Chapter 3: Linear Functions Section 1: Slope with Grid
Topics in Algebra 1 © 2001 Texas Instruments Teacher Notes 3-7
Common Student Errors
(continued)
•
Students can calculate the slope for the fourth segment in four ways.
With the animation to show direction, students usually will begin counting with the upper
left-hand point on the segment.
5 spaces to the right (+5) and
6 spaces down (
M
6)
to get
M
6
à
5
6 spaces down (
M
6) and
5 spaces to the right (+5)
to get
M
6
à
5
Without the animation to show direction, students may be as likely to begin counting from
the lower right-hand point on the segment.
6 spaces up (+6) and
5 points to the left (
M
5)
to get 6
àM
5
5 points to the left (
M
5) and
6 spaces up (+6)
to get 6
àM
5
Slope =
m
=
6
M
5
=
M
6
5
=
M
6
5
All four ways of counting are correct, resulting in the same slope. The
Observations
reinforce
this, stating, “The slope between any two points on a line is always the same ratio.”
Student Worksheet Notes with Answers
Overview
Tell students:
1. How to find the
Overview
, or tell them to review the instructions on the worksheet.
2. How to navigate the application, if they are not yet familiar with the application.
3. To scroll through the
Overview
on the calculator. Point out the new terms, definitions, and
concepts, and tell students to look for them as they go through the
Overview
.
or
or
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