Arithmetic with Whole Numbers and Money; Properties of Operations

1. PROBLEM OF THE DAY
What is the sum of the first
ten natural numbers?

2. ARITHMETIC
WITH WHOLE
NUMBERS AND
MONEY
Lesson 1

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. 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. 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. PROPERTIES OF
OPERATIONS
Lesson 2

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. 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. NOTES
What does it mean to “undo” an operation?
Complete the table

10. NOTES
What does it mean to “undo” an operation?
Complete the table

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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. NOTES
Justify each step by listing the property used to simplify
the expression

28. NOTES
Justify each step by listing the property used to simplify
the expression

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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. PRACTICE/HOMEWORK
Complete written practice: 2-30 evens