MATH 080 - Prealgebra

4 Credit: (4 lecture, 1 lab, 0 clinical) 5 Contact Hours: [Math Level 1 ]

This course is designed to help students make the transition from arithmetic to algebra. Students will see an introduction to algebraic concepts early and repeatedly in the course along with traditional arithmetic topics, thus lying the ground work for the next mathematics course. Students will explore the relevancy of mathematics in everyday life and in the workplace by emphasizing and integrating the following throughout the course: real-life and real-data applications, data interpretation, conceptual understanding, problem solving, writing, cooperative learning, number sense, estimation, critical thinking and geometric concepts.
OFFERED: fall and spring semesters

Course Goals/ Objectives/ Competencies:
Goal 1:  Correctly Add and Subtract Various Types of Numbers

Add and subtract whole numbers and integers
Add and subtract like and unlike fractions
Add and subtract decimals
Estimate when adding or subtracting decimals
Add and subtract mixed numbers
Add and subtract polynomials
Use rounding to estimate sums and differences

Goal 2:  Correctly Multiply and Divide Various Types of Numbers

Multiply and divide mixed and whole numbers, integers, fractions, and decimals
Perform long division
Estimate when multiplying and dividing decimals
Multiply and divide decimals by powers of 10
Find unit rates and unit prices
Multiply numbers in scientific notation
Find the least common denominator of a list of fractions

Goal 3:  Apply Order of Operations to Simplify Expressions and Solve Equations

Solve problems by estimating
Simplify expressions containing decimals and fractions and mixed numbers
Use properties of numbers to combine like terms
Use properties of numbers to multiply expressions
Determine whether two fractions are equivalent
Evaluate expressions containing exponents including expressions with fraction bases
Evaluate algebraic and polynomial expressions given various replacement values (fractions, decimals, integers, etc.)
Solve linear equations containing parentheses
Solve equations and applications containing fractions, decimals, and mixed numbers
Solve problems by writing proportions
Determine whether proportions are true
Find an unknown number in a proportion
Find percent of increase and percent of decrease
Calculate sales tax, total price, commissions, discounts and sales price
Calculate simple and compound interest
Identify solutions of equations and complete ordered pair solutions of equations
Solve problems by adding, subtracting, multiplying and dividing whole numbers, integers, decimals, and fractions (including real world applications)
Determine whether ordered pairs are solutions of equations

Goal 4:  Expressing Numbers and Sentences in Various Mathematical Forms

Write fractions as decimals
Write a fraction to represent parts of figures or real-life data
Write ratios/rates as fractions
Write percents as decimals or fractions
Write decimals and fractions as percents
Write mixed numbers as improper fractions
Write improper fractions as mixed numbers and whole numbers
Write decimals in standard form and fraction form
Write sentences as proportions
Write percent problems as proportions and equations
Write repeated factors using exponential notation
Round whole numbers and decimals to given place value
Write numbers in scientific notation
Convert numbers in scientific notation to standard form
Write equivalent fractions
Find the place value of a digit in a whole number
Write a whole number in words, standard form and expanded form
Translate word phrases to mathematical expressions or equations
Write a number as a product of prime numbers
Write a fraction in simplest form
Find the absolute value of a number
Find the opposite of a number
Know the meaning of place value for a decimal number and write decimals in words

Goal 5:  Calculate Probability and Statistics

Find the mean (or average) of a list of numbers
Find the median of a list of numbers
Find the mode of a list of numbers
Use a tree diagram to count outcomes
Find the probability of an event

Goal 6:  Read/Display Data in the Rectangular Coordinate System and Tables

Plot points on a rectangular coordinate system
Graph integers and fractions/ mixed numbers (positive and negative) on a number line
Read a variety of graphs (pictographs, bar graphs, histograms/ frequency distribution, circle, line, frequency) and tables
Construct a variety of graphs (pictographs, bar graphs, histograms/ frequency distribution, circle, line, frequency)

Goal 7: Apply Geometry Principles

Decide whether two triangles are congruent
Find the ratio of corresponding sides in similar triangles
Find unknown lengths of sides in similar triangles
Identify lines, line segments, rays, and angles
Classify angles as acute, right, obtuse, or straight
Identify complementary and supplementary angles
Find measures of angles
Use formulas to find area and perimeter/circumference
Find the area of plane regions
Find volume and surface area of solids

Goal 8: Apply Measurement Principles and Conversions

Define U.S. and metric units of length and convert from one unit to another
Use mixed U.S. units of length
Perform arithmetic operations on U.S. and metric units of length
Define U.S. units of weight and metric units of mass and convert from one unit to another
Perform arithmetic operations on U.S. units of weight and metric units of mass
Define U.S. and metric units of capacity and convert from one unit to another
Perform arithmetic operations on U.S. and metric units of capacity
Convert between the U.S. and metric systems
Convert temperatures from degrees Celsius to degrees Fahrenheit and vice versa