Geometry
 Share
The version of the browser you are using is no longer supported. Please upgrade to a supported browser.Dismiss

View only
 
ABCDEFGHIJKLMNOPQRSTUVWXYZ
1
Geometry CompetenciesDescription of Competency
2
Mathematics
3
Geometry CP
4
Mathematical PracticesExplain and justify reasoning when solving mathematical problems.
5
Mathematical Practices Indicator 1Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles
6
Mathematical Practices Indicator 2Explain and use the relationship between the sine and cosine of complementary angles.
7
Mathematical Practices Indicator 3Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
8
Mathematical Practices Indicator 4Understand and apply the Law of Sine’s and the Law of Cosines to find unknown measurements in right and non-right triangles.
9
Mathematical Practices Indicator 5Use Volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
10
Mathematical Practices Indicator 6Use Surface area formulas for cylinders, pyramids, cones, and spheres to solve problems.
11
Mathematical Practices Indicator 7Define and apply properties of polygons.
12
Number SystemsApply, prove, and extend properties of geometric figures.
13
Number Systems Indicator 1Know precise definitions of angle, circles, perpendicular line, parallel line, and line segment, based on the undefined notations of point, line, distance along a line, and distance along a line, and distance around a circular arc.
14
Number Systems Indicator 2Prove theorems about lines and Angles.
15
Number Systems Indicator 3Prove theorems about triangles.
16
Number Systems Indicator 4Prove theorems about parallelograms.
17
Number Systems Indicator 5Determine lengths, arc and angles to solve problems with circles.
18
Similarity & CongruenceConstruct and apply viable arguments about similarity and congruence.
19
Similarity & Congruence Indicator 1Explain how and prove triangles similarity (AA, SSS, and SAS)
20
Similarity & Congruence Indicator 2Explain how and prove triangle congruence (ASA, SAS, SSS, and HL)
21
Similarity & Congruence Indicator 3Prove Theorems about triangles.
22
Similarity & Congruence Indicator 4Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
23
Geometric RelationshipsDesign models that can be used to represent and understand geometric relationships.
24
Geometric Relationships Indicator 1Use coordinates to prove simple geometric theorems algebraically.
25
Geometric Relationships Indicator 2Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.
26
Geometric Relationships Indicator 3Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
27
Geometric Relationships Indicator 4Use coordinates to compute perimeters of polygons and areas of triangles and rectangles.
28
Geometric Relationships Indicator 5Use geometric shapes, their measures, and their properties to describe objects.
29
Geometric Relationships Indicator 6Apply concepts of density based on area and volume in modeling situations
30
Geometric Relationships Indicator 7Apply geometric methods to solve design problems.
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Loading...