Table of Contents for #43 Far Out Math:
Preparation and Support
Welcome Standards History Overview Getting Ready Tracking Sheet Test Questions / Answers
Activities and Lesson Notes
- A1. Adding Slide Rule
- A2. Multiplying Slide Rule
- B1. Log Tape
- B2. String Calculator
- B3. No Strings Calculator
- C1. Base-Two Slide Rule
- C2. Exponential Ups and Downs
- C3. Log Algebra
- D1. Log Ruler
- D2. Scientific Notation
- D3. Classic Slide Rule
- E1. Slide-Rule Graph
- E2. Inverse Functions
- E3. Ironing Out Curves
plastic hairlines adding slide rule Glastoids multiplying slide rule log tape base-two slide rule log ruler playing scales classic slide rule slide rule graph inverse function graph linear / log graph
Complete Master List for #43 Far Out Math:
You don't need much to make your own slide rules and investigate logarithms. In the list of simple materials list below, plastic freezer bags cut into strips will serve as hairlines.
- plastic freezer bags (thinner sandwich bags work less well)
- sharp scissors
- paper clips
- masking tape (or clear tape)
- ball-point pens that writes on plastic
- copier or notebook paper (or recycled scratch paper)
- manila folders
- rulers (or straightedges)
- meter sticks (optional)
Teaching Tips for #43 Far Out Math:
Mike Konshak, curator of the International Slide Rule Museum, has a loan program that sends out matching sets of 25 slide rules to teachers wishing to introduce their students to logarithms and slide rules. The only cost to the school is the postage to send them back again. You can keep these for a whole semester or school year. Mike has associates in other countries also hosting this loan program.
Check out www.sliderulemuseum.com.
National Science Education Standards (NRC 1996) for #43 Far Out Math:
These 14 lessons promote excellence in science teaching by these NSES criteria:
Teachers of science...
A: ...plan an inquiry-based science program. (p. 30)
B: ...guide and facilitate learning. (p. 32)
C: ...engage in ongoing assessment of their teaching and of student learning. (p. 37)
D: ...design and manage learning environments that provide students with the time, space, and resources needed for learning science. (p. 43)
These 14 lessons contain fundamental content as defined by these NSES guidelines (p. 109).
Represent a central event or phenomenon in the natural world.
Represent a central scientific idea and organizing principle.
Have rich explanatory power.
Guide fruitful investigations.
Apply to situations and contexts common to everyday experiences.
Can be linked to meaningful learning experiences.
Are developmentally appropriate for students at the grade level specified.
Unifying Concepts and Processes
NSES Framework: Systems, order, and organization Evidence, models and explanation Constancy, change, and measurement Form and function
Core Concepts/Processes: Slide rules multiply by adding exponents, and divide by subtracting exponents. Exponents, orders of magnitude, and logarithms have similar mathematical properties. Ordinary numbers, powers of ten, and antilogs have similar mathematical properties.
Science as Inquiry (content standard A)
NSES Framework: Use appropriate tools and techniques to gather, analyze, and interpret data. Think critically and logically to connect evidence and explanations. Communicate scientific procedures and explanations. Use mathematics in all aspects of scientific inquiry.
Core Inquiries: Logarithms Exponents Orders of magnitude Slide rules Scientific notation Log graphs Reading scales Significant figures Estimating to the last decimal place
History and Nature of Science (content standard G)
NSES Framework: Science as a human endeavor History of science
Core Content: Before digital calculators were invented in the 1970's, slide rules ruled for 350 years. Mathematicians and scientists avoided tedious multiplication and long division by adding and subtracting exponents.