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<a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/2013/04/28/reference-angles/" title="Reference Angles"><img src="https://scienceres-edcp-educ.sites.olt.ubc.ca/files/2013/04/sec_math_tri_referenceAngles-150x150.jpg" alt="Reference Angles" class="thumbnail thumbnail " /></a>

Reference Angles

By Harish Appana Satya on April 28, 2013

The concept of reference angles will be used to find equivalent ratios for sine, cosine, and tangent in different quadrants.

Posted in sec_mat_tri | Tagged angles, cosine, geometry, math 11-12, quadrants, reference angle, sine, tangent, trigonometric ratios, trigonometry, unit circle

<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>

The Unit Circle

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

45-45-90 Triangles

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>

30-60-90 Triangles

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/2012/08/01/dimensions/" title="Dimensions"><img src="https://scienceres-edcp-educ.sites.olt.ubc.ca/files/2012/08/sec_math_geometry_dimensions-150x150.jpg" alt="Dimensions" class="thumbnail thumbnail " /></a>

Dimensions

By Harish Appana Satya on August 1, 2012

Basic geometry and mathematics are used in this problem set to explain varying properties of an ascending series of n-dimensional units.

Posted in sec_mat_tri | Tagged area, cube, dimensions, edge length, expansion, math 11-12, math 8-10, perimeter, scaling factor, surface area, volume

<a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/2012/08/01/menger-sponge-2/" title="Menger Sponge"><img src="https://scienceres-edcp-educ.sites.olt.ubc.ca/files/2012/08/sec_math_geometry_menger1-150x150.jpg" alt="Menger Sponge" class="thumbnail thumbnail " /></a>

Menger Sponge

By Harish Appana Satya on August 1, 2012

The concept of surface area is explored through the iterative processes in creating a Menger sponge.

Posted in sec_mat_tri | Tagged area, cube, math 11-12, patterns, sequences, surface area

<a href="https://scienceres-edcp-educ.sites.olt.ubc.ca/2012/08/01/diagonals/" title="Diagonals"><img src="https://scienceres-edcp-educ.sites.olt.ubc.ca/files/2012/08/sec_math_geometry_diagonals-150x150.jpg" alt="Diagonals" class="thumbnail thumbnail " /></a>

Diagonals

By Harish Appana Satya on August 1, 2012

Varying lines and diagonals in cubes and tetrahedral are examined and solved for in this series of problems.

Posted in sec_mat_tri | Tagged cube, diagonal, geometry, lines, math 11-12, math 8-10, pythagoras, shape and space, tetrahedron

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