WS01 - Mathematics assignment
Mathematics, Year 10
- Whirlybird assignment
Annotations
1. Describes the planning and approach taken to complete the first task.
2. Uses a variety of approaches and interrogates their solutions to rigorously verify that their solutions were reasonable.
3. Chooses appropriate methods and approximations for the situation, choosing to hold some variables constant.
4. Identifies the variables that changed during the trials.
5. Collects and records measurement data in a table and uses the tabulated data to determine total and mean flight times.
6. Represents the data in a comparative graph.
7. Interprets data and draws reasonable conclusions.
8. Creates a column graph to represent the mean flight times using digital tools.
9. Constructs a scatter graph to represent the data.
10. Recognises the appropriate function to model the relationship and constructs a curve of best fit for the data, using appropriate digital tools.
11. Finds the equation of the quadratic function, using appropriate digital tools.
12. Uses the equation of the function to find the coordinates of the turning point and relates this to the context of the problem.
13. Interprets the solution to the problem in terms of the situation.
14. Investigates systematically the relationship between two variables.
15. Continues to investigate systematically the relationship between two variables.
16. Uses tables to represent the relationship between the minimum and maximum number of tangents and the number of regions.
17. Describes the investigation that took place as part of the modelling process.
18. Recognises the generalised pattern as being a different representation of triangular numbers.
19. Uses appropriate graphing software to plot the coordinates and determines the function from the table of values.
20. Finds a quadratic equation to describe the relationship between the tangents and regions.
21. Applies the quadratic formula to determine the roots of the equation.
22. Recognises the negative solution is not proprietorial for the context.
23. Substitutes the answer back into the equation to check if it is correct.
24. Validates the solution by referring to the table of values.