# Freshman Math Program - TRS 82 - Beginning Algebra

## TRS 82 - Beginning Algebra Learning Objectives

Note:  All objectives allow for the use of a calculator unless otherwise noted.

82-1     Fractions and decimals

Students will be able to perform the following operations without a calculator:

1. Simplify fractions
2. Change improper fractions to mixed numbers, and back again
3. Add, subtract, multiply and divide rational numbers

Students will be able to:

1. Change a fraction to a decimal and a percent and back again
2. Know the proper situations in which to use a fraction, decimal or percent

82-2 Number Theory

Students will be able to:

1. Identify prime and composite numbers
2. Differentiate between a “term” and a “factor” and “multiples”
3. Decompose a number into its prime factors
4. Identify a greatest common factor (GCF) and use to factor simple polynomials
5. Use inequality symbols correctly
6. Interpret the meaning of scientific notation with whole number powers of 10

82-3 Expressions

Students will be able to perform the following calculations without a calculator:

1. Add, subtract, multiply and divide expressions containing numbers and variables
2. Estimate irrational roots
3. Simplify perfect root radicals containing numbers and variables  ( e.g., cube root of x3; √(x2y4))

Students will be able to:

1. Apply associative, commutative, and distributive properties to algebraic expressions
2. Simplify algebraic expressions using the Order of Operations
3. Combine like terms
4.  Simplify expressions with positive exponents
6. Multiply binomials

82-4  Percents and Ratios

Students will be able to:

1. Calculate and estimate percents (finding the percent, finding the part, finding the whole)
2. Solve proportions (especially intuitively) in contexts involving percents.
3. Use benchmarks to estimate the magnitude of numbers

82-4  Equations, Inequalities and Graphs

1. Solve simple linear equations with one variable, including those with simple fractions (e.g. x/5 + 9 = 4/7 + 2x)
2. Graph a linear equation given the equation or a table
3. Identify ordered pairs that solve a linear equation given a graph, a table or an equation
4. Find the slope of a line given points on the line or a graph
5. Understand that a linear function can be represented in multiple ways (e.g., graph, table, equation)
6. Graph the solution to a linear inequality with one variable on a number line

82-5  General Mathematical Skills

1. Estimate and determine if an answer is reasonable and justify reasoning
2. Apply the concepts listed above to simple contextual situations
3. Use the TI–83 calculator to perform calculations
4. Organize and update a math portfolio as directed in the portfolio guide