HavenHub Math • Edition 2 • Workbook

Unit 3: Grouping

"Let all things be done decently and in order." — 1 Corinthians 14:40

The Scribe's Vocabulary Bank

Digit: A single symbol used to write numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). These are the "bricks" of math.

Place Value: The rule that says a digit's value depends on where it is sitting. A 5 in the Tens place is worth 50!

Tens Mansion: The place on the left where bundles of ten live.

Ones Cottage: The place on the right where single ones live (up to 9).

Standard Form: The normal way to write a number (e.g., 42).

Expanded Form: Stretching a number out to show its parts (e.g., $40 + 2$).

Guardian Zero: The digit 0. It holds a place open so other digits stay where they belong.

Stewardship: Taking care of what God has given us by keeping it in order.

Lesson 3.1: The Two Rooms (The Village of Value)

Scribe's Hint: Remember the rule of the Cottage! Only nine "Ones" can sleep there. If a tenth friend arrives, you MUST bundle them up and move them to the Mansion next door. This is the Law of Promotion!

Part 1: The Move to the Mansion
The Ones Cottage is full! Bundle the friends and move them to the Mansion.

1. You have 10 loose Ones. How many Tens is that? (Think of a dime!)
2. You have 20 loose Ones. How many Tens is that? (Think of two dimes!)
3. If you have 1 Ten and 3 Ones, what is the number?
4. If you have 4 Tens and 0 Ones, what is the number? (Don't forget the Zero Guardian!)
5. Draw It: Draw 2 Tens (as square boxes) and 5 Ones (as small tally marks). Show them living in their correct houses.

Part 2: Identifying the Rooms
Look at the number and tell me who lives where. Be a detective of the digits!

6. In the number 52, which digit is in the Tens Room?
7. In the number 18, which digit is in the Ones Room?
8. In the number 99, how many bundles are there? (Look left!)
9. Critical Thinking: Can you have 12 Ones in the Ones Cottage? (Yes/No) Why?
10. The Guardian Zero: If the Ones Cottage is empty, what digit stands guard to keep the place open?

Verification Node: The Law of the Bundle

Scenario: A shepherd counts his sheep. He finds he has 13 sheep. He tries to put all of them into the "Ones Pen" (which only holds 9).

The Rupture: What will happen to the pen? Will the sheep be safe or crowded?

The Repair: What should the shepherd do to fix the problem? (Hint: Make a bundle of ten and move it!) Draw the solution below.

Signet Challenge: Explain to a parent why 10 pennies are the same as 1 dime. Draw a picture of it here showing the "Trade."

Lesson 3.2: The T-Chart Blueprint

Scribe's Hint: The T-Chart is like a wall. It keeps the "Big Tens" from crushing the "Little Ones." Always write the T on the Left and the O on the Right. T comes before O in the alphabet of Math Power!

Part 1: The Scribe's Record
Place the numbers into the Holy T-Chart. Do not let them cross the line!

1. Record 35. T: [ ] O: [ ]
2. Record 72. T: [ ] O: [ ]
3. Record 80. T: [ ] O: [ ]
4. Record 9. T: [ ] O: [ ] (Careful! Is there a Ten?)
5. Reverse It: If T=6 and O=4, what is the number? Say it out loud!

Part 2: The Value of Position
Circle the value of the underlined digit. Ask yourself: "Is it a Chief or a Child?"

6. 42     ( 4  /  40 )
7. 36     ( 6  /  60 )
8. 91     ( 9  /  90 )
9. 15     ( 5  /  50 )
10. The Mystery: I have 5 Tens and 12 Ones. Who am I? (Hint: Bundle 10 of those Ones to make another Ten! Now you have 6 Tens and 2 Ones...)

Verification Node: The Lying Ledger

Scenario: An apprentice scribe writes "Forty-Seven" as "407" on the chart. He put the 40 in the Tens column!

The Rupture: Why is this wrong? What does 407 actually mean? (Hint: It means 4 Hundreds!)

The Repair: Show the apprentice how to use the T-Chart correctly to write 47.

Signet Challenge: Create a T-Chart for your family. Count how many "Tens" of years old your father is (e.g., 30) and how many "Ones" (e.g., 5). Record it properly on a separate piece of paper and staple it here.

Lesson 3.3: The Accordion Stretch

Scribe's Hint: When you stretch a number, you are showing its "True Name." The digit 5 might look small, but if it sits in the Tens place, its true name is "Fifty." Use the plus sign (+) to hold the pieces together!

Part 1: The Stretch (Expanded Form)
Pull the number apart to show its secret value. Listen to the name as you say it!

1. $54 = $ ____ $+$ ____ ("Fifty" + "Four")
2. $29 = $ ____ $+$ ____
3. $81 = $ ____ $+$ ____
4. $17 = $ ____ $+$ ____
5. $60 = $ ____ $+$ ____ (The zero is important!)

