| Chapter |
Title |
GLE |
| 1.1 |
Inductive
Reasoning |
F&R-1,
PS-4 |
| 1.2 |
Number
Patterns |
F&R-1 |
| 1.3 |
Picture
Patterns |
F&R-1 |
| 1.4 |
Finding
the nth Term |
F&R-1 |
| 1.5 |
Figurative
Numbers/Pascal's Triangle |
F&R-1 |
| 1.6 |
Mathematical
Modeling |
F&R-1 |
| 1.7 |
Chapter
Review |
F&R-1 |
| |
|
|
| Chapter |
Title |
GLE |
|
| 2.1 |
Building
Blocks of Geometry |
|
| 2.2 |
Poolroom
Math |
PS-2 |
| 2.3 |
What's
a Widget? |
|
| 2.4 |
Defining
Line and Angle Relationships |
G-1,
PS-4 |
| 2.5 |
Defining
Polygons |
G-4 |
| 2.6 |
Defining
Triangles |
|
| 2.7 |
Special
Quadrilaterals |
|
| 2.8 |
Space
Geometry/Networks |
|
| 2.9 |
A
Picture Is Worth a Thousand Words |
PS-3 |
| 2.10 |
Chapter
Review |
PS-3 |
| |
|
|
| Chapter |
Title |
GLE |
|
| 3.1 |
Duplicating
Segments and Angles |
|
| 3.2 |
Constructing
Perpendicular Bisectors |
N-1 |
| 3.3 |
Constructing
Perpendiculars |
|
| 3.4 |
Constructing
Angle Bisectors |
|
| 3.5 |
Constructing
Parallel Lines |
|
| 3.6 |
Construction
Problems |
|
| 3.7 |
Constructing
Points of Concurrency |
|
| 3.8 |
The Centroid |
|
| |
| Chapter |
Title |
GLE |
| 4.1 |
Discovering
Angle Relationships |
G-1 |
| 4.2 |
Discovering
Properties of Parallel Lines |
G-1 |
| 4.3 |
Midpoint
and Slope Conjectures |
G-6 |
| 4.4 |
Slopes
of Parallel and Perpendicular Lines |
G-7 |
| 4.5 |
Equations
of Lines/Best Fit Lines |
F&R-2,
F&R-5, S&P-4 |
| 4.6 |
Finding
Intersections of Lines |
F&R-5 |
| 4.7 |
Geometric
Probability |
S&P-5,
S&P-6 |
| |
|
|
| Chapter |
Title |
GLE |
|
| 5.1 |
Triangle
Sum Conjecture |
|
| 5.2 |
Properties
of Isosceles Triangles |
|
| 5.3 |
Triangle
Inequalities |
|
| 5.4 |
SSS,
SAS, and SSA Congruence Shortcuts |
|
| 5.5 |
ASA,
SAA, and AAA Congruence Shortcuts |
|
| 5.6 |
Flow-Chart
Thinking |
|
| 5.7 |
Isosceles
Triangles Revisited |
|
| |
|
|
| Chapter |
Title |
GLE |
|
| 6.1 |
Polygon
Sum Conjecture |
|
| 6.2 |
Exterior
Angles of a Polygon |
|
| 6.3 |
Kite
and Trapezoid Properties |
|
| 6.4 |
Properties
of Midsegments |
|
| 6.5 |
Properties
of Parallelograms |
|
| 6.6 |
Properties
of Special Parallelograms |
|
| |
|
|
| Chapter |
Title |
GLE |
|
| 7.1 |
Defining
Circles |
G-1 |
| 7.2 |
Discovering
Chord Properties |
G-1 |
| 7.3 |
Discovering
Tangent Properties |
|
| 7.4 |
Arcs
and Angles |
G-1 |
| 7.5 |
The
Circumference/Diameter Ratio |
N-1 |
| 7.6 |
Around
the World |
|
| 7.7 |
Arc
Length |
|
| |
|
|
| Chapter |
Title |
GLE |
|
| 8.1 |
Transformations |
G-4 |
| 8.2 |
Properties
of Isometries |
G-4 |
| 8.3 |
Symmetry |
|
| 8.4 |
Tessellations
with Regular Polygons |
|
| 8.5 |
Tessellations
with Nonregular Polygons |
|
| 8.6 |
Tessellations
Using Only Translations |
|
| 8.7 |
Tessellations
That Use Rotations |
|
| 8.8 |
Tessellations
That Use Glide Reflections |
|
| |
|
|
| Chapter |
Title |
GLE |
|
| 9.1 |
Areas of
Rectangles and Parallelograms |
E&C-2 |
