Title: Module 5 Finance, Statistics and Graphs
Course: Technical Math for Industry > Section: Module 5.0: Concepts in Statistics and Graphing

Overview and Introduction

This module contains interactive tutorials to help you practice or refresh your math skills on the following topics:

Finance

Lesson 40 Learning Objectives-Finance

- Define and use ordinary and exact interest.
- Demonstrate the different ways of calculating interest on loans.
- Define the types of commission and figure commission using each type.
- Define a cash discount and be able to calculate the discount

Statistics

Lesson 41 Learning Objectives-Graphing Statistical Graphs and Tables

- Graphing Data
  - Read and interpret data from tables and pictographs.
  - Read and interpret data from bar graphs and histograms.

Other Types of Graphs
  - Read and interpret data from circle graphs (pie charts).
  - Read and interpret data from simple line graphs.
  - Read and interpret data from stem and leaf displays.

Lesson 42 Learning Objectives-Measures of Center

- Measures of Center
  - Find the mean, median, and mode of a set of numbers.
  - Find the range and midrange of a data set.
  - Read and interpret data from box-and-whisker plots.
  - Solve application problems that require the calculation of the mean, median, range, or midrange.

Lesson 43 Learning Objectives-Graphical Representation

- Use and Misuse of Graphical Representations
  - Identify which type of graph best represents the data for a given situation.
  - Explain how graphs can lead to misinterpretation of data.

Lesson 44 Learning Objectives-Probability

- Probability
  - Define event, outcome, trial, simple event, sample space and calculate the probability that an event will occur.
  - Calculate the probability of events for more complex outcomes.
  - Solve applications involving probabilities.

Graphing

Lesson 45 Learning Objectives-Graphs and Applications

- The Coordinate Plane
  - Plot ordered pairs on a coordinate plane.
  - Given an ordered pair, determine its quadrant.
- Graphing Linear Equations
  - Use coordinate pairs to graph linear relationships.
  - Graph a linear equation using x- and y- intercepts.
  - Determine whether an ordered pair is a solution of an equation.
  - Solve application problems involving graphs of linear equations.

Lesson 46 Learning Objectives-Slope and Writing the Equation of a Line

- Finding the Slope of a Line
  - Find the slope of a line from a graph.
  - Find the slope of a line given two points.
  - Find the slope of the lines x = a and y = b.
- Writing the Equation of a Line
  - Find the slope and the y-intercept, and write an equation of the line.
  - Given the slope and a point on the line, write an equation of the line.
  - Given two points, write the equation of a line.
- Parallel and Perpendicular Lines
  - Find the slope of a line that is parallel or perpendicular to an existing line.
  - Given a point and a line perpendicular to or parallel to the unknown line, write the equation of the unknown line.
- Graphing Linear Inequalities
  - Determine whether an ordered pair is a solution to an inequality.
  - Graph an inequality in two variables.

Lesson 47 Learning Objectives-Graphing Linear Equations

- Rate of Change and Slope
  - Calculate the rate of change or slope of a linear function given information as sets of ordered pairs, a table, or a graph.
  - Apply the slope formula.
- Intercepts of Linear Equations
  - Calculate the intercepts of a line.
  - Use the intercepts to plot a line.
- Graphing Equations in Slope Intercept Form
  - Give the slope intercept form of a linear equation and define its parts.
  - Graph a line using the slope intercept formula and derive the equation of a line from its graph.
- Point Slope Form and Standard Form of Linear Equations
  - Give the point slope and standard forms of linear equations and define their parts.
  - Convert point slope and standard form equations into one another.
  - Apply the appropriate linear equation formula to solve problems.

Lesson 48 Learning Objectives-Parallel and Perpendicular Lines

- Parallel Lines
  - Define parallel lines.
  - Recognize and create parallel lines on graphs and with equations.
- Perpendicular Lines
  - Define perpendicular lines.
  - Recognize and create graphs and equations of perpendicular lines.

Lesson 49 Learning Objectives-Writing, Solving and Graphing Inequalities in One Variable

- Writing, Solving and Graphing Inequalities in One Variable
  - Solve algebraic inequalities in one variable using a combination of the properties of inequality.
  - Represent inequalities on a number line.

Solving and Graphing Absolute Value Inequalities
  - Solve absolute value inequalities in one variable using the Properties of Inequality.
  - Represent absolute value inequalities on a number line.

Writing and Using Inequalities
  - Develop inequalities to represent real world situations and use them to solve problems.

Lesson 50 Learning Objectives-Solving and Graphing Inequalities in 2 Variables

- Solving and Graphing Linear Inequalities in Two Variables
  - Represent linear inequalities as regions on the coordinate plane.
  - Determine if a given point is a solution of a linear inequality.

The lessons are designed to be self-paced and accomplished at your own pace.

If you have taken the Math Readiness Quiz, you will understand where your math strengths and weakness are and can tailor your learning to just the topics and modules you need. You may review the material as many times as you need and take the quizzes as many times as needed to increase your proficiency in the math concept.