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.
Children in your local area love playing in a nearby field, but there is no equipment for them to play on. If this field is converted into a playground the space can be better used by everyone. You have been asked to provide guidance on some of the design and safety features of the playground and to calculate the total cost of some of the materials.
You will need to:
- plan your own feature to be included in the final design — this feature must use treated pine logs
- calculate costs associated with the amount of pine and paint used, excluding GST
- calculate costs associated with the amount of bark used, excluding GST
- comment on whether the proposed seesaw is safe
- clearly show your working for your calculations on cost, including any assumptions you have made, limitations of the situation, or generalisations or predictions that can be made.
- explain the placement of the equipment and coverage of the field, and why you recommend this.
Children in your local area love playing in a nearby field, but there is no equipment for them to play on. If this field is converted into a playground the space can be better used by everyone. You have been asked to provide guidance on some of the design and safety features of the playground and to calculate the total cost of some of the materials.
You will need to:
- plan your own feature to be included in the final design — this feature must use treated pine logs
- calculate costs associated with the amount of pine and paint used, excluding GST
- calculate costs associated with the amount of bark used, excluding GST
- comment on whether the proposed seesaw is safe
- clearly show your working for your calculations on cost, including any assumptions you have made, limitations of the situation, or generalisations or predictions that can be made.
- explain the placement of the equipment and coverage of the field, and why you recommend this.
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 playground.
The quality of your mathematical reasoning and connections, and how well you link these to the context of the playground 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 playground.
The quality of your mathematical reasoning and connections, and how well you link these to the context of the playground 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 teacher 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 two hours).
Your teacher 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 two hours).
Getting started
Look at the diagrams before starting work on the problem, and refer to the student resources section for information that you will need in order to begin your thinking.
You will have (insert time frame) to work with a group to start identifying the mathematics needed in the activity. Following this, you will work individually to plan and explore the problems.
You will be given another (insert time frame) to work individually to make your own plan using sketches and notes that outline the mathematical processes you intend to use.
Check with your kaiako that your plan will allow you to demonstrate your learning at the correct level.
Look at the diagrams before starting work on the problem, and refer to the student resources section for information that you will need in order to begin your thinking.
You will have (insert time frame) to work with a group to start identifying the mathematics needed in the activity. Following this, you will work individually to plan and explore the problems.
You will be given another (insert time frame) to work individually to make your own plan using sketches and notes that outline the mathematical processes 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 is of the proposed playground design.
Diagram 2 provides important detail on the slide.
Diagram 3 provides important detail on the rectangular barrier.
The rectangular barrier:
- has a depth of 15 cm
- treated pine logs form the barrier
- the playground inside the rectangular barrier will be filled in with bark.
The seesaw:
- uses the 25 cm diameter pine logs for the main beam
- main beam is 2.8 m in length
- highest point is 1 m above the ground
- for safety, the angle that the seesaw makes with the ground at the lowest point must be no more than 21°.
The slide:
- uses four logs as pillars for a platform on which will sit an existing play house — the slide is attached to this platform
- uses the 35cm diameter pine logs
- is 2.65m long and the highest point is 1.5m above the bark floor.
Your feature:
- uses a combination of the pine (25cm and 35cm)
- has at least three mathematical calculations associated with the feature.
Pine:
- 25cm diameter — $35 per metre, including GST.
- 35cm diameter — $42 per metre, including GST.
Bark:
- Bark nuggets 40 L bag — $8.90, including GST.
Paint:
- 1 L of paint covers 16 m2.
- Cost per litre of paint is $49.90, including GST.
Diagram 1 is of the proposed playground design.
Diagram 2 provides important detail on the slide.
Diagram 3 provides important detail on the rectangular barrier.
The rectangular barrier:
- has a depth of 15 cm
- treated pine logs form the barrier
- the playground inside the rectangular barrier will be filled in with bark.
The seesaw:
- uses the 25 cm diameter pine logs for the main beam
- main beam is 2.8 m in length
- highest point is 1 m above the ground
- for safety, the angle that the seesaw makes with the ground at the lowest point must be no more than 21°.
