HW: ws 253- 4,17-20,29-30,49-50
ws 36/43 9+10 both

1) Warm up
estimate the square root of 66
find the next five perfect squares from 4
ex: square root of 4=2

2) Discuss HW

ws 36: number 8 was confusing to some people, but it follows the same steps as we were doing the whole unit

(3x+y)(x^2+3x+4y)=3x^3+9x^2+12xy+3xy+x^2y+4y^2
=3x^3+9x^2+15xy+x^2y+4y^2
*shortened steps
*In standard form, the highest x exponent goes first, the highest y exponent goes last
ws43

8. for number 8, you needed to factor out the GCF which was six
12x^2+-6x+-18
6(2x^2+-1+-3)
6[2x(x+1)+-3(x+1)]
6(2x-3)(x+1)

3)went over Pythagorean theorem dot paper

The pattern is when the area of the square off leg a, is added to the area of the square off of leg b, OF A RIGHT TRIANGLE, their sum is the area of the square off of the hypotenuse

The equation is a^2+b^2=c^2

example
leg a is 3cm
leg b is 4 cm

a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
square root both sides
c=5 the hypotenuse's length is 5

USES FOR PYTHAGOREAN THEOREM
1. to find the lengths of any leg or side of a right triangle
2.Can use it to prove if a a triangle is a right triangle
EX) 2,4,6
a^2+b^2=c^2
2^2+4^2=6^2
4+16=36
20=36 NO
3. It helps find the missing lengths in context



After everything was done, Mrs. Dixon told us about her cottage, how it was built using the Pythagorean theorem
and how this dude who worked for her was related to the queen.

:D

sorry it under fourth hour the tag didn't work