References

Chapter 1: Angles, Euclid's postulates, the Pythagorean theorem and applications

1.1: Angles, Euclid's postulates, the Pythagorean theorem and applications

1.2

Chapter 2:Geometric transformations

1.1: Geometric transformations (rotations, reflections, and translations) and advanced perspectives

1.2: Rotations

Chapter 3: What is $\pi$? Digits of $\pi$: Archimedes' strategy and beyond

3.1: What is $\pi$?

3.2: Digits of $\pi$

Chapter 4: Special right triangles, the unit circle, and trigonometric functions

4.1

4.2

Chapter 5: Linear equations and applications

5.1

5.2

Chapter 6: Nonlinear equations with an emphasis on exponential functions and their inverses (logarithms)

6.1

6.2

References

GeoGebra, free mathematics software for learning and teaching. Link to GeoGebra's online applet start: click here

The Mathematics that Every Secondary School Math Teacher Needs to Know, Alan Sultan and Alice F. Artzt, published in 2011 by Routledge, New York, NY.

An Episodic History of Mathematics: Mathematical Culture through Problem Solving, by Steven G. Krantz, published in 2010 by the Mathematical Association of America.

Knowing and Teaching Elementary Mathematics, by Liping Ma, published by Lawrence Erlbaum Associates, 1999.

Chapter 1: Angles, Euclid's postulates, the Pythagorean theorem and applications

Chapter 2:Geometric transformations

Chapter 3: What is $\pi$? Digits of $\pi$: Archimedes' strategy and beyond

Chapter 4: Special right triangles, the unit circle, and trigonometric functions

Chapter 5: Linear equations and applications

Chapter 6: Nonlinear equations with an emphasis on exponential functions and their inverses (logarithms)

Chapter 7: Conic Sections

Chapter 8: Exponential functions and their inverses (logarithms)

Chapter 9: Visual definition of derivative, applications and problems

Chapter 10: Area under a curve, visualizing a definite integral

References