Euclid's Muse

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Search Results for “Algebra”

By Irina Lyublinskaya
Bhaskara’s Proof
This app allows you to explore algebraic proof by the ancient Hindu mathematician Bhaskara, who used the properties of similarity to prove the theorem.

Tags: Pythagorean-Theorem, algebraic-proof, right-triangle, middle-school, similarity, ratio

By Irina Lyublinskaya
Garfield's Proof
This app allows you to explore the algebraic proof offered by James A. Garfield, the twentieth president of the United States. He discovered this proof five years before he became the President.

Tags: Pythagorean-Theorem, algebraic-proof, area, middle-school

By Larry Ottman
Vertical Dilations
This app allows students to experiment with vertical dilations of the typical root functions experienced in high school Algebra.  (F-BF 3)

Tags: Function, transformations, dilations, Common-Core, Algebra

By Larry Ottman
Horizontal Dilations
This app allows students to experiment with horizontal dilations of the typical root functions experienced in high school Algebra.  (F-BF 3)

Tags: Function, transformations, dilations, Common-Core, Algebra

By Larry Ottman
Horizontal Shift
This app allows students to experiment with horizontal translations of the typical root functions experienced in high school Algebra.  (F-BF 3)

Tags: Function, transformations, translations, Common-Core, Algebra

By Larry Ottman
Vertical Shift
This app allows students to experiment with vertical translations of the typical root functions experienced in high school Algebra. (F-BF 3)

Tags: Function, transformations, translations, Common-Core, Algebra

By Larry Ottman
Quadratic Zeros III
This app generates a pair of zeros randomly, then requires adjusting a quadratic function to match the graph to the zeros.

Tags: Quadratic, Function, zeros, roots, x-intercepts, Common-Core, Algebra

By Larry Ottman
Quadratic Zeros II
This app allows you to adjust the zeros of a quadratic function to match the factorization, then verify them with the general function.  The examples include more challenging factorizations (a not equal to 1).

Tags: Quadratic, Function, zeros, roots, x-intercepts, Common-Core, Algebra

By Larry Ottman
Quadratic Zeros
This app allows you to adjust the zeros of a quadratic function to match the factorization, then verify them with the general function.

Tags: Quadratic, Function, zeros, roots, x-intercepts, Common-Core, Algebra

By Larry Ottman
Residual Basics
This app allows you to experiment with a movable line on a given data set to find the placement with the smallest possible magnitude for the sum of the residuals. (S-ID 6b)

Tags: residuals, line, fit, function, Algebra, Statistics, Common-Core


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