Question
Mr. Tanner is a soccer coach and a math teacher at his school. For soccer practice,
he designed a training drill for his players. The running pattern is shown above.
Each student is represented by a letter, and his running path is shown by a colored
line. Mr. Tanner later used the same training drill plan in his math class. He noticed
that the plan had many different geometrical features, and he asked his students to
identify them. Just like Mr. Tanner’s students, you are going to identify geometric
features in the training drill plan.
Part 1
Directions: Identify the following geometric shapes and lines in Mr. Tanner’s drill
pattern. You can identify the shapes and lines by either printing and marking up a
copy of Mr. Tanner’s drill pattern or by describing which players’ paths create the
shapes. Note: The shapes that you identify may have other lines running through
them.
Part 2
Directions: Draw a new training drill plan for Mr. Tanner. You can use the rays in
the table or draw your own. Your plan must include the seven geometric features
that are included in Mr. Tanner’s plan. Explain your placement of the players. After
you create your plan, make three copies. Highlight and label the triangles on the
first copy, the polygons on the second copy, and the lines on the third copy.
he designed a training drill for his players. The running pattern is shown above.
Each student is represented by a letter, and his running path is shown by a colored
line. Mr. Tanner later used the same training drill plan in his math class. He noticed
that the plan had many different geometrical features, and he asked his students to
identify them. Just like Mr. Tanner’s students, you are going to identify geometric
features in the training drill plan.
Part 1
Directions: Identify the following geometric shapes and lines in Mr. Tanner’s drill
pattern. You can identify the shapes and lines by either printing and marking up a
copy of Mr. Tanner’s drill pattern or by describing which players’ paths create the
shapes. Note: The shapes that you identify may have other lines running through
them.
Part 2
Directions: Draw a new training drill plan for Mr. Tanner. You can use the rays in
the table or draw your own. Your plan must include the seven geometric features
that are included in Mr. Tanner’s plan. Explain your placement of the players. After
you create your plan, make three copies. Highlight and label the triangles on the
first copy, the polygons on the second copy, and the lines on the third copy.
Answers
GPT-4o mini
I can't see Mr. Tanner's drill pattern, so I cannot directly identify specific geometric shapes or lines from it. However, I can give you guidance on how to approach the task based on common geometric shapes and features that may be found in a running path design.
### Part 1: Identifying Geometric Shapes and Lines
1. **Triangles** - Look for any three-player paths that form a closed triangular shape. For instance, if players A, B, and C are positioned at three points that connect to form a triangle, identify that.
2. **Polygons** - Check for quadrilaterals (like squares or rectangles) or any higher-order polygons (like pentagons or hexagons) that may be created using the paths of the players. For example, if players A, B, C, and D connect in a way that resembles a square, mark that as a polygon.
3. **Lines** - Identify straight pathways created by players running in a straight line from one point to another. For example, if player A runs straight to player B without changing direction, that is a line segment.
4. **Rays** - If a player begins at a certain point and continues running in one direction indefinitely, that path represents a ray. Identify such pathways.
5. **Circles or Curved Paths** - Identify any paths that might form a circular shape or semi-circle. Often in drills, players might run a circular route.
6. **Angles** - Note any points where two lines meet to form angles. For instance, the intersection of players' paths can create acute, right, or obtuse angles.
### Part 2: Drawing a New Training Drill Plan
When creating your new training drill plan:
1. **Create a Rough Outline** - Draw a simple layout where you can easily position the players in a way that allows for the mentioned geometric features.
2. **Placement of Players**:
- Position players to form **triangles** by placing them at three corners of a triangle.
- Arrange groups of players in such a way that they can complete **polygons** by ensuring they form at least four points.
- Place players in straight lines to represent **lines** and **rays**.
- For **angles**, ensure some of the lines intersect at a point.
3. **Examples**:
- **Triangle**: Players A, B, and C can be placed at points (0, 0), (2, 0), and (1, 1.732) to form an equilateral triangle.
- **Quadrilateral**: Players D, E, F, and G could be at (0, 0), (0, 2), (2, 2), and (2, 0) to create a square.
- **Circles**: A player could run in a circular path around another stationary player.
### Making Copies
After you have your training drill plan, follow these steps:
1. **Copy the Drill Plan** - Make three copies of your drawing.
2. **Highlight and Label**:
- On the first copy, highlight and label the **triangles** you identified.
- On the second copy, mark and label the **polygons**.
- On the third copy, highlight and label the **lines** and **rays**.
### Conclusion
Make sure to label each identified feature clearly so that it can be easily understood. Good luck with your geometric analysis and training drill design! If you need further help, feel free to ask!
### Part 1: Identifying Geometric Shapes and Lines
1. **Triangles** - Look for any three-player paths that form a closed triangular shape. For instance, if players A, B, and C are positioned at three points that connect to form a triangle, identify that.
2. **Polygons** - Check for quadrilaterals (like squares or rectangles) or any higher-order polygons (like pentagons or hexagons) that may be created using the paths of the players. For example, if players A, B, C, and D connect in a way that resembles a square, mark that as a polygon.
3. **Lines** - Identify straight pathways created by players running in a straight line from one point to another. For example, if player A runs straight to player B without changing direction, that is a line segment.
4. **Rays** - If a player begins at a certain point and continues running in one direction indefinitely, that path represents a ray. Identify such pathways.
5. **Circles or Curved Paths** - Identify any paths that might form a circular shape or semi-circle. Often in drills, players might run a circular route.
6. **Angles** - Note any points where two lines meet to form angles. For instance, the intersection of players' paths can create acute, right, or obtuse angles.
### Part 2: Drawing a New Training Drill Plan
When creating your new training drill plan:
1. **Create a Rough Outline** - Draw a simple layout where you can easily position the players in a way that allows for the mentioned geometric features.
2. **Placement of Players**:
- Position players to form **triangles** by placing them at three corners of a triangle.
- Arrange groups of players in such a way that they can complete **polygons** by ensuring they form at least four points.
- Place players in straight lines to represent **lines** and **rays**.
- For **angles**, ensure some of the lines intersect at a point.
3. **Examples**:
- **Triangle**: Players A, B, and C can be placed at points (0, 0), (2, 0), and (1, 1.732) to form an equilateral triangle.
- **Quadrilateral**: Players D, E, F, and G could be at (0, 0), (0, 2), (2, 2), and (2, 0) to create a square.
- **Circles**: A player could run in a circular path around another stationary player.
### Making Copies
After you have your training drill plan, follow these steps:
1. **Copy the Drill Plan** - Make three copies of your drawing.
2. **Highlight and Label**:
- On the first copy, highlight and label the **triangles** you identified.
- On the second copy, mark and label the **polygons**.
- On the third copy, highlight and label the **lines** and **rays**.
### Conclusion
Make sure to label each identified feature clearly so that it can be easily understood. Good luck with your geometric analysis and training drill design! If you need further help, feel free to ask!