Part 2: The Squeeze (Standard Form)
Put the parts back together to make the standard number. Hide the zero!

6. $30 + 5 =$ ____
7. $90 + 9 =$ ____
8. $40 + 1 =$ ____
9. $70 + 0 =$ ____
10. Deep Thinking: Why is $50 + 2$ NOT equal to 502? Explain what the zero does when you squeeze them back together.

Verification Node: The Hidden Zero

Truth: When a number like 40 is in standard form (45), the zero hides behind the 5. When we expand it ($40 + 5$), the zero comes out! It is like a secret agent.

Task: Draw a picture of the number 63 "unrolling" like a scroll to show $60 + 3$. Make sure the 60 looks big and proud!

Signet Challenge: Write your age in Expanded Form. Write your parent's age in Expanded Form. Compare the "Tens" parts. How many decades older are they?

Lesson 3.4: Gold Bars vs. Pennies (The Scale)

Scribe's Hint: Never let the "Little Ones" trick you! A number might have 9 Ones, but if it only has 1 Ten, it is small. Always look at the Tens place first. It is the "King of the Comparison."

Part 1: The Judgment of the Scale
Circle the number that is GREATER (>). Remember: Check the Tens First!

1. 42    vs    24
2. 59    vs    61
3. 18    vs    81
4. 35    vs    32    (Tens match! Check the Ones!)
5. 99    vs    100    (A new room appears!)

Part 2: True or False
Is the statement correct? Write T or F.

6. 71 > 17
7. 45 < 42
8. 90 > 89
9. Trick Question: 19 is greater than 21 because 9 is a bigger digit than 1. (True/False)
10. Draw It: Draw 13 and 31 using Boxes (Tens) and Lines (Ones). Show visually why 31 is the winner.

Verification Node: The Weightier Matters

Scripture: Jesus talked about the "weightier matters" of the law (Matthew 23:23). In math, the "Tens" are weightier than the "Ones." We must always judge the big things before the small things.

Reflect: Why is it important to look at the "Tens" first when making a decision? Write your thought here.

Signet Challenge: Find two books with page numbers. Open them to random pages. Which page number is greater? Explain how you know by looking at the Tens place first.

Unit 3 Review Challenge: The Master Scribe's Exam

"Show me your work, and I will show you your heart."

1. Vocabulary Check: What do we call the tool with a T and an O?
2. True or False: A digit's value depends on where it sits.
3. Big Thinking: Why do we bundle sheep (or ones) into groups of ten? (To make them easier to count/manage)
4. Solve: 5 Tens + 4 Ones = ____
5. Solve: 40 + 5 = ____

Parent Mentor Guide: The Heart of Unit 3

The Goal: This unit transitions the student from "counting by ones" (which is slow and error-prone) to "thinking in groups" (which is powerful and efficient). This is the foundation of all higher math.

Key Concepts to Reinforce:

Scriptural Connection: Remind your child of the "Storehouses of Joseph." Organization is a form of stewardship. When we keep our numbers organized, we are practicing the same skills Joseph used to save Egypt from famine. Order brings life!

Lesson 3.5: Organizing the Storehouse (Stewardship)

Part 1: The Master Builder's Inventory
Group these items into Tens to find the total quickly. Order brings peace!

1. Nails: You have 4 piles of ten nails and 3 loose nails. Total?
2. Bricks: You have 8 stacks of ten bricks and 0 loose bricks. Total?
3. Wood: You have 2 bundles of wood and 9 loose planks. Total?
4. Paint: You have 10 cans. How many bundles is that?
5. Draw It: Draw 35 apples organized into baskets of ten.

Part 2: The Peace of Order
Fix the messy inventory list.

6. The Scribe wrote "Five Tens and Two Ones." Write the number:
7. The Scribe wrote "Seven Tens." Write the number:
8. The Scribe wrote "Ten Ones." Is this allowed in the Cottage? (Yes/No)
9. Rewrite "Ten Ones" correctly as a number:
10. Final Check: Does grouping by Ten make counting faster or slower?

Verification Node: The God of Order

Scripture: "Let all things be done decently and in order." (1 Cor 14:40)

Truth: Chaos brings stress. Order brings peace. When you organize your numbers (and your room!), you are acting like a child of the King.

Task: Name one thing in your room you can organize by groups of ten.

The Scribe's Vow of Stewardship

"I, ____________________________, promise to be a faithful steward of the numbers I am given. I will respect the Bundle, honor the Place, and tell the Truth in every ledger. I will use the power of Order to bring peace to my work. Hallelujah!"

Student Signature

UNIT 3 COMPLETE!

You are now a Master of the Tens.

GLORIA IN EXCELSIS DEO!

Certificate of Mastery

This certifies that

Has successfully completed Unit 3: Grouping

And has proven themselves to be a faithful Scribe of the Tens and Ones.

Mentor Signature

Date