Math - 2018-19

G.8a - Pythagorean Theorem

G.8  The student will solve problems, including practical problems, involving right triangles.  This will include applying

a)  the Pythagorean Theorem and its converse;



Adopted: 2016

BIG IDEAS

  • I can determine what size TV to purchase, figure what length ladder will be needed for a job, and find the shortest route to travel.  I can find the distance across a lake without swimming across it.
  • I will calculate the length of a segment and determine a right angle without directly measuring.


UNDERSTANDING THE STANDARD

2016 VDOE Curriculum Framework - G.8 Understanding

·  The converse of the Pythagorean Theorem can be used to determine if a triangle is a right triangle. 

·  45°-45°-90° and 30°-60°-90° triangles are special right triangles because their side lengths can be specified as exact values using radicals rather than decimal approximations.

·  The sine of an acute angle in a right triangle is equal to the cosine of its complement. 


ESSENTIALS

The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

·  G.8a1  Determine whether a triangle formed with three given lengths is a right triangle.

·  G.8abc1  Solve problems, including practical problems, using right triangle trigonometry and properties of special right triangles. 



KEY VOCABULARY

triangle, side, angle, right angle, right triangle, Pythagorean Theorem, Converse of Pythagorean Theorem, special right triangle, right triangle trigonometry, length, geometric figure, 45°-45°-90° triangle, 30°-60°-90° triangle, sine, cosine, tangent, grade, hypotenuse, short leg, long leg, complementary angle, angle of elevation, angle of depression, ratio, similar, adjacent, adjacent side, opposite, opposite, scale factor, justify, calculate

2016 Word Wall Cards

Updated: Aug 23, 2018