<a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/2013/04/28/the-unit-circle/" title="The Unit Circle"><img src="https://scienceres-edcp-educ.sites.olt.ubc.ca/files/2013/04/sec_math_tri_unitCircle-150x150.jpg" alt="The Unit Circle" class="thumbnail thumbnail " /></a>
By Harish Appana Satya on April 28, 2013
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.
Posted in sec_mat_tri | Tagged angles, cosine, geometry, math 11-12, quadrants, right angle triangle, sine, tangent, triangles, trigonometric ratios, trigonometry, unit circle
By Harish Appana Satya on April 28, 2013
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.
Posted in sec_mat_tri | Tagged 45-45-90, angles in a triangle, diagonals, geometry, math 11-12, Pythagorean theorem, ratios, right angle triangle, triangles
<a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/2013/04/28/30-60-90-triangles/" title="30-60-90 Triangles"><img src="https://scienceres-edcp-educ.sites.olt.ubc.ca/files/2013/04/sec_math_tri_306090-150x150.jpg" alt="30-60-90 Triangles" class="thumbnail thumbnail " /></a>
By Harish Appana Satya on April 28, 2013
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.
Posted in sec_mat_tri | Tagged 30-60-90, angles in a triangle, dimensions, equilateral triangle, geometry, math 11-12, Pythagorean theorem, ratios, right angle triangle, scaling factor, triangles, unit circle
<a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/2012/07/30/areas-with-rectangles-triangles-circles/" title="Areas with Rectangles, Triangles, and Circles"><img src="https://scienceres-edcp-educ.sites.olt.ubc.ca/files/2012/07/elem_math_shape_areaIrregular-150x150.jpg" alt="Areas with Rectangles, Triangles, and Circles" class="thumbnail thumbnail " /></a>
By Harish Appana Satya on July 30, 2012
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.
Posted in elem_mat_sas | Tagged area, circles, elementary math, polygons, rectangles, shape and space, triangles
<a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/2012/07/27/deriving-the-area-of-triangles/" title="Deriving the Area of Triangles"><img src="https://scienceres-edcp-educ.sites.olt.ubc.ca/files/2012/07/elem_math_shape_areaTriangles-150x150.jpg" alt="Deriving the Area of Triangles" class="thumbnail thumbnail " /></a>
By Harish Appana Satya on July 27, 2012
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.
Posted in elem_mat_sas | Tagged area, elementary math, parallelograms, polygons, rectangles, shape and space, triangles