The slide:
- uses four logs as pillars for a platform on which will sit an existing play house — the slide is attached to this platform
- uses the 35cm diameter pine logs
- is 2.65m long and the highest point is 1.5m above the bark floor.
Your feature:
- uses a combination of the pine (25cm and 35cm)
- has at least three mathematical calculations associated with the feature.
Pine:
- 25cm diameter — $35 per metre, including GST.
- 35cm diameter — $42 per metre, including GST.
Bark:
- Bark nuggets 40 L bag — $8.90, including GST.
Paint:
- 1 L of paint covers 16 m2.
- Cost per litre of paint is $49.90, including GST.
[ Image Resource ]
- Caption: Diagram 1
- File URL: https://ncea-live-3-storagestack-53q-assetstorages3bucket-2o21xte0r81u.s3.amazonaws.com/s3fs-public/2021-11/MS%20Diagram%201%20Playground.png?VersionId=_kN9PYHfXTIN6JosrPjnxfWhIZe6Gokz
- File Size: 14KB
- File Extension: png
- Description: Diagram of the playground design
Diagram of the playground design
[ Image Resource ]
- Caption: Diagram 2
- File URL: https://ncea-live-3-storagestack-53q-assetstorages3bucket-2o21xte0r81u.s3.amazonaws.com/s3fs-public/2021-11/MS%20Diagram%202%20Support%20poles.png?VersionId=uqbimvSwMXJzW7h7TYswFi9IGeRcIB0F
- File Size: 13KB
- File Extension: png
- Description: Diagram of the slide support pole details
Diagram of the slide support pole details
[ Image Resource ]
- Caption: Diagram 3
- File URL: https://ncea-live-3-storagestack-53q-assetstorages3bucket-2o21xte0r81u.s3.amazonaws.com/s3fs-public/2021-11/MS%20Diagram%203%20Playground%20outline.png?VersionId=hik9Xi_A0v7xkhQ6i4emjRU_lPcxWdbM
- File Size: 4KB
- File Extension: png
- Description: Diagram of the playground barrier
Diagram of the playground barrier
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.
Children in your local area love playing in a nearby field, but there is no equipment for them to play on. If this field is converted into a playground the space can be better used by everyone. You have been asked to provide guidance on some of the design and safety features of the playground and to calculate the total cost of some of the materials.
You will need to:
- plan your own feature to be included in the final design — this feature must use treated pine logs
- calculate costs associated with the amount of pine and paint used, excluding GST
- calculate costs associated with the amount of bark used, excluding GST
- comment on whether the proposed seesaw is safe
- clearly show your working for your calculations on cost, including any assumptions you have made, limitations of the situation, or generalisations or predictions that can be made.
- explain the placement of the equipment and coverage of the field, and why you recommend this.
Children in your local area love playing in a nearby field, but there is no equipment for them to play on. If this field is converted into a playground the space can be better used by everyone. You have been asked to provide guidance on some of the design and safety features of the playground and to calculate the total cost of some of the materials.
You will need to:
- plan your own feature to be included in the final design — this feature must use treated pine logs
- calculate costs associated with the amount of pine and paint used, excluding GST
- calculate costs associated with the amount of bark used, excluding GST
- comment on whether the proposed seesaw is safe
- clearly show your working for your calculations on cost, including any assumptions you have made, limitations of the situation, or generalisations or predictions that can be made.
- explain the placement of the equipment and coverage of the field, and why you recommend this.
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 playground.
The quality of your mathematical reasoning and connections, and how well you link these to the context of the playground 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 playground.
The quality of your mathematical reasoning and connections, and how well you link these to the context of the playground 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 teacher 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 two hours).
Your teacher 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 two hours).
Getting started
Look at the diagrams before starting work on the problem, and refer to the student resources section for information that you will need in order to begin your thinking.
You will have (insert time frame) to work with a group to start identifying the mathematics needed in the activity. Following this, you will work individually to plan and explore the problems.
You will be given another (insert time frame) to work individually to make your own plan using sketches and notes that outline the mathematical processes you intend to use.
Check with your kaiako that your plan will allow you to demonstrate your learning at the correct level.
