Cursus

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

• Define and use the trigonometric ratios of cosθ, sinθ and tanθ.
• Calculate the trigonometric ratios in each quadrant of the Cartesian plane.
• Calculate the value of expressions containing trigonometric ratios.

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.

This online lesson explores the concept of translations.

This online lesson explains what rotations are.

This online interactive lesson discusses what reflections are and provides examples of reflections.

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.

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.

In this section, you will:

• Evaluate square roots.
• Use the product rule to simplify square roots.
• Use the quotient rule to simplify square roots.
• Add and subtract square roots.
• Rationalize denominators.
• Use rational roots.

An activity explaining the properties of exponents.