What to do
Note to teacher: This Internal Assessment Activity may be used unchanged, or can be adapted by the teacher, 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 may be used unchanged, or can be adapted by the teacher, ensuring that all requirements of the Achievement Standard are still met. This textbox should be removed prior to sharing the activity with your students.
Playing games is a good way to learn about probability and statistical investigations. Knowing your chances of winning can help you develop a strategy to improve the way you play. You will work through a statistical enquiry process, based on a game, as your assessment.
Step 1: Exploring a purpose
After exploring the game, brainstorm to explore the purpose of the investigation. This could be done individually or in groups.
As part of the brainstorming process, you should identify the purpose of your investigation and consider the benefits of any enquiry process you complete.
- What might you expect to find in your investigation?
- How useful will the findings be and how widely could they be applied?
Once you have chosen an aspect to investigate, decide on the specific experimental probability investigation you would like to complete for this Assessment Activity. Your kaiako will look at your chosen investigation and check for appropriate wording or provide you with a formal investigative question or statement that you will use in steps 2-4.
Step 2: Planning the investigation
Describe the rules for how the game will be played and how data will be collected and recorded. This may include identifying and explaining different sources of variation that need to be controlled and explaining the effect of controlling the variation.
Present your plan to your kaiako for feedback. Your kaiako will help to define your population.
Step 3: Collecting data
Collect appropriate data for your investigation.
Clean your data and prepare it for analysis.
Step 4: Exploring, analysing, and forming conclusions about the data
Using applications such as NZGrapher, iNZight, or CODAP, or a non-digital method, select and use appropriate visualisations and measures.
What do you notice as you explore the visualisations and measures? Link your comments about features to the context of your investigation.
Now that you have explored the data, explain what you have learned that is relevant to the purpose of your enquiry.
Make generalisations using your data, discuss sampling variability, and reflect on the enquiry process. Remember to always link back to the investigation purpose.
Playing games is a good way to learn about probability and statistical investigations. Knowing your chances of winning can help you develop a strategy to improve the way you play. You will work through a statistical enquiry process, based on a game, as your assessment.
Step 1: Exploring a purpose
After exploring the game, brainstorm to explore the purpose of the investigation. This could be done individually or in groups.
As part of the brainstorming process, you should identify the purpose of your investigation and consider the benefits of any enquiry process you complete.
- What might you expect to find in your investigation?
- How useful will the findings be and how widely could they be applied?
Once you have chosen an aspect to investigate, decide on the specific experimental probability investigation you would like to complete for this Assessment Activity. Your kaiako will look at your chosen investigation and check for appropriate wording or provide you with a formal investigative question or statement that you will use in steps 2-4.
Step 2: Planning the investigation
Describe the rules for how the game will be played and how data will be collected and recorded. This may include identifying and explaining different sources of variation that need to be controlled and explaining the effect of controlling the variation.
Present your plan to your kaiako for feedback. Your kaiako will help to define your population.
Step 3: Collecting data
Collect appropriate data for your investigation.
Clean your data and prepare it for analysis.
Step 4: Exploring, analysing, and forming conclusions about the data
Using applications such as NZGrapher, iNZight, or CODAP, or a non-digital method, select and use appropriate visualisations and measures.
What do you notice as you explore the visualisations and measures? Link your comments about features to the context of your investigation.
Now that you have explored the data, explain what you have learned that is relevant to the purpose of your enquiry.
Make generalisations using your data, discuss sampling variability, and reflect on the enquiry process. Remember to always link back to the investigation purpose.
How to present your learning
You may collect your data independently or in groups. You are then to complete the rest of the Assessment Activity individually, using one, or a combination of the following options:
- Digital presentation — six to eight slides maximum.
- Written report — up to 800 words maximum.
- Video recording — up to four minutes maximum.
- Poster — up to 800 words maximum.
You may collect your data independently or in groups. You are then to complete the rest of the Assessment Activity individually, using one, or a combination of the following options:
- Digital presentation — six to eight slides maximum.
- Written report — up to 800 words maximum.
