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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.

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.

This course covers how to add, subtract, multiply and divide whole numbers.

By the end of this short course, you will be able to:

• Multiply integers
• Divide integers
• Simplify expressions with integers
• Evaluate variable expressions with integers
• Translate English phrases to algebraic expressions
• Use integers in applications

By the end of this short course, you will be able to:

• Use negatives and opposites
• Simplify: expressions with absolute value
• Add integers
• Subtract integers

This lesson will be the first of six lessons guiding students in constructing the abstract concepts necessary to understand adding positive and negative integers. It is designed for adult learners (or middle school or older) who are not fluent with using numbers. A real life lesson will be included in this series of lessons-Budgeting.