Geometry Learner Outcomes

P1          I can identify and name points, lines, planes, segments, rays, and angles.

P2          I can determine if points are collinear and/or coplanar.

P3          I can find the measure of an angle using a protractor.

P4          I can classify angles by their measure.

P5          I can classify triangles by their sides and angles.

P6          I can identify complementary and supplementary angles and can solve problems using their properties.

P7          I can find the perimeter (& circumference) of 2D shapes (rectangle, triangle, & circles).

P8          I can find the area of 2D shapes (rectangle, triangle, & circles).

1            I understand and can apply the segment addition postulate to find lengths of segments.

2            I can apply the properties of the midpoint or segment bisector of a segment.

3            I understand and can apply the angle addition postulate to find measures of angles.

4            I can apply the properties of an angle bisector.

5            I can find the coordinates of the midpoint of a segment on a number line or coordinate grid.

6            I can identify, solve problems, and write proofs involving linear pairs and vertical angles.

7            I can find a missing side of a right triangle using the Pythagorean Theorem.

8            I can apply the Converse of the Pythagorean Theorem.

9            I can find the distance between two points on a coordinate grid using the Distance Formula.

10          I understand and can apply the equation of a circle in a coordinate grid.

11          I understand and write a congruence statement for two congruent figures.

12          I understand the properties of and can perform translations.

13          I understand the properties of and can perform reflections.

14          I understand the properties of and can perform rotations.

15          I understand the properties of and can perform a composition of transformations.

16          I understand the relationships between slopes of parallel and perpendicular lines.

17          "I can identify special angle pairs (corresponding, alternate interior, same side interior,
               same side exterior, alternate exterior) formed when two lines are cut by a transversal."

18          I can apply the special angle pair properties to solve problems involving parallel and perpendicular
              lines.

19          I can apply the converses of the special angle pair theorems to solve problems involving parallel and                           
              perpendicular lines.

20          I can write proofs of the theorems (and converses) of special angle pairs involving parallel and
             perpendicular lines.

21          I understand and can apply the triangle angle sum theorem to solve problems.

22          I can prove the triangle angle sum theorem.

23          I understand and can apply the triangle exterior angle theorem.

24          I can prove the triangle exterior angle theorem.

25          Given the measures of 3 segments, I can determine if the segments will form a triangle.

26          Given the lengths of the three sides of a triangle, I can determine which angle is largest and which is
              smallest.

27          Given the measures of the three angles in a triangle, I can determine which side length is longest and
              which is shortest.

28          I understand and can apply the isosceles triangle theorem and its converse.

29          I can apply the properties of isosceles and equilateral triangles to solve problems.

30          I understand and can write proofs using the triangle congruence theorems (SSS, SAS, ASA, AAS, HL).

31          I understand what CPCTC means and can apply it in proof problems.

32          I can apply the properties of midsegments to solve problems.

33          I can construct the circumcenter of a triangle and understand its properties.

34          I can construct the incenter of a triangle and understand its properties.

35          I can construct the median of a triangle and understand its properties.

36          I can construct the altitudes of different triangles (obtuse, acute, & right).

37          I can explain and apply the polygon angle-sum theorem.

38          I understand and can apply the polygon exterior angle-sum theorem.

39          I understand and can apply theorems about parallelograms.

40          I can write proofs about properties of parallelograms.

41          I can write coordinate proofs about parallelograms.

42          I understand and can apply the area formula for a parallelogram.

43          I understand and can apply theorems about rectangles.

44          I understand and can apply theorems about rhombuses.

45          I understand and can apply theorems about squares.

46          I can write proofs about properties of special parallelograms.

47          I can write coordinate proofs about special parallelograms.

48          I understand and can apply properties of trapezoids.

49          I understand and can apply the area formula for a trapezoid.

50          I understand the properties of and can perform dilations.

51          I can determine and justify if two figures are similar using the definition of similarity.

52          I can find the perimeter and area of similar figures.

53          I can solve problems involving scale diagrams and indirect measurement.

54          I can solve problems involving the side-splitter theorem.

55          I can apply theorems involving altitudes of right triangles.

56          I understand and can apply the properties of 45-45-90 triangles.

57          I understand and can apply the properties of 30-60-90 triangles.

58          I can apply the trigonometric ratios to solve problems.

59          I can apply the inverse trigonometric ratios to solve problems.

60          I can find the area of regular polygons.

61          I can find the area of a triangle given SAS.

62          I can find the area of composite figures.

63          I can identify and find the measure of a minor arc in a circle.

64          I can identify and find the measure of a major arc in a circle.

65          I can solve problems involving arc length of a circle.

66          I can solve problems involving the area of a sector of a circle.

67          I understand and can solve problems using tangent lines of a circle.

68          I understand and can solve problems involving inscribed angles of circles.

69          I can solve problems involving surface area of prisms.

70          I can solve problems involving surface area of cylinders.

71          I can solve problems involving surface area of pyramids.

72          I can solve problems involving surface area of cones.

73          I can solve problems involving surface area of spheres.

74          I can solve problems involving surface area of composite figures.

75          I can solve problems involving the volume of prisms.

76          I can solve problems involving the volume of cylinders.

77          I can solve problems involving the volume of pyramids.

78          I can solve problems involving the volume of cones.

79          I can solve problems involving the volume of spheres.

80          I can solve problems involving volume of composite figures.