Download Chapter 1 Notes 1.1 Variables and Expressions

Chapter 1 Notes
Name ________________________
1.1 Variables and Expressions
Addition…More Than, Sum
Ex: 18 more than a number n
Ans: n + 18
Subtraction…Less Than, Fewer, Difference
Ex: 12 less than n
Ans: n – 12
Multiplication…Times, Product
Ex: 6 times a number n
Ans: 6n
Division…Divide (duh), Quotient
Ex: the quotient of 18 and a number n
Ans: 18/n
Mixed Expressions:
Ex: 8 less than the product of a number x and 4
Ans: 4x – 8
What phrase would you use for this algebraic expression?
z
9
8
Ans: Nine less than the quotient of z and 8
Ex:
Assignment:
1.1 Partner WS
1.1 p. 7 #9 – 25 odd (#20 – 26 even X-Credit)
#27 – 37 First 2 Cols (#29 – 38 3rd Col X-Credit)
#47, 48
1.2 Order of Operations
PEMDAS:
1.________________ 2.________________ 3.________________ 4.________________
5.________________ 6.________________
Examples:
1. 6  4  2  3
2. 20  2 32
Ans:
1. 11
2. 2
3. 2
Assignment: http://www.softschools.com/math/order_of_operations/
1. With partner, do game twice
2. With partner, complete Quiz 1 & Quiz #4
3. WS 1.2 Order of Operations
3.
4 3  23
4
1.3, 1.4, 1.5, 1.6 Properties of Numbers
Textbook, page 18
Natural Numbers
Yes: 13
Whole Numbers
Yes: 12/4
Integers
Yes: −12/4
No: −13
No: 12/5
No:
Rational Numbers
Yes: −1/8
Irrational Numbers
Yes: 1/13
No: 1/11
No: 1/10
37
Numbers Names Group Activity
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Examples:
1. 82  82
2. 82  82
4. .2453  _________
5.
54  ________
3.
3
 ________
8
6.  54  ________
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Examples:
1.
64  8
2.
25  ________
3.
49  ________
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Textbook p. 32
Textbook p. 40
Examples:
1. Additive Inverse of 8 is −8
2. Additive Inverse of −1/2 is 1/2
3. Additive inverse of 2/3 is ________
4. Additive Inverse of  53 is ________
5. Multiplicative Inverse of 8 is 1/8
6. Multiplicative Inverse of −1/2 is −2
7. Multiplicative Inverse of 2/3 is ________
8. Multiplicative Inverse of  53 is ________
Inverses Group Activity
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Textbook p. 23
Examples
1. Comm Prop: 45 + 65 = 65 + 45
2. Comm Prop: 5(18 + 72) = 5(72 + 18)
3. Comm Prop: 19 + 36 = __________
4. Comm Prop: (9 × 7) + (3 × 5) = _____________
5. Assoc Prop: 45 + (18 + 13) = (45 + 18) + 13
6. Assoc Prop: 16( 8 × 2) = (16 × 8)2
7. Assoc Prop: (2 + 3x) + 18 = ______________
8. Assoc Prop: 15  (2g) = ____________
Assignment: 1.4 Property Names WS
1.5 & 1.6 Add, Sub, Mult & Div Real Numbers
Textbook p. 31
Textbook p. 32
Examples:
1. −7 – 13 = −20
2. −5 + 7 = 2
3. 18 – (−21) = 39
4. −4 – 6 = ______
5. 4 – (− 1) = ______
6. −15 + 20 = ______
Group Activity with Cards
QUIZ
Textbook p. 39
Textbook p. 40
Examples:
1. −7 × 3 = −21
2. −15 5 = −3
3. −8  −2 = 43
4. −4 × 6 = ______
5. −4 × (− 1) = ______
6. −20  5 = ______
Group Activity with Cards
QUIZ
1.7 Distributive Property
Textbook p. 46
Examples:
1. 3  x  5   3  x   3 5   3x  15
2.  3x  2  7    3x  7    2  7   21  14
3. 4  2x  6  = ___________________
4.  7x  5  4  = ______________________
Assignment: 1.7 WS
1.5 – 1.7 Quiz