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STANDARD 13 — ALGEBRA K-12 We develop an understanding of algebraic concepts and processes and use them to represent and analyze relationships among variable quantities and to solve problems.

Algebra By Third Grade

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Third grade reading scores accurately predict the number of prison beds needed in the future

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Page 1: Algebra By Third Grade

STANDARD 13 — �ALGEBRA K-12

We develop an understanding of algebraic concepts and processes and use them to represent and analyze relationships among variable quantities and to solve problems.

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Meaning and Importance� The Language of Algebra �

Algebra is the language of patterns and relationships through which much of mathematics is communicated. It is a tool which people can and

do use to model real situations and answer questions about them. It is also a way of operating

with concepts at an abstract level and then applying them, often leading to the development of

generalizations and insights beyond the original context. The use of algebra should begin in the

primary grades and should be developed throughout the elementary and secondary grades.

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Descriptive Statement�Algebra is a language used to express mathematical

relationships. Students need to understand how quantities are related to one another, and how algebra can be used

to concisely express and analyze those relationships. Modern technology provides tools for supplementing the traditional focus on algebraic techniques, such as solving equations, with a more visual perspective, with graphs of equations displayed on a screen. Students can then focus on understanding the relationship between the equation

and the graph, and on what the graph represents in a real-life situation.

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When we get it, it: (“Why  study  algebra?”)  

Algebra provides methods for moving from the specific to

the general. It involves discovering the patterns among items in a set and developing the language needed to think

about and communicate it to others. Algebra provides procedures for manipulating symbols to

allow for understanding of the world around us. Algebra provides a vehicle for understanding our world

through mathematical models. Algebra is the science of variables. It enables us to deal

with large bodies of data by identifying variables (quantities which change in value) and by imposing or finding

structures within the data. Algebra is the basic set of ideas and techniques for

describing and reasoning about relations between variable quantities.

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MANIPULATES

The development of manipulates, graphing calculators, and computers have made a more intuitive view of algebra accessible to all students, regardless of their previous mathematical performance.

These tools permit and encourage visual representations which are more readily understood. No longer need students struggle with abstract concepts presented with very few ties to real-life situations. Rather, the new view of algebra offers real situations for students to examine, to generalize, and to represent in ways which facilitate the asking and answering of meaningful questions. Moreover, inexpensive symbolic processors perform algebraic manipulations, such as factoring, quickly and easily, reducing the need for drill and mastery of paper-and-pencil symbol manipulation.

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A L A P

Algebra language and prison

AlgebraLanguage&Prison Atlanta, GA 30331

[email protected]

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Home

Reports & Resources

Programs/Initiatives

News

Office Contacts

Investigative Report

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Home

Reports & Resources

Programs/Initiatives

News

Office Contacts

Investigative Report

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the contract was amended the following year, Vheru was entitled to 20 percent of all revenues generated by sales of the textbook and related materials.

In early 2004, LAUSD gave Vheru a temporary position as supervisor of Central Office Mathematics Department, which gave him the authority to issue book purchase orders without any oversight. Several months later, LAUSD notified Vheru that it intended to replace him as the supervisor of the Mathematics Department with another individual.

The indictment alleges that before he was replaced as the supervisor, Vheru executed a scheme that caused the district to issue $3.7 million worth of purchase orders for his Algebra book in violation of California conflict of interest laws and the district's code of ethics. He subsequently caused the District to pay for the book and related materials with federal funds that were specifically provided to the district under Title III of the No Child Left Behind Act for programs for students with limited English proficiency.

The federal government provides Title III educational funds to the State of California, which transmits some of the money to the school district. The district is required to spend the money on programs that are designed to increase the academic performance and English

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proficiency of pupils who have difficulty reading or writing English.

The indictment alleges that Vheru attempted to conceal his scheme by, among other things, having the purchase orders for the algebra books describe the items being purchased as materials that were intended to help students prepare for the California High School Exit Exam, and taking other steps to prevent the publisher from disclosing to the district the true nature of the course materials that were being purchased and Vheru's financial interest in the deal.

In July 2004, the school district paid nearly $4 million to the publisher for Vheru's textbook and related materials, and for a small amount of exit exam materials. Soon after, the publisher paid Vheru approximately $676,000 in royalties and a $255,000 consulting fee.

Vheru worked for LAUSD in several roles from 1982 until he resigned approximately two years ago during the course of the District's dismissal process.

Vheru is specifically charged with 11 counts of "honest services" wire fraud for allegedly depriving the school district of his honest services and misuse of the funds that were used to finance the purchase. The indictment also contains one count of misapplication of funds that were under the control of a federally funded government

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agency. If convicted of these 12 felony charges, Vheru faces a maximum possible penalty of 230 years in federal prison.

An indictment contains allegations that a defendant has committed a crime. Every defendant is presumed innocent until and unless proven guilty in court.

The case against Vheru is the result of an investigation by the United States Department of Education, Office of Inspector General; the Los Angeles School District, Office of Inspector General; the Los Angeles Unified School District, Office of the General Counsel; and the United States Postal Inspection Service.

Release No. 07-034

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agency. If convicted of these 12 felony charges, Vheru faces a maximum possible penalty of 230 years in federal prison.

An indictment contains allegations that a defendant has committed a crime. Every defendant is presumed innocent until and unless proven guilty in court.

The case against Vheru is the result of an investigation by the United States Department of Education, Office of Inspector General; the Los Angeles School District, Office of Inspector General; the Los Angeles Unified School District, Office of the General Counsel; and the United States Postal Inspection Service.

Release No. 07-034

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Bob Moses sees algebra as a leading

cause of high school dropout the

pressure of trying to pass Algebra.

“It ’ s a civi l r ights issue— i f poor

children don’t learn high- level math, he argues, they’ l l never get the jobs

they need as adults to pul l themselves

out of poverty. “We recognize that

success in math and science lays the foundation for success inn school and

beyond”