| Pre-Test |
eTAP Lessons
Outside Link |
 |
Post-Test |
| Q&A |
1.0 |
Students demonstrate understanding by
identifying and giving examples of undefined terms, axioms, theorems, and
inductive and deductive reasoning. |
Deductive Reasoning
Definition
Number and Picture Patterns
Finding the nth Term
Mathematical Modeling |
Many-Sided
World of Geometry, The, Program 1: Geometry Basics |
Q&A |
| http://en.wikipedia.org/wiki/Deductive_reasoningasas |
| Q&A |
2.0 |
Students write geometric proofs, including
proofs by contradiction. |
Geometric Proofs |
Many-Sided
World of Geometry, The, Program 2: Angles 101
Many-Sided
World of Geometry, The, Program 5: The Pythagorean Theorem |
Q&A |
http://www.sparknotes.com/math/geom
etry3/geometricproofs/ |
| Q&A |
3.0 |
Students construct and judge the validity of a
logical argument and give counterexamples to disprove a statement. |
Geometric Proofs |
Q&A |
http://www.sparknotes.com/math/geom
etry3/geometricproofs/ |
| Q&A |
4.0 |
Students prove basic theorems involving
congruence and similarity. |
Congruencies |
Many-Sided
World of Geometry, The, Program 3: Triangles |
Q&A |
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=congruen |
| Q&A |
5.0 |
Students prove that triangles are congruent or
similar, and they are able to use the concept of corresponding parts of
congruent triangles. |
Expressing Relationships Between Figures |
Q&A |
http://regentsprep.org/Regents/math/con
gruen/Ltriangles.htm |
| Q&A |
6.0 |
Students know and are able to use the triangle
inequality theorem. |
Triangle Inequalities |
Many-Sided
World of Geometry, The, Program 4: Special Triangles |
Q&A |
| http://regentsprep.org/regents/math/math-topic.cfm?TopicCode=triineq |
| Q&A |
7.0 |
Students prove and use theorems involving the
properties of parallel lines cut by a transversal, the properties of
quadrilaterals, and the properties of circles. |
Lines and Angles
Polygons and Their Properties
Circles |
Many-Sided
World of Geometry, The, Program 2: Angles 101 |
Q&A |
| http://www.mathsrevision.net/gcse/pages.php?page=17 |
| Q&A |
8.0 |
Students know, derive, and solve problems
involving the perimeter, circumference, area, volume, lateral area, and
surface area of common geometric figures. |
Area
Circles
Kites and Trapezoids
Parallelograms
Area Formulas
Volume Formulas |
Many-Sided
World of Geometry, The, Program 6: Figuring Out Area
ModuMath 6.4:
Perimeter |
Q&A |
| http://regentsprep.org/Regents/math/math-a.cfm#a5 |
| Q&A |
9.0 |
Students compute the volumes and surface areas
of prisms, pyramids, cylinders, cones, and spheres; and students commit to
memory the formulas for prisms, pyramids, and cylinders. |
Volume Formulas
Volume
Surface Area |
Many-Sided
World of Geometry, The, Program 6: Figuring Out Area |
Q&A |
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=fsolid |
| Q&A |
10.0 |
Students compute areas of polygons,
including rectangles, scalene triangles, equilateral triangles, rhombi,
parallelograms, and trapezoids. |
Areas I.
Areas II.
Areas of Regular Polygons |
Many-Sided
World of Geometry, Thes, Program 6: Figuring Out Area
ModuMath 6.4:
Perimeter |
Q&A |
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=farea |
| Q&A |
11.0 |
Students determine how changes in dimensions
affect the perimeter, area, and volume of common geometric figures and
solids. |
|
Mathematical Eye: Area and
Volume
Mathematical Eye: Shapes and
Angles |
Q&A |
| Q&A |
12.0 |
Students find and use measures of sides and of
interior and exterior angles of triangles and polygons to classify figures
and solve problems. |
Triangles
Triangles Sum Conjecture
Exterior Angles of a Polygon |
The Twisted World of
Trigonometry, Program 2: Trigonometry Functions |
Q&A |
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=poly |
| Q&A |
13.0 |
Students prove relationships between angles in
polygons by using properties of complementary, supplementary, vertical, and
exterior angles. |
Triangle Inequalities
Polygon Sum Conjecture
Exterior Angles of a Polygon |
The Many-Sided World of
Geometry, Program 1: Geometry Basics
The Many-Sided World of
Geometry, Program 2: Angles 101 |
Q&A |
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=angles |
| Q&A |
14.0 |
Students prove the Pythagorean theorem. |
Pythagorean Theorem
The Theorem of Pythagoras |
Project Mathematics: Theorem
of Pythagoras |
Q&A |
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=fpyth |
|
15.0 |
Students use the Pythagorean theorem to
determine distance and find missing lengths of sides of right triangles. |
The Theorem of Pythagoras |
The Many-Sided World of
Geometry, Program 5: The Pythagorean Theorem
The Twisted World of
Trigonometry, Program
2:Trigonometry Functions |
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=fpyth |
| Q&A |
16.0 |
Students perform basic constructions with a
straightedge and compass, such as angle bisectors, perpendicular bisectors,
and the line parallel to a given line through a point off the line. |
Construction |
|
Q&A |
| http://whistleralley.com/construction/reference.htm |
| Q&A |
17.0 |
Students prove theorems by using coordinate
geometry, including the midpoint of a line segment, the distance formula,
and various forms of equations of lines and circles. |
Geometric Proof |
Discovering Math: Concepts
in Geometry and Measurement: Coordinate Geometry |
Q&A |
| http://regentsprep.org/Regents/mathb/mathb-topic.cfm?TopicCode=1D |
| Q&A |
18.0 |
Students know the definitions of the basic
trigonometric functions defined by the angles of a right triangle. They also
know and are able to use elementary relationships between them. For example,
tan(x) = sin(x)/cos(x), (sin(x))2 + (cos(x))2 = 1. |
Sine and Cosine Functions 1.
Sine and Cosine
Functions 2. |
Math Factor: Trigonometric
and Circular Functions Review |
Q&A |
| http://home.alltel.net/okrebs/page72.html |
| Q&A |
19.0 |
Students use trigonometric functions to solve
for an unknown length of a side of a right triangle, given an angle and a
length of a side. |
Areas of Triangles
|
The Twisted World of
Trigonometry, Program 2: Trigonometry Functions |
Q&A |
| http://regentsprep.org/Regents/mathb/mathb-topic.cfm?TopicCode=5C1 |
| Q&A |
20.0 |
Students know and are able to use angle and side
relationships in problems with special right triangles, such as 30°, 60°,
and 90° triangles and 45°, 45°, and 90° triangles. |
Special Right Triangles |
The Many-Sided World of
Geometry, Program 4: Special Triangles
The Many-Sided World of
Geometry, Program 5: The Pythagorean Theorem |
Q&A |
http://regentsprep.org/Regents/Math/r
tritrig/Ltri45.htm |
| Q&A |
21.0 |
Students prove and solve problems regarding
relationships among chords, secants, tangents, inscribed angles, and
inscribed and circumscribed polygons of circles. |
Circles |
Project Mathematics: Sines
and Cosines, Part III (Addition Formulas)
Discovering Math: Concepts
in Geometry |
Q&A |
http://www.regentsprep.org/Regents/math
/geometry/GP14/indexGP14.htm |
| Q&A |
22.0 |
Students know the effect of rigid motions on
figures in the coordinate plane and space, including rotations,
translations, and reflections. |
Transformations |
Math Factor: Combined
Transformations of Trigonometric Functions |
Q&A |
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=cotran |