Algebra Geometry 1 A Welcome Back New Students

Algebra/ Geometry 1 A Welcome Back!

Ø New Students: l Announcements • • • 1. 2. 3. Calculators Grading What the heck is a Math Battle?

Review of Semester 1 Answer the following problems on your own. 1. 2. 3. 4. 5. 6. Find the perimeter of a rectangle with sides of 10 cm and 13 cm. -14 + 7 = What would be an apporpriate unit to find the weight of a sock full of quarters, milligrams or kilograms? 14 – (36 – 21) + 32 = Find the solution, 73 = 4 yds. , 3 ft. , 5 in. + 2 yds. , 1 ft. , 9 in.

Algebra/ Geometry 1 A Ø Chapter 5: “Equations and inequalities” l Are You Ready? Turn to page 206 in your text book. l The distribute property… What is it, why do we use it, what is the meaning of life? l That is the meaning of life- Chicago Bears Super Bowl Champions Baby! (maybe next year )

Algebra/ Geometry 1 A 1. 2. Announcements: The Boys basketball teams have some tough games lined up with Sandwich on Friday, and Newark on Tuesday. Come out and support the boys team. The girls varsity team has the conference tournament at Seneca coming up.

Section 5. 2 Review Ø Last time you learned a couple of “catchy” phrases to help with algebra. What were they? Ø “You have one goal in life and that is to get x by itself. ” Ø Plug and Chug Baby!

Section 5. 2 Review Ø So why do we use those sayings?

Ø In an effort to slay dwarf uprisings? Ø Probably not…

Ø To defend the world against Killer Tomatoes? Ø Probably not…

Section 5. 2 Review Ø To solve basic equations, like this one: X – 4 = -5 It’s kind of a tricky problem involving negatives and subtraction, everybody’s favorites.

Section 5. 2 Review X – 4 = -5 First number on goal in life, get x by itself. So ask yourself…

Ask yourself punk, “Do I feel lucky? ” Go ahead, make my day! If you don’t master this algebra stuff I’d love nothing more than to give you the five knuckle shuffle upside your head punk!

X – 4 = -5 No, ask yourself, how can I get x by itself? What is on the same side of the equal sign that has x in it? I see a, “ – 4” so we need to do the opposite of subtract 4, which is? Add 4 to both sides…

X – 4 = -5 Remember like President Bush, Algebra is an equal opportunity pimp! So then, add 4 to both sides.

X – 4 = -5 After adding 4 to both sides, we should have: X – 4 = -5 +4 +4 So then, x = -1 Not so fast, are you finished?

X – 4 = -5 Ø Not so fast dude, Ø You have to Plug and Chug, check your work. Plug your answer back into the original equation for x to see if it correct.

Section 5. 2 Quiz Solve for the indicated variable. 1. 2. 3. 4. 5. 6. 7. X+6=9 X – 4 = -3 X + 17 = -20 3=x– 4 7=x+1 -1. 3 = x – 2. 4 X=4+9

Section 5. 3 Ø In lesson 5. 3, we are still solving one step equations, just using multiplication and division. Ø You still have one goal in life, which is?

Section 5. 3 Ø Which hopefully is not to be like that guy…

Section 5. 3 Ø You have to get x by itself you mopes! Ø So, in the equation 4 x = 40 to undo 4 times x, do the opposite, divide 40 by 4. 4 x = 40 ÷ 4 So, x = 10

4 x = 40 Ø Remember to Plug and Chug, plug 10 back in for x, does 4 times 10 = 40? Ø Yes, all day.

Section 5. 3 Ø It works the same way for division, just do the opposite. Ø If it is multiply, you divide. Ø If it is divide, you muliply. Ø If it is lambchop, then it is…

Section 5. 3 Ø Then it’s tuna fish…

Section 5. 3 Ø And remember if you think this is too hard for you to do, well then…

Section 5. 3 Ø Try these on your own: Ø 1. Ø 2. Ø 3. Ø 4. 228 = 4 x 6 k = 12 5 h = 25 x/6 = 6

Section 5. 3 Ø Your homework assignment is: Page 220 section 5. 3 problems 16 - 36

Algebra Geometry 1 A 1. 2. 3. Announcements: Section 5. 4 Worksheet due, if you have questions, have them ready. Today we are discussing like terms and combining like terms when solving equations. And in case you were sleeping in a cave on Sunday, you missed this…

Ø Head coach Lovie Smith of the Chicago Bears receives a shower from Adewale Ogunleye in the final minute of their 39 -14 win against the New Orleans Saints in the NFC Championship Game at Soldier Field in Chicago.

