Upload
vivien-jean-price
View
220
Download
0
Tags:
Embed Size (px)
Citation preview
Agenda• Call Roll• Introduce• Class policies & procedures
– Syllabus, textbook form,
• Student Handbook• Info sheets• Notes
• Icebreaker• Assign HW
The Essential 55 by Ron Clark
• Rule 1: When responding to any adult, you should answer by saying “Yes ma’am” or “No sir.”
Notes 1.1
Addition and Subtraction
Reals
Rationals(fractions, decimals)
Integers(…, -1, -2, 0, 1, 2, …)
Whole(0, 1, 2, …)
Natural(1, 2, …)
Irrationals(no fractions)
pi, e
The Real Number System
Rational vs. IrrationalRational numbers CAN be expressed as a fraction.
Irrational numbers CANNOT be expressed as a fraction.
1
2-2.5
2 -2.569234567…
-9.212121…
Decimals that end or repeat
9
The number line
-5 -4 -3 -2 -1 0 1 2 3 4 5
1
2 2 -2.5
1) 3.12112111211112…
2) 8.974974974…
3) 4.325
Irrational
Rational or Irrational?
Rational
Rational
Irrational174)
You Try …Rational or Irrational?
5)
6)
7) .47646464..
8)
9) 2.573407656631….
49
59
37
32 Irrational
Rational
Rational
Irrational
Rational
Signs are alike, ADD10) -5 + (-9) =
Addition
11) 6 + 20 =
-14
26
Signs are different, SUBTRACT
12) 23 + (-11) =
keep the sign of the larger number
Subtraction
13) -12 + 7 =
12
-5
14) 5 – (- 4)
15) 8 – (- 9)
16) 23.7 – 5.9
17) -12 + (-16)
= 5 + 4 = 9
= 8 + 9 = 17
=17.8
= -28
You Try …
Adding and Subtracting Fractions
5
4
1
718)
19)
20)
6
5
8
3
10
23
5
6
If signs are the same, POSITIVE.
1) 5 (10) =
Multiplication
2) -6 ( -9) =
50
54
If signs are different, NEGATIVE
3) 6(-7) =
Multiplication
4) -4(5) =
-42
-20
Multiplying FractionsMultiply across
1
2
3
7
1
2
2
5
5)
6)
7)
24
15
3
6
•Addition: a + b = b + a
•Multiplication: a • b = b • a
•Addition: a + (b + c) = (a + b) + c
•Multiplication: a • (b • c) = (a • b) • c
Commutative Properties
Associative Properties
5.) Use the commutative property of addition to write an expression equivalent to 3x + 4y
6.) Use the associative property of multiplication. to write an expression equivalent to 3x(7y • 9z)
•Addition: a + 0 = a
•Multiplication: a • 1 = a
Identity Properties
0 is the additive identity
1 is the multiplicative identity
3
x
y =8
24
x
y
The identity property allows us to take an expression and multiply it by 1.
8
8
This is 1.
These two expressions are equivalent.
7.) Write an expression equivalent to by simplifying.
6
2
xy
x
6
2
xy
x
3y
2 3
2
x y
x
2
2
3
1
x
x
y
Reciprocal2
3
3
2
8 1
8
2
3
3
2 = 1
= 1
8
1
1
8
DivisionIf signs are alike, POSITIVE.
10 5 =
24
6
8)
9)
2
4
If signs are different, NEGATIVE
Division
-10 5 =
10
40
10)
11)
-2
1
4
Dividing FractionsMultiply by the reciprocal
1
4
3
512)
13)
14)
9
4
3
2
15
7
5
12
Zero
7
0
0
7
Homework• Get syllabus signed
• Get book covered!!!!!
• Get notebook together
• Homework:
7-9/ 15-54 mult. of 3, 55-58 all