HavenHub Math • Edition 7

Unit 3 Workbook: The Scales

The Scribe's Log of Weight and Mass

Lesson 3.1: Weight vs. Size

Part 1: The Eye Test
1.Circle the Heavier object:
[ ] A Giant Beach Ball
[ ] A Small Lead Weight
2.Circle the Heavier object:
[ ] A Pillow
[ ] A Brick
3.Circle the Heavier object:
[ ] A Balloon full of Air
[ ] A Balloon full of Water
4.Circle the Heavier object:
[ ] A Gold Ring
[ ] A Bag of Popcorn
5.Circle the Heavier object:
[ ] A Plastic Spoon
[ ] A Metal Spoon
6.True or False: Bigger things are always heavier.
7.True or False: Density means how packed the "stuff" is.
8.True or False: Air has weight.
Part 2: Visualizing Density

Draw a large square labeled "SPONGE" with dots far apart. Draw a small square labeled "GOLD" with dots packed tight.

Lesson 3.2: The Customary Pair (16 oz = 1 lb)

Part 1: The 16-Step Ladder
1.1 Pound = Ounces.
2.2 Pounds = Ounces.
3.3 Pounds = Ounces.
4.Half a Pound = Ounces.
5.Quarter of a Pound = Ounces.
6.16 oz + 16 oz = lb.
7.32 oz = lb.
8.48 oz = lb.
9.1 lb 4 oz = oz total.
10.1 lb 8 oz = oz total.
Part 2: The Scribe's Estimation
11.A Slice of Bread: ( 1 oz / 1 lb )
12.A Whole Loaf: ( 1 oz / 1 lb )
13.A Cat: ( 10 oz / 10 lb )
14.A Letter: ( 1 oz / 1 lb )
15.A Bicycle: ( 20 oz / 20 lb )

Lesson 3.3: The Metric Order (1,000 g = 1 kg)

Part 1: The Power of 1,000
1.1 kg = g.
2.2 kg = g.
3.5 kg = g.
4.Half a kg (0.5 kg) = g.
5.Quarter of a kg = g.
6.1,000 g + 1,000 g = kg.
7.3,000 g = kg.
8.500 g + 500 g = kg.
9.1 kg 200 g = g total.
10.2 kg 500 g = g total.
Part 2: Metric Sense
11.A Paperclip: ( 1 g / 1 kg )
12.A Dictionary: ( 1 g / 1 kg )
13.A Grape: ( 5 g / 5 kg )
14.A Laptop: ( 2 g / 2 kg )
15.A Car: ( 1,000 g / 1,000 kg )

Lesson 3.4: The Needle of Truth

Draw an arrow where the needle should point.

0
5
10

1. Scale reads: 2 lbs

0
100
200

2. Scale reads: 50 g

0
8
16

3. Scale reads: 8 oz

0
1
2

4. Scale reads: 1.5 kg

5.If the needle is halfway between 4 and 5 lbs, what is the weight?
6.If the needle is on the 3rd mark past 10 (tenths), what is it?

Lesson 3.5: Equilibrium (The Equal Sign)

Find the Missing Weight to Balance the Scale
1.Left: 5 lb | Right: 2 lb + lb.
2.Left: 10 kg | Right: 5 kg + kg.
3.Left: 16 oz | Right: 8 oz + oz.
4.Left: 1 lb | Right: oz.
5.Left: 1 kg | Right: 500 g + g.
6.Left: 2 lb | Right: 16 oz + oz.
7.Left: 100 g | Right: 25 g + 25 g + g.
8.Left: 1 Ton | Right: 1,000 lb + lb.

Draw a Balanced Scale with a "1 lb" weight on one side and "16 oz" on the other.

The Prophet's Vision: The Just Weight

"A false balance is abomination to the Lord: but a just weight is his delight." — Proverbs 11:1

1. The Merchant's Bag: A merchant sells spice. He has 1 kg of spice. He sells 300g to one customer and 250g to another. How much spice is left?
Leftover: g.
2. The Grain Offering: An offering requires 2 pounds of flour. The priest has a scoop that holds 4 ounces. How many scoops does he need?
Scoops:

Appendix A: The 100-Problem Density Block

Complete all 100 to earn the Seal of Substance.

