Unit 3 - Similarity and Quadrilaterals

Simplifying Radicals/ Multiplying and Dividing Radicals - This lesson is more of a refresher that you learned in Algebra 1. Now that we have learned what we can about triangles, we can move on to other portions of geometry, like Similarity. But first, let's check out how to work with roots first!

• Lesson - Simplifying Radicals/Multiplying and Dividing Radicals

  • What you may need for this lesson:

    • Multiplying Integers PowerPoint

    • Divisibility Rules PowerPoint

Quadratics Practice: Solving by taking the Square Root - Now that we've refreshed on how to work with roots, let's use that knowledge to actually solve a quadratic! Learn how to work with roots to come up with an answer to any quadratic problem!

• Lesson - Quadratic Practice - Solving by taking the root

  • What you may need for this lesson:

    • Multiplying Integers PowerPoint

    • Undoing Procedures PowerPoint

Quadrilaterals - You are now a master at triangles and all things that deal with them. So now, let's take a look at what happens when you combine two triangles by their hypotenuse! Check out all of the special properties they have, as well as what is needed to create them here!

• Lesson - Quadrilaterals

Distance Formula - Now we're going to take a step back from shapes, and look at what happens with lines, more specifically, how can we tell how long they are without a ruler, or some sort of measuring device? See how to do that here!

• Lesson - Distance Formula

  • What you may need for this lesson:

    • Multiplying Integers PowerPoint

    • Undoing Procedures PowerPoint

    •  Simplifying Radicals/Multiplying and Dividing Radicals

Dilations - Now that you are very well versed in congruence, as well as rigid transformations, let's talk about the non-rigid type. How do we make something shrink, but maintain the same shape? What about mathematically grow? Find out how to do that here!

• Lesson - Dilations

  • What you may need for this lesson:

    • Multiplying Integers PowerPoint

    • Proportions PowerPoint

Similarity - So, we've seen what dilations can do, but what does that mean to the shape that we have dilated? Is it exactly the same? Or has it changed? This is how similarity works, and it's more complicated than you may think. Find out how to recognize similar shapes, as well as how to prove them here!

• Lesson - Similarity

  • What you may need for this lesson: 

    • Introduction to Proofs

    • Proportions PowerPoint