HavenHub Math • Edition 3

Unit 2 Workbook: The Garden

The Gardener's Vocabulary Bank

Array: A set of objects organized into perfect rows and columns.

Row: A line that goes side-to-side (Horizontal). Like the horizon.

Column: A line that goes up and down (Vertical). Like a pillar.

Area: The total amount of space inside a shape. We measure it in small squares.

Square Number: A number that makes a perfect square array ($3 \times 3$).

Factor: The numbers we multiply to make the array.

Product: The total count of items in the whole garden.

Lesson 2.1: Rows and Columns (The Scribe's Compass)

Scribe's Hint: Rows go across like the horizon (Horizontal). Columns go up and down like the pillars of the Temple (Vertical). Master the lines, and you will master the Garden!

Part 1: The Direction Test
Identify if the line is a ROW (↔) or a COLUMN (↕).

1. ● ● ● ● ● $\implies$ [ ROW / COLUMN ]
2. ●
●
●
● $\implies$ [ ROW / COLUMN ]
3. A window pane goes from top to bottom. $\implies$ [ ROW / COLUMN ]
4. A street goes across the town. $\implies$ [ ROW / COLUMN ]
5. Draw It: Draw a Row of 3 hearts.

Part 2: The Multi-Grid Explorer
Count how many Rows and how many Columns you see.

6. Look at a muffin tin. It has 3 lines across and 4 lines down. Rows: ____ Columns: ____
7. A chocolate box has 2 lines across and 10 lines down. Rows: ____ Columns: ____
8. A window has 2 pillars and 3 horizons. Rows: ____ Columns: ____
9. Draw It: Draw a Column of 5 stars.
10. Logic Check: Can a line be both a row and a column at the same time?

Verification Node: The Law of Order

Scenario: A student says, "I have 3 rows of 4 dots." He draws 3 dots in one row, 4 dots in the second row, and 2 dots in the third row.

The Rupture: Is this an Array? Why is it a lie? Explain the Law of Equality in the Garden.

Lesson 2.2: Building Arrays (The Rectangle of Truth)

Scribe's Hint: Multiplication stories make perfect rectangles! If your shape has a "jagged" edge, check your groups. Every row must be an identical twin of the others.

Part 1: The Garden Plot
Write the math sentence for each array. (Rows $\times$ Columns).

1. ● ● ●
● ● ● $\implies$ ____ $\times$ ____ $=$ ____
2. ● ●
● ●
● ● $\implies$ ____ $\times$ ____ $=$ ____
3. ● ● ● ●
● ● ● ● $\implies$ ____ $\times$ ____ $=$ ____
4. ● ● ● ● ●
● ● ● ● ●
● ● ● ● ● $\implies$ ____ $\times$ ____ $=$ ____
5. Draw It: Draw an array for $4 \times 2$.

Part 2: The Array Detective
Fill in the missing factor.

6. 3 rows of ____ $=$ 15 total.
7. ____ rows of 2 $=$ 8 total.
8. 2 rows of 10 $=$ ____ total.
9. 5 rows of 1 $=$ ____ total.
10. Master Thinking: If you turn an array sideways, does the Product change? (Yes/No) Why?
11. Draw an array for $5 \times 3$.
12. Draw an array for $2 \times 8$.

Lesson 2.3: Area (The Measurement of Space)

Scribe's Hint: Multiplication "fills" the shape! When you find the Area, you are counting all the tiny squares that fit inside the borders. Length × Width = Area.

Part 1: Filling the Floor
Find the total area of each rectangle.

1. A rug is 3 units tall and 4 units wide. Area: ____
2. A field is 2 miles tall and 10 miles wide. Area: ____
3. A table is 5 feet tall and 5 feet wide. Area: ____
4. A floor is 4 feet tall and 6 feet wide. Area: ____
5. A window is 2 feet tall and 3 feet wide. Area: ____

Part 2: The Architect's Sketch
Draw the area on the grid. Shade the squares!

