Class Description:
This course will cover the second and last semester of Algebra. When students finish this course with a C- or better, they will be prepared for Geometry or Algebra 2. This course will use the Four-Fold Method for undestanding Algebra. Students will be asked to represent solutions to Algebra activities with the use of pictures, symbols, words, and numbers. Students will complete Cornell notes, Algebra terms, Excel activities, section activities, individual projects, tests, and random quizzes for chapters 8 to 13. Students will also complete two benchmark exams, a midterm, and a final.
This course will cover the following California Algebra Standards:
- 1.0 Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable.
- 2.0 Students understand and use such operations as taking the opposite, find the reciprocal, taking root, and raising to a fractional power. They understand and use the rules of exponents.
- 3.0 Students solve equations and inequalities involving absolute values.
- 4.0 Students simplify expressions before solving linear equations and inequalities in one variable, such as
 .
- 5.0 Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.
- 6.0 Students graph a linear equation and compute the x-intercepts (e.g., graph
 ). They are also able to sketch the region defined by linear inequalities (e.g., they sketch the region defined by
 ).
- 7.0 Students verify that a point lines on a line, given an equation of the line. Students are able to derive linear equations by using the point-slope formula.
- 8.0 Students understand the concepts of parallel lines and perpendicular lines and how those slopes are related. Students are able to find the equation of a line perpendicular to a given line that passes through a given point.
- 9.0 Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear equations in two variables and to sketch the solution sets.
- 15.0 Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems.
- 16.0 S tudents understand the concepts of relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions.
- 17.0 Students determine the domain of independent variables and the range of dependent variables defined by a graph, a set of ordered pairs, or a symbolic expression.
- 18.0 Students determine whether a relation defined by a graph, a set of ordered pairs, or a symbolic expression is a function and justify the conclusion.
Syllabus
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