Resultaten

An introduction to the difference between distance traveled and displacement.

Using a one-dimensional number line to visualise and calculate distance and displacement.

Use the dynamic worksheet to practice simplifying expressions with fractional exponents, rewriting them as radicals.

Managing time involves accurately predicting how much time it will take to do a task, and then setting aside that amount of time to complete it. Managing time is much more difficult than it may seem, which is why there are entire courses of study and research on the best approaches. But if you develop a method to undertake each component, you’ll be successful.

Using position-time graphs and number lines to find displacement and distance traveled.

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.

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

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.

Outcomes

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

• Define and use the trigonometric ratios of  cosθ,  sinθ, and  tanθ.
• Calculate the value of expressions containing trigonometric ratios with a calculator.
• Calculate the value of expressions containing trigonometric ratios without a calculator.
• Work with trigonometric tables.
• Solve problems in 2 dimensions involving angles of elevation and depression

Worked examples finding displacement and distance from position-time graphs.