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When two objects interacting through a field change relative position, the energy stored in the field is changed.

• Explain the Conservation of Mechanical Energy concept using kinetic energy (KE) and gravitational potential energy (PE).
• Describe how the Energy Bar and Pie Charts relate to position and speed.
• Explain how changing the Skater Mass affects energy.
• Explain how changing the Track Friction affects energy.
• Predict position or estimate speed from Energy Bar and Pie Charts.
• Calculate speed or height at one position from information about a different position.
• Calculate KE and PE at one position from information about a different position.
• Design a skate park using the concepts of mechanical energy and energy conservation.

Outcomes

In this course you will learn how to:

1. Use exponential notation and exponential identities.
2. Multiply exponents.
3. Divide exponents.
4. Raise a power to a power.
5. Change fractional exponents to radical form.
6. Simplify surds.

In this video we’re going to discover how to factorise quadratics that don’t have 1 as the coefficient of the x-squared term. These are called non-monic quadratics. We can do it by trial and error and just spotting the factors, but this takes a lot of trial an error. Luckily there is a different method we can use instead, which we will looks at in this video.

This video explains how to find factors.

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

Video 1: What are frequency polygons?
Video 2: Examples of frequency polygons
Video 3: Further examples of frequency polygons

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

• Calculate measures of central tendency and percentiles on grouped data.
• Construct a frequency polygon.
• Construct a line graph.

This video explores how to find the mean from data in a table.

This video explores the histogram: which is one of the ways in which to present data.