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triangles

<img width="125" height="100" src="https://scienceres-edcp-educ.sites.olt.ubc.ca/files/2013/04/sec_math_tri_unitCircle-125x100.jpg" class="attachment-post-thumbnail size-post-thumbnail wp-post-image" alt="" decoding="async" />

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.

<img width="125" height="100" src="https://scienceres-edcp-educ.sites.olt.ubc.ca/files/2013/04/sec_math_tri_454590-125x100.jpg" class="attachment-post-thumbnail size-post-thumbnail wp-post-image" alt="" decoding="async" loading="lazy" />

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.

<img width="125" height="100" src="https://scienceres-edcp-educ.sites.olt.ubc.ca/files/2013/04/sec_math_tri_306090-125x100.jpg" class="attachment-post-thumbnail size-post-thumbnail wp-post-image" alt="" decoding="async" loading="lazy" />

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.

<img width="125" height="100" src="https://scienceres-edcp-educ.sites.olt.ubc.ca/files/2012/07/elem_math_shape_areaIrregular-125x100.jpg" class="attachment-post-thumbnail size-post-thumbnail wp-post-image" alt="" decoding="async" loading="lazy" />

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.

<img width="125" height="100" src="https://scienceres-edcp-educ.sites.olt.ubc.ca/files/2012/07/elem_math_shape_areaTriangles-125x100.jpg" class="attachment-post-thumbnail size-post-thumbnail wp-post-image" alt="" decoding="async" loading="lazy" />

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.

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