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Sometimes, when the probability problems are complex, it can be helpful to graph the situation. Tree diagrams and Venn diagrams are two tools that can be used to visualize and solve conditional probabilities.

This online lesson explores these two tools.

An online application to test your knowledge of evaluating trigonometric functions of special angles.

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

Short tutorial on trigonometry

Students learn about two-axis rotations, and specifically how to rotate objects both physically and mentally about two axes. A two-axis rotation is a rotation of an object about a combination of x, y or z-axes, as opposed to a single-axis rotation, which is about a single x, y or z-axis. Students practice drawing two-axis rotations through an exercise using simple cube blocks to create shapes, and then drawing on triangle-dot paper the shapes from various x-, y- and z-axis rotation perspectives.

An interactive activity on finding the union of sets.

In this video you will learn how to use the Pythagoras theorem.

Using a Venn Diagram, students identify similarities and differences between two things by listing certain features in a chart containing overlapping circles. Venn Diagrams can be used to summarize, compare, or comprehend information.

We can analyse the arrows in a food web to identify producers, primary consumers, secondary consumers, and decomposers.