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Plot the ordered pairs on a coordinate plane to reveal shapes inspired by the Mario franchise.

A worksheet titled "Mario" with instructions to plot ordered pairs on a coordinate plane to form shapes, resembling characters from the Mario video game series.

A worksheet titled "Mario" with instructions to plot ordered pairs on a coordinate plane to form shapes, resembling characters from the Mario video game series.

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Show Answer Key & Explanations Step-by-step solution for: Mario Graphing | PDF | Graph Theory | Geometry

Problem Description:


The task involves plotting ordered pairs (coordinates) on a Cartesian plane and connecting them in order to form shapes. The shapes are labeled from Shape 1 to Shape 23, and each shape has its own set of coordinates. The instructions specify that the paper should be held vertically, and the shapes should not be connected to each other.

Solution Approach:


1. Understand the Task:
- Each "Shape" is defined by a list of ordered pairs (x, y).
- Plot these points on a Cartesian plane.
- Connect the points in the order they are listed for each shape.
- Do not connect one shape to another.

2. Steps to Solve:
- Use graph paper or a digital tool to plot the points.
- For each shape, plot all the given points and connect them sequentially.
- Ensure that the axes are properly scaled to accommodate all the coordinates.
- Hold the paper vertically as instructed, which might affect how you interpret the orientation of the final image.

3. Key Observations:
- The coordinates provided span both positive and negative values, so the origin (0, 0) should be at the center of your graph.
- The shapes are likely part of a larger composite image, but they must remain separate as per the instructions.

4. Implementation:
- Start with Shape 1 and plot all its points. Connect them in the order given.
- Repeat this process for each subsequent shape (Shape 2, Shape 3, ..., Shape 23).
- Ensure that no lines connect one shape to another.

5. Expected Outcome:
- When all shapes are plotted and connected correctly, they will form a recognizable image. Given the title "Mario," it is reasonable to expect that the combined shapes will depict an image related to Mario.

Explanation of the Process:


- Plotting Points: Each coordinate (x, y) represents a point on the Cartesian plane. For example, the point (-12, 4.5) in Shape 1 means moving 12 units to the left of the origin and 4.5 units up.
- Connecting Points: After plotting all the points for a shape, draw straight lines between consecutive points in the order they are listed. This will outline the shape.
- Vertical Orientation: Holding the paper vertically might change how you perceive the orientation of the shapes. Ensure that the vertical axis is aligned with the longer side of the paper.

Final Answer:


By following the steps above and plotting all the shapes, you will create an image. Since the task specifies that the shapes should not be connected to each other, the final result will consist of multiple distinct shapes. The combined effect of these shapes, when viewed together, is likely to form an image of Mario.

\boxed{\text{Follow the steps to plot and connect the points for each shape to form the image.}}
Parent Tip: Review the logic above to help your child master the concept of mario coordinate graphing.
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