Welcome to HSPA Prep Zero Period

It’s important >>>>> Graduation!!!

Everyone get a folder, put name on it. (Make folders for absent people to help take attendance.

This is how this class will go…FIRST 2 WEEKS:

We will do a new lesson everyday and finish each class with an open-ended question. (10 mins) And go over that open-ended the next day, after I look at it.

LAST TWO WEEKS:

We will take sample test every other day. One day take it, the next day go over it. The sample test will be exactly like the actual. (40 minutes – work on our timing)

YOU CANNOT AFFORD TO MISS ANY CLASSES!!!!

YOU MUST BRING CALCULATORS EVERDAY!!!!!!!!!!!!!!!!!!!!

I created a website for our class!!

So if you are sick and miss a class, or you want/need extra study materials look on this site:

nhsfitz103.wikispaces.com

Lesson 1 - REAL NUMBERS

(as opposed to fake numbers?)

Definitions to know Natural (or counting) numbers: {1,2,3…} Whole numbers: {0,1,2,3…} Integers: {…-3,-2,-1,0,1,2,3…} Rational numbers: {all numbers that can be

expressed in the form m/n, where m and n are integers and n is not zero}. The decimal form of a rational number is either a terminating or repeating decimal.

Irrational number: {all nonterminating, nonrepeating decimals}. Any number that is not a perfect square has an irrational square root.

Real NumbersREAL NUMBERS

-8 -5,632.1010101256849765…

61

49%

π

549.23789

154,769,852,354

1.333

Can you tell me another???

Rational Numbers

A rational number is a real number that can be written as a fraction.

A rational number written in decimal form is terminating or repeating.

Examples of Rational Numbers

161/23.56

-81.3333…- 3/4

Irrational Numbers

An irrational number is a number that cannot be written as a fraction of two integers.

Irrational numbers written as decimals are non-terminating and non-repeating.

Examples of Irrational Numbers

Pi

Types of Integers

Natural Numbers(N): Natural Numbers are counting numbers from 1,2,3,4,5,................N = {1,2,3,4,5,................}

Whole Numbers (W): Whole numbers are natural numbers including zero. They are 0,1,2,3,4,5,...............W = {0,1,2,3,4,5,..............} W = 0 + N

What are integers? Integers are the whole numbers and their

opposites. Examples of integers are

6

-12

0

186

-934

NOTICE NO FRACTIONS OR DECIMALS!!

WHOLENumbers

REAL NUMBERS

IRRATIONALNumbers

NATURALNumbers

RATIONALNumbers

INTEGERS

Try this!

a) Irrational

b) Irrational

c) Rational

d) Rational

e) Irrational

66 e)

d)

25 c)

12 b)

2 a)

115

Additional Example 1: Classifying Real Numbers

Write all classifications that apply to each number.

5 is a whole number that is not a perfect square.

5

irrational, real

–12.75 is a terminating decimal.–12.75rational, real

16 2

whole, integer, rational, real

= = 24 2

16 2

A.

B.

C.

State if each number is rational, irrational, or not a real number.

21

irrational

0 3

rational

0 3

= 0

Additional Example 2: Determining the Classification of All Numbers

A.

B.

not a real number

Additional Example 2: Determining the Classification of All Numbers

4 0C.

State if each number is rational, irrational, or not a real number.

Practice

Practice

Order these from least to greatest:

7. At midnight the temperature is 8°C. If the temperature rises 4°C per hour, what is the temperature at 6 am?

How longIs it fromMidnightto 6 am?

How muchdoes the

temperaturerise each

hour?

6 hours

+4 degrees

(6 hours)(4 degrees per hour)

= 24 degrees

8° + 24° = 32°C

Add this tothe original temp.

8. A deep-sea diver must move up or down in the water in short steps in order to avoid getting a physical condition called the bends. Suppose a diver moves up to the surface in five steps of 11 feet. Represent her total movements as a product of integers, and find the product.

What does This mean?

Multiply

(5 steps) (11 feet)

(55 feet)

5 * 11 = 55

On your own:

On your own:

Practice Open-Ended Question (10 mins)“Keeping Records”

Eric has a part-time job at the deli. His responsibility is to keep track of the sales of some items. He earns a salary and an additional commission on what he sells. During one week he sold the following:

25 pounds of boiled ham at $7.99 per pound17 pounds of potato salad at $2.50 per pound6 boxes of american cheese at $14.95 per box2 whole salamies at a total price of $64.5030 dozen rolls at $3.00 a dozen

A.) What was the total from the sale of all the above items?

B.) The sale of boiled ham is what percent of the total sales? The sale of potato salad is what percent of the total sales? The sale of american cheese is what percent of the total sales?

C.) Eric earns a 4% commission of the total sales. How much commission does he earn? He also earns a salary of $150 a week. What is Eric’s total pay for that week?

D.) If Eric is offered another job for a salary $175 a week without commission, what are some factors he should consider in deciding to take the new job or remain with the job he currently has.

Note to teacher:Put answers up on overhead next to screen