## 8.3.6 Review

Assess yourself!  Check to see if you know all of the things that you are supposed to know after completing this chapter:

Chapter 3 Checklist of things to know:

• The difference between a square and a square root
• Eg: square of 9 means : find out 9 x 9
• Eg: square root of 9 means : “what number times by itself makes 9”
• What is a perfect square?
• Have square roots with no decimal
• A whole number squared
• Use prime factorization to show that a number is a perfect square
• Estimate a square root and explain your reasoning
• Pythagorean Relationship
• Know the hypotenuse
• Know the equation / formula
• Use Pythagorean relationship to show that a triangle is a right triangle
• Find the missing side in a right triangle, and show your work.
• Solve problems where you need to draw a triangle

Assignment:

• Review questions are optional, but are a good test to see if you understand all of the concepts: p112 #1-9, 11-17

## 8.3.1 Squares and Square Roots

Understanding squares and square roots is an important part of working with the Pythagorean Relationship.

Start by watching the 4 videos that accompany your notes.  Make appropriate notations in your notebook before coming to class and prepare to discuss the important concepts.

Resources

Assignment:

Things you should know after today:

• What is the square of a number
• What is a perfect square
• How can prime factorization be used to check for perfect squares
• What is meant by a square root
• What is the difference between the square of a number and the square root of a number

## 8.3.2 Exploring Pythagoras

Last class we learned about the opposite operations squaring, and square rooting.  These are two new operations that are quite different from multiplying, dividing, adding and subtracting.

These two operations become quite important as we start to explore the Pythagorean relationship.

Resources

Assignment

• p92 #5, 7, 10, 11, 12, 13, 15, 16, 19, 21

Things you should know after today:

• identify the hypotenuse in a right triangle
• state the pythagorean relationship in words
• use the pythagorean relationship to determine if a triangle has a 90 degree angle

## 8.3.3 Estimating Square Roots

Resources

Assignment

• p99 #4, 5, 7, 9, 10, 12-15 19, 20

Things you should be able to do after today:

• estimate the square root of a whole number, accurate to 1 decimal place without the use of a calculator

## 8.3.4 The Pythagorean Relationship

Resources

Assignment

Things you should be able to do after today:

• if you know the lengths of two sides in a right triangle, use the Pythagorean relationship to determine the length of the 3rd side