What to do
Note to teacher: This internal assessment activity is an example that MUST be adapted before use, ensuring that all requirements of the Achievement Standard are still met. This textbox should be removed prior to sharing the activity with your students.
Note to teacher: This internal assessment activity is an example that MUST be adapted before use, ensuring that all requirements of the Achievement Standard are still met. This textbox should be removed prior to sharing the activity with your students.
A new fruit and vegetable garden is being built in your local community. You are the project planner for the construction of the garden.
As the project planner, you will be exploring how to maximise the size of a garden bed following a common design and calculating the costs of the project. You will also investigate other potential shapes for the garden bed. Once completed, your final garden bed design will then be replicated throughout the entire community garden project.
You will need to:
- find the dimensions of a common garden bed design that maximises the area that can enclosed
- use graphs or algebra to show that you have found the maximum area enclosed
- calculate the GST exclusive cost of one garden bed, including the timber and garden mix
- consider and explain other shapes which would use the same amount of timber that could improve on your current garden design, or any limitations of your design. You could also think about assumptions you have made and any generalisations or predictions that could be made.
A new fruit and vegetable garden is being built in your local community. You are the project planner for the construction of the garden.
As the project planner, you will be exploring how to maximise the size of a garden bed following a common design and calculating the costs of the project. You will also investigate other potential shapes for the garden bed. Once completed, your final garden bed design will then be replicated throughout the entire community garden project.
You will need to:
- find the dimensions of a common garden bed design that maximises the area that can enclosed
- use graphs or algebra to show that you have found the maximum area enclosed
- calculate the GST exclusive cost of one garden bed, including the timber and garden mix
- consider and explain other shapes which would use the same amount of timber that could improve on your current garden design, or any limitations of your design. You could also think about assumptions you have made and any generalisations or predictions that could be made.
How to present your learning
In solving this problem, you should:
- show calculations, as appropriate, that you have used in your exploration of the problem
- use correct mathematical statements
- explain what you are calculating at each stage of the solution
- describe how your mathematical working relates to the garden.
The quality of your mathematical reasoning and connections, and how well you link these to the context of the garden will determine your overall grade.
You may present your answer in any way that effectively communicates your working and conclusions. You must show all working including how you may have used technology.
In solving this problem, you should:
- show calculations, as appropriate, that you have used in your exploration of the problem
- use correct mathematical statements
- explain what you are calculating at each stage of the solution
- describe how your mathematical working relates to the garden.
The quality of your mathematical reasoning and connections, and how well you link these to the context of the garden will determine your overall grade.
You may present your answer in any way that effectively communicates your working and conclusions. You must show all working including how you may have used technology.
Timeframe
Your kaiako will inform you in advance of the date that the activity will be completed and the amount of in-class time to complete the activity (approximately three hours, including planning).
Your kaiako will inform you in advance of the date that the activity will be completed and the amount of in-class time to complete the activity (approximately three hours, including planning).
Getting started
In this activity you may need to use mathematical methods relating to the following:
- Volume of pyramids, cones, spheres, and composite shapes including prisms.
- Trigonometric ratios in right-angled triangles.
- Inverse percentage change, proportion (including scale diagrams), and more complex rates and ratios.
- Graph linear and quadratic functions and interpret x-intercepts, the y-intercept, and key features in relation to the equation or the situation.
Using the diagram and information supplied, work with a small group to start identifying what mathematics is involved in this activity. You can search for images of fruit and vegetable garden beds for ideas of potential shapes you could work with. You will have up to 20 minutes to work as a group. Following this, will work individually to plan and explore the mathematical problems.
You will be given another 20 minutes to work individually and make your own plan using sketches and notes outlining the mathematical methods you intend to use.
Check with your kaiako that your plan will allow you to demonstrate your learning at the correct level.
In this activity you may need to use mathematical methods relating to the following:
- Volume of pyramids, cones, spheres, and composite shapes including prisms.
- Trigonometric ratios in right-angled triangles.
- Inverse percentage change, proportion (including scale diagrams), and more complex rates and ratios.
- Graph linear and quadratic functions and interpret x-intercepts, the y-intercept, and key features in relation to the equation or the situation.
Using the diagram and information supplied, work with a small group to start identifying what mathematics is involved in this activity. You can search for images of fruit and vegetable garden beds for ideas of potential shapes you could work with. You will have up to 20 minutes to work as a group. Following this, will work individually to plan and explore the mathematical problems.
You will be given another 20 minutes to work individually and make your own plan using sketches and notes outlining the mathematical methods you intend to use.
Check with your kaiako that your plan will allow you to demonstrate your learning at the correct level.
