The Unit Circle
The exact value of the trigonometric ratios for 0°, 30°, 45°, 60°, and 90° will be discovered by analyzing the unit circle using special triangles.
45-45-90 Triangles
The ratios of the 45-45-90 triangle will be derived using the Pythagorean Theorem. The properties of the special triangles can then be applied to the trigonometric ratios of sine and cosine.
30-60-90 Triangles
The ratios of the 30-60-90 triangle will be derived using the Pythagorean Theorem. The ratios when the be applied to quickly find the side lengths of any 30-60-90 triangle.
Areas with Rectangles, Triangles, and Circles
Do you need to know the length of every side to calculate the area of these shapes? The following set of questions will explore strategies for finding the areas of different shapes.
Deriving the Area of Triangles
What is the formula to calculate the area of a triangle? This set of questions will show visually how we can find the area of triangles using only the area of rectangles.