| 9.2 |
Areas
of Triangles, Trapezoids, and Kites |
E&C-2 |
| 9.3 |
Area
Problems |
E&C-2,
PS-1, PS-2 |
| 9.4 |
Areas
of Regular Polygons |
E&C-2 |
| 9.5 |
Areas
of Circles |
E&C-2,
PS-1 |
| 9.6 |
Any
Way You Can Slice It |
E&C-2 |
| 9.7 |
Surface
Area |
E&C-2 |
| 9.8 |
Area
Problems |
E&C-2,
PS-1, PS-2 |
| |
|
|
| Chapter |
Title |
GLE |
|
| 10.1 |
The
Theorem of Pythagoras |
|
| 10.2 |
Is
the Converse True? |
|
| 10.3 |
Right
Triangle Word Problems |
|
| 10.4 |
Two
Special Right Triangles |
N-1,
N-3 |
| 10.5 |
Multiples
of Right Triangles |
|
| 10.6 |
Return
of the Word Problems |
PS-1,
PS-2, PS-3 |
| 10.7 |
Distance
in Coordinate Geometry |
G-6 |
| 10.8 |
Circles
and the Pythagorean Theorem |
|
| 10.9 |
Pythagorean
Potpourri |
N-3 |
| 10.10 |
Chapter
Review |
N-3 |
| |
|
|
| Chapter |
Title |
GLE |
|
| 11.1 |
Polyhedrons,
Prisms, and Pyramids |
G-5 |
| 11.2 |
Solids
with Curved Surfaces |
|
| 11.3 |
Volume
of Prisms and Cylinders |
N-5,
MEA-1, G-5 |
| 11.4 |
Volume
of Pyramids and Cones |
N-5,
MEA-1, G-5 |
| 11.5 |
Volume
Problems |
N-5,
MEA-1, G-5 |
| 11.6 |
Displacement
and Density |
|
| 11.7 |
Volume
of a Sphere |
N-5,
MEA-1, G-5 |
| 11.8 |
Surface
Area of a Sphere |
|
| 11.9 |
Revenge
of the Volume Problems |
N-5,
MEA-1, G-5 |
| |
|
|
| Chapter |
Title |
GLE |
|
| 12.1 |
Ratio and
Proportions |
G-3 |
| 12.2 |
Similarity |
G-3 |
| 12.3 |
Similar
Triangles |
G-3 |
| 12.4 |
Indirect
Measurement with Similar Triangles |
|
| 12.5 |
Corresponding
Parts of Similar Triangles |
|
| 12.6 |
Proportions
with Area and Volume |
|
| 12.7 |
Proportional
Segments by Parallel Lines |
G-3 |
| |
| Chapter |
Title |
GLE |
| 13.1 |
Trigonometric
Ratios |
|
| 13.2 |
Problem
Solving with Right Triangles |
|
| 13.3 |
The
Law of Sines |
|
| 13.4 |
The
Law of Cosines |
|
| 13.5 |
Problem
Solving with Trigonometry |
|
| |
|
|
| Chapter |
Title |
GLE |
|
| 14.1 |
"That's
Logical!" |
PS-4 |
| 14.2 |
Sherlock
Holmes |
PS-4 |
| 14.3 |
Forms
of Valid Reasoning |
PS-4 |
| 14.4 |
The
Symbols of Logic |
PS-4 |
| 14.5 |
The
Law of Syllogism |
|
| 14.6 |
The
Law of Contrapositive |
|
| 14.7 |
Direct
Proofs |
PS-4 |
| 14.8 |
Conditional
Proofs |
|
| 14.9 |
Indirect
Proofs |
PS-4 |
| |
|
|
| Chapter |
Title |
GLE |
|
| 15.1 |
Premises
of Geometry |
N-7 |
| 15.2 |
Postulates
of Geometry |
G-6 |
| 15.3 |
Geometric
Proofs |
|
| 15.4 |
Proving
Angle Conjectures |
|
| 15.5 |
Linking
Proofs About Parallelograms |
|
| 15.6 |
Linking
Proofs About Parallel Lines |
|
| 15.7 |
Auxiliary
Lines and Overlapping Figures |
|
| |
|
|
| Chapter |
Title |
GLE |
|
| 16.1 |
From
Conjecture to Proof |
|
| 16.2 |
Proving
the Triangle Sum Conjecture |
|
| 16.3 |
Proving
Circle Conjectures |
|
| 16.4 |
Proving
the Pythagorean Theorem |
|
| 16.5 |
Indirect
Geometric Proofs |
|
| 16.6 |
Proof
with Coordinate Geometry |
G-7 |
| 16.7 |
Midsegment
Conjectures |
|
