9-12 Level Lesson Plans
In alignment with the NCTM Standards, this unit will help students to:
understand attributes, units, and systems of measurement(miles, gallons, pounds).
apply a variety of techniques, tools, and formulas for determining measurement (length, volume, weight).
develop an understanding of the effects of measurement error on computed values.
combine measurements (e.g. length, time, mass, area, volume) using ratios to produce measures such as acceleration and density.
use mathematical models and analyze change in real contexts.
investigate and verify conjectures and solve problems involving three-dimentional figures.
use trigonometric relationships to solve problems.
pose questions and collect, organize, and represent data to answer those questions. (e.g. "If I am kayaking and hit a rock, fall out of my kayak, and it tips over and fills full of water, how much will it weigh if I try to lift it up to bail the water out?")
develop and evaluate inferences, predictions, and arguments that are based on data. (e.g. "If I am planning an expedition kayaking trip, based on my previous experience, how far can I expect to travel a day? how much food will I need to bring? how long will my trip last to go the distance I want to go? etc.)
apply well-fitting models to predict unobserved data.
apply a wide variety of strategies to solve problems.
monitor and reflect on their mathematical thinking in solving problems.
express mathematical ideas coherently and clearly to peers, teachers, and others.
make and investigate mathematical conjectures.
recognize, use, and learn about mathematics in contexts outside of mathematics.
use representations to model and interpret physical, social, and mathematical phenomena.
You will need the following materials for this unit:
The activity sheets (click above).
Rulers and calculators for your students.
Gallon-size containers (milk jugs work well).
Maps of various rivers (local ones, if possible) -- various types of graphs are also good, try to have at least a few topographical maps.
At least one PC with access to the Web so students can gather data from the sites linked to this one. If possible and available, try to schedule at least a few class periods in your computer lab so each child will have a computer to work with.
A kayak . . . a real one is best -- many times a local outdoor store will allow you to use one for classroom purposes at little or no cost, just call and ask! -- if you can't obtain the real thing, a model will do, you may purchase a nice one from Nantahala's Outdoor Store, their # is 1-800-367-3521 (FAX 828-488-2498) or you may click this button
to visit their website and order online (Item #AC-PR-TOY) or this button
) to send them an email. It's very inexpensive, $10 + S&H.
You may want to use some of the following methods to divide your class into various-sized groups, click here for ideas .
