Grade Levels:
Eighth through tenth grade
Number of Periods:
Five periods per week for one year
High School Credit:
Algebra 1 is a state mandated course for high school graduation. Students enrolled in this course will need to pass the New Jersey End-of-Course
Algebra 1 Exam given around May.
Course Units and Objectives:
Book on Algebra 1—Foundation Series ©2011; by Pearson.
Expressions and Equations
Students will be able to…
simplify numerical expressions using Order of Operations
solve open sentences using a replacement set
perform the operations of addition, subtraction, multiplication, division, and square root on real numbers
solve single variable equations/inequalities using the properties of equality
solve absolute value equations/inequalities and compound inequalities
solve problems involving proportions and percent of change
solve formulas for a given variable
solve problems involving weighted averages
Linear Functions
Students will be able to…
find the inverse of function
represent relations as a set of ordered pairs, tables, mappings, and graphs
find the range of a function given a set of domain
graph linear equations using a table
use substitution to evaluate a problem involving function notation
write an equation to represent a given sequence/pattern
calculate the slope of a linear equation
Algebra I Syllabus 1
write linear equations given two pieces of information
graph linear equations/inequalities
solve multivariable equations/inequalities through the use of systems of equations/inequalities
Polynomials and Nonlinear Functions
Students will be able to…
perform the basic operations of addition, subtraction, multiplication, and division on monomials and polynomials
simplify polynomial functions by factoring
solve quadratic equations/inequalities
use properties of monomials to multiply and divide numbers written in Scientific
Notation
solve problems involving exponential growth and decay
extend geometric sequences and calculate geometric means
Radical and Rational Functions
Students will be able to…
perform the basic operations of simplifying, addition, subtraction, multiplication and division of radical expressions
solve equations involving radicals
perform the basic operations of simplifying, adding, subtracting, multiplying and dividing rational expression
solve rational equations/inequalities
find extraneous solutions
Data Analysis, Probability, Statistics, and Discrete Mathematics
Students will be able to…
find the measures of central variation
display data using different displays
calculate the measures of central tendency
solve problems involving factorial, combinations, and permutations
find probability of a set of events
find missing values using the trigonometric ratios
Evaluations:
A.
Tests
B.
Performance Assessments
C.
Quizzes
D.
Homework
E.
Class Participation
F.
Final Examinations
Algebra I Syllabus 2