Angela's Scribe Post - Prime Factorization

Today in class we started off with listing the things we know about rectangles and squares.

Rectangles:

• Has four sides:
• Consisting of 2 sets of parallel sides
• The sides are labeled as "l" for length and "w" for width. (Making it different from squares)
• To find the perimeter of a rectangle you add all of the lengths and widths all together, and the formula is perimeter = 2l + 2w

Next we determined how to find the area of a rectangle:

Squares:

• 4 equal sides
• To determine the perimeter of a square you multiply its sides to four or add all of its side together. (perimeter = 4 s)

Next we determined how to find the area of a square:

After that we learned about Prime Factorization:

Prime Numbers: Have only 2 factors 1 and itself.

2, 3, 5, 7 are examples of prime number. (more here)

How to determine if something is squared:

1. Put all numbers (from the Line of Prime Factorization) onto a square:

2. Multiply each side:

If each side are equivalent to each other then the number is a squared. But in this case both side are not equivalent making the number 24 not squared.

Here's a video to help you more with squares, rectangle, and prime factorization:

Here are some games on:

Factors

Prime Factorization

Squares and Square Root

Don't forget to finish the following home works:

• Home work booklet pg. 22-25
• Play Manga High Challenges. (And other games)

Don't forget to comment!

PART II: Pythagorean Relationship

1. Answer in a short paragraph and with diagrams:

The Pythagorean relationship is the relationship between the lengths of the sides of a right triangle. The sum of the areas of the squares attached to the leg of a right triangle equals the area of the square attached to the hypotenuse.

For Example:

Legs:

• The legs are the two shorter sides of a right triangle.
• The legs of a right triangle are perpendicular to each other.

Hypotenuse:

• The longest side of a right triangle.
• Is opposite of the right angle.

2. Solve for the missing side length.

3. Is this a right triangle? Prove it!!!