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This Math MOOC aligns with several of the Common Core State Standards for Mathematics and ACT College Readiness Benchmarks.  With a focus on the High School Conceptual Categories of Algebra and Functions, this Math MOOC examines key topics such as:

  • writing expressions in equivalent forms to solve problems
  • solving linear equations, systems of linear equations, linear inequalities, and quadratic equations
  • performing arithmetic with polynomial and rational expressions
  • modeling linear and quadratic functions

Each module within the Math MOOC imbeds at least two specific High School standards. These modules are also aligned to mathematics portions the ACT, SAT, and other college gateway examinations.  This Math MOOC also serves as a tool to examine some of the topics included in college placement examinations for mathematics.  


Learning Objectives
CCSS Mathematics Alignment

Fractions, Ratios, and Percents

Perform operations with rational numbers.

Use rates, ratios, and percents to solve real-world and mathematical problems.


6.NS.A.1, 6.EE.A.2a, 6.EE.A.2c, 7.RP.A.3, 8.EE.C.7b, HAS.CED.4, HAS.REI.B3

Geometry & Measurement

Use measurement formulas to model and solve geometric problems.

Solve problems involving special triangles including the relationship between sides and angles of these special triangles.

Apply the Pythagorean’s Theorem to solve real-world and mathematical problems related to right triangles.

Solve problems involving geometric figures using the distance and midpoint formulas.



Solving Linear Equations, Inequalities, & Absolute Value

Create and solve linear equations and inequalities in one variable related to real-world and mathematical problems.

Solve equations and inequalities involving the absolute value.


Graphing Linear Equations

Graph linear equations in two variables.

Construct the equation of a line in point-slope and slope-intercept form to solve real-world and mathematical problems.

Determine the relationship between the slopes of parallel and perpendicular lines.

8.EE.B.6, 8.EE.C.7a,b,


Systems of Linear Equations

Solve systems of equations algebraically and graphically related to real-world and mathematical problems.

8.EE.C.8a, b, c, A-CED.A.2, A-REI.C.5, A-REI.C.6,

Exponents & Radicals

Apply the laws of exponents to simplify expressions involving rational exponents.

Solve problems involving scientific notation.

Apply the properties of radicals to simplify expressions involving square roots.

8.EE.A.1, 8.EE.A. 4, HAS-SSE.B.3c

Polynomial Operations & Function Notation

 Perform operations with polynomial expressions.

Identify a relationship between two quantities that satisfies the definition of a function.

Use function notation to analyze mathematical situations.



Factor polynomial expressions using the greatest common factor and factor by grouping methods.

Apply methods for factoring trinomials with a leading coefficient of 1, factoring trinomials with a leading coefficient other than 1, and factoring difference of squares.


Solving Quadratic Equations

Apply factoring concepts and the quadratic formula to solving quadratic equations related to real-world and mathematical problems.


Rational Expressions

Simplify rational expressions.

Add, subtract, multiply, and divide rational expressions.