Bunker Hill Community College

MAT094 Objectives

MAT094 Objectives: Upon completion of MAT-094, the student will be able to:
Evaluate expressions involving sums, differences, products, and quotients of signed numbers according to the agreement on order of operations.
Apply the associative, commutative, inverse and identity properties for addition and for multiplication.
Apply the distributive property.
Simplify a general linear expression using addition, subtraction and multiplication by a constant.
Solve linear equations having one solution, no solution or an infinite number of solutions.
Solve linear equations by simplifying one or both of the linear expressions.
Solve linear equations with expressions including constant denominators.

Translate a verbal statement into a mathematical equation, and use the equations to solve a number problem.
Use an equation of the form ax = b to solve percent, uniform motion, and unit price problems.
Solve problems involving angle measures of a triangle, and perimeters of triangles and rectangles.
Solve problems involving values and mixtures.
Solve problems involving ratio and proportions.
Evaluate a formula given numerical values for the variables.
Solve a formula for a given variable.
Solve linear inequalities in one variable and graph the solutions on the number line.

Identify and interpret: coordinate system, number plane, origin, axis, quadrant, ordered pair, coordinate.
Plot points with given coordinates in the number plane.
Identify the coordinates of the ordered pair represented by a point in the number plane.
Given a linear equation, construct a table of ordered pairs and draw the graph of the line.
Define and interpret: slope, x-intercept, y-intercept.
Find the y and x-intercepts of a line and use them to draw the graph.
Use the slope formula to compute the slope of a line through two given points.
Identify and interpret: the equation of a line in slope-intercept form, in point-slope form and in standard form.
Determine the equation of a line when given: two points, a point and y-intercept, or a point and slope.
Draw graphs of linear inequalities in two variables.

Solve systems of two linear equations in two variables by graphing.
Solve linear systems which have one solution, no solution and multiple solutions.
Solve systems of two linear equations in two variables algebraically by the addition method.
Solve systems of two linear equations in two variables algebraically by the substitution method.
Solve applied problems using systems of two linear equations in two variables.

State and apply the rules for exponents.
Evaluate numerical expressions having integer exponents.
Simplify expressions with variables having integer exponents.
Express a number given in scientific notation in decimal notation.
Write numbers in scientific notation.
Perform operations on numbers in scientific notation and express the answers in scientific notation.

Define and identify: monomial, binomial, polynomial.
State the degree of a term, the degree of a polynomial, and write a polynomial in descending powers of a variable.
Find the sum and difference of two polynomials.
Multiply a polynomial by a monomial or a binomial.
Divide a polynomial by a monomial.
Use long division to divide a polynomial by a binomial.
Define and identify: factor, common factor, greatest common factor.
Factor out a common factor from a polynomial.
Factor by grouping.
Factor the difference of two squares as a sum and difference of binomials.
Factor a perfect trinomial square as the square of a binomial.
Factor a trinomial into two binomial factors.
Factor a binomial or trinomial completely.
Solve quadratic equations by factoring.
Solve problems involving areas using quadratic equations which can be solved by factoring.
Solve problems involving the Pythagorean Theorem.

STUDY SKILLS AND SUCCESSFUL STUDENT OBJECTIVES

Classroom Policy, Procedures, Resources

SS1 Describe mathematics course attendance policy, classroom expectations and instructor contact information.
SS2 Explain mathematics course requirements including materials, assignments, quiz/test/exam schedule,
grading policy, exit requirements and prerequisite requirements.
SS3 Work collaboratively with fellow students, tutors and instructor.
SS4 Identify personal needs and use appropriate strategies and resources to meet those needs.

Time Management

SS5 Construct and follow a weekly schedule which allows sufficient time for school and study obligations.

Learning Styles and Learning Strategies

SS6 Identify personal learning styles; plan study strategies and choose study materials which match personal learning styles.
SS7 Identify and use active learning strategies which involve multiple learning channels.

Homework/Study Habits

SS8 Identify characteristics of a good personal study environment.
SS9 Identify and practice good study habits.

Textbook/Notebook

SS10 Identify the helpful features of a mathematics textbook.
SS11 Take notes in class using an organized note-taking method.

Tests

SS12 Describe and use good test-taking practices.
SS13 Use strategies to minimize test anxiety and develop a positive attitude.
SS14 Use test results to identify math errors and test-taking errors.

Math Models
ML1 Use concrete models to understand and explain math concepts, relationships and problem situations.
ML2 Construct number lines and other visual models.
ML3 Read and understand information given in tables, diagrams and graphs.
ML4 Show numerical information and relationships using tables, diagrams and graphs.
ML5 Use calculators and computers appropriately as tools in learning mathematics.

Problem Solving

ML6 Identify and apply each step in the problem solving process.
ML7 Identify and apply a variety of problem solving strategies.

Math Language

ML8 Use math terms and symbols correctly.
ML9 Translate math symbols into words.
ML10 Understand and apply formulas.
ML11 Translate words into mathematical expressions.