- Video recording — up to four minutes maximum.
- Poster — up to 800 words maximum.
Timeframe
Your kaiako will provide details of the time you have, the checkpoints, and the submission date and time for the final report, poster, video, or presentation.
Checkpoints will occur at several stages and the dates will be provided. Your kaiako will check your progress on:
Step 1: Exploring a purpose
Step 2: Planning the investigation
Step 3: Collecting data
Step 4: Exploring, analysing, and forming conclusions about the data.
Your kaiako will provide details of the time you have, the checkpoints, and the submission date and time for the final report, poster, video, or presentation.
Checkpoints will occur at several stages and the dates will be provided. Your kaiako will check your progress on:
Step 1: Exploring a purpose
Step 2: Planning the investigation
Step 3: Collecting data
Step 4: Exploring, analysing, and forming conclusions about the data.
Getting started
Use the student resource below to understand the game Tākaro-ā-ringa Pūkana. Play a few rounds of the game, varying the size of groups of players and note down what is happening. Once you have had an introductory look at the game, work in a pair, as a group, or together with your class to brainstorm the elements of chance that could occur in the game.
Use the student resource below to understand the game Tākaro-ā-ringa Pūkana. Play a few rounds of the game, varying the size of groups of players and note down what is happening. Once you have had an introductory look at the game, work in a pair, as a group, or together with your class to brainstorm the elements of chance that could occur in the game.
Student resources
[ File Resource ]
- Title: MS 1.1a Resource Sheet
- Description: Mathematics and Statistics 1.1a Resource Sheet
- File URL: https://ncea-live-3-storagestack-53q-assetstorages3bucket-2o21xte0r81u.s3.amazonaws.com/s3fs-public/2024-03/MS%201.1a%20Resource%20Sheet.pdf?VersionId=GSSHe77JYPaLcitAlKErIXbLWTrU2pFX
- File Extension: pdf
- File Size: 94KB
- MS 1.1a Resource Sheet.pdf
- Description: Mathematics and Statistics 1.1a Resource Sheet
MS 1.1a Resource Sheet
What to do
Note to teacher: This Internal Assessment Activity may be used unchanged, or can be adapted by the teacher, 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 may be used unchanged, or can be adapted by the teacher, ensuring that all requirements of the Achievement Standard are still met. This textbox should be removed prior to sharing the activity with your students.
Playing games is a good way to learn about probability and statistical investigations. Knowing your chances of winning can help you develop a strategy to improve the way you play. You will work through a statistical enquiry process, based on a game, as your assessment.
Step 1: Exploring a purpose
After exploring the game, brainstorm to explore the purpose of the investigation. This could be done individually or in groups.
As part of the brainstorming process, you should identify the purpose of your investigation and consider the benefits of any enquiry process you complete.
- What might you expect to find in your investigation?
- How useful will the findings be and how widely could they be applied?
Once you have chosen an aspect to investigate, decide on the specific experimental probability investigation you would like to complete for this Assessment Activity. Your kaiako will look at your chosen investigation and check for appropriate wording or provide you with a formal investigative question or statement that you will use in steps 2-4.
Step 2: Planning the investigation
Describe the rules for how the game will be played and how data will be collected and recorded. This may include identifying and explaining different sources of variation that need to be controlled and explaining the effect of controlling the variation.
Present your plan to your kaiako for feedback. Your kaiako will help to define your population.
Step 3: Collecting data
Collect appropriate data for your investigation.
Clean your data and prepare it for analysis.
Step 4: Exploring, analysing, and forming conclusions about the data
Using applications such as NZGrapher, iNZight, or CODAP, or a non-digital method, select and use appropriate visualisations and measures.
What do you notice as you explore the visualisations and measures? Link your comments about features to the context of your investigation.
Now that you have explored the data, explain what you have learned that is relevant to the purpose of your enquiry.
Make generalisations using your data, discuss sampling variability, and reflect on the enquiry process. Remember to always link back to the investigation purpose.
Playing games is a good way to learn about probability and statistical investigations. Knowing your chances of winning can help you develop a strategy to improve the way you play. You will work through a statistical enquiry process, based on a game, as your assessment.