1. 16 oz = 1 lb
2. 32 oz = 2 lb
3. 48 oz = 3 lb
4. 64 oz = 4 lb
5. 80 oz = 5 lb
6. 8 oz = 1/2 lb
7. 4 oz = 1/4 lb
8. 12 oz = 3/4 lb
9. 2 oz = 1/8 lb
10. 1 oz = 1/16 lb
11. 1000 g = 1 kg
12. 2000 g = 2 kg
13. 3000 g = 3 kg
14. 4000 g = 4 kg
15. 5000 g = 5 kg
16. 500 g = 1/2 kg
17. 250 g = 1/4 kg
18. 750 g = 3/4 kg
19. 100 g = 1/10 kg
20. 10 g = 1/100 kg
21. 1 lb + 1 lb = 2 lb
22. 1 lb - 8 oz = 8 oz
23. 1 kg + 500 g = 1.5 kg
24. 2 kg - 1 kg = 1 kg
25. 10 oz + 6 oz = 1 lb
26. 15 oz + 1 oz = 1 lb
27. 900 g + 100 g = 1 kg
28. 999 g + 1 g = 1 kg
29. 1/2 lb + 1/2 lb = 1 lb
30. 1/4 lb + 3/4 lb = 1 lb
31. 1 Ton = 2,000 lb
32. 2 Tons = 4,000 lb
33. 1/2 Ton = 1,000 lb
34. 1 Metric Ton = 1,000 kg
35. 1 kg ≈ 2.2 lb
36. 5 kg ≈ 11 lb
37. 10 kg ≈ 22 lb
38. 1 oz ≈ 28 g
39. 10 oz ≈ 280 g
40. 1 lb ≈ 454 g
41. Heavy: Rock
42. Light: Feather
43. Dense: Gold
44. Hollow: Balloon
45. Unit: Gram
46. Unit: Ounce
47. Unit: Pound
48. Unit: Kilogram
49. Unit: Ton
50. Unit: Milligram
51. 5 lb x 16 = 80 oz
52. 2 lb x 16 = 32 oz
53. 10 lb x 16 = 160 oz
54. 3 kg x 1000 = 3000 g
55. 7 kg x 1000 = 7000 g
56. 1.5 kg = 1500 g
57. 2.5 kg = 2500 g
58. 3.5 lb = 56 oz
59. 0.5 lb = 8 oz
60. 0.1 kg = 100 g
61. Balance: 5 = 5
62. Balance: 10 = 10
63. Balance: 1 lb = 16 oz
64. Balance: 1 kg = 1000 g
65. Balance: 1/2 lb = 8 oz
66. Tare: Reset to 0
67. Net Weight: Content only
68. Gross Weight: Content + Jar
69. Scale: Tool of Truth
70. Justice: Just Weight
71. 100 g + 100 g = 200 g
72. 200 g + 200 g = 400 g
73. 400 g + 100 g = 500 g
74. 500 g + 500 g = 1000 g
75. 1 oz + 1 oz = 2 oz
76. 2 oz + 2 oz = 4 oz
77. 4 oz + 4 oz = 8 oz
78. 8 oz + 8 oz = 16 oz
79. 16 oz + 16 oz = 32 oz
80. 32 oz + 32 oz = 64 oz
81. Estimate: Apple (oz)
82. Estimate: Dog (lb)
83. Estimate: Car (Ton)
84. Estimate: Paperclip (g)
85. Estimate: Book (kg)
86. Measure: Flour
87. Measure: Sugar
88. Measure: Rice
89. Measure: Water
90. Measure: Salt
91. 16 is the Key
92. 1000 is the Key
93. Equilibrium Found
94. Truth Established
95. Substance Weighed
96. Spirit Measured
97. False Balance: Abomination
98. Just Weight: Delight
99. The King's Standard
100. 1.00 Shalom

The Scribe's Dictionary: Unit 3 Vocabulary

Mass:
The amount of matter in an object. It does not change based on location (gravity).
Weight:
The force of gravity acting on an object's mass. It changes if you go to the moon!
Pound (lb):
The standard customary unit of weight. Equal to 16 ounces.
Ounce (oz):
A small customary unit of weight. 1/16th of a pound.
Kilogram (kg):
The basic metric unit of mass. Equal to 1,000 grams.
Gram (g):
A small metric unit of mass. About the weight of a paperclip.
Ton:
A large unit of weight. 2,000 pounds.
Scale:
A tool used to measure weight or mass.
Equilibrium:
A state of balance where forces are equal.
Density:
How much mass is packed into a given volume.

The Prophet's Vision: The Weight of Glory

"For our light affliction... worketh for us a far more exceeding and eternal weight of glory." — 2 Cor 4:17

1. The Gold of Ophir: King Solomon receives 666 talents of gold. If 1 talent equals 75 pounds, how many pounds of gold is that? How many tons?
Pounds: Tons:
2. The Giant's Armor: Goliath's coat of mail weighed 5,000 shekels of brass. If 1 shekel is about 0.4 ounces, how many ounces was the coat? Convert that to pounds.
Ounces: Pounds:
3. The Moon Jump: An astronaut weighs 180 lbs on Earth. On the Moon, gravity is 1/6th as strong. How much does he weigh on the Moon?
Moon Weight: lbs.

The Physics Lab: Density = Mass / Volume

Which is heavier: A pound of lead or a pound of feathers? (They are equal!). But which is denser?

1. The Gold Bar: A bar of gold has a mass of 1000g and a volume of 50 mL. What is its density?
Density: g/mL.
2. The Wood Block: A block of wood has a mass of 400g and a volume of 800 mL. What is its density?
Density: g/mL.
3. Float or Sink? Water has a density of 1 g/mL. Will the wood (from #2) float or sink?

Verdict:

Appendix B: The Master's Final Audit

Check the boxes only when you have mastered the skill.

Certified by the Mentor

Appendix C: The Litany of the Scale

Recite this to close the unit.

Mentor: What is the measure of the rock?

Student: Its weight is its truth.

Mentor: Does the big thing always outweigh the small?

Student: No. The gold is small but heavy. The spirit is invisible but infinite.

Mentor: What is the sign of peace?

Student: Equilibrium. The level bar. The equal sign.

Mentor: Go now, and be a weight of glory in the world.

Student: Amen. 16 to the Pound, 1,000 to the Kilo.

Appendix D: The Great Weight Hunt

Estimate the weight of these items, then find the truth.

Item Estimate Actual (if known)
Your Shoe
A Can of Soup
A Brick
Your Backpack
A Pencil

Unit 3 Complete!

You are ready for the Great Heartbeat.

HALLELUYAH!

Unit 3 Mastery Quiz

1. How many ounces in a pound?

2. How many grams in a kilogram?

3. If you cut a clay ball in half, does its total mass change?

4. Which is a unit of weight: Meter or Gram?

5. What tool do we use to measure mass?

6. Is air matter?

7. True or False: Your mass is the same on the Moon.

8. True or False: Your weight is the same on the Moon.

9. 2,000 lbs = 1

10. Who is the Weigher of Spirits?