Triangles are the building blocks of polygons and are key to discovering their properties. By exploring the critical attributes of triangles, students have the opportunity to deepen their understanding of the components of Euclidean Geometry.
Focus TEKS
G.4 Select an appropriate representation (concrete, pictorial, graphical, verbal, or symbolic) in order to solve problems (S)
G.5D identify and apply patterns from right triangles to solve meaningful problems, including triangles whose sides are Pythagorean triples. (R)
G.7B Use slopes and equations of lines to investigate geometric relationships, including perpendicular lines, and special segments of triangles. (R)
G.8C Derive, extend, and use Pythagorean Theorem (R)
Students will know…
• how to classify triangles by the angles and sides
• if the measures of the sides of a triangle actually make a triangle
• the specific properties of Isosceles and Equilateral Triangles
• the relationships between the length of the sides and the measures of the angles
• how to identify the altitudes, angle bisectors, perpendicular bisectors, and medians of triangles
• how the properties of triangles are different between Spherical Geometry and Euclidean Geometry
Students will be able to…
• use the Triangle Inequality Theorem to predict the length of the third side given two side measures of a triangle
• use algebra to solve problems involving the sum of the measures of the interior angles of a triangle
• use algebra to solve problems involving the relationships between the remote interior angles and its corresponding exterior angles of a triangle.
• use algebra to solve problems involving altitudes, angle bisectors, perpendicular bisectors, and medians of triangles
• use algebra to solve problems using the properties of Isosceles and Equilateral Triangles
• solve for missing sides of triangles using the Pythagorean Theorem
• classify triangles using the converse of the Pythagorean Theorem
Unit D Cornell Notes Packet - Part 1
Unit D Classwork Packet - Part 1
10/24 & 10/27 Classifying Triangles
10/28-29 Pythagorean Theorem
10/30-31 Triangle Angles and Midsegments
Unit D Cornell Notes Packet - Part 2
Unit D Classwork Packet - Part 2
11/3-4 Special Triangle Segments
11/5-6 Isosceles & Equilateral Triangles
11/11-12 Unit D Triangles EXAM