Introduced in Year 9, mapping inputs to outputs, understanding domain and range, and exploring different function types (linear, quadratic, etc.). Students learn to analyse and interpret various types of functions and their applications.
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Functions and relations are covered extensively in Tutero’s curriculum, with exercises teaching students to analyse and graph various functions while understanding practical applications in science and technology.
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Tutero’s curriculum covers functions and relations, teaching students to understand the difference between the two and how to represent them graphically and algebraically. Students learn about domain, range, and different types of functions, gaining a comprehensive understanding of how functions model relationships between variables.
The functions and relations lesson plan includes enabling prompts to aid students in understanding the basics of functions and how they express relationships between variables, complemented by extending prompts for those prepared to explore more complex functions and their applications in mapping and modeling. This approach fosters a deep understanding of mathematical relationships.
Functions and relations are covered extensively in Tutero’s curriculum, with exercises teaching students to analyse and graph various functions while understanding practical applications in science and technology.
Tutero’s functions and relations exercise sheets guide students through understanding and applying functions and relations in contexts such as computer programming, physics experiments, or business process modeling. These mathematical tools are crucial for describing and managing dependencies in various scientific and practical applications.
The functions and relations lesson plan includes enabling prompts to aid students in understanding the basics of functions and how they express relationships between variables, complemented by extending prompts for those prepared to explore more complex functions and their applications in mapping and modeling. This approach fosters a deep understanding of mathematical relationships.
- You in approximately four minutes
Introduction to Functions
Students are introduced to the concept of functions as relationships between sets of numbers where each input has a single output. They explore simple linear and quadratic functions and learn to graph them. By Year 5, they study more diverse types of functions, including exponential and logarithmic functions, and use functions to model real-world phenomena.
Exploring Types of Functions
Students are introduced to different types of functions such as linear, quadratic, polynomial, exponential, and trigonometric. They explore the unique characteristics and graphs of each type. By Year 5, students analyse and compare different functions, understanding their applications in modeling real-world behaviors and phenomena.
Understanding Relations
Students explore the concept of relations by mapping inputs to outputs in functions and non-functions. They apply understanding of relations to contexts like database management, programming, and mapping relationships in social and natural sciences. By Year 5, they analyse and create complex models of relations, using them in advanced computational algorithms and data structure optimisation.
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