|
Standards |
Description |
Lessons |
|
1 |
Determine the equation of a line parallel or perpendicular to a
second line through a given point. |
4 |
|
2 |
Justify theorems
related to pairs of angles, including angles formed by parallel and
perpendicular lines, vertical angles, adjacent angles, complementary
angles, and supplementary angles. |
4 |
|
3 |
Verify the
relationships among different classes of polygons by using their
properties. |
2 |
| 4 |
Determine the
measure of interior and exterior angles associated with polygons. |
2 |
| 5 |
Solve real-life
and mathematical problems using properties and theorems related to
circles, quadrilaterals, and other geometric shapes. |
3 |
| 6 |
Apply the
Pythagorean Theorem to solve application problems, expressing
answers in simplified radical form or as decimal approximations,
using Pythagorean triples when applicable. |
5 |
| 7 |
Use the ratios
of the sides of special right triangles to find lengths of missing
sides. |
2 |
| 8 |
Deduce relationships between two triangles, including proving
congruence or similarity of the triangles from given information,
using the relationships to solve problems and to establish other
relationships. |
3 |
|
9 |
Use
inductive reasoning to make conjectures and deductive reasoning to
justify conclusions. |
4 |
|
10 |
Find the missing measures of sides and angles in right triangles by
applying the right triangle definitions of sine, cosine, and tangent. |
1 |
|
11 |
Determine the
areas and perimeters of regular polygons, including inscribed or
circumscribed polygons, given the coordinates of vertices or other
characteristics. |
7 |
|
12 |
Apply distance,
midpoint, and slope formulas to solve problems and to confirm
properties of polygons. |
5 |
|
13 |
Identify the
coordinates of the vertices of the image of a given polygon that is
translated, rotated, reflected, or dilated. |
3 |
|
14 |
Classify
polyhedrons according to their properties, including the number of
faces. |
3 |
| 15 |
Calculate
measures of arcs and sectors of a circle from given information. |
5 |
| 16 |
Calculate surface
areas and volumes of solid figures, including spheres, cones, and
pyramids. |
6 |
| 17 |
Analyze sets of
data from geometric contexts to determine what, if any, relationships
exist. |
3 |
| 18 |
Construct with
precision a circle graph to represent data from given tables or
classroom experiments.
|
2 |
