Results

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.

• Describe a vector in your own words
• Explain a method to add vectors
• Compare and contrast the component styles
• Decompose a vector into components
• Describe what happens to a vector when it is multiplied by a scalar
• Arrange vectors graphically to represent vector addition or subtraction

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.

Viewing g as the value of Earth's gravitational field near the surface rather than the acceleration due to gravity near Earth's surface for an object in freefall.

Video 1: Finding percentages with a double number line
Video 2: Finding the whole with a tape diagram
Online activity: Find percents visually

When a circuit is connected and complete, charge can move through the circuit. Charge will not move unless there is a reason, a force to drive it around the circuit. Think of it as though charge is at rest and some- thing has to push it along. This means that work needs to be done to make charge move. A force acts on the charges, doing work, to make them move. The force is provided by the battery in the circuit.