1. Mon, 2/27 SWBAT… analyze their test mistakes
Agenda
WU (5 min)
Test results & top 6 missed problems (10 min)
Absolute value & test corrections (30 min)
Back of last weeks agenda
Warm-Up
Read this week’s agenda and write your homework in your planners for the week
HW: Absolute Value & Inequalities test corrections

2. Mean: 75%
Range: 30% - 100%

3. Table 1
(by the door)
Table 2
(middle)
Table 3
(by my desk)
Lizel
Diana
Rodolfo
Emmanuel
Jesse
Gerardo
Manuel
Stevie
Vanessa
Pablo
Gilberto

4. Mon, 2/27 SWBAT… compute problems involving zero & negative exponents
Agenda
Notes on monomials w/examples (10 min)
Exponents quick review (10 min)
Zero Exponent Property w/ examples (1) (10 min)
Negative Exponent Property w/ examples (2) (15 min)
Warm-Up
Set-up Cornell Notes: Topic is “Monomials”
HW1: Zero and negative exponents

5. New unit on Polynomials & Exponents
SWBAT…
Apply and explain the rules of exponents.
Identify the difference between monomials, binomials and trinomials and the degree of each.
Add and subtract polynomials.
Multiply a monomial by a polynomial.
Solve equations with polynomials.
Multiply two binomials using the FOIL method.

6. Ms. Sophia Papaefthimiou Infinity HS
Monomials
Ms. Sophia Papaefthimiou
Infinity HS

7. A monomial is an algebraic expression consisting of only one term.
Open Ended: Write 3 different examples of monomials
Examples of monomials: 3, s, 3s, 3sp, 3s2p

8. Determine whether each expression is a monomial. Say yes or no
Determine whether each expression is a monomial. Say yes or no. Explain your reasoning.
1.) 10
1.) Yes, this is a constant, so it is a monomial.
2.) f + 24
2.) No, this expression has addition, so it has more than one term.
3.) 3ab5
3.) Yes, this expression is a product of a coefficient and variables.
4.) j
4.) Yes, single variables are monomials.

9. Definition of an exponent
An exponent tells how many times a number is multiplied by itself. 4 3
Exponent
Base 4
= (3)(3)(3)(3) 3

10. How to read an exponent
This exponent is read three to the fourth power. 4 3

11. How to read an exponent (cont’d)
This exponent is read three to the 2nd power or three squared. 2 3

12. How to read an exponent (cont’d)
This exponent is read three to the 3rd power or three cubed. 3 3

13. Exponents are often used in area problems to show the feet are squared
Area = (length)(width)
Length = 30 ft
Width = 15 ft
Area = (30 ft)(15 ft) = 450 ft
15ft
30ft 2

14. Volume = (length)(width)(height)
Exponents are often used in volume problems to show the centimeters are cubed
Volume = (length)(width)(height)
Length = 10 cm
Width = 10 cm
Height = 20 cm
Volume = (20cm)(10cm)(10cm) = 2,000 cm 20 10 10 3

15. What is the exponent? 4
(5)(5)(5)(5) = 5

16. What is the base and the exponent?5
(7)(7)(7)(7)(7) = 7

17. What is the answer? 3 5
125 =

18. Compute: 02
Answer: 0

19. Compute: (-4)2
Answer: (-4)(-4) = 16

20. PEMDAS
Calculate: -42
Answer: -(4)(4) = -16

21. Simplify: n2 when n = -5
Answer: (-5)2 = (-5)(-5) = 25

22. Simplify: (x + 3)2
Answer: (x + 3)(x + 3) =
x2 + 6x + 9

23. Compute: 20
Answer: 1

24. WHY is anything to the power zero "1"
35 = 243
34 = 81
33 = 27
32 = 9
31 = 3
30 =
30 = 1

25. Laws of Exponents

26. Zero Exponent Property (1)
Words: Any nonzero number raised to the zero power is equal to 1.
Symbols: For any nonzero number x, x0 = 1.
Examples:
1.) 120 = 1
2.)
3.)
Open Ended: Create a problem that satisfies this property!

27. OYO Problems (On Your Own)
Simplify each expression:
1.) (-3.14)0
2.)
3.) (-x)0 if x = 4
4. [(3x4y7z12)5 (–5x9y3z4)2]0
1.) 1
2.) -1 (Careful! Exponents first then take the negative)
3.) 1
4.) Who cares about that stuff inside the square brackets? I don't, because the zero power on the outside means that the value of the entire thing is just 1.

28. Negative Exponent Property (2)
Words: For any nonzero number a and any integer n,
x-n is the reciprocal of xn. Also, the reciprocal of x-n = xn.
Symbols: For any nonzero number a and any integer n,
Examples:
Open Ended: Create a problem that satisfies this property!

29. Answer: 2

30. OYO Problems (On Your Own)
1.) 1/4-2 = 1/16
2.) -32
3.) 16/22 = 16/4 = 4
4.) 8/25