# Freshman Math Program

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Learning Objectives for FMP coursesTRS 82 - Beginning Algebra

## TRS 82 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:

- Simplify fractions
- Change improper fractions to mixed numbers, and back again
- Add, subtract, multiply and divide rational numbers

Students will be able to:

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

**82-2 Number Theory**

Students will be able to:

- Identify prime and composite numbers
- Differentiate between a “term” and a “factor” and “multiples”
- Decompose a number into its prime factors
- Identify a greatest common factor (GCF) and use to factor simple polynomials
- Use inequality symbols correctly
- 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:

- Add, subtract, multiply and divide expressions containing numbers and variables
- Estimate irrational roots
- Simplify perfect root radicals containing numbers and variables ( e.g.,
*cube root of x*^{3}; √(x^{2}y^{4}))

Students will be able to:

- Apply associative, commutative, and distributive properties to algebraic expressions
- Simplify algebraic expressions using the Order of Operations
- Combine like terms
- Simplify expressions with positive exponents
- Add and subtract polynomials
- Multiply binomials

**82-4 Percents and Ratios**

Students will be able to:

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

**82-4 Equations, Inequalities and Graphs**

- Solve simple linear equations with one variable, including those with simple fractions
- Graph a linear equation given the equation or a table
- Identify ordered pairs that solve a linear equation given a graph, a table or an equation
- Find the slope of a line given points on the line or a graph
- Understand that a linear function can be represented in multiple ways (e.g., graph, table, equation)
- Graph the solution to a linear inequality with one variable on a number line

**82-5 General Mathematical Skills**

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