Step 1: Exploring a purpose
After exploring the game, brainstorm to explore the purpose of the investigation. This could be done individually or in groups.
As part of the brainstorming process, you should identify the purpose of your investigation and consider the benefits of any enquiry process you complete.
- What might you expect to find in your investigation?
- How useful will the findings be and how widely could they be applied?
Once you have chosen an aspect to investigate, decide on the specific experimental probability investigation you would like to complete for this Assessment Activity. Your kaiako will look at your chosen investigation and check for appropriate wording or provide you with a formal investigative question or statement that you will use in steps 2-4.
Step 2: Planning the investigation
Describe the rules for how the game will be played and how data will be collected and recorded. This may include identifying and explaining different sources of variation that need to be controlled and explaining the effect of controlling the variation.
Present your plan to your kaiako for feedback. Your kaiako will help to define your population.
Step 3: Collecting data
Collect appropriate data for your investigation.
Clean your data and prepare it for analysis.
Step 4: Exploring, analysing, and forming conclusions about the data
Using applications such as NZGrapher, iNZight, or CODAP, or a non-digital method, select and use appropriate visualisations and measures.
What do you notice as you explore the visualisations and measures? Link your comments about features to the context of your investigation.
Now that you have explored the data, explain what you have learned that is relevant to the purpose of your enquiry.
Make generalisations using your data, discuss sampling variability, and reflect on the enquiry process. Remember to always link back to the investigation purpose.
How to present your learning
You may collect your data independently or in groups. You are then to complete the rest of the Assessment Activity individually, using one, or a combination of the following options:
- Digital presentation — six to eight slides maximum.
- Written report — up to 800 words maximum.
- Video recording — up to four minutes maximum.
- Poster — up to 800 words maximum.
You may collect your data independently or in groups. You are then to complete the rest of the Assessment Activity individually, using one, or a combination of the following options:
- Digital presentation — six to eight slides maximum.
- Written report — up to 800 words maximum.
- Video recording — up to four minutes maximum.
- Poster — up to 800 words maximum.
Timeframe
Your kaiako will provide details of the time you have, the checkpoints, and the submission date and time for the final report, poster, video, or presentation.
Checkpoints will occur at several stages and the dates will be provided. Your kaiako will check your progress on:
Step 1: Exploring a purpose
Step 2: Planning the investigation
Step 3: Collecting data
Step 4: Exploring, analysing, and forming conclusions about the data.
Your kaiako will provide details of the time you have, the checkpoints, and the submission date and time for the final report, poster, video, or presentation.
Checkpoints will occur at several stages and the dates will be provided. Your kaiako will check your progress on:
Step 1: Exploring a purpose
Step 2: Planning the investigation
Step 3: Collecting data
Step 4: Exploring, analysing, and forming conclusions about the data.
Getting started
Use the student resource below to understand the game Tākaro-ā-ringa Pūkana. Play a few rounds of the game, varying the size of groups of players and note down what is happening. Once you have had an introductory look at the game, work in a pair, as a group, or together with your class to brainstorm the elements of chance that could occur in the game.
Use the student resource below to understand the game Tākaro-ā-ringa Pūkana. Play a few rounds of the game, varying the size of groups of players and note down what is happening. Once you have had an introductory look at the game, work in a pair, as a group, or together with your class to brainstorm the elements of chance that could occur in the game.
Student resources
[ File Resource ]
- Title: MS 1.1a Resource Sheet
- Description: Mathematics and Statistics 1.1a Resource Sheet
- File URL: https://ncea-live-3-storagestack-53q-assetstorages3bucket-2o21xte0r81u.s3.amazonaws.com/s3fs-public/2024-03/MS%201.1a%20Resource%20Sheet.pdf?VersionId=GSSHe77JYPaLcitAlKErIXbLWTrU2pFX
- File Extension: pdf
- File Size: 94KB
- MS 1.1a Resource Sheet.pdf
- Description: Mathematics and Statistics 1.1a Resource Sheet