Major Concept- E. Angles and Polygons

 

Objective

 

1. To define and illustrate by drawing the following- acute angle, right angle, obtuse angle, straight angle, reflex angle, complementary angles, supplementary angles, adjacent angles, vertically opposite angles, congruent angles, central angles of a regular polygon.

 

2. To solve word problems involving the angles stated in #1.

 

3. To define and illustrate the following polygons- convex, non-convex, regular, quadrilateral parallelogram, rectangle, rhombus, square, trapezoid, and isosceles trapezoid.

 

4. To classify quadrilaterals as trapezoids, isosceles trapezoids, parallelograms, rectangles, rhombuses, and squares.

 

5. To construct informally parallelograms, rectangles, rhombuses, and squares.

 

6. To state and apply the properties of parallelograms.

 

7. To determine the sum of the measures of the interior and exterior angles of a convex polygon of n sides.

 

8. To determine the measure of a central angle in a regular n-gon.

 

9. To determine the measures of the interior and exterior angles of regular n-gons

 

10. To determine the number of diagonals in a polygon of n sides.

 

11. To calculate to two decimal places the length of a missing side of a right triangle using the Pythagorean Theorem.

 

12. To solve word problems using the Pythagorean Theorem.

 

13. To determine if a triangle is a right triangle by using the converse of the Pythagorean Theorem.

 

14. To determine the value of the three primary trigonometric ratios by using a calculator.

 

15. To determine the measure of an angle given the value of one trigonometric ratio of the angle by using a calculator.

 

16.To calculate the measure of an angle or the length of a side of a right triangle using the tangent, sine, and cosine ratios.

 

17. To solve word problems that involve trigonometric ratios using a calculator.

 
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