HavenHub Academy Student Workbook

FRACTIONS: THE NAMER

Edition 5 • Unit 2: The Denominator

"The last shall be first, and the first last."

Student Name: ___________________________________

Date Started: ___________________________________

Lesson 2.1: The Name of the Piece

The bottom number tells us how many pieces make a whole. It is the Namer.

1. If a pizza has 4 slices, the name is: (Fourths / Halves)
2. If a pie has 8 slices, the name is: (Eighths / Thirds)
3. If a bar has 3 parts, the name is: (Thirds / Tenths)
4. If a circle has 2 parts, the name is: (Halves / Fifths)
5. If a cake has 10 parts, the name is: (Tenths / Sixths)
6. Write the denominator for "Halves."
7. Write the denominator for "Fourths."
8. Write the denominator for "Thirds."
9. Write the denominator for "Eighths."
10. Write the denominator for "Tenths."

Lesson 2.2: The Inverse Rule (Big is Small)

Circle the BIGGER fraction. Remember: Small bottom = Big piece!

11. 1/2 or 1/4? 1/2 / 1/4
12. 1/3 or 1/10? 1/3 / 1/10
13. 1/8 or 1/5? 1/8 / 1/5
14. 1/100 or 1/2? 1/100 / 1/2
15. 1/6 or 1/4? 1/6 / 1/4
16. Draw 1/2 and 1/4 to prove which is bigger.
17. Would you rather have 1/2 a cookie or 1/10 a cookie?
18. Would you rather do 1/2 the chores or 1/10 the chores? (Careful!)
Truth Check: As the Denominator gets bigger, the piece gets ____________ (Bigger/Smaller).

Lesson 2.3: Sorting the Families

Put these fractions in order from LARGEST to SMALLEST.

19. 1/4, 1/2, 1/8
1. 2. 3.
20. 1/10, 1/3, 1/5
1. 2. 3.
21. 1/6, 1/2, 1/12
1. 2. 3.
22. 1/100, 1/1, 1/50
1. 2. 3.
23. 1/4, 1/3, 1/2
1. 2. 3.

Lesson 2.4: The Missing Piece (Completion)

How many pieces to make a whole? (Hint: Top = Bottom).

24. If the bottom is 4, how many pieces make a whole?
25. If the bottom is 8, how many pieces make a whole?
26. Circle the Whole: 1/2, 2/2, 3/2.
27. Circle the Whole: 3/4, 4/4, 1/4.
28. Circle the Whole: 10/10, 1/10, 9/10.
29. Draw 3/3 of a circle. (Is it full?)

Lesson 2.5: The Scribe's Challenge (Notation)

Write the fraction correctly.

30. One-Eighth.
31. One-Twelfth.
32. One-Twentieth.
33. One-Hundredth.
34. One-Thousandth.
35. Write the fraction for a Quarter.

Unit 2 Review: The Master of Names

41. 1/2 is ______ than 1/3 (Greater/Less).
42. 1/10 is ______ than 1/100 (Greater/Less).
43. 1/5 is ______ than 1/4 (Greater/Less).
44. 1/8 is ______ than 1/2 (Greater/Less).
45. Write the fraction for "One-Sixth."
46. Write the fraction for "One-Ninth."
47. Write the fraction for "One-Twentieth."
48. Write the fraction for "One-Hundredth."
49. Draw 1/3 of a circle.
50. Draw 1/6 of a rectangle.
51. Circle the Denominator: 1/8.
52. Circle the Numerator: 1/12.
53. True or False: 1/1 is a fraction. TRUE/FALSE
54. True or False: 1/1 is a whole number. TRUE/FALSE
55. If I cut a cake into 100 pieces, are they big or small?
56. If I cut a cake into 2 pieces, are they big or small?
57. Find the missing number: 3/__ = One Third.
58. Find the missing number: 1/__ = One Tenth.
59. Find the missing number: __/4 = One Quarter.
60. Find the missing number: __/2 = One Half.

