Day 1 Grid Map Worksheet The Grid Map
Day 1: Points & Planes
Student Navigator
NAME:
DATE:
Part 1: Anatomy of the Grid
The Coordinate Plane is a map made of two number lines that cross at the origin.
1
X-Axis: Horizontal line.
2
Y-Axis: Vertical line.
3
Origin: Center point \((0, 0)\).
4
Quadrants: Sections I, II, III, IV.
II
I
III
IV
How to Plot a Point \((x, y)\)
Step 1
Start at Origin \((0, 0)\).
Step 2
Move Left/Right for X.
Step 3
Move Up/Down for Y.
Practice: Identifying Coordinates
A B C
Identify the points:
A( ___ , ___ )
B( ___ , ___ )
C( ___ , ___ )
In which Quadrant?
Point A: _________________
Point B: _________________
Point C: _________________
Day 1 Mission: Plot the Targets
Plot and label these points. Check each box when done.
0
D = (4, 1)
E = (-2, 3)
F = (0, -4)
G = (-3, -1)
H = (5, 0)
I = (2, -2)
Self-Check
Did you label each point with its letter? (D, E, F...)
Yes
No
Day 1 Status: Mastered
Review points with teacher before starting Day 2.
Day 2 Data Trail Worksheet The Data Trail
Day 2: Tables to Graphs
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NAME:
Part 1: Finding the Points
Each row in a Data Table represents one point \((x, y)\) on your map.
Row 1: x = 1 and y = 3.
As a coordinate point: (1, 3)
Step 1
Identify \((x, y)\) rows.
Step 2
Plot points on grid.
Step 3
Check for a line.
Step 4
Connect with ruler.
Practice A: Fill & Graph
x y Point -2 0 (-2, 0) 0 2 ( __ , __ ) 2 4 ( __ , __ ) 4 6 ( __ , __ )
Day 2 Mission: Constructing Trails
Trail 1: Downward Path
x y Ordered Pair -3 4 (-3, 4) -1 2 _________ 1 0 _________ 3 -2 _________
Trail 2: Steep Rise
x y Ordered Pair -2 -5 _________ -1 -2 _________ 0 1 _________ 1 4 _________
Mission Success
Ensure your lines are straight and points are accurate before moving to Day 3.
Day 3 Straight Path Worksheet The Straight Path
Day 3: Connecting Two Points
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NAME:
Part 1: The Rule of Two
You only need two points to define a line. Once you have two coordinates, your path is locked in.
2
Points = 1 Line
One point can spin anywhere. Two points create a single, fixed path.
1
Plot Point A
Find the first coordinate.
2
Plot Point B
Find the second coordinate.
3
Extend & Add Arrows
Connect with a ruler.
Practice: Connecting Bases
Mission 1:
(1, 2) & (4, 5)
Mission 2:
(-3, 1) & (2, -4)
Day 3 Mission: Long Range Navigation
Target Pair A
(-5, -3) and (5, 2)
Target Pair B
(0, 4) and (4, -4)
Reflection Log
Can you draw a curved line through just two points for a linear function? Why or why not?
End of Day 3
Day 4 Slope Scale Worksheet The Slope Scale
Day 4: Measuring Steepness
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NAME:
Part 1: Rise Over Run
Slope measures how far a line goes up (or down) compared to how far it goes right .
RISE
RUN
Rise: Up (+) / Down (-)
Run: Always move RIGHT
Positive
Negative
Zero
Undefined
Finding Slope from a Graph
1. Perfect Points: Find where the line hits grid intersections.
2. Count Rise: Boxes moved vertically (+/-).
3. Count Run: Boxes moved horizontally (right).
4. Simplify: Write as a fraction (Rise / Run).
Day 4 Mission: The Steepness Check
Find the slope of each line. Write as a fraction .
Target Slope 1:
Rise: ____
Run: ____
= Slope: ________
Target Slope 2:
Rise: ____
Run: ____
= Slope: ________
Expert Checkpoint
Why is a slope negative when a line goes downward from left to right?
Day 5 Final Trek Worksheet The Final Trek
Day 5: Cumulative Review
Master Navigator
NAME:
1 Plotting & Coordinates
A. Plot these points on the grid:
P = (3, -4)
Q = (-2, 5)
R = (0, -3)
B. In which Quadrant is point Q?
________________________
2 Data Trail Analysis
C. Plot the table values and draw the line:
3 Connecting Bases
"Connect (1, 4) and (-4, -4) with a perfectly straight line."
Checklist:
Extend line to edges
Add arrows at ends
4 Measuring Steepness
D. Find the Slope (red line):
Rise: ____
Run: ____
= _________
Positive or Negative? __________________
Master Navigator
Mission complete! You have mastered the fundamentals of coordinate navigation and linear measurement.
Teacher Approval
Final Mission Score
/ 100
Graphing Navigator Answer Key Teacher Guide Answer Key
Graphing Navigator: 5-Day Packet
Teacher Resource
ALGEBRA 1
Day 1: The Grid Map
Identifying Points:
A: (3, 3) — Quadrant I
B: (-3, -2) — Quadrant III
C: (2, -3) — Quadrant IV
Mission Checklist:
D (4, 1): Right 4, Up 1
E (-2, 3): Left 2, Up 3
F (0, -4): Y-axis point (down 4)
G (-3, -1): Left 3, Down 1
Day 2: The Data Trail
Trail 1 (Downward):
(-3, 4), (-1, 2), (1, 0), (3, -2)
Straight line passing through (0, 1) y-intercept.
Trail 2 (Steep):
(-2, -5), (-1, -2), (0, 1), (1, 4)
Positive slope line with steep incline.
Day 3: The Straight Path
Mission 1:
Line through (-5, -3) and (5, 2). Slope is 1/2.
Mission 2:
Line through (0, 4) and (4, -4). Slope is -2.
Day 4: The Slope Scale
Problem 1:
Rise: 2 / Run: 1
Slope = 2
Problem 2:
Rise: -1 / Run: 3
Slope = -1/3
Day 5: Final Trek Master
Section 1 & 2:
Q is in Quadrant II. Table line slope is 1 (Positive).
Section 3 & 4:
Mission 3 Slope: 8/5. Red Line Slope: -2 (Negative).
Facilitation Guide
Self-Pacing: Encourage students to complete one "Day" per 65-minute block. Check for point plotting accuracy before they start finding slope.
Essential Tools: Rulers or straight edges are non-negotiable for linear graphing.
Watch for:
(y, x) reversals on Day 1.
Leftward run vs rightward run.
Miscounting from axes.