Student resources
Diagram 1 shows an example of a common garden bed used in designing community fruit and vegetable gardens. It includes a centrally located watering system.
The local community board, based on research about other gardens and readily available materials from local suppliers, have suggested the following should be used in the planning and design process:
- The garden should use approximately 12 metres of timber for the framing.
- Macrocarpa sleepers form the best timber framing and are available locally in two sizes:
- 200mm x 100mm by 2.1 m at a cost of $66.78 per 2.1m length (including GST)
- 200mm x 100mm by 4 m at a cost of $130 per 4m length (including GST)
- The preferred gardening mix costs $8.83 (including GST) per 40litre-bag.
- There will be a water tank in the centre of the garden which has a radius of 25cm and height of 1 metre for the bottom part and a diameter of 25cm and height of 27cm for the top part. The gardening mix will sit around the water tank.
The gardening mix will sit 5cm below the top edge of the garden.
Diagram 1 shows an example of a common garden bed used in designing community fruit and vegetable gardens. It includes a centrally located watering system.
The local community board, based on research about other gardens and readily available materials from local suppliers, have suggested the following should be used in the planning and design process:
- The garden should use approximately 12 metres of timber for the framing.
- Macrocarpa sleepers form the best timber framing and are available locally in two sizes:
- 200mm x 100mm by 2.1 m at a cost of $66.78 per 2.1m length (including GST)
- 200mm x 100mm by 4 m at a cost of $130 per 4m length (including GST)
- The preferred gardening mix costs $8.83 (including GST) per 40litre-bag.
- There will be a water tank in the centre of the garden which has a radius of 25cm and height of 1 metre for the bottom part and a diameter of 25cm and height of 27cm for the top part. The gardening mix will sit around the water tank.
The gardening mix will sit 5cm below the top edge of the garden.
[ Image Resource ]
- Caption: MS 1.2c Diagram 1 Common Garden Bed
- File URL: https://ncea-live-3-storagestack-53q-assetstorages3bucket-2o21xte0r81u.s3.amazonaws.com/s3fs-public/2023-10/MS12CD~1.PNG?VersionId=fhNpmuabMZ0hK4eXLUyM.cOUWV3h5g.4
- File Size: 168KB
- File Extension: png
- Description: Diagram 1 Common Garden Bed
Diagram 1 Common Garden Bed
What to do
Note to teacher: This internal assessment activity is an example that MUST be adapted before use, ensuring that all requirements of the Achievement Standard are still met. This textbox should be removed prior to sharing the activity with your students.
Note to teacher: This internal assessment activity is an example that MUST be adapted before use, ensuring that all requirements of the Achievement Standard are still met. This textbox should be removed prior to sharing the activity with your students.
A new fruit and vegetable garden is being built in your local community. You are the project planner for the construction of the garden.
As the project planner, you will be exploring how to maximise the size of a garden bed following a common design and calculating the costs of the project. You will also investigate other potential shapes for the garden bed. Once completed, your final garden bed design will then be replicated throughout the entire community garden project.
You will need to:
- find the dimensions of a common garden bed design that maximises the area that can enclosed
- use graphs or algebra to show that you have found the maximum area enclosed
- calculate the GST exclusive cost of one garden bed, including the timber and garden mix
- consider and explain other shapes which would use the same amount of timber that could improve on your current garden design, or any limitations of your design. You could also think about assumptions you have made and any generalisations or predictions that could be made.
A new fruit and vegetable garden is being built in your local community. You are the project planner for the construction of the garden.
As the project planner, you will be exploring how to maximise the size of a garden bed following a common design and calculating the costs of the project. You will also investigate other potential shapes for the garden bed. Once completed, your final garden bed design will then be replicated throughout the entire community garden project.
You will need to:
- find the dimensions of a common garden bed design that maximises the area that can enclosed
- use graphs or algebra to show that you have found the maximum area enclosed
- calculate the GST exclusive cost of one garden bed, including the timber and garden mix
- consider and explain other shapes which would use the same amount of timber that could improve on your current garden design, or any limitations of your design. You could also think about assumptions you have made and any generalisations or predictions that could be made.
How to present your learning
In solving this problem, you should:
- show calculations, as appropriate, that you have used in your exploration of the problem
- use correct mathematical statements
- explain what you are calculating at each stage of the solution
- describe how your mathematical working relates to the garden.
The quality of your mathematical reasoning and connections, and how well you link these to the context of the garden will determine your overall grade.
You may present your answer in any way that effectively communicates your working and conclusions. You must show all working including how you may have used technology.
