Place Value; Factors and Divisibility; Lines, Angles, and Planes

1. PROBLEM OF THE DAY
Find each missing digit:
75_0
-_60_
4_13

2. PLACE VALUE
THROUGH HUNDRED
TRILLIONS
READING AND
WRITING WHOLE
NUMBERS
Lesson 5

3. ANSWERS TO WP 4
16. Commutative;
2. 18
Associative
4. 18; -18; 4; 144
18. $63.51
6. -2, -1, 0, 1
20. 210
8. (number line)
22. 24,000
-1
24. -27
10. 12
26. $1.10
12. 899
28. $112.50
14. 7
30. Answers may vary

4. LN 5: PLACE VALUE
READING NUMBERS
Why do we need place value?
What is our national debt?

5. LN 5: PLACE VALUE
READING NUMBERS
Vocabulary
place value
expanded notation

6. LN 5: PLACE VALUE
READING NUMBERS
Which digit is in the trillion place in the number
32,567,890,000,000?
Write 25,301 in expanded notation.
Read this number: 1,380,000,052,200
Write twenty trillion, five hundred ten million.

7. LN 5: PLACE VALUE
READING NUMBERS
Which digit is in the trillion place in the number
32,567,890,000,000?
2
Write 25,301 in expanded notation.
Read this number: 1,380,000,052,200
Write twenty trillion, five hundred ten million.

8. LN 5: PLACE VALUE
READING NUMBERS
Which digit is in the trillion place in the number
32,567,890,000,000?
2
Write 25,301 in expanded notation.
(2x10,000) + 5x(1,000) + (3x100) + (10x1)
Read this number: 1,380,000,052,200
Write twenty trillion, five hundred ten million.

9. LN 5: PLACE VALUE
READING NUMBERS
Which digit is in the trillion place in the number
32,567,890,000,000?
2
Write 25,301 in expanded notation.
(2x10,000) + 5x(1,000) + (3x100) + (10x1)
Read this number: 1,380,000,052,200
Write twenty trillion, five hundred ten million.
20,000,510,000,000

10. FACTORS AND
DIVISIBILITY
Lesson 6

11. VOCABULARY
divisible
greatest common factor
factors

12. FACTORS AND
DIVISIBILITY
What are the factors of 18?
What are the factors of 30?
What are the common factors shared by these numbers?
What is the greatest common factor of 18 and 30?
The Factor Game

13. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility

14. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility

15. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

16. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

17. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

18. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

19. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

20. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

21. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

22. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

23. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

24. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

25. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

26. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

27. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

28. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

29. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

30. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

31. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

32. FACTORS AND
DIVISIBILITY
Complete the table: Tests for Divisibility
Divisible by... If...
2 it ends in 0,2,4,6,8
4 last 2 digits are divisible by 4
8
5 it ends in 0 or 5
10 it ends in 0
3 the sum of the digits is divisible by 3
6 the sum of the digits is divisible by 3 and even
9 the sum of the digits is divisible by 9

33. PRACTICE
Find the greatest common factor of 24 and 40. Explain how
you found your answer.
What whole numbers from 1 to 10 are divisors of 7000?

34. PRACTICE
Find the greatest common factor of 24 and 40. Explain how
you found your answer.
What whole numbers from 1 to 10 are divisors of 7000?
8
2, 4, 5, 8, 10

35. GCF with Ladders
Find the GCF of 8 and 12.

36. GCF with Ladders
Find the GCF of 8 and 12.
8 12

37. GCF with Ladders
Find the GCF of 8 and 12.
8 12

38. GCF with Ladders
Find the GCF of 8 and 12.
2 8 12

39. GCF with Ladders
Find the GCF of 8 and 12.
2 8 12
4

40. GCF with Ladders
Find the GCF of 8 and 12.
2 8 12
4 6

41. GCF with Ladders
Find the GCF of 8 and 12.
2 8 12
4 6

42. GCF with Ladders
Find the GCF of 8 and 12.
2 8 12
2 4 6

43. GCF with Ladders
Find the GCF of 8 and 12.
2 8 12
2 4 6
2

44. GCF with Ladders
Find the GCF of 8 and 12.
2 8 12
2 4 6
2 3

45. GCF with Ladders
Find the GCF of 8 and 12.
2 8 12
2 4 6
2 3

46. GCF with Ladders
Find the GCF of 8 and 12.
2 8 12
2 4 6
2 3
GCF = 2 x 2 = 4

47. Lines, Angles and
Planes
Lesson 7

48. LN 7: Lines, Angles, and Planes
point plane
line intersect
line segment
angle
ray
vertex
parallel
oblique
perpendicular

49. Name the angle.
right angle
acute angle
obtuse angle
straight angle

50. Name the angle.
right angle
acute angle
obtuse angle
straight angle

51. Name the angle.
right angle
acute angle
obtuse angle
straight angle

52. Name the angle.
right angle
acute angle
obtuse angle
straight angle

53. Name the angle.
right angle
acute angle
obtuse angle
straight angle

54. Name the angle.
right angle
acute angle
obtuse angle
straight angle

55. Name the angle.
right angle
acute angle
obtuse angle
straight angle

56. Name the angle.
right angle
acute angle
obtuse angle
straight angle

57. Name the angle.
right angle
acute angle
obtuse angle
straight angle

58. Name the angle.
right angle
acute angle
obtuse angle
straight angle

59. Name the angle.
right angle
acute angle
obtuse angle
straight angle

60. Name the angle.
right angle
acute angle
obtuse angle
straight angle

61. Name the angle.
right angle
acute angle
obtuse angle
straight angle

62. LN 7: Lines, Angles, and Planes
Homework: Page 51 / Written
Practice 1-29 odds