MAT 026 - Mastery of Math II
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 operations on whole numbers, fractions, and decimals, and calculating perimeter and area of quadrilaterals and triangles. The second unit includes the study of basic operations on integers, the properties of arithmetic, slope of a line, and simple word problems. The third unit includes the study of exponents; simplifying and solving algebraic expressions and equations; calculating perimeter, area, and volume of geometric figures; and graphing linear equations. 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 score from 5 to 9, or C 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 2:
Outcome 1: Perform operations on decimals, proportions, and percents.
Task 1: Convert between decimals, fractions, and percents
Task 2: Solve problems using decimal division.
Task 3: Solve problems using decimal multiplication.
Task 4: Solve word problems using operations involving decimals.
Outcome 2: Perform operations on fractions and mixed numbers.
Task 1: Order fractions and mixed numbers, including ones that require conversions.
Task 2: Compute addition problems that involve fractions and mixed numbers.
Task 3: Compute division problems that involve fractions and mixed numbers.
Task 4: Compute multiplication problems that involve fractions and mixed numbers.
Task 5: Evaluate expressions with fractions and mixed numbers using exponents and order of operations.
Task 6: Solve word problems using operations involving fractions and mixed numbers.
Outcome 3: Perform operations on whole numbers.
Task 1: Evaluate expressions using exponents and order of operations.
Task 2: Solve problems using whole number division.
Task 3: Solve problems using whole number multiplication.
Task 4: Evaluate an algebraic expression
Outcome 4: Solve problems using the coordinate plane and geometry.
Task 1: Calculate the area of polygons (squares, rectangles, and rectangular figures).
Task 2: Use the formulas for perimeter of a square and rectangle.
Task 3: Find a missing angle in a triangle.
Task 4: Plot an ordered pair on the coordinate plane.
Module 3:
Outcome 1: Calculate accurately (add, subtract, multiply, and divide) with real numbers.
Task 1: Add and subtract integers and signed fractions.
Task 2: Multiply and divide integers and signed fractions.
Task 3: Evaluate expressions using the order of operations.
Task 4: Solve problems using ratios and percentages.
Task 5: Estimate a sum, difference, product, or quotient.
Outcome 2: Solve linear equations using properties of real numbers.
Task 1: Combine like terms to simplify expressions.
Task 2: Use the additive property to solve equations.
Task 3: Use the multiplicative property to solve equations.
Task 4: Use the distributive property to solve equations.
Task 5: Add fractions with variables and common denominators.
Outcome 3: Use the Cartesian coordinate system to identify points and slopes.
Task 1: Read a point in the coordinate plane.
Task 2: Create an x-y table for a linear equations.
Task 3: Find the slope of a line given the graph.
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 4: Solve linear inequalities.
Task 5: Solve linear equations.
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 2: Graph linear equations.
Task 3: Find intercepts.
Task 4: Graph linear inequalities on a number line.
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