Simplifying Radicals.

Notes:



The goal of simplifying radicals is to move as many whole numbers as possible from inside the square root to outside the square root. The way we do that is to build a prime factorization tree. When you have completed the tree, any like pairs of prime numbers are canceled out, and the prime gets put on the outside of the radical.

√48
/\
√2 √24
/\
√2 √12
/\
√2 √6
/\
√2 √3

There are two pairs of 2. Each pair gets to leave the radical (square root).

√2 x √2 = 2
√2 x √2 = 2

2 x 2 = 4

There is only one instance of the √3, so the 3 has to stay inside the square root, which means there is a 4 outside the radical, and a 3 inside.

4√3


Homework:

Study for quiz on simplifying radicals.

The Distance Formula.

Notes:


Homework:

None graded. Page 22 odds if you want practice for quiz on Wednesday.

Test 2.1 Review Key

The test will cover ONLY the items on the review. Parallel and Perpendicular slopes will not be on THIS test.

Parallel and Perpendicular Slopes.

Bellringer:


Notes:


Classwork/Homework:

p. 169 # 17-22
p. 175 # 7 - 24
p. 176 # 25 - 28, 33 - 36

Slope. Inside and Out.

Notes:

Depending on your class period we did a slope demonstration with a rope; either inside or outside.


Classwork/Homework:

Transversals.

Bellringer:


Notes:





Classwork/Homework:

Interval 1 Testing.

Today we ended Interval 1 with district-wide testing. I am excited to see how well ya'll do!

Interval 1 Review!

Check back tonight for the review key!

Technical difficulties. =[

I will keep trying to get a copy posted. Review your notes in the event this doesn't work tonight...

Test 1.3.

Test today!

Test 1.3 Review!

This is the third test from Interval I. Interval I is on Friday. The key to the review sheet will be posted this evening.

Alright! Home at last, and here is your key as promised!

Angle Pair Relationships!

Bellringer:

Multiplication Drill.

Notes:




Classwork/Homework:

p. 47, #4 - #13
p. 48, #20 - #28

and:

p. 48, #29 - #36 or
p. 50, #59

Angles!

Bellringer:


Notes:




Classwork/Homework:

p. 29, #1-16
p. 40, #44,45

and then either:

p. 40, #46-49 or
p. 41, #59,60

Test 2b and Open House!

Today was our test on Venn Diagrams, If/Then Statements, and Lines of Best Fit.

Also, tonight is open house! Bring your parents, guardians, or people to meet Mr. Ryals, and get some extra credit!

"Real" Geometry

We're starting to work from the book today. Those of you that wanted to do "real" geometry, today's the day!

Bellringer:

New seating assignments! If you are absent, make sure you check where you're supposed to be when you get back!

Notes:

Points

A point is one of the basic terms in geometry. We may think of a point as a "dot" on a piece of paper. We identify this point with a number or letter. A point has no length or width, it just specifies an exact location.

Lines

A line is one of the basic terms in geometry. We may think of a line as a "straight" line that we might draw with a ruler on a piece of paper, except that in geometry, a line extends forever in both directions. We write the name of a line passing through two different points A and B as "line AB" or as , the two-headed arrow over AB signifying a line passing through points A and B.

Line Segments

A line segment is one of the basic terms in geometry. We may think of a line segment as a "straight" line that we might draw with a ruler on a piece of paper. A line segment does not extend forever, but has two distinct endpoints. We write the name of a line segment with endpoints A and B as "line segment AB" or as . Note how there are no arrow heads on the line over AB such as when we denote a line or a ray.

Rays

A ray is one of the basic terms in geometry. We may think of a ray as a "straight" line that begins at a certain point and extends forever in one direction. The point where the ray begins is known as its endpoint. We write the name of a ray with endpoint A and passing through a point B as "ray AB" or as . Note how the arrow heads denotes the direction the ray extends in: there is no arrow head over the endpoint.

Classwork/Homework:


Again, let me reiterate, everyone must do the top two assignments. After that you must also choose one of the bottom three to do as well. If you want to do more than that feel free, but credit will be given only for the three completions.

Happy Labor Day!

Anyone know the origins of Labor Day? Take a minute and find out!

Test 2 Review.

Blank Sheets:

Test 2 review sheet I.

Test 2 review sheet II.

Best-fit handout.

Review Key:

Lines of Best Fit.

Bellringer:

One of my goals for you this year is multiplication proficiency. We will be having weekly drills to that end.

Notes:








Homework:

Study!

Permutations and Combinations.

Bellringer:


Notes:

How to use your calculator for permutations and combinations.

Classwork:

Homework:

More Quizzles and Venn.

Bellringer:


Notes:


Classwork:

(Just for fun: An extra quizzle if you want it)

Homework:

Handout on Venn Diagram. I will post a copy later this evening.