Introduction to 'Wild Robot'
'Wild Robot' tells the story of a robot named Roz who finds herself on a deserted island. Throughout the movie, Roz interacts with nature and learns about survival, which presents numerous opportunities to apply mathematical concepts found in the Stage 5 NSW curriculum.
Application of Mathematical Outcomes
MA5.2-1WM: Communicate Mathematical Ideas
In 'Wild Robot', Roz uses her observations of the environment to make calculations about food sources and shelter. For example, when she determines the amount of food needed to survive the winter, she might display these calculations using mathematical notations like equations or diagrams, demonstrating appropriate conventions in problem-solving.
MA5.2-2WM: Apply Strategies to Solve Problems
Throughout the movie, Roz faces challenges like finding food and protecting her home. These scenarios can parallel real-life situations where mathematical strategies are needed. Roz could weigh options about which resources to gather based on available time and energy, showcasing systematic approaches to problem solving.
MA5.2-3WM: Construct Arguments
Roz justifies her choices to help the animals adapt to their environment by explaining the impact of her actions. For instance, she may argue that her method of storing food leads to less wastage, supporting her argument with reasoning based on observed quantities and needs in the animal community.
MA5.2-4NA: Solve Financial Problems
If Roz were faced with decisions about resource allocation for survival, such as whether to save or use food items with future implications, this could connect to compound interest in terms of delayed gratification, showing growth of resources over time.
MA5.2-5NA: Proportion Problems
When Roz builds her shelter and calculates how many materials are needed in proportion to its size, this reflects direct proportion issues. For example, if she doubles the size of her shelter, she might also need to double the amount of materials.
MA5.2-6NA: Simplifying Algebraic Fractions
In a scenario where Roz needs to organize her gathering process efficiently, she could simplify fractions to determine the proportion of food collected versus the total needed, mirroring the algebraic fraction concepts from the curriculum.
MA5.2-7NA: Apply Index Laws
Roz might need to deal with exponential growth of certain plant species when calculating how quickly they can reproduce on the island. Showing this process could connect to applying index laws when determining how many plants will be available after several cycles.
MA5.2-8NA: Solve Equations
If Roz encounters different challenges requiring her to balance resources (like the amount of food left versus what she needs), it could lead her to set up and solve linear equations to find a solution.
MA5.2-9NA: Gradient-Intercept Form
When plotting the success of gathering food versus time, Roz could create a graph to visualize how quickly she is able to gather food with her time management skills represented in gradient-intercept form.
MA5.2-10NA: Connect Algebra and Graphs
As Roz learns from her experiences, she can develop a graph that interrelates the amount of resources found versus time spent searching, illustrating a non-linear relationship through her journey.
MA5.2-11MG: Calculate Surface Areas
When creating a shelter, Roz would need to calculate the surface area to ensure she collects enough materials to cover it adequately, applying her understanding of geometry.
MA5.2-12MG: Calculate Volumes
If Roz considers how much water she needs to store, she would apply volume formulas for containers made from natural materials she finds, thus learning to solve problems related to composite solids.
MA5.2-13MG: Trigonometry
In navigating through different territories on the island, Roz could measure angles and distances, using trigonometry to find the best routes.
MA5.2-14MG: Angle Sum of Polygons
Using structures made of natural materials, Roz might have to calculate optimal angles for stability, applying her knowledge of polygon angle sums to ensure her constructions are sound.
MA5.2-15SP: Compare Data
If she tracks her food supply over time, Roz can utilize box plots and quartiles to evaluate her data, learning the importance of data analysis.
MA5.2-16SP: Investigate Relationships
As she documents changes in her environment, Roz can analyze relationships between variables such as seasons and food availability over time.
MA5.2-17SP: Probability
When foraging for food, Roz can evaluate the probabilities of different outcomes based on her choices, thus enhancing her decision-making skills through mathematics.
Conclusion
By analyzing 'Wild Robot', students can see how essential mathematical concepts weave through real-life scenarios, enhancing their understanding of Stage 5 NSW curriculum outcomes while engaging with storytelling and problem-solving, making math both relevant and exciting.