You also missed this… Ø Cedric Benson destroying a weak Saints linebacker.

And you missed this… Save the drama for yo momma you punk!

You also missed this… I knew Mr. Stecken was a genious predicting the Bears to win. Now I will proclaim my allegiance to him, like my Bears, he truly is awesome!

Mr. Stecken you are my hero, I can’t help it, I am amazed at your ability to know that the Bears would annhilate the weak Nancy- like Saints. Oh by the way, we are headed to the Super Bowl! Go eat some Chicken wings!

Why did I listen to Jake Crouse, now my life is over, I need to return this New Orleans Saints leather coat. I am such a loser. Mr. Stecken you truly are awesome.

Section 5. 5 Ø Ok, enough, time to get down to business. Section 5. 5 is about combining like terms… Remember…

Ø When combining like terms, think like Da Coach and don’t take any crap from no one! Who you crapping Jake Crouse? You thought DA BEARS would lose to those Nancy boy Saints? Who you crappin’?

Section 5. 5 Ø Like terms have to have two things: Ø The same variable Ø And that variable to the same power… Ø For example, 4 x and 3 x are like terms.

Section 5. 5 3 m + 5 m can be combined to 8 m Can 8 x and 4 y be combined?

Section 5. 5 Now we can combine terms in an equation to solve for a variable. 3 x + 4 = 1 x + 2

Section 5. 5 Now try the practice exercises on page 229 #1 - 4

Section 5. 5 Ø Your homework assignment is on page 230 #16 – 44 even’s only.

Math Battle Event 1: Check your homework answers for the following problems and write the answer on a separate sheet of paper: #18, #24, #32, and #34.

Math Battle Event 2: Solve the following equations: 4 x -7 = -15 2. 3(x + 2) = -12 3. 4 x + 5 = 2 x + 23 1.

Math Battle Event 3: Add the following pictures together to solve the mystery of Stecken’s random riddle…

Math Battle Picture 1

Math Battle Picture 2

Math Battle Picture 3

Math Battle 62 To 42

Algebra Geometry 1 A Section 5. 6: “Working with formulas” Announcements: 1. Today you will be taking your knowledge of equations to the next level, working with formulas. 2. After you complete this section’s notes and homework you will be taking a chapter 5 practice test that is worth 45 points (1/2 of a test) so do a good job.

Section 5. 6 Using formulas to solve problems. Ø What is a formula? Ø l l A formula is an equation stating the relationship between 2 or more variables. For example, the formula for the area of a rectangle is: A = LW • Where: l l l A = Area of the rectangle L = length W = width

Section 5. 6 We can use formulas to solve for unknown measurements. Ø In the formula for a rectangle (A = LW), if a rectangle has an area of 45 and the length is 9, what is the width? Ø Ø To solve this problem we will use the formula A = LW and substitute the values that we know, so 45 = 9 w is our new equation.

Section 5. 6 45 = 9 w To solve for the width (w) get it by itself, divide out the 9 45 ÷ 9 = 5 So w = 5, the width of the rectangle is 5.

Section 5. 6 Ø We can also use formulas to solve distance using the distance formula, d=rt, where d is distance, r is rate of speed, and t is time. So for example, if Pourchot and Billy were picking up chicks in Morris in the 1983 Plymouth Voyager mini van and they were going 60 miles per hour and drove for 5 hours, how far did they travel? D = rt D = 60 ∙ 5 D = 300 miles Ø

Section 5. 6 Ø We can also solve for variables when there are multiple variables. Ø In the formula f=ma force, solve for m. To do this, we must get m by itself, so we need to send a to the other side of the equal sign (remember when sending something to the other side of the equal sign you do the opposite). So we need to divide out the a from both sides. So, f ÷ a = m Ø Ø Ø

Section 5. 6 Ø On your homework assignment, problem 3, you have to get w by itself. To do this in the formula A = LW, you have to divide out the L, so your answer is A ÷ L = W Ø On your homework assignment, problem 7, 9 a = C, solve for a. To get a by itself, you have to divide out the 9, so your answer would be a = C÷ 9

Section 5. 6 Ø Your homework assignment is from section 5. 6, pages 234 -235, problems #1 -8, 20, 22, 26 Ø After you finish your homework you can begin the chapter 5 practice test. Remember that the test is worth 45 points. I also want you to show all work on a separate piece of paper and staple that to the back of the test.