Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources Standard: G.5 Essential Understanding Key Vocabulary The longest side of a triangle is opposite the largest altitude angle of the triangle and the shortest side is opposite 3 days 6 days isosceles The student, given information the smallest angle. linear pair concerning the lengths of sides and/or median measures of angles in triangles, will In a triangle, the length of two and the included scalene a) order the sides by length, given the angle determine the length of the side opposite the triangle angle measures; angle. Triangle Inequality Theorem b) order the angles by degree measure, given the side lengths; In order for a triangle to exist, the length of each side c) determine whether a triangle DOE Lesson Plans must be within a range that is determined by the exists; and lengths of the other two sides. d) determine the range in which the length of the third side must lie. Textbook Resources Essential Knowledge/Skills These concepts will be considered in the 5.1 5.4 (supplemental to G.5), 5.6, the sides of a triangle by their lengths when – context of real-world situations. 5.7 given the measures of the angles. Order the angles of a triangle by their measures Resources/Lessons when given the lengths of the sides. Given the lengths of three segments, determine whether a triangle could be formed. Given the lengths of two sides of a triangle, determine the range in which the length of the third side must lie. Solve real-world problems given information about the lengths of sides and/or measures of angles in triangles.
Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources 3 days 6 days Standard: G.5 The student, given information concerning the lengths of sides and/or measures of angles in triangles, will a) order the sides by length, given the angle measures; b) order the angles by degree measure, given the side lengths; c) determine whether a triangle exists; and d) determine the range in which the length of the third side must lie. These concepts will be considered in the context of real-world situations. Essential Understanding The longest side of a triangle is opposite the largest angle of the triangle and the shortest side is opposite the smallest angle. In a triangle, the length of two and the included angle determine the length of the side opposite the angle. In order for a triangle to exist, the length of each side must be within a range that is determined by the lengths of the other two sides. Essential Knowledge/Skills the sides of a triangle by their lengths when given the measures of the angles. Order the angles of a triangle by their measures when given the lengths of the sides. Given the lengths of three segments, determine whether a triangle could be formed. Given the lengths of two sides of a triangle, determine the range in which the length of the third side must lie. Solve real-world problems given information about the lengths of sides and/or measures of angles in triangles. Key Vocabulary altitude isosceles linear pair median scalene triangle Triangle Inequality Theorem DOE Lesson Plans Textbook Resources 5.1 – 5.4 (supplemental to G.5), 5.6, 5.7 Resources/Lessons
2014-2015_geometry_completed_pacing_guide.docx