Freshman Math Program - TRS 92 - Intermediate Algebra

TRS 92 Learning Objectives

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

92-1 Equations

Given a linear equation with one variable, students will be able to solve by…

1. Clearing fractions
2. Using the distributive property
3. Using the addition and multiplication properties

Given a literal equation, students will be able to…

1. Solve for the given variable

Given the conversion factors, students will be able to…

1. Set up a unit analysis problem to make a conversion with multiple steps

92-2 Inequalities

Given an inequality (with one variable) students will be able to…

1. Solve algebraically
2. Graph the solution
3. Describe the solution using inequality notation

Given an inequality (with two variables) students will be able to…

1. Solve the solution graphically

92-3 Functions

Given a function in any of the four forms (algebraic,  table, graph, in context), students will be able to…

1. Identify a function as a relationship of the dependent variable being dependent upon the independent variable
2. Demonstrate the proper use of function notation
3. Identify dependent and independent variables in context
4. Evaluate functions
5. Identify domain and range based on a graph

92-4 Linear Functions

General

Given the equation for a linear function, students will be able to …

1. Create a table
2. Change equation from standard to slope-intercept form
3. Write an equation using parallel relationships

Intercepts

Students will be able to …

1. Solve for vertical and horizontal intercepts from an equation in standard form
2. Identify vertical intercept from slope-intercept form
3. Interpret intercepts in context

Slope

Students will be able identify the slope of a linear function given …

1. Two points
2. A graph

Given a graph, equation, or context, students will be able to …

1. Identify type of slope (negative, positive, zero, undefined)

Given a context, students will be able to …

1. Interpret the meaning of the slope

Equations

Students will be able to write equations for linear functions given …

1. Slope and one point (other than vertical intercept)
2. Table of values
3. Context with ARC and initial value

Students will be able to …

1. Identify and write equations for horizontal and vertical lines

Given an equation, students will be able to …

1. Solve for independent and dependent values
2. Interpret the solution to an equation in context

92-5 Graphing

Students will be able to graph a linear function by hand given …

1. An equation
2. A table
3. A point and a slope
4. Two points

Using the graphing calculator with a standard window or with a given a window, students will be able to…

1. Graph linear functions
2. Graph exponential functions
3. Identify the solution to a system of equations using  technology

92-6 Systems of Equations

Given a system of equations, students will be able to…

1. Identify the number of solutions (e.g., one, infinitely many, none)
2. In the case of one solution to a system of linear equations, solve for the solution to that system using the elimination or substitution method
3. Identify the solution graphically
4. Interpret the solution if the  system is given in context

92-7 Exponential Functions

Given an exponential function, students will be able to…

1. Identify the growth or decay factor
2. Determine the growth or decay rate
3. Write an equation from a vertical intercept and a rate, both with and without context

92-8 Expressions

Given algebraic expressions, students will be able to…

1. Use the Laws of Exponents to simplify expressions containing exponents (positive, negative, zero,and rational)
2. Change simple rational exponent expressions to radical form
3. Simplify numeric radicals with a calculator
4. Add, subtract, and multiply polynomial expressions
5. Factor polynomialsd( GCF, trinomials with leading coefficient of 1)
6. Perform multiplication and division with scientific notation using the Laws of Exponents

92-9 General Mathematical Skills

1. Estimate and determine if an answer is reasonable and justify reasoning
2. Explain mathematical concepts and procedures using appropriate mathematical terminology in writing
3. Use the TI–83 calculator to perform calculations and to graph equations using a standard window or a given window
4. Organize and update a math portfolio as directed in the portfolio guide