DMA 010 Operations With Integers (1 Credit Hour)

Competencies:

• Visually represent an integer and its opposite on the number line
• Explain the concept of the absolute value of an integer
• Demonstrate the conceptual understanding of operations with integers to solve application problems
• Correctly apply commutative and associative properties to integer operations
• Apply the proper use of exponents and calculate the principal square root of perfect squares
• Simplify multi-step expression using the rules for order of operations
• Solve geometric application problems involving area and perimeter of rectangles and triangles, angles, and correctly apply the Pythagorean theorem

Student Learning Outcomes:

1.1 Demonstrate an understanding of the concept of integers within contextual application problems
1.2 Correctly represent integers on a number line
1.3 Demonstrate the correct use of additive inverses
1.4 Evaluate the absolute value of a number
1.5 Apply integer operations in solving  contextual application problems
1.6 Correctly apply the associative and commutative properties
1.7 Demonstrate understanding of exponents by converting between exponential and expanded form
1.8 Evaluate exponents
1.9 Calculate the square root of numbers containing perfect squares
1.10 Evaluate integer expressions by using the correct order of operations
1.11 Distinguish between appropriate use of area and perimeter formulas to solve geometric application problems
1.12 Use the Pythagorean Theorem to solve geometric problems
1.13 Represent the events of a geometric application problem included in this module pictorially and evaluate the correct solution using the appropriate formula
1.14 Demonstrate an understanding of what a variable represents
1.15 Evaluate variable expressions and formulas