Look at the diagrams before starting work on the problem, and refer to the student resources section for information that you will need in order to begin your thinking.
You will have (insert time frame) to work with a group to start identifying the mathematics needed in the activity. Following this, you will work individually to plan and explore the problems.
You will be given another (insert time frame) to work individually to make your own plan using sketches and notes that outline the mathematical processes 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 is of the proposed playground design.
Diagram 2 provides important detail on the slide.
Diagram 3 provides important detail on the rectangular barrier.
The rectangular barrier:
- has a depth of 15 cm
- treated pine logs form the barrier
- the playground inside the rectangular barrier will be filled in with bark.
The seesaw:
- uses the 25 cm diameter pine logs for the main beam
- main beam is 2.8 m in length
- highest point is 1 m above the ground
- for safety, the angle that the seesaw makes with the ground at the lowest point must be no more than 21°.
The slide:
- uses four logs as pillars for a platform on which will sit an existing play house — the slide is attached to this platform
- uses the 35cm diameter pine logs
- is 2.65m long and the highest point is 1.5m above the bark floor.
Your feature:
- uses a combination of the pine (25cm and 35cm)
- has at least three mathematical calculations associated with the feature.
Pine:
- 25cm diameter — $35 per metre, including GST.
- 35cm diameter — $42 per metre, including GST.
Bark:
- Bark nuggets 40 L bag — $8.90, including GST.
Paint:
- 1 L of paint covers 16 m2.
- Cost per litre of paint is $49.90, including GST.
Diagram 1 is of the proposed playground design.
Diagram 2 provides important detail on the slide.
Diagram 3 provides important detail on the rectangular barrier.
The rectangular barrier:
- has a depth of 15 cm
- treated pine logs form the barrier
- the playground inside the rectangular barrier will be filled in with bark.
The seesaw:
- uses the 25 cm diameter pine logs for the main beam
- main beam is 2.8 m in length
- highest point is 1 m above the ground
- for safety, the angle that the seesaw makes with the ground at the lowest point must be no more than 21°.
The slide:
- uses four logs as pillars for a platform on which will sit an existing play house — the slide is attached to this platform
- uses the 35cm diameter pine logs
- is 2.65m long and the highest point is 1.5m above the bark floor.
Your feature:
- uses a combination of the pine (25cm and 35cm)
- has at least three mathematical calculations associated with the feature.
Pine:
- 25cm diameter — $35 per metre, including GST.
- 35cm diameter — $42 per metre, including GST.
Bark:
- Bark nuggets 40 L bag — $8.90, including GST.
Paint:
- 1 L of paint covers 16 m2.
- Cost per litre of paint is $49.90, including GST.
[ Image Resource ]
- Caption: Diagram 1
- File URL: https://ncea-live-3-storagestack-53q-assetstorages3bucket-2o21xte0r81u.s3.amazonaws.com/s3fs-public/2021-11/MS%20Diagram%201%20Playground.png?VersionId=_kN9PYHfXTIN6JosrPjnxfWhIZe6Gokz
- File Size: 14KB
- File Extension: png
- Description: Diagram of the playground design
Diagram of the playground design
[ Image Resource ]
- Caption: Diagram 2
- File URL: https://ncea-live-3-storagestack-53q-assetstorages3bucket-2o21xte0r81u.s3.amazonaws.com/s3fs-public/2021-11/MS%20Diagram%202%20Support%20poles.png?VersionId=uqbimvSwMXJzW7h7TYswFi9IGeRcIB0F
- File Size: 13KB
- File Extension: png
- Description: Diagram of the slide support pole details
Diagram of the slide support pole details
[ Image Resource ]
- Caption: Diagram 3
- File URL: https://ncea-live-3-storagestack-53q-assetstorages3bucket-2o21xte0r81u.s3.amazonaws.com/s3fs-public/2021-11/MS%20Diagram%203%20Playground%20outline.png?VersionId=hik9Xi_A0v7xkhQ6i4emjRU_lPcxWdbM
- File Size: 4KB
- File Extension: png
- Description: Diagram of the playground barrier
Diagram of the playground barrier