# Pre-Algebra [Competency Based] (1st semester)

## Pre-Algebra [Competency Based] (1st semester)

Course Description\nPre-Algebra helps students make a successful transition from arithmetic to algebra by focusing on basic concepts of arithmetic and the applications of mathematics. Students learn how to perform operations with integers, fractions, and decimals. Students expand this knowledge to create expressions and to solve basic linear equations and inequalities. Students use their knowledge of fractions to work with ratios, rates, and proportions. Next, students explore how to display visual representations of numbers with bar graphs, histograms, and circle graphs. They take this skill and apply it to algebra as they plot points and basic equations on the coordinate plane. Next, students complete an exploration of measures of central tendency, data displays, and simple probabilities. The course ends with a study of essential topics for future mathematics courses, including unit conversion, angle classification, area, and volumes of geometric figures. The course highlights the math skills needed to be successful in everyday life and prepares students for future mathematics courses.\n\nCourse Breakdown\n\n Whole-number operations\n Averages\n Integers\n Fractions\n Common denominators\n Mixed numbers\n Complex fractions\n Decimals Decimal multiplication and division\n Algebraic expressions\n Operations with algebraic expressions\n Evaluating expressions\n Translating\n Linear equations\n Operations with equations\n\n\nCourse Goals\n Model and solve problems with rational numbers.\n Recognize and apply the properties of real numbers.\n Represent information with fractions. Evaluate algebraic expressions using the order of operations.\n Simplify algebraic expressions and equations.\n Translate words into mathematical expressions.\n Solve algebraic equations using basic calculations and the properties of equality.