HavenHub Academy • Edition 5 • Workbook

Unit 3: The Counter

Mastery Level: Just Steward

Lesson 3.1: Identifying the Counter

Problem 1. Look at the shaded shape. Identify the Namer and the Counter.
[Rect divided into 5, 2 shaded gold]
Counter (Top):  
Namer (Bottom):  
Problem 2. Look at the shaded shape.
[Circle divided into 8, 5 shaded gold]
Write the fraction:   /  
Problem 3. Look at the shaded shape.
[Triangle divided into 4, 3 shaded gold]
Write the fraction:   /  
Problem 4. If you have 2 pieces of a 6-piece pie, what is the numerator? ______
Problem 5. If you have 7 pieces of an 8-piece chocolate bar, what is the numerator? ______
Problem 6. Draw a shape for the fraction $\frac{3}{5}$.
DRAW HERE
Problem 7. Identify the numerator in $\frac{12}{25}$. _______
Problem 8. Identify the numerator in $\frac{1}{100}$. _______
Problem 9. If the Counter is 4 and the Namer is 9, write the fraction: _______
Problem 10. If the Counter is 0 and the Namer is 12, write the fraction: _______
Verification Node 3.1 "I testify that the Top Number (the Counter) always tells me how many pieces I hold, and it never changes the size of the pieces."

Student Signature: __________________________

Lesson 3.2: Building the Whole

Problem 11. Complete the Wholes:
$\frac{2}{2}$ = ____      $\frac{5}{5}$ = ____      $\frac{10}{10}$ = ____
Problem 12. If you have a puzzle with 8 pieces, how many pieces do you need to have a whole puzzle? ____
Problem 13. Fill in the missing numerator to make the fraction equal to 1:
____ / 4 = 1      ____ / 100 = 1
Problem 14. Draw a circle for the fraction $\frac{3}{3}$.
DRAW HERE
Problem 15. True or False: $\frac{7}{7}$ is bigger than $\frac{2}{2}$. (Hint: Are they both whole?) ________
Problem 16. If I have $\frac{5}{8}$ of a pizza, how many more eighths do I need to make a whole? ________
Problem 17. If I have $\frac{1}{10}$ of a dollar, how many more tenths do I need to make a whole? ________
Problem 18. Solve: $\frac{1}{4} + \frac{3}{4} = $ _______
Problem 19. Solve: $\frac{2}{5} + \frac{3}{5} = $ _______
Problem 20. Why is $\frac{6}{6}$ equal to 1? Explain using the word "Family."
__________________________________________________________________

Lesson 3.3: Counting Up

Problem 21. Fill in the sequence of Sixths:
$\frac{1}{6}$, ____, $\frac{3}{6}$, ____, ____, $\frac{6}{6}$ (WHOLE!)
Problem 22. Fill in the sequence of Tenths:
$\frac{1}{10}$, $\frac{2}{10}$, ____, ____, ____, $\frac{6}{10}$, ____, ____, ____, ____
Problem 23. Which is bigger: $\frac{4}{8}$ or $\frac{2}{8}$? ________
Problem 24. Order these fractions from smallest to biggest:
$\frac{5}{10}$, $\frac{1}{10}$, $\frac{9}{10}$, $\frac{3}{10}$
________________________________________________________
Problem 25. If you count by Fourths, what comes after $\frac{3}{4}$? ________
Problem 26. If you count by Halves, what comes after $\frac{1}{2}$? ________
Problem 27. Circle the larger fraction: $\frac{2}{3}$ or $\frac{1}{3}$.
Problem 28. Circle the larger fraction: $\frac{7}{12}$ or $\frac{11}{12}$.
Problem 29. Draw a line and mark the positions of $\frac{1}{4}$, $\frac{2}{4}$, and $\frac{3}{4}$.
DRAW LINE HERE
Problem 30. How many "One-Fifths" do you need to make "Three-Fifths"? ________

