Illinois State University Mathematics Department

MAT 312: Probability and Statistics for Middle School Teachers

Spring 1999
9:35 - 10:50 am TR STV 350A
Dr. Roger Day (

Discussion Notes: Session #10
Thursday 11 February 1999

Assignment Due Today
Linear Relationships

Four Representations
verbal, numeric, visual, symbolic

Constant Change: Slope

Axes Intercepts

A Sample Problem

Try These

Assignment for Next Time

Assignment Due Today

Linear Relationships: A Review

In our study of two-variable relationships, we will begin by looking at linear relationships. Before we take the leap from exploring and describing relationships through scatter plots to more precisely characterizing them using mathematical representations, let us briefly review characteristics and representations of linear relationships.

Here are four different ways to represent the same linear relationship between two data sets

Verbal Representations

For a pair of numbers, the second number is always two more than three times the first number.

Numeric Representations

  • order pairs: {(3,11),(7,23),(0,2),(-5,-13),(2/3,4),(1.7,7.1)}
  • table of values: