PREREQUISITE - Eighth grade Pre-Algebra with a C- or bettter or successful completion of Math Workshop or teacher recommendation

 

DESCRIPTION - An introductory course that explores the basic concepts and vocabulary of Algebra.  Operation skills are emphasized as they relate to Algebra.  Students will develop skills in signed numbers, factoring, rationalizing, solving linear and quadratic equations, and problem solving.

 

CONTENT

1.   The student will demonstrate an understanding of rational numbers and expressions.

A.  Successfully perform the four basic operations.

B.    Successfully identify absolute values.

C.    Successfully graph on a number line.

D.    Successfully compare and order.

E.    Successfully use order of operations to evaluate numeric and variable expressions.

F.    Successfully simplify expressions with like terms.

 

2.   The student will demonstrate an understanding of equations (each category to be considered for integers, decimals and fractions).

A.  Successfully solve using the four basic operations.

B.    Successfully solve using more than one operation.

C.    Successfully solve using grouping symbols.

D.    Successfully solve using variables on both sides.

E.    Successfully solve with multi-variables (literal equations).

F.    Successfully write and solve equations from word problems.

 

3.   The student will demonstrate an understanding of inequalities.

A.    Successfully solve using the four basic operations.

B.    Successfully solve using more than one operation.

C.    Successfully solve using grouping symbols.

D.    Successfully solve using variables on both sides.

E.    Successfully graph solutions on a number line.

 

 

 

4.   The student will demonstrate an understanding of polynomials.

A.    Successfully simplify expressions using rules of exponents, (includes Scientific Notation expressions and monomial division).

B.    Successfully find the degree.

C.    Successfully arrange in ascending or descending order.

D.    Successfully perform addition, subtraction, and multiplication involving polynomials.  (Multiplication includes the distributive property and FOIL method).

 

 

 

 

5.  The student will demonstrate an understanding of factoring of polynomials.

A.    Successfully find the GCF for two or more monomials.

B.    Successfully factor monomials.

C.    Successfully factor binomials and trinomials completely, using GCF and Distributive Property.

 

6.   The student will demonstrate an understanding of Radical Expressions.

A. Successfully simplify.

B. Successfully use the Pythagorean theorem.

C. Successfully identify irrationals.

 

7.   The student will demonstrate an understanding of quadratic equations.

A. Successfully solve equations by factoring and using Zero Product Property.

B. Successfully solve equations by using the Quadratic Formula.

 

8.   The student will demonstrate an understanding of two variable functions and graphs.

A. Successfully graph ordered pairs on a coordinate plane.

B.   Successfully identify the domain and the range of a relation.

C.  Successfully identify functions.

D.  Successfully create a T-chart of solutions from an equation and graph the equation.

 

9.   The student will demonstrate an understanding of linear equations.

A.    Successfully find slope, x- and y- intercepts of a line.

B.    Successfully write a linear equation, using slope-intercept form, when given the graph of a line, the slope and y-intercept, the slope and one point, or two points.

C.    Successfully graph a linear equation on a coordinate system.

*D.    Successfully graph using a graphing calculator. *

*E.    Successfully graph linear inequalities. *

 

10. The student will demonstrate an understanding of systems of two linear equations.

*A.     Successfully solve a system using the graphing method. *

*B.     Successfully solve a system using the substitution method. *

C. Successfully solve a system using the elimination method.

 

*11.   The student will demonstrate an understanding of Probability and Statistics. *

*A.    Successfully interpret data from a table.

*B.    Successfully display and interpret statistical data on a line plot, stem and leaf plot, box and whisker plot and scatter plot.

*C.    Successfully calculate the mean, median and mode.

*D.    Successfully calculate the range and quartiles.

*E.    Successfully find the probability of simple and compound events.

*F.    Successfully conduct and interpret probability experiments.