Math Department
 |
High School Resources |
 |
ASD Grade Level Expectations
GLEs for Geometry
Geometry
for Enjoyment and Challenge McDougal Littell (Gray)
The GLEs listed below are not addressed in the
Geometry curriculum, but will be tested.
It is important to refresh these concepts before the SBA test in
the spring. |
9th Grade GLEs
N-1,
N-2, N-3, N-5, MEA-1, E&C-1, E&C-2, E&C-3, F&R-1,
F&R-6, S&P-1, S&P-2, S&P-3, S&P-4, S&P-6 |
10th
Grade GLEs
N-1,
N-2, N-4, N-7, N-8, E&C-3, F&R-6, S&P-1, S&P-2,
S&P-3, S&P-4, PS-2, PS-3 |
| The GLEs below are aligned with the Geometry curriculum. |
| |
| Chapter |
Title |
9th GLE |
10th GLE |
| 1.1 |
Getting
Started |
|
|
| 1.2 |
Measurement
of Segments and Angles |
|
|
| 1.3 |
Collinearity,
Betweenness, and Assumptions |
|
|
| 1.4 |
Beginning
Proofs |
|
PS-4 |
| 1.5 |
Division
of Segments and Angles |
|
G-6,
PS-5 |
| 1.6 |
Paragraph
Proofs |
|
PS-4 |
| 1.7 |
Deductive
Structure |
|
|
| 1.8 |
Statements
of Logic |
|
|
| 1.9 |
Probability |
S&P-5 |
S&P-5,
S&P-6 |
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 2.1 |
Perpendicularity |
|
G-7 |
| 2.2 |
Complementary
and Supplementary Angles |
G-1 |
G-1 |
| 2.3 |
Drawing
Conclusions |
|
|
| 2.4 |
Congruent
Supplements and Complements |
|
|
| 2.5 |
Addition
and Subtraction Properties |
|
|
| 2.6 |
Multiplication
and Division Properties |
|
PS-5 |
| 2.7 |
Transitive
and Substitution Properties |
|
|
| 2.8 |
Vertical
Angles |
|
|
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 3.1 |
What
Are Compound Figures? |
G-2 |
|
| 3.2 |
Three
Ways to Prove Triangles Congruent |
|
PS-4 |
| 3.3 |
CPCTC
and Circles |
|
|
| 3.4 |
Beyond
CPCTC |
|
PS-5 |
| 3.5 |
Overlapping
Triangles |
|
|
| 3.6 |
Types
of Triangles |
|
|
| 3.7 |
Angle-Side
Theorems |
|
|
| 3.8 |
The
HL Postulate |
|
|
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 4.1 |
Detours
and Midpoints |
|
G-6 |
| 4.2 |
The
Case of the Missing Diagram |
|
|
| 4.3 |
A
Right-Angle Theorem |
G-1 |
G-1 |
| 4.4 |
The
Equidistance Theorems |
|
PS-5 |
| 4.5 |
Introduction
to Parallel Lines |
G-1 |
G-1 |
| 4.6 |
Slope |
N-4, G-5 |
G-7 |
| Review |
|
G-2, G-3 |
G-4 |
| |
|
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
| 5.1 |
Indirect
Proof |
|
PS-4 |
| 5.2 |
Proving
That Lines Are Parallel |
G-1 |
G-1,
G-7, PS-5 |
| 5.3 |
Congruent
Angles Associated with Parallel Lines |
G-1 |
G-1,
G-7 |
| 5.4 |
Four-Sided
Polygons |
|
|
| 5.5 |
Properties
of Quadrilaterals |
|
|
| 5.6 |
Proving
That a Quadrilateral Is a Parallelogram |
|
|
| 5.7 |
Proving
That Figures Are Special Quadrilaterals |
|
|
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 6.1 |
Relating
Lines to Planes |
|
PS-5 |
| 6.2 |
Perpendicularity
of a Line and a Plane |
|
|
| 6.3 |
Basic
Facts About Parallel Lines |
|
G-7 |
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 7.1 |
Triangle
Application Theorems |
|
G-3 |
| 7.2 |
Two
Proof-Oriented Triangle Theorems |
|
|
| 7.3 |
Formulas
Involving Polygons |
|
PS-5 |
| 7.4 |
Regular
Polygons |
|
|
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 8.1 |
Ratio
and Proportion |
E&C-4 |
|
| 8.2 |
Similarity |
E&C-4,
G-2 |
G-4 |
| 8.3 |
Methods
of Proving Triangles Similar |
|
G-3 |
| 8.4 |
Congruence
and Proportion in Similar Triangles |
|
PS-4 |
| 8.5 |
Three
Theorems Involving Proportions |
|
PS-5 |
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 9.1 |
