FC2Video

Graphing transformations of the cosine function. © 2008 by Raymond E. Griffith.

Further discussion of even and odd functions. Development of quadrant II and quadrant III relationships. © 2008 by Raymond E. Griffith.

We examine some of the relationships between trig functions. Even/odd functions are developed for quadrants I and IV. © 2008 by Raymond E. Griffith.

Other relationships between quadrants are developed. Periodicity of functions is introduced. © 2008 by Raymond E. Griffith.

Simplifying Trig expressions. Exploring identities. Homework examples worked out. © 2008 by Raymond E. Griffith.

A review of the different ways we have already represented angles, triangles, and the trig functions. © 2008 by Raymond E. Griffith.

Balloons, heights of buildings, verifying the formula for the area of a triangle. © 2008 by Raymond E. Griffith.

A multiple-step problem about the height and length of the skybridge between two towers. © 2008 by Raymond E. Griffith.

Applying the definitions of right triangle trigonometry, and deriving trig values. © 2008 by Raymond E. Griffith.

We look at trig functions by way of the unit circle centered on the origin of the Cartesian plane. © 2008 by Raymond E. Griffith.

Placing the right triangle on the Cartesian plane allows us to extend trig function inputs beyond 90 degrees. © 2008 by Raymond E. Griffith.

Pulleys, gears, angular speed and rotation problems. © 2008 by Raymond E. Griffith.

Introduction to the right triangle and relationships between its sides. © 2008 by Raymond E. Griffith.

Pulleys, gears, and rpms. © 2008 by Raymond E. Griffith.

Converting from degrees to degree-minute-second notation. Conversion from degree measure to radians. © 2008 by Raymond E. Griffith.

Developing and using the formula for arc length. © 2008 by Raymond E. Griffith.

Reviewing definitions. © 2008 by Raymond E. Griffith.

Exploring the way ancient civilizations expressed numbers and counting. Talleys, Egyptian, and Babylonian systems explored. 29m14s © 2008 by Raymond E. Griffith.

Two different ways of defining multiplication of whole numbers: repeated addition and cartesian product of sets. 12m15s © 2008 by Raymond E. Griffith.

Conversion techniques between base ten and other bases 18m10s © 2008 by Raymond E. Griffith.

We describe the basis for a positional system. The Hindu-Arabic system (base 10) is explored, and compared with other grouping schema. 22m54s © 2008 by Raymond E. Griffith.

Exploring the way ancient civilizations expressed numbers and counting. Mayan and Roman numeration explored. 20m25s © 2008 by Raymond E. Griffith.

An introduction to angles, arcs, and circles. © 2008 by Raymond E. Griffith.

An introduction to angles, arcs, and circles. © 2008 by Raymond E. Griffith.

Angles, arcs, circles and angular speed. © 2008 by Raymond E. Griffith.

Two different ways of defining multiplication of whole numbers: repeated addition and cartesian product of sets. 12m15s © 2008 by Raymond E. Griffith.

Construction of the definition and properties of addition of whole numbers by way of set manipulations. 28m23s © 2008 by Raymond E. Griffith.

Exploring the properties of multiplication, including a good example of the distributive property. 11m46s © 2008 by Raymond E. Griffith.

Finishing the construction of the definition and properties of addition of whole numbers by way of set manipulations. Definitions of subtraction. Number line examples. 22m47s © 2008 by Raymond E. Griffith.

Does subtraction have the same kind of properties as addition under the whole numbers? A short investigation. 5m39s © 2008 by Raymond E. Griffith.

A demonstration of exponential growth with a savings account. Formula development. © 2008 by Raymond E. Griffith.

A demonstration of exponential growth with a savings account. Formula development. © 2008 by Raymond E. Griffith.

An exploration of exponential growth and decay, including the concept of a half-life. © 2008 by Raymond E. Griffith.

Two tricky exponential equations worked out. One involved a hidden quadratic. © 2008 by Raymond E. Griffith.

Homework questions on exponential and logarithmic equations worked. © 2008 by Raymond E. Griffith.

Subsets, proper subsets, universal set, empty set, complement, construction of subsets. The two big ideas of sets are inclusion and exclusion. For MAT 141, Mathematical Models I. © 2008 by Raymond E. Griffith.

How many subsets does a set have? Construction of the formula. One-to-one correspondence. A whole number as the cardinal value for a set. Greater than and less than as a set-cardinality comparison. © 2008 by Raymond E. Griffith.

Basic definitions of sets. Equal and equivalent sets, subsets. For MAT 141, Mathematical Models I. © 2008 by Raymond E. Griffith.

Continuing look at problem-solving strategies for exponents and logarithms. © 2008 by Raymond E. Griffith.

Homework questions answered about the properties of logarithms. For MAT 172, Precalculus Trigonometry. © 2008 by Raymond E. Griffith.

Homework questions answered about the properties of logarithms. For MAT 172, Precalculus Trigonometry. © 2008 by Raymond E. Griffith.

Introduction to problem-solving with exponents and logarithms. © 2008 by Raymond E. Griffith.

Basic (very) review of solving equations from algebra. Useful as an introduction to problem-solving with exponents and logarithms. © 2008 by Raymond E. Griffith.

Answering homework questions from the class on the properties of logarithms. For MAT 172, Precalculus Trigonometry. © 2008 by Raymond E. Griffith.

Answering homework questions from the class on the properties of logarithms. For MAT 172, Precalculus Trigonometry. © 2008 by Raymond E. Griffith.

Practicing recognition and use of the properties of logarithms. For MAT 172, Precalculus Trigonometry. © 2008 by Raymond E. Griffith.

Development and use of the Change of Base Formula - one of the properties of logarithms - from the definitions. For MAT 172, Precalculus Trigonometry. © 2008 by Raymond E. Griffith.

Practicing recognition and use of the properties of logarithms. For MAT 172, Precalculus Trigonometry. © 2008 by Raymond E. Griffith.

A development of the properties of logarithms from the definitions. For MAT 172, Precalculus Trigonometry. © 2008 by Raymond E. Griffith.

Griffith Park and Observatory visit August 2008