4 .1 & 4.2 random fact of the day:

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4.1 & 4.2 Random fact of the day: A spec of dust in the air is halfway between the size of the earth and an atomic particle

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4 .1 & 4.2 Random fact of the day: A spec of dust in the air is halfway between the size of the earth and an atomic particle. This chapter deals with: monomials binomials trinomials all of which are polynomials. Break it down now. - PowerPoint PPT Presentation

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Page 1: 4 .1 & 4.2 Random fact of the day:

4.1 & 4.2

Random fact of the day:

A spec of dust in the air is halfway between the size of the earth and an atomic particle

Page 2: 4 .1 & 4.2 Random fact of the day:

This chapter deals with:

monomialsbinomialstrinomials

all of which are polynomials

Page 3: 4 .1 & 4.2 Random fact of the day:

What do these words mean?

monomialbinomialtrinomial

all of which are polynomials

BREAK IT DOWN NOW

Page 4: 4 .1 & 4.2 Random fact of the day:

BREAK IT DOWN NOW

Monomial – something singleBinomial – something paired

Trinomial – something in a group of three

all of which are polynomials

Page 5: 4 .1 & 4.2 Random fact of the day:

BREAK IT DOWN NOW

Monomial – something singleBinomial – something paired

Trinomial – something in a group of three

all of which are polynomials

Page 6: 4 .1 & 4.2 Random fact of the day:

BREAK IT DOWN NOW

Monomial – something singleBinomial – something paired

Trinomial – something in a group of three

all of which are polynomials- many things

Page 7: 4 .1 & 4.2 Random fact of the day:

So how about -nomials?

Page 8: 4 .1 & 4.2 Random fact of the day:
Page 9: 4 .1 & 4.2 Random fact of the day:

BREAK IT DOWN NOW

Monomial – Single term expressionBinomial – Two term expressionTrinomial – Three term expression

all of which are polynomials- an expression containing multiple monomials

Page 10: 4 .1 & 4.2 Random fact of the day:

BREAK IT DOWN NOW

Monomial examples

Page 11: 4 .1 & 4.2 Random fact of the day:

BREAK IT DOWN NOW

Binomial examples

Page 12: 4 .1 & 4.2 Random fact of the day:

BREAK IT DOWN NOW

Trinomial examples

Page 13: 4 .1 & 4.2 Random fact of the day:

BREAK IT DOWN NOW

All of these are polynomial examples

Page 14: 4 .1 & 4.2 Random fact of the day:

EXPONENT REVIEW

Page 15: 4 .1 & 4.2 Random fact of the day:

EXPONENT REVIEW

Follow along using your “Exponent Review” Sheet.

Fill in where appropriate:

Page 16: 4 .1 & 4.2 Random fact of the day:

EXPONENT REVIEW

What happens when I multiply like terms with exponents?

Page 17: 4 .1 & 4.2 Random fact of the day:

EXPONENT REVIEW

What happens when I multiply like terms with exponents?

Page 18: 4 .1 & 4.2 Random fact of the day:

EXPONENT REVIEW

What happens when I have this monomial raised to an exponent?

Page 19: 4 .1 & 4.2 Random fact of the day:

EXPONENT REVIEW

What happens when I have this monomial raised to an exponent?

Page 20: 4 .1 & 4.2 Random fact of the day:

EXPONENT REVIEW

What happens when I have this monomial raised to an exponent?

Page 21: 4 .1 & 4.2 Random fact of the day:

EXPONENT REVIEW

What happens when I have this monomial raised to an exponent?

Page 22: 4 .1 & 4.2 Random fact of the day:

EXPONENT REVIEW

What happens when I have this monomial raised to an exponent?

Page 23: 4 .1 & 4.2 Random fact of the day:

EXPONENT REVIEW

What happens when I have this monomial raised to an exponent?

Page 24: 4 .1 & 4.2 Random fact of the day:

TIME FOR SOME TRICKERY

What happens here?

Page 25: 4 .1 & 4.2 Random fact of the day:

TIME FOR SOME TRICKERY

What happens here?

Page 26: 4 .1 & 4.2 Random fact of the day:

TIME FOR SOME TRICKERY

What happens here?

Page 27: 4 .1 & 4.2 Random fact of the day:

TIME FOR SOME TRICKERY

What happens here?

Page 28: 4 .1 & 4.2 Random fact of the day:

TIME FOR SOME TRICKERY

What happens here?

Page 29: 4 .1 & 4.2 Random fact of the day:

TIME FOR SOME TRICKERY

What happens here?

