Bell Ringer 12-15-10 1. What is the 25th term in the sequence 2, 5, 8, 11, …, 3n-1,… Solve 2. 5x = -25 3. 4x - 6 = 14 3 + 5x = -12 The area of a square piece of wrapping paper is 64 in2. Calculate the length of each side.

1. What is the 25th term in the sequence 2, 5, 8, 11, …, 3n-1,… Position (n) 1 2 3 4 Term 5 8 11 3n - 1 3(25) - 1 75 - 1 = 74 The 25th term is 74.

5x = -25 x = -5 3. 4x - 6 = 14 4x = 20 x = 5 3 + 5x = -12 5x = -15 x = -3

5. The area of a square piece of wrapping paper is 64 in2 5. The area of a square piece of wrapping paper is 64 in2. Calculate the length of each side.

Quiz 12-15-10 Trish works for a straight salary of $32,000 a year plus a commission of 4% on the real estate she sells. Which expression could be used to find her yearly income, if x = the total value of real estate sold? 32,000(0.04)x 32,000x + 0.4 32,000 – 0.04x 32,000 + 0.04x

Which expression can be used? Trish works for a straight salary of $32,000 a year plus a commission of 4% on the real estate she sells. Which expression could be used to find her yearly income, if x = the total value of real estate sold? Which expression can be used? Salary: $32,000 4% commission x = total real estate sold To find the amount of commission I would convert the % to a decimal and multiply by the amount of real estate sold (x). To find the total income, I would add the commission with the salary. Expression D can be used to find the income.

Speed Test 1. Get out a dry erase marker. 2. You have 1 minute to complete as many problems as you can. We will grade in 1 minute. 4. Graph your results. Keep the graph in your notebook. 5. We will do this every day.

Problem of the Week & Word Problem #3-4 1. You have 5 minutes to work on the problem of the week and word problem. 2. The problem of the week must follow the Read, Think, Solve, Justify format. 3. When you are finished, turn them in. 4. They are due Friday.

Accelerated Math 1. You have 10 minutes to work on your accelerated math. 2. Work out every problem. 3. When you complete the practice problems, bring them to me. If you have worked them all, I will allow you to submit your answers. 4. This is INDIVIDUAL…NO TALKING!

(one week after Christmas break) Math Sing-A-Long Project due Monday, January 10 (one week after Christmas break)

Class Work Pythagorean Theorem You will create two models of the Pythagorean Theorem. You will take notes and work examples.

Pythagorean Theorem If two side lengths of a right triangle are known, you can find the third length by using the Pythagorean Theorem.

Pythagorean Theorem Hypotenuse Leg Leg The hypotenuse is the longest side! Hypotenuse Leg Leg

Pythagorean Theorem Legs: Sides a and b Hypotenuse: Always side c

Pythagorean Theorem Theorem: a2 + b2 = c2 c a b

Pythagorean Theorem On your graph paper, draw a 3 by 4 triangle. Use the ruler to draw the diagonal. 3 4

Pythagorean Theorem Shade in the squares, representing the area of each side.

Pythagorean Theorem Create a new square by combining the two areas. Cut the square out.

Pythagorean Theorem Glue the square against the diagonal of the triangle. Count the units. Calculate the sides of the square.

Pythagorean Theorem Theorem: 32 + 42 = c2 a2 + b2 = c2 9 + 16 = c2 5 c 3 5 = c 4

Pythagorean Theorem a=8; b=?; c=10 On your graph paper, shade in squares, representing the area of each side.  

Pythagorean Theorem Cut the squares out. Lay the smaller square on top of the larger square. Calculate the number of squares that are not covered.   36 squares

Pythagorean Theorem Create a new square with an area of 36.  

Pythagorean Theorem On your graph paper, draw a 6 by 8 triangle. Use the ruler to draw the diagonal. Place the 3 different squares on the sides. 6   8

Pythagorean Theorem Theorem: 82 + b2 = 102 a2 + b2 = c2 64 + b2 = 100 -64 -64 b2 = 36 10 b 6 b = 6 8

Pythagorean Theorem A jogger runs north for 7 miles. He then runs East for 4 miles. How far away is the jogger from his starting point? 7 4 HINT: Draw a Picture.

Pythagorean Theorem 72 + 42 = c2 Theorem: a2 + b2 = c2 49 + 16 = c2 Guess & Check! 7 c = 8.1 He is 8.1 miles from his starting point.

Pythagorean Theorem If a2 + b2 = c2, then the triangle is a right triangle. c b a

Pythagorean Theorem a=3, b=4, c=5 Right triangle 32 + 42 = 52 If a2 + b2 = c2, then the triangle is a right triangle. If a2 + b2 = c2, then the sides are Pythagorean triples. a=3, b=4, c=5 Right triangle 32 + 42 = 52 9+ 16 = 25 3,4,5 are Pythagorean Triples 25 = 25

Pythagorean Theorem a=2, b=4, c=6 Not a right triangle 22 + 42 = 62 If a2 + b2 = c2, then the triangle is a right triangle. If a2 + b2 = c2, then the sides are Pythagorean triples. a=2, b=4, c=6 Not a right triangle 22 + 42 = 62 4+ 16 = 36 2, 4, 6 are Not Pythagorean Triples 20 = 36