HavenHub Math • Edition 10 • Student Workbook

Unit 1: The Map of Truth

"Navigating the Coordinate Plane"

The Navigator's Meditation: The Fixed Point

In a storm, a sailor needs a fixed point to know where he is. Without a map and a compass, he is lost. In mathematics, the Coordinate Plane is our map. The axes are our compass. The Origin $(0,0)$ is our home.

Every point on the grid has a name and a place. Nothing is hidden; everything is located relative to the Center. As you learn to plot points, remember that you are learning the art of Divine Order. God is not a God of confusion, but of peace (1 Cor 14:33).

Lesson 1.1 & 1.2: The Structure (The Cross)

The Law of the Cross: The X-Axis is the ground you walk on (Horizontal). The Y-Axis is the ladder you climb (Vertical). They meet at the Origin $(0,0)$, the beginning of all journeys.
1. Anatomy of the Map: Label the Grid.

On the grid below, mark the following:

2. Home Base: The Origin Story.

Why do we call $(0,0)$ the "Origin"? If you start a race, what mile marker are you at before you take a step?

Coordinates of Home: ( , )

Lesson 1.3: Run then Jump (Ordered Pairs)

The Rule of Travel: To find a point $(x, y)$, you must move along the X-Axis FIRST.
RUN (Right or Left) $\rightarrow$ JUMP (Up or Down).
Never jump before you run!
1. Finding the Address: Write the ordered pair for each path.
A. Start at (0,0). Go Right 5. Go Up 3.

Address: ( , )
B. Start at (0,0). Go Left 4. Go Up 2.

Address: ( , )
C. Start at (0,0). Go Left 6. Go Down 5.

Address: ( , )
D. Start at (0,0). Go Right 2. Go Down 7.

Address: ( , )
2. The Zero Challenge: Staying on the Line.

If you run Right 5 but do NOT jump up or down, where are you?

Address: ( , )

Lesson 1.4: The Four Rooms (Quadrants)

The Compass of the Grid: Remember the "C" shape! Start Top Right and move Left.
1. Sorting the Rooms: Identify the Home.
A. $(5, 5)$ is in Quadrant:
B. $(-3, 4)$ is in Quadrant:
C. $(-6, -2)$ is in Quadrant:
D. $(10, -1)$ is in Quadrant:
2. The Sign Challenge: Complete the pattern.

If X is Negative and Y is Positive, I am in Quadrant .

If X is Positive and Y is Negative, I am in Quadrant .

If X is Negative and Y is Negative, I am in the Deep Water (Quadrant ).

Lesson 1.5: The Architect's Project (Graphing Shapes)

Synthesis: Points are like stars. When you connect them in order, you create a constellation (shape). Precision matters! If one star is out of place, the picture is broken.
1. Build the Temple Wall.

Plot these points and connect them in order:

(0, 4) $\rightarrow$ (3, 0) $\rightarrow$ (-3, 0) $\rightarrow$ (0, 4)

What shape did you build?

2. The Foundation Square.

Plot these points:

(2, 2) $\rightarrow$ (2, -2) $\rightarrow$ (-2, -2) $\rightarrow$ (-2, 2) $\rightarrow$ (2, 2)

Is the Origin inside the square?

The Scribe's Precision Grid: 100 Rapid Coordinates

Identify the location (Quadrant or Axis) for each point. Write Q1, Q2, Q3, Q4, X-Axis, or Y-Axis.

1. $(1, 1) \rightarrow$
2. $(-1, 1) \rightarrow$
3. $(-1, -1) \rightarrow$
4. $(1, -1) \rightarrow$
5. $(0, 5) \rightarrow$
6. $(5, 0) \rightarrow$
7. $(2, 3) \rightarrow$
8. $(-2, 3) \rightarrow$
9. $(-4, -5) \rightarrow$
10. $(4, -5) \rightarrow$
11. $(0, -2) \rightarrow$
12. $(-2, 0) \rightarrow$
13. $(10, 10) \rightarrow$
14. $(-10, -10) \rightarrow$
15. $(0, 0) \rightarrow$
16. $(3, 0) \rightarrow$
17. $(0, 3) \rightarrow$
18. $(-5, 2) \rightarrow$
19. $(5, -2) \rightarrow$
20. $(-6, -6) \rightarrow$
21. $(1, 0.5) \rightarrow$
22. $(-1, 0.5) \rightarrow$
23. $(100, 1) \rightarrow$
24. $(-100, 1) \rightarrow$
25. $(2, 2) \rightarrow$
26. $(-2, 2) \rightarrow$
27. $(-2, -2) \rightarrow$
28. $(2, -2) \rightarrow$
29. $(0, 100) \rightarrow$
30. $(100, 0) \rightarrow$
31. $(+, +) \rightarrow$
32. $(-, +) \rightarrow$
33. $(-, -) \rightarrow$
34. $(+, -) \rightarrow$
35. $(0, +) \rightarrow$
36. $(+, 0) \rightarrow$
37. $(-3, 5) \rightarrow$
38. $(3, -5) \rightarrow$
39. $(-10, 0) \rightarrow$
40. $(0, -10) \rightarrow$
41. $(1.5, 1.5) \rightarrow$
42. $(-1.5, -1.5) \rightarrow$
43. $(7, 2) \rightarrow$
44. $(-7, 2) \rightarrow$
45. $(-7, -2) \rightarrow$
46. $(7, -2) \rightarrow$
47. $(1, 0) \rightarrow$
48. $(0, 1) \rightarrow$
49. $(-1, 0) \rightarrow$
50. $(0, -1) \rightarrow$
51. $(4, 4) \rightarrow$
52. $(-4, 4) \rightarrow$
53. $(-4, -4) \rightarrow$
54. $(4, -4) \rightarrow$
55. $(8, 1) \rightarrow$
56. $(-8, 1) \rightarrow$
57. $(0, 8) \rightarrow$
58. $(8, 0) \rightarrow$
59. $(x, x) \rightarrow$
60. $(-x, -x) \rightarrow$
61. $(12, 12) \rightarrow$
62. $(-12, 12) \rightarrow$
63. $(-12, -12) \rightarrow$
64. $(12, -12) \rightarrow$
65. $(0.1, 0.1) \rightarrow$
66. $(-0.1, -0.1) \rightarrow$
67. $(5, 10) \rightarrow$
68. $(10, 5) \rightarrow$
69. $(-5, 10) \rightarrow$
70. $(-10, 5) \rightarrow$
71. $(0, 0.1) \rightarrow$
72. $(0.1, 0) \rightarrow$
73. $(3, 3.5) \rightarrow$
74. $(-3, 3.5) \rightarrow$
75. $(-3, -3.5) \rightarrow$
76. $(3, -3.5) \rightarrow$
77. $(1000, 1) \rightarrow$
78. $(1, 1000) \rightarrow$
79. $(-1000, 1) \rightarrow$
80. $(1, -1000) \rightarrow$
81. $(0, 20) \rightarrow$
82. $(20, 0) \rightarrow$
83. $(0, -20) \rightarrow$
84. $(-20, 0) \rightarrow$
85. $(+, +) \rightarrow$ Q1.
86. $(-, +) \rightarrow$ Q2.
87. $(-, -) \rightarrow$ Q3.
88. $(+, -) \rightarrow$ Q4.
89. Origin $\rightarrow$ (0,0).
90. X-Axis $\rightarrow$ y=0.
91. Y-Axis $\rightarrow$ x=0.
92. Q1 $\rightarrow$ (+,+).
93. Q2 $\rightarrow$ (-,+).
94. Q3 $\rightarrow$ (-,-).
95. Q4 $\rightarrow$ (+,-).
96. Start $\rightarrow$ Run.
97. Run $\rightarrow$ Jump.
98. Jump $\rightarrow$ Mark.
99. Mark $\rightarrow$ Check.
100. 1.0 Shalom.

