Exploring Measurement

11/22/00


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Table of Contents

Exploring Measurement

Preface

Preface continued

Introduction

P1 To mark out a straight line between two points visible from each other.

P1 continued

P1 continued

P1 continued

P1 continued Discovery project

P1 continued

P2 To mark out a straight line between two points not visible from each other.

P3 To find the intersection of two straight lines.

PPT Slide

P2 & P3 continued Insert P3.gps below

PPT Slide

P4 To measure the distance between two points over ground approximately horizontal.

P4 continued

P4 continued

P4 continued Pick a variety of objects, you must use each tool at least once.

PPT Slide

P4 continued

PPT Slide

P5 To measure the distance between two points on sloping ground.

P6 To erect a perpendicular from a point in a given line.

P6 continued

P7 To drop a perpendicular from a point to a line.

P7 continued

P8 To establish a line parallel to a given line (through a given point).

P8 continued

PPT Slide

P9 To establish the direction of the meridian.

P9 continued

P9 continued

P9 continued

P9 continued Discovery project

PPT Slide

P10 To find the height of an object whose base is accessible. A review of right triangle trigonometry.

P10 continued

P10 continued

P10 continued Shadow method

P10 continued Discovery project

PPT Slide

P11 To find the horizontal distance between two points, one being accessible. An application of the Right Triangle Trigonometry .

P 11 continued

P 11 continued

P12 To find the height of an object whose base is inaccessible. Another review of the Law of Sines.

PPT Slide

P13 To find the horizontal distance between two points, each inaccessible from the other but both accessible from a third point.

P13 continued

P13 continued

PPT Slide

P14 To find the horizontal distance between two points, each inaccessible from the other and from any third point.

PPT Slide

P15 To map an area bounded by straight lines.

PPT Slide

P16 To find the area of a horizontal plot bounded by irregular sides.

PPT Slide

P17 Given the sides of a triangle, to find its area.

P17 continued

P17 continued

P17 continued

PPT Slide

P18 To determine a series of elevations and draw a profile map.

P18 continued

P18 continued

PPT Slide

P19 Bisect an angle

PPT Slide

PPT Slide

P20 To determine the size of an angle, using a tape. Reviewing right triangle trigonometry

PPT Slide

Project Time

Checking Skills Constructions

High School Constructions

Nine-Point Circle A construction to test our skills with Euclidean tools.

Checking Skills Measurement

Checking Skills Trigonometry

Checking Skills Measurement Formulas All of these should be memorized.

Checking Skills Measurement Formulas All of these should be memorized.

Checking Skills Measurement Formulas All of these should be memorized.

Checking Skills Measurement Formulas All of these should be memorized.

Glossary

Bibliography

Author: Dan Miller

Email: damiller@mail.millikin.edu