Enduring Understandings
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Triangles are fundamental aesthetic, structural elements
that are useful in many disciplines such as art, architecture, and
engineering.
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Essential Questions
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How can classifying triangles identify their special
characteristics?
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What special relationships occur between congruent
triangles and similar triangles?
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What special properties exist in a right triangle that
makes it unique?
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How can special segments of a triangle be used to solve
real-world problems?
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How can points of concurrency be used in real- world
situations?
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Students will know…
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the different types of triangles: acute, equiangular,
equilateral, isosceles, obtuse, right,
scalene,.
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the different parts of a triangle: altitude, midsegment, base angle, vertex angle, base, legs,
hypotenuse, remote interior angles, exterior angles.
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the different segments of a triangle: perpendicular
bisector, angle bisector, median, points of concurrency.
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how to prove triangles
congruent by HL, ASA, AAS,SAS, CPCTC.
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the Pythagorean Theorem, Pythagorean Triples, special right triangles, triangle angle
sum.
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Trigonometric Ratios: angles of elevation and depressions.
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review: algebra, constructions, distance formula, midpoint
formula, dilations, Informal transformation.
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similar triangles: ratio geometric mean, proportion.
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fractals, point matrices, polar grid.
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Students will be able
to…
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Determine if segments form a triangle.
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Apply properties of congruent and similar triangles.
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Compare sizes and analyze properties of triangles.
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