Math 7/8
The goal of this course is to prepare students for Pre-Algebra.
This course reviews basic math concepts, number sense, computation/estimation, areas, and measurements, ensuring students have a solid mathematical foundation. Students are then introduced to the basics of percentages, algebra, and geometry. This course includes some hands-on learning activities to be completed individually and in groups.
Prerequisite: Placement by instructor
Required Textbook:
Intermediate Mathematics, Abeka, 1st edition , 2019, #294012 (available on Abeka.com)
Supplies Needed:
Loose leaf binder with paper or 3-subject notebook, ruler, and pencils
Pre-Algebra
The goal of this course is to prepare students for Algebra 1 – Introductory Algebra.
Pre-Algebra provides the foundation for Algebra. Main topics include fractions, decimals, integers, ratios and proportions, solving equations, percents, introduction to geometry and graphing. This class will incorporate some hands-on learning activities (individual and group) to be completed in class.
Prerequisite: Math 7/8 or placement by instructor
Required Textbook:
Barron’s Pre-Algebra The Easy Way, August 2019, Caryl Lorandini, ISBN: 9781438012094 (available on Amazon.com)
Other worksheets will be added for instruction and homework, but will be provided by the instructor.
Supplies Needed:
Loose leaf binder and paper or a 3 subject notebook, graph paper or notebook, ruler, pencils, and calculator (used in some sections)
Algebra 1 (Introductory Algebra)
Students learn to:
- Simplify expressions using the order of operations
- Solve linear equations and use them to solve application problems
- Solve linear inequalities and graph and express answers in interval form
- Find slope and intercepts of a linear equation in two variables
- Simplify expressions using laws of exponents
- Add, subtract, multiply and divide polynomials
- Factor polynomials
- Solve quadratic equations using multiple methods
- Solve systems of linear equations in two variables
- Write a linear equation given pertinent information
Prerequisite: Pre-Algebra or placement by instructor
Required Textbook:
Introductory Algebra, Miller, O’Neill, and Hyde, Third Edition, ISBN 978-0073384542 (available used on amazon.com)
Supplies Needed:
Paper, pencil, graph paper, loose leaf notebook
Algebra 2 (Intermediate Algebra)
Students learn to:
- Solve polynomial equations by factoring
- Solve equations involving rational expressions and apply them
- Solve equations with radicals and rational exponents
- Perform operations with complex numbers
- Recognize functions defined by sets of ordered pairs, graphs, and equations and to apply function notation to applications
- Sketch graphs of linear relations and determine a linear equation in two
variables given pertinent information - Solve linear inequalities in one and two variables
- Solve quadratic equations using the quadratic formula, completing the
square, factoring, and extracting roots - Solve absolute value equations and inequalities
Prerequisite: Algebra 1 or placement by instructor
Required Textbook:
Intermediate Algebra, Miller, O’Neill, and Hyde, Third edition, ISBN 978-0073384429 (available used on amazon.com)
Supplies Needed:
Pencil, graph paper, loose leaf notebook, straight edge (six inch ruler will suffice)
Geometry
Pre-Requisite: Algebra 1
NOTE: Students may take Geometry prior to or after taking Algebra 2.
Required Textbook:
Barron’s Geometry The Easy Way, Fifth Edition, ISBN: 9781438012117 (available on Amazon.com)
Other worksheets will be added for instruction and homework, but will be provided by the instructor.
Supplies Needed:
Loose leaf paper and binder or 3-subject notebook, pencils, ruler, compass, protractor and calculator
Pre-Calculus with College Algebra
Major Topics:
- Solving polynomial equations including higher degree equations
- Solving radical equations with multiple radicals
- Factoring and performing operations with rational expressions
- Absolute value equations and inequalities
- Definitions of conic sections and derivation of their equations using the distance formula
- Review of functions, both linear and higher degree functions
- Logarithmic and exponential equations
- Definitions of trigonometric functions and their applications
- Proof of trigonometric identities
- Trigonometric form of a complex number
- Solving systems of equations using determinants and matrices
- Partial fraction decomposition
- Binomial Theorem
- Limit of a function
Prerequisite: Algebra 2
Required Textbook:
Schaum’s Outlines Precalculus, McGraw Hill, Fred Safier, ISBN 978-1260454208 (available used on amazon.com)
Supplies Needed:
Loose leaf notebook, paper, pencil, graph paper. compass, protractor, and scientific calculator