IBMYP Investigation task-Quadratic Graphs

Objective: To explore the relationship between quadratic equations and the trajectory of a football kick, allowing students to construct and interpret data, analyze the graph’s features, and reflect on how mathematical models represent real-world motion in sports.

Real-Life Context: During a football match, a player kicks the ball toward the goal in a high arc. The path of the ball can be represented using a quadratic equation. Your task is to calculate values, plot the trajectory of the ball, and reflect on the graph.

Task 1: The Create a Table of Values
Task 2: Plot the points
Task 3: Analyze the Graph
Task 4: Reflections

Key concepts: Patterns
In this task, the relationship between the distance traveled and the height of the football is represented by a quadratic equation, helping students understand how changing one variable influences the other…

Related Concept: Representation
Students identify the pattern in the trajectory of the football’s path, recognizing the symmetry of the quadratic graph and its properties.

Related Concept:Model
Students represent the football’s trajectory using a quadratic equation, a table of values, and a graph to visualize the relationship between distance and height.

Global Context: Scientific & Technical Innovation
In this task, Students explores how objects and phenomena are situated and move within physical space and time. The trajectory of the football represents an example of motion within space, and the model helps students understand how mathematical concepts apply to real-world phenomena over time.

Statement of Inquiry: The parabolic trajectory of a football kick demonstrates how mathematical relationships and patterns can be used to represent and predict motion in physical space and time.