Day 60 - Distance Formula - 04.14.15

• Unit 5 Test on Friday, April 17th!

Questions

Bell Ringer
• Posted on the board!

Review
• Square Roots and Rational Exponents
• Simplifying Radical Expressions (video) (example video)

Lesson
• Distance Formula

Exit Ticket
• Posted on the board at the end of the block!
Lesson Objective(s)
• How can the distance between two points be determined given their position?
Skills
1. Determine the distance between two points given their coordinates.
2. Determine a coordinate based on the known distance and a known coordinate.

In-Class Help Requests

Standard(s)
• CC.9-12.A.REI.2 Understand solving equations as a process of reasoning and explain the reasoning. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
• CC.9-12.N.RN.1 Extend the properties of exponents to rational exponents. Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want [5^(1/3)]^3 = 5^[(1/3) x 3] to hold, so [5^(1/3)]^3 must equal 5.
• CC.9-12.N.RN.2 Extend the properties of exponents to rational exponents. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
• CC.8.G.8 Understand and apply the Pythagorean Theorem. Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Mathematical Practice(s)
• #1 - Make sense of problems and persevere in solving them
• #2 - Reason abstractly and quantitatively
• #7 - Look for and make use of structure