Provide "acknowledged body of knowledge" related to the concept. Emphasize the most significant aspects of the concept in an organized, organic manner. Present information sequentially so students see continuity. Draw attention to important, discrete details; don't swamp students with myriad facts.

Teach Fibonacci Sequence concepts and vocabulary.

Objective: Students will learn the concepts and vocabulary of the Fibonacci Sequence and The Golden Rule. Note: From this point, the unit is divided into two main topics (Fibonacci Sequence and The Golden Rule). There are four Fibonacci activities and six Golden Rule activities. You may wish to teach the material (step 4), and have the students reinforce the learning (step 5) for one activity at a time. All of the activities under a topic should be completed before beginning step 6 for that topic. Students may need to review the three following concepts in decimal use if they are to experience success in the third Fibonacci activity:

Meaning of the decimal part of a number, i.e., that it is part of a whole and that the places represent tenths, hundredths, and thousandths of a whole.

Conversion of any fraction to a decimal by dividing with the calculator.

Measurement of items with a centimeter ruler to the nearest millimeter and naming the result as a decimal number of centimeters. (This review can be found in any good math text.)

Activity: Teach the following Fibonacci Sequence* concepts and vocabulary:

Helices, helix, sequence, Fibonacci Sequence, infinite, finite (correlates with "The Pinecone Numbers" worksheets).

Clockwise and counterclockwise curves (correlates with "Coloring Sunflower Spirals" worksheets).

"Babies," "youngsters," and "adults" in rabbit life cycles; "ideal" versus "real" answers in science (correlates with "Leonardo's Rabbits" worksheets).

Hexagon, parthenogenesis (correlates with "The Number Secret of the Bees" worksheets). Teach the following Golden Rule* concepts and vocabulary:

Ratio, relative and absolute comparisons (correlates with "Introducing Ratios" worksheets).

The Golden Ratio, "Classic" Greek, profile of characteristics, trend, sample, random (correlates with "The Greeks and Their Golden Ratio" worksheets).

"Perfect" human face (correlates with "Golden Faces" worksheets).

Golden Rectangle, arcs, spiral (correlates with "The Golden Rectangle" worksheets).

Calculus, limit (correlates with "The Fibonacci Numbers Strike Again" worksheets).

Commutative (correlates with "The Fibonaccis, The Golden Ratio, and Some Calculator Tips" worksheets). * See resources listed in bibliography for teaching the above concepts.

Assessment: Subjective measure of student understanding.