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Arithmetic with Whole Numbers and Money; Properties of Operations

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• ### Ln1&2

1. 1. PROBLEM OF THE DAY What is the sum of the ﬁrst ten natural numbers?
2. 2. ARITHMETIC WITH WHOLE NUMBERS AND MONEY Lesson 1
3. 3. LN 1: WHOLE NUMBERS AND MONEY VARIABLES AND EVALUATION natural numbers dividend whole numbers divisor consecutive numbers quotient addends variables sum evaluate difference factors product
4. 4. LN 1: WHOLE NUMBERS AND MONEY VARIABLES AND EVALUATION How do you add whole numbers? Money? How do you subtract whole numbers? Money? How do you multiply whole numbers? Money? How do you divide whole numbers? Money?
5. 5. LN 1: WHOLE NUMBERS AND MONEY VARIABLES AND EVALUATION Evaluate each expression for x = 10 and y = 5. x+y x-y xy x/y
6. 6. PROPERTIES OF OPERATIONS Lesson 2
7. 7. DID YOU KNOW..... All four mathematical operations are recorded in the Genesis 1-2 creation account. For example, God made a day and he divided it into evening and morning. He made one day; then He added something to it. He commanded animals to multiply upon the earth, adding numbers of “like things” to his creation. He subtracted a rib from Adam; then he added another human, Eve. http://www.christcentercurriculum.com/seminars/ what-makes-ccp-math-stand-out.php
8. 8. VOCABULARY additive identity Associative Property of Addition Associative Property of Multiplication Commutative Property of Addition Commutative Property of Multiplication fact family Identity Property of Addition Identity Property of Multiplication inverse operations multiplicative identity Zero Property of Multiplication
9. 9. NOTES What does it mean to “undo” an operation? Complete the table
10. 10. NOTES What does it mean to “undo” an operation? Complete the table
11. 11. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
12. 12. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
13. 13. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
14. 14. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
15. 15. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
16. 16. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
17. 17. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
18. 18. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
19. 19. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
20. 20. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
21. 21. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
22. 22. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
23. 23. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
24. 24. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
25. 25. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
26. 26. NOTES What does it mean to “undo” an operation? Properties Examples Complete the table Commutative Property of Addition 3+4=4+3 Commutative Property of Multiplication 3x4=4x3 Associative Property of Addition (3+4)+5=3+(4+5) Associative Property of Multiplication (3x4)x5=3x(4x5) Identity Property of Addition 4+0=4 Identity Property of Multiplication 3x1=3 Zero Property of Multiplication 34x0=0
27. 27. NOTES Justify each step by listing the property used to simplify the expression
28. 28. NOTES Justify each step by listing the property used to simplify the expression
29. 29. NOTES Justify each step by listing the property used to simplify the expression Step: Justiﬁcation 5 × (14 × 2) Given 5 × ( 2 × 14) Commutative (5 × 2) × 14 Associative 10 × 14 Parentheses 140 Simplify
30. 30. NOTES Justify each step by listing the property used to simplify the expression Step: Justiﬁcation 5 × (14 × 2) Given 5 × ( 2 × 14) Commutative (5 × 2) × 14 Associative 10 × 14 Parentheses 140 Simplify
31. 31. NOTES Justify each step by listing the property used to simplify the expression Step: Justiﬁcation 5 × (14 × 2) Given 5 × ( 2 × 14) Commutative (5 × 2) × 14 Associative 10 × 14 Parentheses 140 Simplify
32. 32. NOTES Justify each step by listing the property used to simplify the expression Step: Justiﬁcation 5 × (14 × 2) Given 5 × ( 2 × 14) Commutative (5 × 2) × 14 Associative 10 × 14 Parentheses 140 Simplify
33. 33. NOTES Justify each step by listing the property used to simplify the expression Step: Justiﬁcation 5 × (14 × 2) Given 5 × ( 2 × 14) Commutative (5 × 2) × 14 Associative 10 × 14 Parentheses 140 Simplify
34. 34. NOTES Justify each step by listing the property used to simplify the expression Step: Justiﬁcation 5 × (14 × 2) Given 5 × ( 2 × 14) Commutative (5 × 2) × 14 Associative 10 × 14 Parentheses 140 Simplify
35. 35. NOTES Justify each step by listing the property used to simplify the expression Step: Justiﬁcation 5 × (14 × 2) Given 5 × ( 2 × 14) Commutative (5 × 2) × 14 Associative 10 × 14 Parentheses 140 Simplify
36. 36. NOTES Justify each step by listing the property used to simplify the expression Step: Justiﬁcation 5 × (14 × 2) Given 5 × ( 2 × 14) Commutative (5 × 2) × 14 Associative 10 × 14 Parentheses 140 Simplify
37. 37. NOTES Justify each step by listing the property used to simplify the expression Step: Justiﬁcation 5 × (14 × 2) Given 5 × ( 2 × 14) Commutative (5 × 2) × 14 Associative 10 × 14 Parentheses 140 Simplify
38. 38. NOTES Justify each step by listing the property used to simplify the expression Step: Justiﬁcation 5 × (14 × 2) Given 5 × ( 2 × 14) Commutative (5 × 2) × 14 Associative 10 × 14 Parentheses 140 Simplify
39. 39. NOTES Justify each step by listing the property used to simplify the expression Step: Justiﬁcation 5 × (14 × 2) Given 5 × ( 2 × 14) Commutative (5 × 2) × 14 Associative 10 × 14 Parentheses 140 Simplify
40. 40. NOTES Justify each step by listing the property used to simplify the expression Step: Justiﬁcation 5 × (14 × 2) Given 5 × ( 2 × 14) Commutative (5 × 2) × 14 Associative 10 × 14 Parentheses 140 Simplify
41. 41. PRACTICE/HOMEWORK Complete written practice: 2-30 evens