T7 Mathematics - Tables, Charts, and Graphs

Introduction

• Focus on graphical display types for the T7 mathematics portion of the TEAS exam.
• Key graphical displays: Cartesian coordinate chart, scatter plot, line graph, pie (circle) chart, bar graph.

Graphical Display Types

Cartesian Coordinate Chart

• Consists of two perpendicular axes (x and y).
• Origin at (0,0) for plotting data.
• Example: Plot (5,4) starting at origin, move right 5 spaces and up 4 spaces.

Scatter Plots

• Examine relationships between two data sets (variables).
• Example: Ice cream sales vs. environmental temperature.
• Independent variable on x-axis, dependent on y-axis.

Line Graphs

• Ideal for observing changes over time.
• Example: Produce sales over months, respiration rates over time.

Pie (Circle) Charts

• Show parts of a whole.
• Example: Reasons for nurses leaving a facility.

Bar Graphs

• Compare multiple groups or categories.
• Example: Number of electric cars per year.

Using Graphs

• Choose appropriate graph type based on data and desired analysis.
• Pie charts for proportions, line graphs for trends, bar graphs for comparisons.

Practical Application

• Important to label axes, include units, and provide a descriptive title.
• Scatter plots need a best-fit line to show data trends.

Graph Creation Errors

• Common errors: incorrect axis labels, inconsistent scaling, missing titles.

Practice Questions

• Identify graph types and their appropriate uses.

Linear, Exponential, and Quadratic Trends

Linear

• Constant rate of change.
• Example: Turtle population increases linearly.

Exponential

• Growth by a constant factor.
• Example: Turtle population doubling.

Quadratic

• Growth pattern described by a quadratic equation.
• Example: Turtle population with more complex growth pattern.

Understanding Graph Trends

• Increasing, decreasing, and no change trends.
• Outliers: Data points that deviate significantly from others.

Variables in Graphs

• Independent variable: cause (x-axis).
• Dependent variable: effect (y-axis).
• Example: Nurse-to-patient ratio vs. recovery time.

Correlation and Covariance

• Positive, negative, and no correlation examples.
• Covariance measures the direction of the relationship.

Proportionality

Direct Proportionality

• Variables increase/decrease together.
• Example: Distance traveled over time.

Inverse Proportionality

• One variable increases as other decreases.
• Example: Time taken to complete tasks vs. number of workers.

Conclusion

• Understanding graph types, trends, and relationships is crucial for TEAS exam success.
• Practice interpreting and creating graphs accurately.