Page 30: 4 .1 & 4.2 Random fact of the day:

LAST ONE I PROMISE

What happens here?

Page 31: 4 .1 & 4.2 Random fact of the day:

LAST ONE I PROMISE

What happens here?

Page 32: 4 .1 & 4.2 Random fact of the day:

Tell me something good

Page 33: 4 .1 & 4.2 Random fact of the day:

Do work?

Page 34: 4 .1 & 4.2 Random fact of the day:

4.3

Random fact of the day:

The 7-Eleven Extreme Gulp is 50% bigger than the volume of the human stomach.

Page 35: 4 .1 & 4.2 Random fact of the day:

FOIL

Page 36: 4 .1 & 4.2 Random fact of the day:

FOIL

What is it?

Page 37: 4 .1 & 4.2 Random fact of the day:

FOIL

FirstOuterInnerLast

Page 38: 4 .1 & 4.2 Random fact of the day:

FOIL

Ok, so why do we use this?

Page 39: 4 .1 & 4.2 Random fact of the day:

EXAMINING FOIL

Perform this operation:

(3)(2)

Page 40: 4 .1 & 4.2 Random fact of the day:

EXAMINING FOIL

Perform this operation:

(3)(2+2)

Page 41: 4 .1 & 4.2 Random fact of the day:

EXAMINING FOIL

Perform this operation:

(3)(2+2)What property are you using here?

Page 42: 4 .1 & 4.2 Random fact of the day:

EXAMINING FOIL

Perform this operation:

(3)(2+x)

Page 43: 4 .1 & 4.2 Random fact of the day:

EXAMINING FOIL

Lastly, perform this operation:

(3+x)(2+x)

Page 44: 4 .1 & 4.2 Random fact of the day:

PROBLEM OF THE DAY

You are in Home Depot to buy a new pool.

Page 45: 4 .1 & 4.2 Random fact of the day:

PROBLEM OF THE DAY

You want the length to be 4 feet longer than the width.

You also plan on creating a 3 foot wide walkway on each side.

Page 46: 4 .1 & 4.2 Random fact of the day:

PROBLEM OF THE DAY

If you have exactly 520 square feet of wood for the deck, how big should the pool be?

Page 47: 4 .1 & 4.2 Random fact of the day:

PROBLEM OF THE DAYYou want the length to be 4 feet longer than the width.You also plan on creating a 3 foot wide walkway on each

side.

If you have exactly 520 square feet of wood for the deck, how big should the pool be?

Page 48: 4 .1 & 4.2 Random fact of the day:

PROBLEM OF THE DAYYou want the length to be 4 feet longer than the width.You also plan on creating a 3 foot wide walkway on each

side.

If you have exactly 520 square feet of wood for the deck, how big should the pool be?

Page 49: 4 .1 & 4.2 Random fact of the day:

PROBLEM OF THE DAYYou want the length to be 4 feet longer than the width.You also plan on creating a 3 foot wide walkway on each

side.

If you have exactly 520 square feet of wood for the deck, how big should the pool be?

Page 50: 4 .1 & 4.2 Random fact of the day:

PROBLEM OF THE DAY

Area of pool and deck – Area of pool = area of deck

Page 51: 4 .1 & 4.2 Random fact of the day:

PROBLEM OF THE DAY

Area of pool and deck – Area of pool = area of deck

(x+10)(x+6)-x(x+4)=520 ft2

Page 52: 4 .1 & 4.2 Random fact of the day:

PROBLEM OF THE DAY

Area of pool + deck – Area of pool = area of deck

(x+10)(x+6)-x(x+4)=520 ft2

(x+10)(x+6)-x2-4x =520 ft2

x2+16x+60-x2-4x =520 ft2

12x+60=52012x=460

x=38

Page 53: 4 .1 & 4.2 Random fact of the day:

PROBLEM OF THE DAY

Area of pool + deck – Area of pool = area of deck

(x+4+6)(x+6)-x(x+4)=520 ft2

(x+10)(x+6)-x2-4x =520 ft2

x2+16x+60-x2-4x =520 ft2

12x+60=52012x=460

x=38W=38 ft, L=42 ft

Page 54: 4 .1 & 4.2 Random fact of the day:

PROBLEM OF THE DAY

Home Depot does not have a 38x42 foot pool available. Which of the following available pools is the most logical option?

HDYK???

Page 55: 4 .1 & 4.2 Random fact of the day:

Tell me something good

Page 56: 4 .1 & 4.2 Random fact of the day:

Do work?