
MAT 064  College Prep Math Credits: 4 Lecture Hours: 4 Lab Hours: 0 Practicum Hours: 0 Work Experience: 0 Course Type: Coll Prep This is a college preparatory course for students with no algebra background or for students who need to review. It is designed to prepare students for enrollment in MAT 110 (Math for Liberal Arts) or MAT 156 (Statistics). This course includes math study skills, arithmetic skills, problemsolving, algebra and geometry. This class is not recommended for science, math or engineering majors. College preparatory courses cannot be used to fulfill degree requirements. Prerequisite: Minimum ALEKS score of 10% or MAT 045 with grade of C or higher. Competencies
 Practice study strategies that lead to math success
 Explain thinking skills used in the study of mathematics
 Demonstrate effective math study techniques
 Identify resources for math help
 Apply the four arithmetic operations to whole numbers, fractions, and decimals
 Apply the four arithmetic operations to whole numbers
 Apply the four arithmetic operations to integers
 Apply the four arithmetic operations to fractions
 Apply the four arithmetic operations to decimals
 Apply the four arithmetic operations to any expression involving whole numbers, integers, fractions, and decimals
 Interpret algebraic expressions using the four arithmetic operations
 Relate number theory to arithmetic calculations
 Write related sentences
 Write true number sentences using < or >
 Round numbers to a given place value
 Simplify expressions using the rules for order of operations
 Find the factors and multiples of a number
 Find the GCF of two or more numbers
 Find the LCM of two or more numbers
 Execute calculations involving ratios, proportion, and percent
 Write ratios and percentages in fractional notation
 Write percentages in decimal notation
 Write ratios and proportions for verbal problems
 Translate percent problems into proportions
 Solve proportions using variables
 Develop basic understanding of simple statistics and probability
 Interpret data from tables, charts, and various graphs
 Compute mean, median, and mode
 Determine sample space and basic probabilities
 Distinguish measurable attributes of objects and the units, systems, and processes of measurement
 State the common units of measure of weight, mass, capacity, length, time and temperature
 Make decisions about units and scales that are appropriate for problem situations involving measurement
 Calculate perimeter and circumference.
 Find the area of parallelograms (including squares and rectangles), triangles, trapezoids, and circles
 Calculate the volume of a rectangular solid, cylinder, sphere, and cone
 Calculate perimeter and area using variables
 Explore what happens to measurements of a twodimensional shape such as its perimeter and area when the shape is changed in some way
 Interpret patterns and relations
 Illustrate patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another.
 Analyze how both repeating and growing patterns are generated.
 Generalize geometric and numeric patterns
 Analyze a variety of patterns with tables, graphs, words, and, when possible, symbolic rules
 Identify patterns as linear or nonlinear and contrast their properties from tables, graphs, or equations
 Generalize patterns using explicitly defined and recursively defined formulas
 Find the nth term of an arithmetic and geometric sequence
 Simplify algebraic expressions
 Calculate an expression for a given value of the variable
 Use the commutative or associative property to simplify a given expression
 Use the distributive property to simplify an expression
 Use the properties of 0 or 1 to simplify an expression
 Identify the value of a given expression with exponents
 Implement the orderofoperations rules
 Solve firstdegree equations and inequalities in one variable
 Classify statement as identity, contradiction, or conditional
 Solve linear equations/inequalities involving onestep transformations using the addition property of equality
 Solve linear equations/inequalities involving onestep transformations using the multiplication property of equality
 Solve linear equations/inequalities involving two transformations
 Solve linear equations for one variable in terms of other variables
 Write models for verbal problems that produce firstdegree equations and inequalities in one variable.
 Translate phrases and sentences written in words into algebraic expressions
 Write an equation to solve a given word problem
 Evaluate expressions involving exponents
 Define a positive exponent
 Define the zero exponent
 Define a negative exponent
 Use exponent rules for products, quotients, and powers
 Perform basic operations using scientific notation
 Define and evaluate square roots of real numbers
 Write the equation of a specified line
 Define slope
 Determine the slope, given two points
 Determine the slope, given the equation of a line
 Write an equation for a line given the slope and the yintercept
 Write an equation for a line given the slope and one point (not the yintercept)
 Write an equation for a line given two points
Competencies Revised Date: AY2023
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