Tutero Resources

Polynomials Lesson Plans

Name: Tutero
Brand: Tutero
Rating: 4.8 (78 reviews)

Starting in Year 9 with simple expressions, expanding to polynomial algebra by Year 10. Students explore operations, graphs, and real-world applications, which helps them see the relevance of algebra in everyday situations and various fields of study.

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Polynomials

Loved by Teachers in Australia

100,000+ Lessons Delivered

v9.0 of the Australian curriculum

Used in Every State Across Australia

Loved by Teachers in Australia

100,000+ Lessons Delivered

v9.0 of the Australian curriculum

Used in Every State Across Australia

What’s included in Tutero's %%polynomials%% lesson plans?

🔥Warm Up Questions

Tutero’s polynomials curriculum includes practice questions covering identification, operation, and graphing of polynomial functions. Exercises progress from basic addition and subtraction to division of polynomials, preparing students for calculus and other advanced mathematical courses.

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🌍 Real-Life Application

In Tutero’s lessons on polynomials, students explore the properties and operations of polynomial expressions. They learn to add, subtract, multiply, and divide polynomials, as well as factor and graph them. The curriculum emphasises the role of polynomials in modelling real-world situations and solving complex algebraic problems.

💡Notes & Explanation

This lesson plan on polynomials features enabling prompts to help students understand the structure and operations of polynomials, alongside extending prompts for those ready to solve polynomial equations and apply polynomial functions in various mathematical contexts. These prompts foster a comprehensive grasp of polynomial algebra.

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Practice Questions

Engaging Exercises

Tutero’s polynomials exercise sheets delve into operations involving polynomials, applying these in constructing geometrical shapes, planning trajectories in sports, or modeling economic data. Students learn to manipulate polynomial expressions practically, seeing their relevance in diverse fields like engineering, economics, and physics.

Differentiated Questions

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What is covered in a lesson plan on polynomials?

Introduction to Polynomials

Initially, students learn about polynomials as expressions composed of variables and coefficients. They explore the basic operations on polynomials—addition, subtraction, multiplication, and division. By Year 5, students understand the structure of polynomial equations, solve them, and apply their knowledge to construct graphs, analyse polynomial functions, and solve practical problems.

Operations with Polynomials

Students begin with basic operations on polynomials, including addition, subtraction, and multiplication. They learn to apply the distributive property and combine like terms. By Year 5, they perform complex operations such as long division and synthetic division of polynomials, using these operations to solve problems in algebraic geometry and optimisation.

Graphing Polynomials

Students learn to graph polynomial functions by identifying their roots, turning points, and end behavior. They apply these skills to model and analyse practical situations such as projectile trajectories, economics (cost and revenue functions), and physical sciences. By Year 5, they use polynomial graphs to solve real-world optimisation problems and understand complex systems dynamics.

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Create a Lesson Plan for Polynomials

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🔥Warm Up Questions

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🌍 Real-Life Application