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Why is pi here? And why is it squared? A geometric answer to the Basel problem
A beautiful solution to the Basel Problem (1+1/4+1/9+1/16+...) using Euclidian geometry. Unlike many more common proofs, this one makes it very clear why pi is involved in the answer.
3Blue1Brown
Why is pi here? And why is it squared? A geometric answer to the Basel problem
A beautiful solution to the Basel Problem (1+1/4+1/9+1/16+...) using Euclidian geometry. Unlike many more common proofs, this one makes it very clear why pi is involved in the answer.
Curated Video
Using Similar Triangles to Find an Unknown Angle | HS.G-SRT.B.5
In this short video we will answer a standardized math test question using similar triangles to find a unknown angle. We will begin by reviewing the definition of similar figures. We will identify the corresponding angles and use the...
Curated Video
Using Similarity | HS.G-SRT.A.3
In this shorts video we will answer a standardized math test question using similarity. We will begin by identifying key information given in the problem and by defining similar figures. We will use this definition to identify the...
Curated Video
Find an Unknown Side Length | HS.G-SRT.B.5
In this shorts video we will find an unknown side length. We are given a pair of triangles and told they are similar figures. Using the definition of similar figures, similar figures have corresponding sides that are proportional, we...
Curated Video
Similar Triangles & Proportionality | HS.G-SRT.B.5
In this short math video we will discuss similar triangles & proportionality. We will understand that if two figures are similar that their corresponding sides are proportional. We will identify the corresponding sides and write a...
Curated Video
Astrophysicist
Pupil outcome: I can understand how maths is used by astrophysicists. Key learning points: - It may not be practical to physically land on different planets - It is possible to use trigonometry to determine terrain features - This is...
Curated Video
Describing an enlargement
Pupil outcome: I can understand the minimum information required to describe an enlargement Key learning points: - The scale factor is the multiplier. - The centre of enlargement defines where the image will be placed in relation to the...
Curated Video
Identify and describe the relationship between irregular polygons using scale factors
Pupil outcome: You can identify and describe the relationship between two irregular 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...
Curated Video
Ratios in line segments on coordinate axes
Pupil outcome: I can use ratios to divide a line segment and find the coordinates of a point on the line. Key learning points: - Your knowledge of ratios can be applied here. - The ratio can be applied to both the x and y distances. -...
Curated Video
Geometric Mean with Similar Triangles
In this video, we investigate how and why geometric mean can be used to find missing side lengths in certain triangles.
Curated Video
GCSE Maths - Congruent Triangle Rules #103
This video explains how to tell whether 2 triangles are congruent using 4 rules: SSS, SAS, AAS, RHS.
This video is suitable for maths courses around
the world.
KS3 - Not
on your course
GCSE Foundation -
All on...
This video is suitable for maths courses around
the world.
KS3 - Not
on your course
GCSE Foundation -
All on...
Curated Video
Similar Triangles & Slope | 8.EE.B.6
In this math video we will discuss similar triangles & slope. We will be presented with the graph of a line and two triangles arranged with their longest side on the line. We will have four statements to choose the one statement that...
Curated Video
Dimensions of Similar Triangles | 8.G.A.4
In this math video we will determine the correct dimensions of similar triangles. We will begin by reviewing the definition of similar figures. Similar figures have corresponding angles that are congruent and corresponding sides that are...
Curated Video
Conformal Cyclic Cosmology
Nobel Laureate Roger Penrose, University of Oxford, summarizes the core aspects of his theory of Conformal Cyclic Cosmology (CCC).
Zach Star
Is there (always) a line that passes through exactly 2 points?
Is there (always) a line that passes through exactly 2 points?
Curated Video
Angles of Triangles and Similarity
In this video, the teacher reviews how to find angles in triangles using the triangle angle sum theorem. The teacher walks through four parts of a standardized math test question, showing step-by-step how to find missing angle...
Curated Video
Similar Figures, Angle-Angle Similarity and Indirect Measurement
In this video lesson, we explore similar figures and indirect measurement in math. We learn about corresponding sides and angles, how to use similarity to solve problems, and even how to find the height of an object using indirect...
Curated Video
Finding Coordinates of Points on a Straight Line Using Similar Triangles
In this video, students learn how to find the coordinates of points along a straight line using similar triangles. They are taught to set up ratios with the vertical side (rise) first and the horizontal side (run) second.
KnowMo
Circle Theorems Extension: Intersecting Chords and Beyond
This video is a comprehensive lesson on circle theorems, including an extension on the topic. The presenter covers the key four circle theorems that students should know, including the arrow shape, bow shape, quadrilateral, and...
Curated Video
Using Similarity Criteria to Find the Distance Across a Canyon
In this lesson, students learn how to solve real-world problems involving similarity criteria. Using the example of finding the distance across a canyon, they apply the vertical angle theorem and angle-angle similarity postulate to...
Curated Video
Prove the Pythagorean Theorem: using similar triangles
In this lesson you will learn how to prove the Pythagorean Theorem by using similar triangles.
Curated Video
Deriving the Equation Y = MX Using Similar Triangles
In this video, the teacher explains the concept of Y equals MX and where it comes from. They use the idea of similar triangles to derive the equation. The lesson emphasizes that the equation represents a line passing through the origin...
Curated Video
Finding Missing Measures in Triangles
In this video, the teacher explains how to find missing measures in triangles using congruence and similarity criteria. They cover different congruence criteria, such as side-side-side and angle-side-angle, as well as similarity criteria...