1. The Measurement Standard
Principles and Standards for School Mathematics
National Council of Teachers of Mathematics
2000
Master 15-1: The Measurement Standard

2. Instructional programs from pre-kindergarten through grade 12 should enable all students to
Understand measurable attributes of objects and the units, systems, and processes of measurement.
Apply appropriate techniques, tools, and formulas to determine measurements
Master 15-1: The Measurement Standard

3. Why Teach Measurement? It provides many applications to everyday life.
It can be used to help learn other mathematics.
It can be related to other areas of the school curriculum.
It involves the students in active learning.
It can be approached through problem solving.
Master 15-2: Why Teach Measurement
2 inch

4. How to Teach Measurement
2 inch
Children must measure frequently and often, preferably on real problems.
Children should encounter activity-oriented measurement situations by doing and experimenting rather than passively observing.
Instructional planning should emphasize the important ideas of measurement that transfer or work across measurement systems.
Master 15-3: The Measurement Process

5. The Measurement Process
I. Identify the attribute by comparing objects
A. Perceptually
B. Directly
C. Indirectly through a reference
II. Choose a unit
A. Arbitrary
B. Standard
Master 15-3: The Measurement Process

6. The Measurement Process
III. Compare the object to the unit
IV. Find the number of units
A. Counting
B. Using instruments
C. Using formulas
V. Report the number of units
Master 15-3: The Measurement Process

7. Stack the rods on a table so that the longest rests on the table and others are on top in order from longest to the shortest. Find the surface area of the structure that could be painted without moving any rods.
Master 15-4: Paint Problem

8. One possible solution:
Explanation: I put two together. Each large face is 10 by 11 or This takes care of the front and back. The side is 10 and the top is 10, so the surface area is 130 square units.
Master 15-4: Paint Problem

9. Early Calendars Why does February have only 28 days ?
Here is a calendar showing the number of days in each month during the Roman era.
J F M A M J J A S O N D
Describe any patterns you see.
How is this calendar different from our current calendar?
Master 15-5: Calendars

10. Early Calendars
The emperor Augustus changed the calendar twice. Here is the first change.
J F M A M J J A S O N D
Here is the second change.
Master 15-5: Calendars