Chapter+1

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 *  ** Role **   ||   ** Student **   ||
 *   Editor    ||    K. Frey    ||
 *   Multemedia    ||    Z. Wooten    ||
 *   Text    ||    L. Bishop    ||
 *   Practice Problems    ||    D. Gohn    ||
 *   Career/Real Life    ||    B. Conner    ||

PERIOD 2

Helpful: real life problems and examples Explained well Practice problems

Enjoyed: the photos The chart of areas I liked the examples they gave, it made be understand it better

Comments: more color Make important points stand out Confusing word problems Plain with few pictures Print too small Not easy to find specific info Have real-life problems before explaining section Hard to tell sections apart

**Goal 1 -->** Use a number line to graph and order real numbers. To solve real-life problems, such as how to exchange money.  **To check your answer, go to page 6 in your text book. **
 * CHAPTER 1 Section 1**
 * Goal 2 -->** Identify properties of and use operations with real numbers.
 * Why should you learn it?**
 * __TRY THIS EXAMPLE -->__** You are exchanging $400 for Mexican pesos. The exchange rate is 8.5 pesos per dollar, and the bank charges a 1% fee to make the exchange.
 * a**. How much money should you take to teh bank if you do not want to use part of the $400 to pay the exchange fee?
 * b**. How much will you recieve in pesos?
 * c.** When you return from MExico you have 425 pesos left. How much can you get in dollars? Assume that you use other money to pay the exchange fee.

integers: ....-3, -2, -1, 0, 1, 2, 3, ... rational numbers: numbers that can be written as the ratio (a fraction) of two integers. As decimals, they terminate or repeat. irrational numbers: real numbers that as decimals neither terminate nor repeat
 * whole numbers: 0, 1, 2, 3, ...

The Properties: Property: Addition/ Multiplication Closure: a + b is a unique real number/ ab is a unique real number Commutative: a + b = b + a/ ab = ba Associative: (a + b) + c = a + (b + c)/ (ab)c = a(bc) Identity: a + 0 = a/ 0 + a = a a

 Commutative:2+3=3+2 5=5 Associative:(2+3) +4=2+(3+4) (5)4=4(5) Identity:4+0=4 0+4=4 4 A real life example of the properties would be with money. When you take the paychecks for a certain amount of time no matter which roperty you use, the sum should be the same. For instance, with the commutative property, if you have a 100 dollar check and a 450 dollar check, no matter which order you add them in, you will have 550 dollars.

CHAPTER 1 Section 2 Numerical Expression: consists of numbers, operations, and grouping symbols order of operations: -Do operations that occur within grouping symbols. -Evaluate powers. -Do multiplications and divisions from left to right. -Do additions and subtractions from left to right. Variable: a letter that is used to represent one or more numbers. Algebraic Expression: an expression involving variables. Mathematical Model: an expression that represents a real-life situation. Terms: the parts that are added together. Like Terms: terms with the same variable part.

CHAPTER 1 Section 3 Equation: a statement in which two expressions are equal. Linear Equation: an equation that can be written in the form //ax = b// where //a// and //b// are constants and //a// doe not equal 0.

//Addition Property of Equality:// //Add// the same number to both sides: If //a// = //b//, then** **//a + c = b - c. Subtraction Property of Equality: Subtract// the same number from both sides: If //a = b,// then** **//a - c = b - c. Multiplication Property of Equality: Multiply// both sides by the same nonzero number: If //a = b// and //c doesn't equal 0,// then //ac = bc.// //Division Property of Equality: Divide// both sides by the same nonzero number: If //a = b// and //c doesn't equal 0,// then //a// / //c = b / c.//

--> Try this: A REAL ESTATE BROKER'S BASE SALARY IS $18,000. SHE EARNS A 4% COMMISION ON TOTAL SALES. HOW MUCH MUST SHE SELL TO EARN $55,000 TOTAL?

TO CHECK YOUR ANSWER, GO TO PAGE 21 IN YOUR TEXT BOOK.

DID YOU KNOW? REAL ESTATE BROKERS MUST HAVE A THOROUGH KNOWLEDGE NOT ONLY OF THE REAL ESTATE MARKET, BUT OF MATHEMATICS AS WELL. BROKERS OFTEN PROVIDE BUYERS WITH INFORMATION ABOUT LOANS, LOAN RATES, AND MONTHLY PAYMENTS.

CHAPTER 1 Section 4**


 * || **FORMULA** || **VARIABLES** ||
 * **Distance** || **//d = rt//** || **//d =// distance, //r =// rate, //t =// time** ||
 * **Simple Interest** || **//I = Prt//** || **//I =// interest, //P =// principal, //r =// rate, //t =// time** ||
 * **Temperature** || **//F = (9/5)C + 32//** || **//F// = degrees Fahrenheit, //C// = degrees Celsius** ||
 * **Area of Triangle** || **//A = (1/2)bh//** || //**A**// =**area, //b//**=
 * base, //h =// height** ||
 * **Area of Rectangle** || **//A = lw//** || **//A// = area, //l =// length, //w =// width** ||
 * **Perimeter of Rectangle** || //**P**// =//**2l + 2w**//= || **//P// perimeter, //l =// length, //w =// width** ||
 * **Area of Trapezoid** || **//A = (1/2)(b1 + b2)h//** || //**A**// =**area, //b1//**=
 * one base, //b2 =// other base, //h =// height** ||
 * **Area of Circle** || **//A =//** //**Pi r²**// || **//A =// area, //r =// radius** ||
 * **Circumference of a Circle** || **//C = 2Pi r//** || //**C**// =**circumference, //r//**=
 * radius** ||


 * CHAPTER 1 Section 5**

Use a **verbal model** to write an **algebraic model**.
 * Verbal model:** equation using words.
 * Algebraic model:** a mathematical statement.


 * CHAPTER 1 Section 6**

Add the same number to both sides. Subtract the same number from both sides. Multiply both sides by the same positive number. Divide both sides by the same positive number. Multiply both sides by the same negative number and reverse the inequality. Divide both sides by the same negative number and reverse the inequality.
 * Transformations that Produce Equivalent Inequalities:**


 * Compound inequality:** two simple inequalities joined together by "and" or "or."


 * CHAPTER 1 Section 7

Absolute value:** the absolute value of a number x, written as |x|, is the distance the number is from 0.

In preface to sections 1.6 & 1.7, view the following on solving inequalities. [|Click here!]