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Portsmouth High School Mathematics
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Geometry Topics:

 

Introduction to Geometry Basics

1.1 Building Blocks of Geometry

                Coordinate Midpoint Theorem

1.2 Poolroom Math

1.3 What’s A Widget?

2.5 Angle Relationships

2.6 Special Angles on Parallel Lines

 

Geometric Reasoning

2.1 Inductive Reasoning

2.2 Deductive Reasoning

2.3 Finding the nth Term

2.4 Mathematical Modeling

 

Triangles

1.5a Triangles

4.1 Triangle Sum Conjecture

4.2 Properties of Special Triangles

                Writing Linear Equations

4.3 Triangle Inequalities

4.4 + 4.5 Are There Congruence Shortcuts?

4.6 Corresponding Parts of Congruent Triangles

4.7 Flowchart Thinking

 

Triangle Similarity

11.2 Similar Triangles

11.3 Indirect Measurement with Similar Triangles

11.4 Corresponding Parts of Similar Triangles

 

Pythagorean Theorem

9.1 The Theorem of Pythagoras

9.2 The Converse of the Pythagorean Theorem

                Radical Expressions

9.3 Two Special Right Triangles

9.5 Distances in Coordinate Geometry

12.1 Trigonometric Ratios

 

Transformations

7.1 Transformations and Symmetry

7.2 Properties of Isometries

 

Polygons

1.4 Polygons

1.5b Special Quadrilaterals

5.1 Polygon Sum Conjecture

5.2 Exterior Angles of a Polygon

5.3 Kites and Trapezoids Properties

5.4 Properties of Midsegments

5.5 Properties of Parallelograms

5.6 Properties of Special Parallelograms

11.1 Similar Polygons

 

 

Circles

1.6 + 6.1 Circles / Chord Properties

6.2 Tangent Properties

6.3 Arcs and Angles

6.5 The Circumference / Diameter Ratio

6.6 Around the World

6.7 Arc Length

 

 

Area

8.1 Areas of Rectangles and Parallelograms

8.2 Areas of Triangles, Trapezoids, and Kites

8.3 Area Problems

8.4 Areas of Regular Polygons

8.5 Areas of Circles

8.6 Any Way You Slice It

8.7 Surface Area

9.6 Circles and the Pythagorean Theorem

 

Volume

10.1 The Geometry of Solids

10.2 Volume of Prisms and Cylinders

10.3 Volume of Pyramids and Cones

10.4 Volume Problems

10.6 + 10.7 Volume and Surface Area of a Sphere