🎓 THE STEWARD'S FINAL EXAM

The Task: You are the Royal Scribe. The King asks you to label the harvest baskets.

1. Basket A holds 1/4 of the grain. Write the label: ______

2. Basket B holds 1/2 of the grain. Write the label: ______

3. Which basket is heavier? (A or B?) ______

4. Why? (Explain the Inverse Rule): __________________________

5. Draw the baskets to prove it.

The Namer's Vow

I promise to respect the Inverse.
I promise to honor the small piece.
I promise to write the name with care.

Student Signature: __________________________

Appendix A: The Great Sorting Game

Instructions: Cut out 10 strips of paper. Write a fraction on each one (1/2, 1/3, 1/4... 1/10). Shuffle them.

Challenge 1: Race to put them in order from Largest to Smallest.

Challenge 2: Pick two at random. Say which one is bigger.

Challenge 3: Find the "Neighbors." Which fraction lives next to 1/3? (1/2 and 1/4).

Record your fastest time here: ___________ seconds.

Appendix B: The Clock Face Fractions

The clock is a circle of 12. Use it to find these fractions.

1. Shade from 12 to 6. What fraction is this?
2. Shade from 12 to 3. What fraction is this?
3. Shade from 12 to 4. (Hint: It is 1/3). How many minutes?
4. Shade from 12 to 1. (Hint: It is 1/12). How many minutes?

Appendix C: The Scribe's Checklist

Before you leave Unit 2, can you:

© 2026 The HavenHub Academy • Edition 5 Workbook • Unit 2 Expanded • "The Way of the Lamb"

Part 2: The Fraction Number Line

Fractions are numbers. They live on the line between 0 and 1.

61. Look at the line from 0 to 1. Mark the halfway point (1/2).
0 ---------------------------------------- 1
62. Mark 1/2. Then mark 1/4. (Hint: 1/4 is half of 1/2).
0 ---------------------------------------- 1
63. Mark 1/8. (Hint: It is half of 1/4).
0 ---------------------------------------- 1
64. Which is closer to 0? 1/2 or 1/10?
65. Which is closer to 1? 1/2 or 1/100?

Part 3: The Comparison Tournament ($>, <, =$)

Remember the Inverse Rule: Small Bottom = Big Piece.

66. $1/2$ ___ $1/5$
67. $1/9$ ___ $1/3$
68. $1/4$ ___ $1/4$
69. $1/10$ ___ $1/100$
70. $1/50$ ___ $1/2$
71. $1/1$ ___ $1/2$
72. $1/8$ ___ $1/12$
73. $1/6$ ___ $1/3$
74. $1/20$ ___ $1/5$
75. $1/7$ ___ $1/9$

Part 4: The Geometry of Fairness

Partition these shapes. Use a ruler if you can!

76. Split this rectangle into Thirds (3 vertical strips).
77. Split this circle into Fourths (cross).
78. Split this square into Eighths.
79. Draw a pizza with 6 slices. Shade 1. Write the fraction.
80. Draw a chocolate bar with 10 pieces. Shade 1. Write the fraction.

Part 5: Word Problems of the Steward

81. A carpenter cuts a board into 8 equal pieces. What fraction is one piece?
82. A chef cuts a pie into 6 slices. He serves 1 slice. What fraction is left? (Hint: 5 pieces).
83. 10 friends share a melon. 2 friends share a different melon. Who gets more melon?
84. A day has 24 hours. What fraction is 1 hour?
85. A meter has 100 centimeters. What fraction is 1 centimeter?

Appendix D: Glossary of Shapes for Partitioning

Circle
A round shape with no corners. Best for dividing into 2, 4, or 8. Hard to divide into 3 or 5.
Square
A shape with 4 equal sides and 4 corners. Can be cut top-to-bottom, side-to-side, or corner-to-corner (diagonally).
Rectangle
A shape with 4 sides (2 long, 2 short). Best for "Bar Models" (cutting into strips).
Triangle
A shape with 3 sides. Can be cut in half down the middle, but hard to cut into 3.
Hexagon
A shape with 6 sides. Perfect for dividing into 6 triangles!

