IN_Standards for printing.xlsx - Carnegie Learning

G.2.9
G.2.10
G.2.11
Indiana Geometry
Prove and apply theorems about parallelograms and trapezoids
(including isosceles trapezoids) involving their angles, sides, and
diagonals and prove that given quadrilaterals are parallelograms,
rhombuses, rectangles, squares, or trapezoids (as appropriate).
Triangles
Define, identify, construct, and solve problems involving
perpendicular bisectors, angle bisectors, medians and altitudes
in triangles.
Construct triangles congruent to given triangles, explaining and
justifying the process used.
Carnegie Learning Source 1
Text
Software
9.2, 9.3, 9.4
5.6, 5.7
Carnegie Learning Resource Center:
Triangle Constructions
G.2.12
Use theorems to show whether two triangles are congruent (SSS,
SAS, ASA) or similar (AA, SAS, SSS).
7.2, 7.3, 8.1, 8.2, 8.3, 8.4, 8.5
G.2.13 Apply the triangle inequality theorem. 3.5
G.2.14
Develop simple geometric proofs involving triangles and provide
reasons for each statement.
3.3, 3.4, 3.5, 5.4, 5.5, 5.6, 5.7 14, 15
Isosceles Triangles
G.2.15 Prove and apply the isosceles triangle theorem and its converse. 4.3 17
Right Triangles
G.2.16
G.2.17
G.2.18
G.2.19
G.2.20
Prove the Pythagorean Theorem and its converse and use them
to solve problems, including problems involving the length of a
segment in the coordinate plane.
Prove and apply the relationships that exist when the altitude is
drawn to the hypotenuse of a right triangle.
Use special right triangles (30° ‐ 60° and 45° ‐ 45°) to solve
problems.
Define and use the trigonometric functions (sine, cosine,
tangent) in terms of angles of right triangles.
Deduce and apply the area formula A =1/2 ab sinC, where a and
b are the lengths of two sides of a triangle and C is the measure
of the included angle formed by the two sides.
4.2 16
8.4
4.3, 4.4 17
11.1, 11.2, 11.3, 11.4 29
G.2.21
G.3.1
G.3.2
Solve problems that can be modeled using right triangles,
including problems that can be modeled using trigonometric
functions. Interpret the solutions, and determine whether the
solutions are reasonable, using technology as when appropriate.
Standard 3 Circles
Construct the circle that passes through three given points not
on a line and construct tangents to circles and circumscribe and
inscribe circles, justifying the processes used.
Define, deduce and use formulas for, and prove theorems for
radius, diameter, chord, secant, and tangent.
11.1, 11.2, 11.3, 11.4 29
10.2, 10.4, 10.5, 12.1
10.1 27