In solving this problem, you should:
- show calculations, as appropriate, that you have used in your exploration of the problem
- use correct mathematical statements
- explain what you are calculating at each stage of the solution
- describe how your mathematical working relates to the garden.
The quality of your mathematical reasoning and connections, and how well you link these to the context of the garden will determine your overall grade.
You may present your answer in any way that effectively communicates your working and conclusions. You must show all working including how you may have used technology.
Timeframe
Your kaiako will inform you in advance of the date that the activity will be completed and the amount of in-class time to complete the activity (approximately three hours, including planning).
Your kaiako will inform you in advance of the date that the activity will be completed and the amount of in-class time to complete the activity (approximately three hours, including planning).
Getting started
In this activity you may need to use mathematical methods relating to the following:
- Volume of pyramids, cones, spheres, and composite shapes including prisms.
- Trigonometric ratios in right-angled triangles.
- Inverse percentage change, proportion (including scale diagrams), and more complex rates and ratios.
- Graph linear and quadratic functions and interpret x-intercepts, the y-intercept, and key features in relation to the equation or the situation.
Using the diagram and information supplied, work with a small group to start identifying what mathematics is involved in this activity. You can search for images of fruit and vegetable garden beds for ideas of potential shapes you could work with. You will have up to 20 minutes to work as a group. Following this, will work individually to plan and explore the mathematical problems.
You will be given another 20 minutes to work individually and make your own plan using sketches and notes outlining the mathematical methods you intend to use.
Check with your kaiako that your plan will allow you to demonstrate your learning at the correct level.
In this activity you may need to use mathematical methods relating to the following:
- Volume of pyramids, cones, spheres, and composite shapes including prisms.
- Trigonometric ratios in right-angled triangles.
- Inverse percentage change, proportion (including scale diagrams), and more complex rates and ratios.
- Graph linear and quadratic functions and interpret x-intercepts, the y-intercept, and key features in relation to the equation or the situation.
Using the diagram and information supplied, work with a small group to start identifying what mathematics is involved in this activity. You can search for images of fruit and vegetable garden beds for ideas of potential shapes you could work with. You will have up to 20 minutes to work as a group. Following this, will work individually to plan and explore the mathematical problems.
You will be given another 20 minutes to work individually and make your own plan using sketches and notes outlining the mathematical methods you intend to use.
Check with your kaiako that your plan will allow you to demonstrate your learning at the correct level.
Student resources
Diagram 1 shows an example of a common garden bed used in designing community fruit and vegetable gardens. It includes a centrally located watering system.
The local community board, based on research about other gardens and readily available materials from local suppliers, have suggested the following should be used in the planning and design process:
- The garden should use approximately 12 metres of timber for the framing.
- Macrocarpa sleepers form the best timber framing and are available locally in two sizes:
- 200mm x 100mm by 2.1 m at a cost of $66.78 per 2.1m length (including GST)
- 200mm x 100mm by 4 m at a cost of $130 per 4m length (including GST)
- The preferred gardening mix costs $8.83 (including GST) per 40litre-bag.
- There will be a water tank in the centre of the garden which has a radius of 25cm and height of 1 metre for the bottom part and a diameter of 25cm and height of 27cm for the top part. The gardening mix will sit around the water tank.
The gardening mix will sit 5cm below the top edge of the garden.
Diagram 1 shows an example of a common garden bed used in designing community fruit and vegetable gardens. It includes a centrally located watering system.
The local community board, based on research about other gardens and readily available materials from local suppliers, have suggested the following should be used in the planning and design process:
- The garden should use approximately 12 metres of timber for the framing.
- Macrocarpa sleepers form the best timber framing and are available locally in two sizes:
- 200mm x 100mm by 2.1 m at a cost of $66.78 per 2.1m length (including GST)
- 200mm x 100mm by 4 m at a cost of $130 per 4m length (including GST)
- The preferred gardening mix costs $8.83 (including GST) per 40litre-bag.
- There will be a water tank in the centre of the garden which has a radius of 25cm and height of 1 metre for the bottom part and a diameter of 25cm and height of 27cm for the top part. The gardening mix will sit around the water tank.
The gardening mix will sit 5cm below the top edge of the garden.
[ Image Resource ]
- Caption: MS 1.2c Diagram 1 Common Garden Bed
- File URL: https://ncea-live-3-storagestack-53q-assetstorages3bucket-2o21xte0r81u.s3.amazonaws.com/s3fs-public/2023-10/MS12CD~1.PNG?VersionId=fhNpmuabMZ0hK4eXLUyM.cOUWV3h5g.4
- File Size: 168KB
- File Extension: png
- Description: Diagram 1 Common Garden Bed
Diagram 1 Common Garden Bed