...
0:00 - Fake sphere
proof
1:39 - Fake pi
= 4 proof
5:16 - Fake proof that all triangle
s are isosceles
9:54 - Sphere
"proof" explanation
15:09 - p
i = 4 "proof" explanation
16:57 - Triangle "proof"...
3Blue1Brown
Feynman's Lost Lecture (ft. 3Blue1Brown)
This video recounts a lecture by Richard Feynman giving an elementary demonstration of why planets orbit in ellipses. See the excellent book by Judith and David Goodstein, "Feynman's lost lecture”, for the full story behind this lecture,...
Curated Video
Problem solving with constructions
Pupil outcome: I can use my knowledge of constructions to solve problems. Key learning points: - Shapes made from triangles can be constructed. - By investigation it is possible to accurately construct multiple polygons. - Shortest...
Curated Video
Applying constructions to loci problems
Pupil outcome: I can apply the rules for constructing angle and line bisectors to loci problems. Key learning points: - The perpendicular bisector of a line segment divides the line segment into two equal parts - The perpendicular...
Curated Video
Constructing angles of 90° and 45°
Pupil outcome: I can construct angles of 90° and 45°. Key learning points: - When constructing the perpendicular, you are constructing a 90° angle - Bisecting a 90° angle results in two angles, each measuring 45°
Curated Video
Perpendicular bisector of a line segment
Pupil outcome: I can use the properties of a rhombus to construct a perpendicular bisector of a line segment. Key learning points: - A rhombus can be constructed from two congruent isosceles triangles. - The diagonals of a rhombus meet...
Curated Video
Perpendicular to a given line through a given point
Pupil outcome: I can use the properties of a rhombus to construct a perpendicular to a given line through a given point. Key learning points: - A rhombus can be constructed from two congruent isosceles triangles. - This can be used to...
Curated Video
Checking and securing understanding of constructing a perpendicular to a given line through a point
Pupil outcome: I can use the properties of a rhombus to construct a perpendicular to a given line through a given point. Key learning points: - A rhombus can be constructed from two congruent isosceles triangles. - This can be used to...
Curated Video
The perpendicular from the centre of a circle to a chord bisects the chord
Pupil outcome: I can derive and use the theorem: the perpendicular from the centre of a circle to a chord bisects the chord. Key learning points: - A theorem is a statement that can be demonstrated to be true by accepted mathematical...
Curated Video
Checking and securing understanding of constructing the perpendicular bisector of a line segment
Pupil outcome: I can use the properties of a rhombus to construct a perpendicular bisector of a line segment. Key learning points: - A rhombus can be constructed from two congruent isosceles triangles - The diagonals of a rhombus meet at...
Curated Video
Constructing a triangle given two angles and the side length between them
Pupil outcome: I can construct a triangle given two angles and the side length between them. Key learning points: - The side can be drawn accurately with a ruler - Both angles should be accurately measured with a protractor - Where the...
Curated Video
Constructing a triangle given three side lengths using compasses
Pupil outcome: I can construct a triangle given the three required side lengths. Key learning points: - The first side can be drawn accurately with a ruler - A pair of compasses should be used to indicate potential positions for the...
Curated Video
Solving loci problems in context
Pupil outcome: I can solve problems involving a combination of loci. Key learning points: - Loci problems involve performing various constructions - The problem asks for these constructions within the context of the question - All...
Curated Video
Constructing a right-angled triangle given the length of the hypotenuse and one other side length
Pupil outcome: I can construct a right-angled triangle given the length of the hypotenuse and one other side length. Key learning points: - The shorter side can be drawn accurately with a ruler - The perpendicular through the end point...
Curated Video
Parallel and perpendicular lines on coordinate axes
Pupil outcome: I can solve problems involving parallel/perpendicular lines on coordinate axes. Key learning points: - Parallel lines have the same gradient. - The product of the gradients of two perpendicular lines is -1 - Your knowledge...
Curated Video
Problem solving with loci and constructions
Pupil outcome: I can use my knowledge of loci and constructions to solve problems. Key learning points: - Your knowledge of loci can be applied to your knowledge of bearings - Your knowledge of loci can be used to help solve area problems
Curated Video
Advanced problem solving with loci and constructions
Pupil outcome: I can use my knowledge of loci and constructions to solve problems. Key learning points: - Your knowledge of loci can be applied to your knowledge of bearings - Your knowledge of loci can be used to help solve area problems
Curated Video
Finding Circumcenters and Incenters of a Triangle Using Angle Bisectors, Perpendicular Bisectors, and Circles
In this lesson, students will learn how to find the circumcenter and incenter of a triangle using angle bisectors, perpendicular bisectors, and circles. They will understand the concept of different centers in a triangle and how they...
Brian McLogan
Geometry - How to Write a Proof of Congruent Triangles Using AAS
👉 Learn how to prove that two triangles are congruent. Two or more triangles are said to be congruent if they have the same shape and size. There are many postulates and theorems to determine whether two triangles are congruent. They...
Brian McLogan
Learn how to determine if there are 1 2 or no triangles
👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions,...
Curated Video
Using Circle Theorems: Focus on the Chord Bisector
This video is a lecture presentation on using circle theorems, with a focus on the chord bisector O. The presenter explains how a circle can be split into two segments by a chord, and how the perpendicular from the center to the chord...
Brian McLogan
Writing a proof for an acute triangle
👉 Learn how to write a proof given a triangle. A triangle is a polygon with three sides. A proof is a series of statements and reasons that establishes the truth of a mathematical claim(statement). To write a proof given a triangle, we...