Essay: National and State Subject Matter

Pages: 2 (720 words)  ·  Style: MLA  ·  Bibliography Sources: 2  ·  File: .docx  ·  Level: Master's  ·  Topic: Education - Mathematics

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[. . .] One such California-specific standard is: "verify experimentally that in a triangle, angles opposite longer sides are larger, sides opposite larger angles are longer, and the sum of any two side lengths is greater than the remaining side length; apply these relationships to solve real-world and mathematical problems" (Common Core Standards, California Department of Education: 74).

Regarding Algebra I, the standards for the subject in California are defined as pertaining to three critical areas: "deepen and extend understanding of linear and exponential relationships; contrast linear and exponential relationships with each other and engage in methods for analyzing, solving, and using quadratic functions; extend the laws of exponents to square and cube roots; and apply linear models to data that exhibit a linear trend" (Common Core Standards, California Department of Education:60). In contrast, the federal Common Core standards begin with a more theoretical discussion of algebraic equations, what they contain, and algebraic distinction between equations and inequalities.

The standards of both California and the federal Common Core contain a great deal of overlap, similar to their congruence with geometry standards. For example, both require that students: "explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method" (Common Core Standards, Official Website CCSS.Math.Content.HSA-REI.A.1; California Department of Education 65). As with the geometry section, California includes several state-specific guidelines regarding the capabilities of students such as the ability to "solve one-variable equations and inequalities involving absolute value, graphing the solutions and interpreting them in context," which more specifically guides the type of approaches teachers must present in the classroom, usually with a greater emphasis on contextual applications of abstract theories (Common Core Standards, California Department of Education 65).

Works Cited

Common Core Standards. California Department of Education. ca.gov. [21 Oct 2013] http://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf

Common Core Standards. Official Website. [21 Oct 2013]

http://www.corestandards.org/Math/Content/HSG/introduction [END OF PREVIEW]

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