HavenHub Math • Edition 8
Unit 4 Workbook: The Fence and The Field
The Scribe's Log of Boundaries and Abundance
Lesson 4.1: Perimeter (The Fence)
1.Square side 4. Perimeter:
2.Rect 5x3. Perimeter:
3.Triangle sides 3, 3, 3. P:
4.Rect 10x2. Perimeter:
5.Pentagon side 2. P:
6.Hexagon side 5. P:
7.True or False: P = L + W.
8.True or False: Every side must be added.
Draw a rectangle that is 6 units long and 2 units wide. Write the perimeter below.
Perimeter: units.
Lesson 4.2 & 4.3: Area (The Rug)
1.Square side 4. Area: sq units.
2.Rect 5x3. Area: sq units.
3.Rect 10x2. Area: sq units.
4.Square side 10. Area: sq units.
5.Which formula is for Area?
[ ] L + W
[ ] L x W
6.How many squares in a 3x3 grid?
7.If Area is 20 and L is 5, W is .
9.Look at a laptop screen. Is its area bigger than its perimeter?
10.Look at a postage stamp. Which is bigger: P or A?
11.Which has more area: A 5x5 square or a 6x4 rectangle?
12.Which has more perimeter: A 10x1 rect or a 5x5 sq?
13.Name a food that has a large perimeter:
14.Name a toy that has a large area:
15.How many sq units in a city block of 100x100?
16.Does a Point have area?
17.Does a Line have perimeter?
18.Which is 2D: Perimeter or Area?
Lesson 4.4: Rim vs. Rug (The Distinction)
1.Buying fence for a garden:
[ ] Perimeter
[ ] Area
2.Buying carpet for a room:
[ ] Perimeter
[ ] Area
3.Painting a wall:
[ ] Perimeter
[ ] Area
4.Walking around a park:
[ ] Perimeter
[ ] Area
5.Putting a border on a photo:
[ ] Perimeter
[ ] Area
6.Calculating seed for a field:
[ ] Perimeter
[ ] Area
Lesson 4.5: The Broken Wall (Complex Shapes)
Split this L-shape into two rectangles. Calculate Area A, Area B, and the Total.
Rectangle A: 2x2 | Rectangle B: 10x2
Area A: + Area B: = Total: sq units.
Appendix A: The 100-Problem Density Block
Complete all 100 to earn the Steward's Seal of Abundance.
1. P: 1+1+1+1 = 4
2. A: 1x1 = 1 sq
3. P: 2+2+2+2 = 8
4. A: 2x2 = 4 sq
5. P: 3+3+3+3 = 12
6. A: 3x3 = 9 sq
7. P: 4+4+4+4 = 16
8. A: 4x4 = 16 sq (Equal!)
9. P: 5+5+5+5 = 20
10. A: 5x5 = 25 sq
11. 10x1 P = 22
12. 10x1 A = 10 sq
13. 5x2 P = 14
14. 5x2 A = 10 sq
15. 6x4 P = 20
16. 6x4 A = 24 sq
17. 8x3 P = 22
18. 8x3 A = 24 sq
19. 12x2 P = 28
20. 12x2 A = 24 sq
21. Triangle 2,2,2 P=6
22. Triangle 5,5,5 P=15
23. Pentagon 1,1,1,1,1 P=5
24. Hexagon 2,2,2,2,2,2 P=12
25. Octagon 10 P=80
26. Necklace = P
27. Blanket = A
28. Fence = P
29. Grass = A
30. Rim = P
31. Rug = A
32. Perimeter uses +
33. Area uses x
34. Square units = A
35. Linear units = P
36. L x W = A
37. s x 4 = P
38. s x s = A
39. 2L + 2W = P
40. Sum of sides = P
41. 10 x 10 = 100 A
42. 10 x 5 = 50 A
43. 8 x 8 = 64 A
44. 7 x 6 = 42 A
45. 9 x 4 = 36 A
46. P of 3x3 sq = 12
47. P of 5x2 rect = 14
48. P of 10x10 sq = 40
49. P of 1x100 rect = 202
50. P of 20x5 rect = 50
51. A of 1x100 = 100
52. A of 10x10 = 100
53. Square is efficient
54. Line is boundary
55. Face is abundance
56. Net is plan
57. Fold is reality
58. Area of L = A+B
59. Perimeter of L = 6 sides
60. Decompose the shape
61. 5 x 5 = 25
62. 6 x 6 = 36
63. 12 x 12 = 144
64. 20 x 20 = 400
65. 100 x 100 = 10,000
66. 1/2 of 100 A = 50
67. 1/4 of 100 A = 25
68. 1/10 of 100 A = 10
69. Double the side = 4x Area
70. Triple the side = 9x Area
71. Measure the book
72. Measure the table
73. Measure the rug
74. Measure the door
75. Measure the field
76. Tally the squares
77. Multiply the directions
78. Add the walk
79. Fence the flock
80. Seed the soil
81. 4 is the Square P
82. 1 is the Square A
83. 16 is the Unity
84. 100 is the Standard
85. 1.00 is the Whole
86. Area of sanctuary
87. Perimeter of court
88. Area of garden
89. Perimeter of wall
90. Area of world
91. Truth in the Line
92. Love in the Space
93. Order in the Formula
94. Unity in the Result
95. Peace in the Boundary
96. Strength in the Corner
97. Stewardship of Land
98. Heritage of Tribe
99. King is the Provider
100. 1.00 Shalom
Instructions for the Scribe: Continue this pattern until you reach 100. Practice distinguishing between Addition (Perimeter) and Multiplication (Area). Accuracy is your Honor.
Appendix D: The Scribe's Heritage Map Project
Use this page to design a family compound. You must calculate the Perimeter (Fence) and Area (Space) for each part.
Step 1: The Main House. Draw a rectangle that is 10 units by 8 units.
Perimeter: Area:
Step 2: The Garden. Draw a square with a side of 6 units.
Perimeter: Area:
Step 3: The Path. Draw a very long, thin rectangle (12x1).
Perimeter: Area:
Step 4: The Shared Table. Draw an L-shaped patio. Split it into two rectangles.
Total Area: sq units.
Appendix B: The Master's Final Audit
Check the boxes only when you have mastered the skill.
- [ ] I can calculate Perimeter by adding all sides.
- [ ] I can calculate Area by multiplying L x W.
- [ ] I know the difference between a "linear unit" and a "square unit."
- [ ] I can split an L-shape into two rectangles.
- [ ] I understand that Perimeter protects the Area (Fence protects the Field).
- [ ] I am a faithful Steward of the Land.
Appendix C: The Litany of the Field
Recite this to close the unit.
Mentor: Scribe, how long is the boundary?
Student: The perimeter is the sum of the steps. It is the fence of the law.
Mentor: Scribe, how full is the field?
Student: The area is the product of the directions. It is the grass of grace.
Mentor: Why do we measure the inheritance?
Student: To steward the pleasant places and find wisdom in the heritage.
Mentor: Go now, and walk the straight rim of the abundant field.
Student: Amen. Adding the fence, multiplying the fruit.
Unit 4 Complete!
You are ready for the Reflection.
HALLELUYAH!