Lesson 3.4 & 3.5: Abundance and Overflow

Problem 31. Look at the picture.
[Two squares, first full shaded, second has 1/4 shaded]
Write the fraction:   /  
Problem 32. If I have 7 quarters ($\frac{1}{4}$ pieces), do I have more than a whole dollar? ________
Problem 33. Draw a picture for the overflow fraction $\frac{3}{2}$.
DRAW HERE
Problem 34. Circle the "Overflow" fractions (where the King is bigger than the Throne):
$\frac{1}{2}$     $\frac{5}{4}$     $\frac{3}{8}$     $\frac{9}{5}$     $\frac{12}{12}$     $\frac{100}{10}$
Problem 35. If I have $\frac{6}{5}$, I have one whole and ____ extra Fifth.
Problem 36. If I have $\frac{9}{8}$, I have one whole and ____ extra Eighth.
Problem 37. Solve: $\frac{4}{4} + \frac{1}{4} = $ ________
Problem 38. Solve: $\frac{10}{10} + \frac{7}{10} = $ ________
Problem 39. Explain why we call $\frac{5}{4}$ an "Abundance" fraction.
__________________________________________________________________
Problem 40. Challenge: How many halves are in 3 wholes? ________

📜 The Scribe's Vow of Stewardship

"I, __________________________, do solemnly promise to count the portions of my life with honesty and gratitude. I will not ignore the fragments, nor will I forget the Name of the family. I will be a faithful Counter of the gifts I receive."

Signed on this day, ______________________.

Bonus Challenge Problems

Problem 41. If there are 12 eggs in a carton and you use 5, what fraction remains? ________
Problem 42. A pizza has 8 slices. You eat 3 slices. What fraction did you eat? ________ What fraction is left? ________
Problem 43. Write three different fractions that all equal 1 (the whole): ________, ________, ________
Problem 44. If the numerator and denominator are the same number, the fraction always equals ________.
Problem 45. Which is bigger: 0/4 or 4/4? ________ Explain: _______________________
Problem 46. Complete the pattern: 1/6, 2/6, 3/6, _____, _____, 6/6
Problem 47. If I need 8 eighths to make a whole, how many do I need to make 2 wholes? ________
Problem 48. Write a story problem where the answer is 5/8.
__________________________________________________________________
Problem 49. The numerator ________ (increases/decreases) as we count more pieces.
Problem 50. Draw and shade to show that 3/4 + 1/4 = 4/4 = 1 whole.
DRAW HERE

UNIT 3 SIGNET CHALLENGE

Complete these tasks to earn the Signet of The Counter.

Task 1: Count aloud by thirds from 1/3 to 9/3:

________, ________, ________, ________, ________, ________, ________, ________, ________

Task 2: For each fraction, write what you need to add to make 1 whole:

Task 3: Teach someone what the numerator does:

I taught: _______________ Signature: _______________

Mentor's Signature: ___________________________ Date: ___________

Additional Practice: Mixed Problems

Problem 51. A jar has 10 cookies. You eat 3. Write the fraction eaten: ________ Write the fraction remaining: ________
Problem 52. If 6/6 = 1, then 12/6 = ________ wholes.
Problem 53. Circle all fractions equal to 1: 3/3, 5/6, 8/8, 4/5, 10/10, 7/9, 100/100
Problem 54. Draw 5/4 (more than a whole):
DRAW HERE
Problem 55. What comes next? 7/8, 8/8, ________, ________
Problem 56. True or False: Every fraction with 0 as the numerator equals zero. ________
Problem 57. If you have 9/10 of a dollar, how many more tenths do you need for a whole dollar? ________
Problem 58. Order from smallest to largest: 2/5, 4/5, 0/5, 5/5, 3/5
________________________________________________
Problem 59. If the Counter says "7" and the Namer says "12", write the fraction: ________
Problem 60. Explain in your own words what the numerator does:
__________________________________________________________________

Reflection Questions

1. Why is the numerator called "The Counter"?

__________________________________________________________________

2. What happens when we keep adding to the numerator?

__________________________________________________________________

3. How does Psalm 147:4 ("He counts the stars") connect to the numerator?

__________________________________________________________________

Quick Reference: Key Concepts

Master's Checklist for Unit 3

Student Signature: ___________________________ Date: ___________

Scripture Connection

Psalm 147:4 — "He determines the number of the stars and calls them each by name."

God is the ultimate Counter. Just as He counts every star and calls each by name, He counts every detail of your life. When you learn the numerator, you are learning to count like God—with precision, care, and purpose.