Created on: February 25, 2015

Website Address: https://library.curriki.org/oer/8EE6-Understand-the-connections-between-proportional-relationships-Use-similar-triangles-to-explain-

TABLE OF CONTENTS

Understand the connections between proportional relationships: Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

SlopeSupports the following Standards of Mathematical Practice• 2 Reason abstractly and quantitatively.• 3 Construct viable arguments and critique the reasoning of others.• 5 Use appropriate tools strategically.• 6 Attend to precision.• 7 Look for and make use of structure.• 8 Look for and express regularity in repeated reasoning.

SlopeSupports the following Standards of Mathematical Practice• 2 Reason abstractly and quantitatively.• 3 Construct viable arguments and critique the reasoning of others.• 5 Use appropriate tools strategically.• 6 Attend to precision.• 7 Look for and make use of structure.• 8 Look for and express regularity in repeated reasoning.