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
- Unit project: Design your menu (follow the link for assignment criteria)

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

- Blank Notes Template
- video #1: Creating a factor tree for a composite number
- video #2: What is a perfect square?
- video #3: What is a square root?
- video #4: Solve simple problems using squares and square roots

Assignment:

- p 85 #7-9, 11, 13, 15, 17, 18 21, 22 *25
- Youtube: Why is the correct answer B?

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

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

- Notes: Blank template
- Math Interactive: Exploring Pythagorean Relationship
- Video #1: Exploring the Pythagorean Relationship
- Video #2: The Pythagorean Relationship and the Right Triangle
- Video #3: Using the Pythagorean Relationship

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

Resources

- Notes 8C.3.3 Blank Template
- Video #1: How to estimate square roots
- Video #2: Solving a problem by estimating square roots
- Video #3: Example 3

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

Resources

- Video #1: Review of Pythagorean Relationship
- Video #2: Using Pythagorean Relationship to find a missing side
- Video #3: Example 3
- Notes: While the videos explain the basic idea of how to use Pythagorean relationship, your work should be shown a specific way. Once you are comfortable with the concept, look at the examples in the notes and follow the same steps for organising your work.

Assignment

- Begin making the good copy of the menu for your Restaurant Project. You will be finding two different lengths and widths that could make a diagonal length of 25cm
- p104 #3-5, 7-13 *15

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