1. Chapter 6 More Right Triangles
Students will continue to study the similarity and side ratio relationships of right triangles. Students will understand more properties of special right triangles.

2. Section 6.1
Students will apply the Pythagorean theorem and properties of similar triangles to discover patterns in , triangles and Pythagorean Triples.

3. Rationalizing the Denominator
Students will continue to learn about simplifying radicals when in fractional form

4. Review
What is a radical? Square roots or other higher roots How do we write radicals other than square roots? How do we simplify square roots? Factor tree Perfect squares

5. Rationalize Denominator
When the radical is in the denominator? This is not written correctly We need to get the radical out of the denominator to write it in proper form

6. Process What is the radical in the denominator
Multiple both numerator and denominator by this radical
How do you multiply with radicals
Simplify numbers outside the radical

7. Examples

8. 6.1.4
Students will recall and apply exponential properties and explore what fractional exponents are.

9. Exponent Properties Review
Multiply
Divide
Negative
Exponent to exponent
Addition and Subtraction
Zero
Distribution

10. Fractional Exponents and Radicals
These are related Whatever the radical is that is the denominator How to convert back and forth

11. Examples
By the end can you come up with a process or general ideas Numerator is exponent Denominator is radical Does it matter the order you do it in

12. 6.1.1
Special Right Triangles: Students will review and apply special right triangle properties.

13. Review Ideas
Work as a group on 6-1 and 6-2 What are the rules you remember about Triangles Triangles

14. Examples

15. 6.1.2
Pythagorean Triples: Students will apply previous knowledge to determine patterns or right triangles with integers.

16. Group Work
Work as a group on 6-12 What rules can you determine What patterns can you determine

17. Pythagorean triples
This is very helpful with integers but can be used with radicals Think of the basic and multiply each side by the same thing What are the main triples 3,4,5 5,12,13 Work through 6-15

18. 6.1.3
Students will apply previous knowledge of Triangle properties and trig ratios to determine patterns and extend their understanding and knowledge.

19. Group work
6-25 – grad a triangle sheet from back table, 1 per group What do you notice 6-26 – what do you notive

20. Pythagorean Identity

21. Examples