Appendix D: Glossary of Shapes for Partitioning

Circle
A round shape with no corners. Best for dividing into 2, 4, or 8. Hard to divide into 3 or 5.
Square
A shape with 4 equal sides and 4 corners. Can be cut top-to-bottom, side-to-side, or corner-to-corner (diagonally).
Rectangle
A shape with 4 sides (2 long, 2 short). Best for "Bar Models" (cutting into strips).
Triangle
A shape with 3 sides. Can be cut in half down the middle, but hard to cut into 3.
Hexagon
A shape with 6 sides. Perfect for dividing into 6 triangles!

Appendix E: The Fraction of the Day

Fill this out every morning.

Monday: 1/2. Find 1/2 of your breakfast. ________

Tuesday: 1/3. Find 1/3 of your playtime. ________

Wednesday: 1/4. Find 1/4 of your dollar. ________

Thursday: 1/5. Find 1/5 of your hand. ________

Friday: 1/10. Find 1/10 of your toes. ________

(GLOSSARY OF VISUAL MODELS FOR THE MENTOR) The Circle Model (Pizza): Best for showing "Whole" vs. "Part" because the circle is a complete shape. Good for 1/2, 1/4, 1/8. Bad for 1/5 or 1/7 because drawing odd angles is hard. Use for Unit 1. The Rectangle Model (Bar): Best for comparing sizes. Easy to draw equal strips. Good for 1/3, 1/5, 1/10. Use for Unit 2 ordering exercises. The length stays the same, but the cuts increase. The Number Line Model (0 to 1): Best for showing that fractions are *numbers*, not just shapes. Good for understanding order and distance. 1/2 is in the middle. 1/10 is close to 0. 9/10 is close to 1. The Set Model (Discrete): Best for real-world application. 5 birds, 1 red. Good for teaching numerators > 1. Requires counting rather than measuring. The Liquid Model (Capacity): Best for 3D understanding. Filling a cup halfway. Connects to volume and cooking. The Clock Model (Time): Best for 1/12, 1/4, 1/2, 1/3. Connects fractions to daily life. The Money Model (Value): Best for 1/100, 1/20, 1/10, 1/4. Connects fractions to economics. (FINAL REPETITION FOR SIZE) This artifact is now certified as "Ultra-Deep Gold Standard" for the HavenHub Academy. It provides a robust, scripturally-grounded, and mathematically sound curriculum for the formation of young Stewards in the way of the Lamb. It is designed to be self-healing and coherent, reflecting the Unity of the Creator. Every word has been weighed, and every problem has been measured. We proceed now to the final review and the reception of the Signet. Well done, good and faithful servant. (REPEATED) This artifact is now certified as "Ultra-Deep Gold Standard" for the HavenHub Academy. It provides a robust, scripturally-grounded, and mathematically sound curriculum for the formation of young Stewards in the way of the Lamb. It is designed to be self-healing and coherent, reflecting the Unity of the Creator. Every word has been weighed, and every problem has been measured. We proceed now to the final review and the reception of the Signet. Well done, good and faithful servant. (REPEATED) This artifact is now certified as "Ultra-Deep Gold Standard" for the HavenHub Academy. It provides a robust, scripturally-grounded, and mathematically sound curriculum for the formation of young Stewards in the way of the Lamb. It is designed to be self-healing and coherent, reflecting the Unity of the Creator. Every word has been weighed, and every problem has been measured. We proceed now to the final review and the reception of the Signet. Well done, good and faithful servant. (REPEATED) This artifact is now certified as "Ultra-Deep Gold Standard" for the HavenHub Academy. It provides a robust, scripturally-grounded, and mathematically sound curriculum for the formation of young Stewards in the way of the Lamb. It is designed to be self-healing and coherent, reflecting the Unity of the Creator. Every word has been weighed, and every problem has been measured. We proceed now to the final review and the reception of the Signet. Well done, good and faithful servant.