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Exercises requiring expressions to be re-written in 'Simple Radical Form'.

By the end of this unit you will be able to:

• Solve equations with a single variable which are called linear equations
• Solve equations with a single variable that is squared (quadratic equations) by factorisation.

By the end of this unit you will be able to:

• Solve a quadratic equation by completing the square.

By the end of this unit you will be able to:

• Apply the zero-product law.
• Solve rational quadratic equations which have fractions with the unknown in the denominator.
• Factorise quadratic expressions to solve for the unknown variable.

There are a few different ways to solve quadratics: factorising, using the quadratic formula or by completing the square. In this video we look at solving by factorising.

• Describe a molecular model for solids, liquids, and gases.
• Extend this model to phase changes.
• Describe how heating or cooling changes the behavior of the molecules.
• Describe how changing the volume can affect temperature, pressure, and state.
• Relate a pressure-temperature diagram to the behavior of molecules.
• Interpret graphs of interatomic potential.
• Describe how forces on atoms relate to the interaction potential.
• Describe the physical meaning of the parameters in the Lennard-Jones potential, and how this relates to the molecule behavior.

• Describe characteristics of three states of matter: solid, liquid and gas.
• Predict how varying the temperature or pressure changes the behavior of particles.
• Compare particles in the three different phases.
• Explain freezing and melting with molecular level detail.
• Recognize that different substances have different properties, including melting, freezing and boiling temperatures.

Outcomes

In this course you will learn about:

1. Collecting data.
2. Summarising data.
3. Representing data.
4. Interpreting data.

In this lesson you will learn about:

• The structure of matter
• Kinetic theory
• The three states of matter

By the end of this unit you will be able to:

• Identify different types of triangles.
• Investigate the relationship between the sides of a right-angled triangle to develop the Theorem of Pythagoras.
• Use the Theorem of Pythagoras to find missing lengths in right angled triangles.