The Scribe's Dictionary: Edition 10 Vocabulary

Coordinate Plane:
The universal grid formed by the intersection of the X and Y axes, used to map all true locations.
X-Axis:
The horizontal line representing the earth (Left/Right movement).
Y-Axis:
The vertical line representing the sky (Up/Down movement).
Origin:
The point $(0,0)$ where the axes cross. It is the beginning of all measurement.
Ordered Pair:
A set of two numbers $(x, y)$ that serves as the specific address for a point.
Quadrant:
One of the four "rooms" of the grid, numbered I, II, III, and IV.
Linear:
Arranged in or extending along a straight or nearly straight line.
Plotting:
The act of finding and marking a specific location on the grid.

Unit 0 Review: The Bridge to Algebra

Recall the Balance: Before we map, we must remember how to solve.
1. Solve for $x$: $2x + 5 = 15$.
$x = $
2. Solve for $y$: $3y - 2 = 10$.
$y = $

The Prophet's Vision: Real-World Coordinates

1. The City Planner: A city is built on a grid. The City Hall is at $(0,0)$. The Library is 3 blocks East and 4 blocks North.
Coordinates of Library: ( , )
2. The Lost Sheep: A shepherd leaves the fold at $(0,0)$. He walks 5 miles West to find water, then 2 miles South to find a sheep.
Coordinates of Sheep: ( , )
3. The Garden Plot: A gardener puts a fence post at $(2, 2)$, another at $(2, -2)$, and another at $(-2, -2)$. Where must he put the 4th post to make a perfect square?
4th Post Coordinates: ( , )

The Artist's Studio: Coordinate Art

The Challenge: Follow the coordinate list below to reveal a hidden symbol. Connect the dots in order as you go.
1. The Star of Direction:
Start at (0, 4)
$\rightarrow$ (1, 1)
$\rightarrow$ (4, 1)
$\rightarrow$ (2, -1)
$\rightarrow$ (3, -4)
$\rightarrow$ (0, -2)
$\rightarrow$ (-3, -4)
$\rightarrow$ (-2, -1)
$\rightarrow$ (-4, 1)
$\rightarrow$ (-1, 1)
$\rightarrow$ Connect back to (0, 4)

Symbol Revealed:

2. The Shield of Faith:
Start at (0, 3)
$\rightarrow$ (3, 3)
$\rightarrow$ (3, -1)
$\rightarrow$ (0, -4)
$\rightarrow$ (-3, -1)
$\rightarrow$ (-3, 3)
$\rightarrow$ Connect back to (0, 3)

Symbol Revealed:

The Scribe's Journal: Reflections on Unit 1

Meditation: I Am Located

Before you learned the grid, points were just floating in space. Now, every point has an address. It has a relationship to the Origin.

Reflect: How does it feel to know that you can describe exactly where something is? Does the grid make the world feel smaller or bigger? Organized or messy?

C.A.M.E. Verification Node: The Navigator's Audit

A student claims: "The point $(0, 5)$ is on the X-Axis because it has a zero."

Is this the Truth? Plot the point $(0, 5)$ in your mind. Did you move Right/Left? Or did you move Up/Down? Correct the student's error.

Verdict:

The Covenant

"I, a Navigator of the Map of Truth, promise to follow the directions of the Great Architect. I will run before I jump, starting at the Origin of all things. I will respect the boundaries of the Quadrants and the law of the Axes. I am located in Truth."

Signed:

Date:

UNIT 1 MASTERED!

You have mapped the unknown.

HALLELUYAH!

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