Competency-Based Mathematics Program: Instruction

Students in the Competency-Based Mathematics program learn the course content by using the software they are provided for the course. If they are taking the course at a Model 1 school, students may also be taught course content during class by their high school math teacher. The math teachers at Model 1 schools are given the freedom to choose how they teach their high school class, but all students in the program, in both Model 1 and Model 2, must complete all of the sections on the software that are required for each course and must complete the designated number of exams (3 for College Algebra; 2 for Plane Trigonometry; 3 for Precalculus) successfully.

The software’s learn mode presents the concepts, definitions, and examples for each lesson similar to how a textbook would, but unlike a textbook, the software also has narration and videos.

The software’s practice mode offers unlimited practice problems with helpful feedback and an Interactive Tutor that lets students view a fully worked-out solution or complete a guided step-by-step process in order to find a solution.

The software’s certify mode is where students complete assigned homework problems. There is a table in the lower part of the screen that shows the number of problems, the number of strikes for incorrect answers, and the maximum number of strikes allowed to pass the certification.  If a student earns too many strikes, they must reattempt the certify for that lesson. Students are allowed an unlimited number of attempts to certify.

MATH 156 College Algebra

  • Test 1: Covers Hawkes sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, and 1.9, which include:
    • Real Numbers and Algebraic Expressions
    • Properties of Exponents and Radicals
    • Polynomials and Factoring
    • Rational Expressions
    • Complex Numbers
    • Linear Equations in One Variable
    • Linear Inequalities in One Variable
    • Polynomial and Polynomial-Like Equations in One Variable
    • Rational and Radical Equations in One Variable
  • Test 2: Covers Hawkes sections 2.1, 2.3, 2.4, 3.1, 3.2, 3.3, 3.4, 3.5, and 3.6, which include:
    • The Cartesian Coordinate System
    • Linear Equations in Two Variables
    • Slope and Forms of Linear Equations
    • Relations and Functions
    • Linear Functions
    • Quadratic Functions
    • Other Common Functions
    • Variation and Multivariable Functions
    • Mathematical Models
  • Test 3: Covers Hawkes sections 4.1, 4.2, 4.3, 4.4, 5.1, 5.2, 5.3, 5.4, and 5.5,  which include:
    • Transformations of Functions
    • Properties of Functions
    • Combining Functions
    • Inverses of Functions
    • Polynomial Functions and Polynomial Inequalities
    • Polynomial Division and the Division Algorithm
    • Locating Real Zeros of Polynomial Functions
    • The Fundamental Theorem of Algebra
    • Rational Functions and Rational Inequalities
  • Test 4: Covers Hawkes sections 6.1, 6.2, 6.3, 6.4, 11.1, and 11.8, which include:
    • Exponential Functions and Their Graphs
    • Exponential Models
    • Logarithmic Functions and Their Graphs
    • Logarithmic Properties and Models
    • Solving Systems of Linear Equations by Substitution and Elimination
    • Systems of Nonlinear Equations and Inequalities

MATH 157 Plane Trigonometry

  • Test 1: Covers Hawkes sections 7.1, 7.2, 7.3, 7.4, 7.5, and 7.6, which include:
    • Radian and Degree Measure of Angles
    • Trigonometric Functions and Right Triangles
    • Trigonometric Functions and the Unit Circle
    • Graphs of Sine and Cosine Functions
    • Graphs of Other Trigonometric Functions
    • Inverse Trigonometric Functions
  • Test 2: Covers Hawkes sections 8.1, 8.2, 8.3, 8.4, 9.1, 9.2, 9.6 and 9.7, which include:
    • Fundamental Trigonometric Identities
    • Sum and Difference Identities
    • Product-Sum Identities
    • Trigonometric Equations
    • The Law of Sines
    • The Law of Cosines
    • Vectors in the Cartesian Plane
    • The Dot Product

MATH 186 Precalculus

  • Test 1: Covers Hawkes sections 1.8, 1.9, 2.3, 2.4, 3.1, 3.2, 3.3, 3.4, 3.5, and 3.6, which include:
    • Polynomial and Polynomial-Like Equations in One Variable
    • Rational and Radical Equations in One Variable
    • Linear Equations in Two Variables
    • Slope and Forms of Linear Equations
    • Relations and Functions
    • Linear and Quadratic Functions
    • Other Common Functions
    • Variation and Multivariable Functions
    • Mathematical Models
  • Test 2: Covers Hawkes sections 4.1, 4.2, 4.3, 4.4, 5.1, 5.2, 5.3, 5.4, 5.5, which include:
    • Transformations of Functions
    • Properties of Functions
    • Combining Functions
    • Inverses of Functions
    • Polynomial Functions and Polynomial Inequalities
    • Polynomial Division and the Division Algorithm
    • Locating Real Zeros of Polynomial Functions
    • The Fundamental Theorem of Algebra
    • Rational Functions and Rational Inequalities
  • Test 3: Covers Hawkes sections 6.1, 6.2, 6.3, 6.4, 11.1, and 11.8, which include:
    • Exponential Functions and Their Graphs
    • Exponential Models
    • Logarithmic Functions and Their Graphs
    • Logarithmic Properties and Models
    • Solving Systems of Linear Equations by Substitution and Elimination
    • Systems of Nonlinear Equations and Inequalities
  • Test 4: Covers Hawkes sections 7.1, 7.2, 7.3, 7.4, 7.5, and 7.6, which include:
    • Radian and Degree Measure of Angles
    • Trigonometric Functions and Right Triangles
    • Trigonometric Functions and the Unit Circle
    • Graphs of Sine and Cosine Functions
    • Graphs of Other Trigonometric Functions
    • Inverse Trigonometric Functions
  • Test 5: Covers Hawkes sections 8.1, 8.2, 8.3, 8.4, 9.1, 9.2, 9.6, and 9.7, which include:
    • Fundamental Trigonometric Identities
    • Sum and Difference Identities
    • Product-Sum Identities
    • Trigonometric Equations
    • The Law of Sines
    • The Law of Cosines
    • Vectors in the Cartesian Plane
    • The Dot Product