MATH 0302 PREALGEBRA COURSE OBJECTIVES Fall 2015 Algebra Foundations: Basic Math, Introductory Algebra, and Intermediate Algebra, First Edition Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson Textbook Ref. The student will be able to: 1. Identify, classify, graph, and perform arithmetic operations involving real numbers. Find the absolute value of a number. Order and compare two or more real numbers. Add, subtract, multiply and divide two signed numbers. Identify the base and exponent of an exponential expression. Simplify a numerical expression using the rules for order of operations. Find the Least Common Multiple of two or more numbers. Simplify a rational number and add, subtract, multiply, and divide two rational numbers (, no variables involved). Simplify a numerical expression containing one or more square roots of perfect squares. Find a decimal approximation of a square root using a calculator. Simplify a numerical expression which contains an exponent that is an integer. Write a decimal in scientific notation and convert a number in scientific notation to decimal form. Graph an ordered pair on a rectangular coordinate system. 2. Differentiate and apply a concept used to determine an exact or approximate value for perimeter, area, circumference, and length of a side of a right triangle. Find the perimeter and area of a rectangle and a triangle. Find the circumference and area of a circle and give both the exact answer and a decimal approximation. Find the missing length of a side of a right triangle. Apply the Pythagorean Theorem. 3. Simplify and evaluate an algebraic expression. Use the Commutative, Associative and Distributive Properties to simplify a numerical and algebraic expression. Identify and combine like terms in an algebraic expression. Identify the terms, coefficients, and variables of a polynomial (if applicable). Translate verbal phrases into mathematical expressions. Evaluate an algebraic expression for given values of the variables. 4. Add two or more polynomials and subtract two polynomials. Classify polynomials as monomials, binomials, or trinomials where applicable. Add and subtract polynomials. Rev June 16, 2015 Page 1 of 2 219508628 10.2d 10.2e 10.3, 10.4, 10.5, 10.6 1.9b 1.9c, 3.7a, 10.8 3.1 2.5, 2.6, 2.7, 3.2, 3.3, 3.4, 3.5, 3.6 9.6a 9.6b 1.9c, 10.8d, 13.1b, f 13.2c 12.1a,b 9.1, 9.2 9.3 9.6c 9.6d 10.7, 10.8 10.7 13.3b,c 10.1b 10.1a 13.3b 13.4 5. Demonstrate an algebraic skill to solve a linear equation in one variable. Solve a linear equation using the addition property of equality. Solve a linear equation using the multiplication property of equality. Solve a linear equation using both the addition and multiplication properties of equality. Solve an application modeled by a linear equation. Translate word phrases to algebra. 6. Solve and apply problems involving percent and proportion. Solve percent problems. Solve percent applications. Translate a percent problem to a proportion. Write a ratio as a fraction. Decide if a proportion is true using diagonal products. Solve a proportion. Use a proportion to model an application. Solve an application involving numbers. Rev June 16, 2015 Page 2 of 2 219508628 11.1 11.2 11.3 11.6 10.1b 6.1, 6.2, 6.3 6.5, 6.6, 6.7a 6.4 5.1, 5.2 5.3a 5.3b 5.4, 6.4 11.6