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# MAT 028 - Mastery of Math IV

Course Department: Mathematics
Last Date of Approval: Summer 2018

3 Credits
Total Lecture Hours: 45
Total Lab Hours: 0
Total Clinical Hours: 0
Total Work-Based Experience Hours: 0

Course Description:
The first unit of this course includes the study of exponents; simplifying and solving algebraic expressions and equations; calculating perimeter, area, and volume of geometric figures; and graphing linear equations. The second unit includes the study of exponents, scientific notation, triangles, and their angles, and solving and graphing linear equations, inequalities, and systems. The third unit includes the study of the properties of exponents, calculating the volume and surface area of geometric figures, and the applications of linear equations and systems. This course will also help students gain mathematical literacy which will be of vital significance when making important life decisions. In addition, this course will help with any career that involves mathematics, decision making, or problem-solving. This course does not meet graduation requirements for certificate, diploma, general studies, or associate degree programs.

Prerequisites: ALEKS placement score from 15 to 19, or C grade in MAT 027 - Mastery of Math III , or B grade in MAT 026 - Mastery of Math II , or A grade in MAT 023 - Mastery of Math I .
Mode(s) of Instruction: traditional/face-to-face, virtual, and/or online

Credit for Prior Learning: There are no Credit for Prior Learning opportunities for this course.

Course Fees: ebook/Access Code: \$120.00

Common Course Assessment(s): Students take a final exam within the ALEKS software for each module over the topics assigned to that module. Students are required to pass the final with 75% or higher to move on to the next module.

Student Learning Outcomes and Objectives:
Module 4:

Outcome 1: Calculate the perimeter, area, and volume of polygons/polyhedrons.

Task 1: Calculate the perimeter and area of polygons.

Task 2: Calculate the length of a side of a polygon from the perimeter or area.

Task 3: Calculate the surface area and volume of rectangular prisms and cubes.

Task 4: Identify properties of geometric figures.

Outcome 2: Apply properties of real numbers and exponents to solve linear equations and inequalities.

Task 1: Find percentages and use them to solve problems.

Task 2: Use similar triangle and proportions to solve problems.

Task 3: Simplify expressions containing exponents.

Task 6: Translate real-world situations into mathematical expressions and equations.

Outcome 3: Construct graphs of linear equations and inequalities.

Task 1: Determine the equation of a line using the slope and y-intercept.

Task 4: Graph linear inequalities on a number line.

Module 5:

Outcome 1: Solve problems involving geometric area and angles.

Task 1: Calculate area of inscribed figures.

Task 2: Identify acute, obtuse, and right angles.

Task 3: Obtain an angle measure for a triangle with an extended side.

Task 4: Identify parallel and perpendicular lines.

Outcome 2: Solve linear equations and inequalities in one variable and solve formulas for a specified variable.

Task 1: Solve a linear equation.

Task 2: Solve a linear inequality.

Task 3: Graph inequalities (including compound inequalities) on the real number line.

Task 4: Solve an absolute value equation.

Task 5: Solve a formula for a specified variable, in terms of the other variable(s).

Outcome 3: Solve and graph systems of linear equations and inequalities in two variables.

Task 1: Obtain the slope and intercept(s) of a line, given its equation in one or two variables.

Task 2: Obtain the equation of a line in two variables, given a slope and a point, or given two points.

Task 3: Graph a linear equation in one/two variables on the xy plane.

Task 4: Graph linear inequalities in one/two variables on the xy-plane.

Task 5: Identify parallel and perpendicular lines and utilize characteristics of parallel/perpendicular lines to find slope.

Task 6: Classify and solve systems of linear equations algebraically and/or graphically.

Task 7: Solve a system of linear inequalities graphically.

Outcome 4: Express decimal values in scientific notation and exponential form using both positive and negative exponents.

Task 1: Use the product rule of exponents (i.e. adding exponents for expressions with the same base).

Task 2: Use the quotient rule of exponents (i.e. subtracting exponents for expressions with the same base).

Task 3: Use the power rule (aka “power to a power” rule) of exponents.

Task 4: Use the “power of a product or quotient” rule.

Task 5: Use a combination of two or more rules of exponents.

Task 6: Employ scientific notation with positive and negative exponents through proper use of power, product and quotient rules of exponents.

Module 6:

Outcome 1:   Solve problems involving lines, functions, or systems of equations.

Task 1:  Solve application problems involving linear functions.

Task 2:  Solve application problems involving systems of linear equations.

Task 3:  Solve systems of linear equations.

Task 4:  Interpret the graphs of two functions.

Outcome 2:   Solve problems involving linear equations or inequalities.

Task 1:  Solve problems involving absolute values in inequalities.

Task 2:  Solve application problems involving linear equations.

Task 3:  Solve multi-step linear equations.

Task 4:  Translate sentences into multi-step equation.

Outcome 3:   Solve problems involving exponents.

Task 1:  Use the quotient rule on problems involving negative exponents.

Task 2:  Use the power rule on problems involving negative exponents.

Task 3:  Simplify univariate or multivariate monomials.

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