*Overview*

## Introduction

Measure is the action to find the size, amount, or degree of something. Usually an object, set of objects, or quantity of matter. Usually by using an instrument or device that compares the unknown to standard units.

- All objects have properties or attributes that can be measured.
- We measure with different accuracies depending on the selection and use of a measurement system, units, tools, and purpose of the measurement.
- Measuring is a process that starts with the identification of something to measure - a property of an object or event, then a selection of a measuring system and appropriate unit (standard or non standard), and finally a process to iterate the unit across the unknown object or event to be measured.

## Teacher resources

- All math concepts
- Measurement Concepts
- Beginning concepts and misconceptions
- Literate concepts and misconceptions
- Advanced concepts and misconceptions
- Estimation of measurement concepts and misconceptions
- Curriculum K - 9 - Measurement, time, money - ocabulary, topics, general activities, concepts labels, by grade levels
- Cartography unit - map making, angle measurement, compass, clinometer, measure height, measure distance, locating objects with distance and angle combinations, contour maps
- Telling time activities - grade two with sample pictures
- Metric quiz and crossword puzzle for review
: make a deck with 45 cards. Draw straight lines on each card. Slant the line on each card at different degrees. Make 4 - 1 cm, 4 - 2 cm, 4 - 3 cm, 4 - 4cm, 4 - 5 cm, 5 - 6 cm, 5 - 7cm, 5 - 8 cm, 5 - 9 cm, & 5 - 10cm. Deal three cards to each player and play like 21. Player that line lengths add closest to 21 cm without going over is the winner. After the deal each player can choose to to be dealt another card or hold. Player closest to 21 cm with out going over wins. Winner measures each card with a cm ruler to verify their score. Could have players add the lengths of their cards, if they don't go over 21, sum them and play first to 121 wins.**21 Centimeter card game**- A History of Measurement and Measurement in the United States - timeline
- Essay on the History of the metric system in the United States
- Calendars 1776 - 2000 ... Can you discover the day of the week different people were born?

*Counting change Suggestion for teaching*

- People use money to buy goods and services.
- Money can be sorted by its value.
- Similar coins have similar values.

- Sort coins by value.

- Draw pictures of coins and paper money.
- Have students lay a number of coins on their desk (two quarters, two dimes and a nickel).
- Represent the coins on the board (draw a circle for each coin with the value inside: (25, 25, 10, 10, 5).
- Ask students how to count them.
- As students count them circle the first two numbers (say 25, 25) and write the sum (50).
- Draw an arrow to the next number they want to add (10) and write the sum (60).
- Draw a line with an arrow to the next (10) write the sum (70).
- Draw a line with an arrow to the last (5) and write the sum (75).
- Ask the students why they added the coins in the order that they did.
- Discuss the differences that order can make.
- Try other orders and combinations to see if they get the same value.
- Discuss which orders are easier to add and develop suggestions for adding different kinds of money.
- Create more problems and discuss as above.

Can use the *counting money strategy* for counting
decimal numbers. Write the starting value (1.89), select a count (.01), write it,
write the sum (1.90), write the next coin (.10), then the sum (2.00),
and continue as before.

*Metric units*

*Meter* is the unit for *linear* measurement.

- One meter is a little longer than one yard.
- One millimeter = .001 meter or one thousandth meter (diameter of a paper clip)
- One centimenter = .01 meter or one hundredth meter (width of a paper clip or little finger)
- One kilometer = 1000 meters (a bit more than half a mile)
- 1000 mm = 1 m
- 100 cm = 1 m
- 1000 m = 1 km

*Liter* is the unit for *volume*. One liter is a little more than a quart.

- milliliter is .001 liters or one thoundth liter (five ml make a teaspoon)

*Gram* is the unit *mass*. One gram is abouit the weight of a paper clip.

- kilogram 1000 grams (can of peaches about 2.2 pounds)

Most used prefixes for metric units:

- milli = one thousandth (.001)(10
^{-3}) - centi = one hundredth (.01) (10
^{-2}) - kilo = one thousand times (1000)(10
^{3}) - More metric prefixes

*Some prefixes on a number line*:

More in History of measurement

## Metric prefixes

Prefix | Symbol | Power |
---|---|---|

Quecca | Q | 10^{30} |

Ronna | R | 10^{27} |

Yotta | Y | 10 |

Zetta | Z | 10^{21} |

Exa | E | 10^{18} |

Peta | P | 10^{15} |

Tera | T | 10^{12} |

Giga | G | 10^{9} |

Mega | M | 10^{6} |

kilo | k | 10^{3} |

milli | m | 10^{-3} |

micro | μ | 10^{-6} |

nano | n | 10 |

pico | p | 10 |

femto | f | 10^{-15} |

atto | a | 10^{-18} |

zepto | z | 10^{-21} |

yocto | y | 10^{-24} |

ronto | r | 10^{-27} |

quecto | q | 10^{-30} |