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)

The goal of this course is to prepare students for Algebra 2 – Intermediate Algebra.

Students learn to:

  1. Simplify expressions using the order of operations
  2. Solve linear equations and use them to solve application problems
  3. Solve linear inequalities and graph and express answers in interval form
  4. Find slope and intercepts of a linear equation in two variables
  5. Simplify expressions using laws of exponents
  6. Add, subtract, multiply and divide polynomials
  7. Factor polynomials
  8. Solve quadratic equations using multiple methods
  9. Solve systems of linear equations in two variables
  10. 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)

The goal of this course is to prepare students for Pre-Calculus with College Algebra

Students learn to:

  1. Solve polynomial equations by factoring
  2. Solve equations involving rational expressions and apply them
  3. Solve equations with radicals and rational exponents
  4. Perform operations with complex numbers
  5. Recognize functions defined by sets of ordered pairs, graphs, and equations and to apply function notation to applications
  6. Sketch graphs of linear relations and determine a linear equation in two
    variables given pertinent information
  7. Solve linear inequalities in one and two variables
  8. Solve quadratic equations using the quadratic formula, completing the
    square, factoring, and extracting roots
  9. 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

Geometry introduces mathematical properties, theorems, and vocabulary involving proofs. It includes topics such as the study of points, lines, planes, angles, triangles, polygons, circles, congruence and similarity, area and volume, and coordinate geometry. Geometry helps to develop critical thinking skills as it relates to logical reasoning and argument. Hands-on learning will be provided in many classes both individually and in groups.

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

The goal of this course is to provide the student with the skills needed for further study of mathematics. It is hoped that students will be well prepared for Calculus.

Major Topics:

  1. Solving polynomial equations including higher degree equations
  2. Solving radical equations with multiple radicals
  3. Factoring and performing operations with rational expressions
  4. Absolute value equations and inequalities
  5. Definitions of conic sections and derivation of their equations using the distance formula
  6. Review of functions, both linear and higher degree functions
  7. Logarithmic and exponential equations
  8. Definitions of trigonometric functions and their applications
  9. Proof of trigonometric identities
  10. Trigonometric form of a complex number
  11. Solving systems of equations using determinants and matrices
  12. Partial fraction decomposition
  13. Binomial Theorem
  14. 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