Education Technology

Slope/Triangle Area Exploration

Author
Subject Area
Math: Geometry: Analytic Geometry
Math: Algebra I: Equations and Inequalities
Math: Algebra I: Linear Functions
Math: Algebra I: Rational Functions
Math: Geometry: Points, Lines and Angles
Math: Geometry: Reasoning
Math: Geometry: Triangles
Level
9-12
College
Activity Time
90 Minutes
TI Calculator
TI-Nspire CX series
Resource Types
Lessons

Slope/Triangle Area Exploration

Activity Overview

Using multiple representations afforded by the TI-Nspire and TI-Nspire CAS, students investigate the following problem (Adapted from Philips Exeter Academy, 2007).

The equation y − 5 = m (x − 2) represents a line, no matter what value m has.
(a) What are the x- and y-intercepts of this line?
(b) For what value of m does this line form a triangle of area 36 square units with the positive x- and y-axes?
(c) Describe the areas of the first-quadrant triangles.

Before the Activity

You should familiarize yourself with the associated .tns file, the activity guide, and the guided inquiry questions.

During the Activity

This document contains the Teacher Guide and Student Questions.

Author
Subject Area
Math: Geometry: Analytic Geometry
Math: Algebra I: Equations and Inequalities
Math: Algebra I: Linear Functions
Math: Algebra I: Rational Functions
Math: Geometry: Points, Lines and Angles
Math: Geometry: Reasoning
Math: Geometry: Triangles
Level
9-12
College
Activity Time
90 Minutes
TI Calculator
TI-Nspire CX series
Resource Types
Lessons
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