Taught from Year 9, solving quadratics by factoring, completing the square, and using the quadratic formula. Graphs of quadratic functions focus on the vertex and axis of symmetry, allowing students to visualise and interpret key features of these functions.
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Tutero’s quadratics lesson plans include practice questions from simple quadratic equations to complex applications like projectile motion. These exercises prepare students for real-life applications and further studies in physics and mathematics.
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In lessons on quadratics, Tutero teaches students to understand and solve quadratic equations. Students learn different methods such as factoring, completing the square, and using the quadratic formula. The curriculum emphasises the graphical representation of quadratic functions, helping students link algebraic solutions with geometric interpretations.
The quadratics lesson plan features enabling prompts to assist students with the basics of quadratic expressions, alongside extending prompts for those prepared to solve quadratic equations using various methods such as factoring, completing the square, and the quadratic formula. These prompts ensure that students can effectively manipulate and solve quadratic problems.
Tutero’s quadratics lesson plans include practice questions from simple quadratic equations to complex applications like projectile motion. These exercises prepare students for real-life applications and further studies in physics and mathematics.
Tutero’s quadratics exercise sheets delve into quadratic equations and their applications, such as calculating projectile trajectories or optimising business profits. Through these real-world applications, students see the importance of quadratics in solving practical problems involving motion, economics, and optimisation.
The quadratics lesson plan features enabling prompts to assist students with the basics of quadratic expressions, alongside extending prompts for those prepared to solve quadratic equations using various methods such as factoring, completing the square, and the quadratic formula. These prompts ensure that students can effectively manipulate and solve quadratic problems.
- You in approximately four minutes
Understanding Quadratic Equations
Initially, students learn the standard form of a quadratic equation and methods to solve it, such as factoring, completing the square, and using the quadratic formula. They apply these methods to find roots of quadratic equations. By Year 5, students explore the applications of quadratics in physics, architecture, and economics, understanding their curves and how they model real-world situations.
Solving Quadratic Equations
Students start with simple quadratic equations, using methods like factoring and completing the square. They progress to more sophisticated techniques such as the quadratic formula. By Year 5, they solve quadratic equations in complex scenarios, including projectile motion and optimisation problems in business and science.
Graphing Quadratic Equations
Initially, students graph quadratic equations by finding the vertex and plotting points. They explore how changes in the equation affect the graph's shape and position. By Year 5, students use graphing to solve quadratic equations and understand their applications in projectile motion, optics, and market analysis.
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- You in approximately four minutes
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