Edison School District

Developing a desire for lifelong learning

The standards for grades 8—12 are organized differently than those for kindergarten through grade seven.  Here strands are not used as they are in the lower grades because the math studied in the upper grades falls      under headings such as  geometry,    algebra, etc… 

 

As a condition of  high school       graduation, all  students must have              successfully  completed an Algebra Class and have passed the California High School Exit Exam.  The math    portion of the high school exit exam is primarily based on the standards of an Algebra I class.  There are other level math courses taught at the junior high and high school (both higher and lower-level classes).  To obtain the standards for these classes please contact your school  principal.

 

ALGEBRA I 

Through the study of algebra, a student develops an understanding of the symbolic language of math and science.  In addition, these skills are developed and used in a wide variety of problem-solving situations.

Þ  Students identify and use the arithmetic properties of subsets of integers, rational, irrational and real numbers

Þ  Use properties of numbers to          demonstrate that assertions are true or false

Þ  Understand operations such as taking the opposite, reciprocal, raising to a power and taking a root

 

Þ  Solve equations and inequalities        involving absolute values

Þ  Simplify expressions prior to     solving

Þ  Solve multi-step problems,             including word problems

Þ  Graph a linear equation and      compute the x- and y- intercepts 

 Verify that a point lies on a line given an equation of the line 

Þ  Understand the concepts of       parallel and perpendicular lines and how their slopes are related 

Þ  Solve a system of two linear    equations in two variables               algebraically, and are able to           interpret the answer graphically

Þ  Apply basic factoring techniques to second and simple third degree            polynomials

Þ  Simplify fractions with polynomials in the numerator and denominator by      factoring both and reducing to lowest term

Þ   Add, subtract, multiply and divide     rational expressions and functions 

Þ  Solve a quadratic equation by       factoring

Þ  Apply algebraic techniques to rate problems, work problems and percent mixture problems

Þ  Understand the concepts of a       relation and a function

Þ  Determine and justify whether a relation defined by a graph, a set of ordered pairs or symbolic expression is a function

Þ  Know the quadratic formula and are familiar with its proof

Þ  Use the quadratic formula to find  roots and to solve equations

Þ  Graph quadratic functions and know that their roots are the x-intercepts

Þ  Use the quadratic formula and/or     factoring techniques to determine whether the graph of a quadratic   function will intersect  

Þ  Apply quadratic equations to    physical problems

 

 

 

 

Þ  Use simple aspects of a logical          argument

Þ  Explain the difference between         inductive and deductive reasoning

Þ  Identify the hypothesis and         conclusion 

Þ Use counterexamples to show that an assertion is false and      recognize that a single counter     example is sufficient  

Þ  Use properties of the number     system to judge the validity of    results, to justify each step of a procedure and to prove or disprove statements

Þ  Use properties of numbers to make simple valid arguments

Þ  Judge the validity of an           argument

Þ  Given a specific algebraic     statement students determine if the statement is true sometimes, always or never