Review
of Radicals and Quadratic Equations |
N-4 |
N-1,
N-3 |
| 9.2 |
Introduction
to Circles |
|
G-1 |
| 9.3 |
Altitude-on-Hypotenuse
Theorems |
|
|
| 9.4 |
Geometry's
Most Elegant Theorem |
N-4,
MEA-1 |
N-1,
N-3 |
| 9.5 |
The
Distance Formula |
|
G-6,
PS-5 |
| 9.6 |
Families
of Right Triangles |
|
|
| 9.7 |
Special
Right Triangles |
S&P-5 |
S&P-5 |
| 9.8 |
The
Pythagorean Theorem and Space Figures |
|
|
| 9.9 |
Introduction
to Trigonometry |
|
|
| 9.10 |
Trigonometric
Ratios |
|
|
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 10.1 |
The
Circle |
|
|
| 10.2 |
Congruent
Chords |
|
|
| 10.3 |
Arcs
of a Circle |
G-1 |
G-1 |
| 10.4 |
Secants
and Tangents |
|
|
| 10.5 |
Angles
Related to a Circle |
G-1 |
G-1 |
| 10.6 |
More
Angle-Arc Theorems |
|
|
| 10.7 |
Inscribed
and Circumscribed Polygons |
|
|
| 10.8 |
The
Power Theorems |
|
PS-5 |
| 10.9 |
Circumference
and Arc Length |
|
|
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 11.1 |
Understanding
Area |
F&R-7 |
MEA-1,
E&C-2, F&R-7, PS-1 |
| 11.2 |
Areas
of Parallelograms and Triangles |
F&R-7 |
MEA-1,
E&C-2, F&R-7, PS-1 |
| 11.3 |
The
Area of a Trapezoid |
F&R-7 |
MEA-1,
E&C-2, F&R-7, PS-1 |
| 11.4 |
Areas
of Kites and Related Figures |
F&R-7 |
MEA-1,
E&C-2, F&R-7, PS-1 |
| 11.5 |
Areas
of Regular Polygons |
F&R-7 |
MEA-1,
E&C-2, F&R-7, PS-1 |
| 11.6 |
Areas
of Circles, Sectors, and Segments |
F&R-7 |
MEA-1,
E&C-2, F&R-7, PS-1, PS-5 |
| 11.7 |
Ratios
of Areas |
F&R-3, F&R-7 |
MEA-1,
E&C-2, F&R-3, PS-1 F&R-7, S&P-6 |
| 11.8 |
Hero's and Brahmagupta's Formulas |
|
|
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 12.1 |
Surface
Area of Prisms |
G-4,
F&R-3, F&R-7 |
MEA-1,
E&C-2, G-5, F&R-3, F&R-7 |
| 12.2 |
Surface
Area of Pyramids |
G-4,
F&R-3, F&R-7 |
MEA-1,
E&C-2, G-5, F&R-3, F&R-7, PS-5 |
| 12.3 |
Surface
Areas of Circular Solids |
G-4,
F&R-3, F&R-7 |
MEA-1,
E&C-2, G-5, F&R-3, F&R-7 |
| 12.4 |
Volumes
of Prisms and Cylinders |
G-4,
F&R-3, F&R-7 |
MEA-1,
E&C-2, G-5, N-5, F&R-3, F&R-7 |
| 12.5 |
Volumes
of Pyramids and Cones |
G-4,
F&R-3, F&R-7 |
MEA-1,
E&C-2, G-5, N-5, F&R-3,F&R-7 |
| 12.6 |
Volumes
of Spheres |
G-4,
F&R-3, F&R-7 |
MEA-1,
E&C-2, G-5, N-5, F&R-3, F&R-7 |
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 13.1 |
Graphing
Equations |
F&R-2 |
F&R-1 |
| 13.2 |
Equations
of Lines |
F&R-2,
G-5 |
F&R-2 |
| 13.3 |
Systems
of Equations |
F&R-5 |
F&R-5,
G-7 |
| 13.4 |
Graphing
Inequalities |
F&R-2 |
|
| 13.5 |
Three-Dimensional
Graphing and Reflections |
|
PS-5 |
| 13.6 |
Circles |
|
|
| 13.7 |
Coordinate-Geometry
Practice |
|
|
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 14.1 |
Locus |
|
|
| 14.2 |
Compound
Locus |
|
|
| 14.3 |
The
Concurrence Theorems |
|
|
| 14.4 |
Basic
Constructions |
|
|
| 14.5 |
Applications
of the Basic Constructions |
|
|
| 14.6 |
Triangle
Constructions |
|
|
| Review |
|
|
PS-5 |
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 15.1 |
Number
Properties |
|
PS-5 |
| 15.2 |
Inequalities
of a Triangle |
|
|
| 15.3 |
The
Hinge Theorems |
|
|
| |
|
|
|
| Chapter |
Title |
9th GLE |
10th GLE |
|
| 16.1 |
The
Point-Line Distance Formula |
N-3 |
PS-5 |
| 16.2 |
Two
Other Useful Formulas |
|
|
| 16.3 |
Stewart's
Theorem |
|
|
| 16.4 |
Ptolemy's
Theorem |
|
|
| 16.5 |
Mass
Points |
|
|
| 16.6 |
Inradius
and Circumradius Formulas |
|
|
| 16.7 |
Formulas
for You to Develop |
|
|
|
 |
|