6. Draw an area of 6 ($2 \times 3$).
7. Draw an area of 9 ($3 \times 3$).
8. Draw an area of 10 ($2 \times 5$).
9. Draw an area of 4 ($2 \times 2$).
10. Master Thinking: If a rug has an area of 12, can it be a $3 \times 4$ shape? (Yes/No)
11. A field is 7 units tall and 2 units wide. Area: ____
12. A wall is 10 units tall and 3 units wide. Area: ____
13. A box is 4 units tall and 4 units wide. Area: ____ (Wait, is this a Square?)

Lesson 2.4: Real World Scavenger Hunt

Scribe's Hint: Multiplication is hidden in every room! Look for grids of tiles, windows, and boxes. Identify the pattern and you identify the truth.

Part 1: Home Detective
Find these arrays in your own house and record them.

1. Look at a window. Rows: ____ Columns: ____ Equation: ____
2. Look at a carton of eggs. Rows: ____ Columns: ____ Equation: ____
3. Look at a computer keyboard. Find a small group of keys. Rows: ____ Columns: ____ Equation: ____
4. Look at a floor tile pattern. Rows: ____ Columns: ____ Equation: ____
5. Look at a box of pencils or crayons. Rows: ____ Columns: ____ Equation: ____

Part 2: The Scribe's Sketch
Draw one array you found in your house.

Lesson 2.5: Square Numbers (The Balanced Family)

Scribe's Hint: Square numbers are born when a factor finds its Twin! They are perfectly balanced on all sides. When you see a square, you see the stability of the Kingdom.

Part 1: The Square Tally
Fill in the products for the twin factors.

1. $1 \times 1 =$ ____
2. $2 \times 2 =$ ____
3. $3 \times 3 =$ ____
4. $4 \times 4 =$ ____
5. $5 \times 5 =$ ____
6. $6 \times 6 =$ ____
7. $7 \times 7 =$ ____
8. $8 \times 8 =$ ____
9. $9 \times 9 =$ ____
10. $10 \times 10 =$ ____
11. Mental Square: What is $10 \times 10$? (The Temple Number!)
12. Draw a Square: Draw a $5 \times 5$ square array. Count the dots to verify!

Unit 2 Review: The Master Gardener's Exam

"God is not the author of confusion, but of peace."

Part 1: True or False
Check the truth of each statement.

1. An array must have equal rows. [ TRUE / FALSE ]
2. Rows go up and down. [ TRUE / FALSE ]
3. $3 \times 3$ is a square number. [ TRUE / FALSE ]
4. Area is the space inside a shape. [ TRUE / FALSE ]

Part 2: The Garden Grid
Solve these problems quickly!

5. $2 \times 6 =$ ____
6. $5 \times 5 =$ ____
7. 0 \times 2 =$ ____
8. $4 \times 3 =$ ____
9. Final Test: Draw an array for 16 that is a Square.
10. Explain to your mentor what a "Column" is.

Parent Mentor Guide: The Garden of Order

The Goal: This unit moves multiplication into the world of Geometry. The student should see multiplication as a way to fill space and create shapes. This is the foundation for later concepts like volume and perimeter.

Key Habits to Watch:

Spiritual Connection: The Garden of Eden was an orderly place. By bringing order to their math, children are practicing the same stewardship Adam was given. Order brings peace and allows life to flourish!

The Gardener's Final Vow

"I, ____________________________, a Master Gardener of God's Patterns, promise to see the order in the many. I will arrange my numbers with care, honor the squareness of truth, and walk in the peace of the Garden. Hallelujah!"

Student Signature

UNIT 2 COMPLETE!

You have built a perfect garden of numbers.

GLORIA IN EXCELSIS DEO!

Master Gardener's Diploma

This high honor is awarded to

For mastering the Architecture of Arrays

Rows, Columns, Area, and Square Numbers.

You are now ready for the mystery of The Swap.

Principal Mentor

ORDER
HUB

Date

Appendix: The Scribe's Garden Ledger

Identify the dimensions and find the total Product for each garden plot.

Garden Plot Rows (↔) Cols (↕) Total Area
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