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6. Binomial coefficient
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CC BY-NC-SA
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Let's put everything together. Get ready for a really powerful formula: the binomial coefficient (warning: you may need to watch this a few times!).

Subject:
Applied Science
Arts and Humanities
Computer Science
Graphic Arts
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Pixar
Author:
Disney Pixar
Khan Academy
Date Added:
07/14/2021
6 Cents. Humbug Glory Bank
Unrestricted Use
Public Domain
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Another mock bank note parodying the "shinplasters" of the 1837 panic. Such small-denomination notes were based on the division of the Spanish dollar, the dominant specie of the time. Hence they were issued in sums of 6 (more accurately 6 1/4), 25, 50, and 75 cents. These fractional notes proliferated during the Panic of 1837 with the emergency suspension of specie (i.e., money in coin) payments by New York banks on May 10 of that year. "Treasury Note" and "Fifty Cents Shin Plaster" (nos. 1837-9 and -11) also use the bank note format to comment on the dismal state of American finances. Unlike these, however, "Humbug Glory Bank" is actually the same size as a real note. The note is payable to "Tumble Bug Benton," Missouri senator and hard-money advocate Thomas Hart Benton, and is signed by "Cunning Reuben [Whitney, anti-Bank adviser to Jackson and Van Buren] Cash'r" and "Honest Amos [Kendall, Postmaster General and influential advisor to Van Buren] Pres't." It shows several coins with the head of Andrew Jackson at left, a jackass with the title "Roman Firmness," a hickory leaf (alluding to Jackson's nickname "Old Hickory"), and a vignette showing Jackson's hat, clay pipe, spectacles, hickory stick, and veto (of the 1832 bill to recharter the Bank of the United States) in a blaze of light. Above is a quote from Jackson's March 1837 farewell address to the American people, "I leave this great people prosperous and happy."|Copyrighted by Anthony Fleetwood, 1837.|Published at 89 Nassau Str. New York.|Signed facetiously: Martin Van Buren Sc.|The print was deposited for copyright on August 21, 1837, by Anthony Fleetwood, and published at the same address (89 Nassau Street) as "Capitol Fashions" (no. 1837-1), also an etching. The Library's impression (the copyright deposit proof) is printed on extremely thin tissue.|Title appears as it is written on the item.|Forms part of: American cartoon print filing series (Library of Congress)|Published in: American political prints, 1766-1876 / Bernard F. Reilly. Boston : G.K. Hall, 1991, entry 1837-10.

Subject:
History
U.S. History
Material Type:
Diagram/Illustration
Primary Source
Provider:
Library of Congress
Provider Set:
Library of Congress - Cartoons 1766-1876
Date Added:
06/13/2013
6.EE.A.1 Lesson 2
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CC BY-NC
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Students will evaluate numerical expressions with whole-number exponents.

Subject:
Mathematics
Material Type:
Lesson Plan
Author:
Angela Vanderbloom
Date Added:
07/05/2018
6.EE.A.1 Lesson 2 Remix
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Students will evaluate numerical expressions with whole-number exponents.

Subject:
Mathematics
Material Type:
Lesson
Author:
April Hamma
Date Added:
06/09/2022
6.EE,G Sierpinski's Carpet
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CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Take a square with area 1. Divide it into 9 equal-sized squares. Remove the middle one. What is the area of the figure now? Take the remaining 8 square...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/06/2013
6.EE Height Requirements
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

Subject:
Mathematics
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/06/2015
6.EEI.A.2.b,d
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CC BY-NC-SA
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Create and evaluate expressions involving variables and whole number exponents.

b. Evaluate expressions at specific values of the variables.

d. Write and evaluate algebraic expressions.

Subject:
Mathematics
Material Type:
Activity/Lab
Author:
Liberty Public Schools
Date Added:
04/12/2021
6.EEI.B.7
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CC BY-NC-SA
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Solve one-step equations
Solve one-step linear equations in one variable involving non-negative rational numbers.
*(guaranteeing only whole numbers)

Subject:
Mathematics
Material Type:
Activity/Lab
Author:
Liberty Public Schools
Date Added:
04/12/2021
6.EE,NS,RP; 8.EE,F Pennies to heaven
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: A penny is about $\frac{1}{16}$ of an inch thick. In 2011 there were approximately 5 billion pennies minted. If all of these pennies were placed in a s...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
03/17/2013
6.EE,RP 7.EE,RP Anna in D.C.
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CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Anna enjoys dinner at a restaurant in Washington, D.C., where the sales tax on meals is 10%. She leaves a 15% tip on the price of her meal before the s...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
03/17/2013
6.EE Seven to the What?!?
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: What is the last digit of $7^{2011}$? Explain. What are the last two digits of $7^{2011}$? Explain....

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/19/2013
#6 Fidget Spinner
Only Sharing Permitted
CC BY-NC-ND
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Coders create their own fidget spinner sprite using the paint editor and motion blocks to animate their fidget spinner when they press the start on tap trigger. The purpose of this project is to introduce coders to creating their own sprites and the start on tap trigger.

Subject:
Applied Science
Computer Science
Material Type:
Activity/Lab
Lesson
Provider:
Boot Up PD
Author:
Boot Up PD
Date Added:
09/23/2019
6.GM.A.1
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CC BY-NC-SA
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Find the area of polygons by composing or decomposing the shapes into rectangles or triangles.

Subject:
Mathematics
Material Type:
Activity/Lab
Author:
Liberty Public Schools
Date Added:
04/12/2021
6.G Nets for Pyramids and Prisms
Unrestricted Use
CC BY
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/06/2015
6.G Polygons in the Coordinate Plane
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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The vertices of eight polygons are given below. For each polygon: * Plot the points in the coordinate plane connect the points in the order that they a...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
09/08/2013