Why might you need to know the metric

Why might you need to know the metric system? How can math help me understand my world? By Shelley, Lynn, Matt, and Trevor Mrs. Shott 6 th period

Millimeters and Centimeters n n A millimeter is the length of the period at the end of this sentence. A centimeter is the length of a raison, or the width of your pinky finger.

Millimeters and Centimeters n n n Millimeter is written mm. Centimeter is written cm. A millimeter is = 0. 001 meters (1/1000 meter) A centimeter is = 0. 01 meters (1/100 meter) Both measurements are used to measure length. Both are used to measure items that are not too large.

Actual Measuring length of calculator = 14 cm width of pencil = 7 mm width of the structure between the cubby = 2. 5 cm thickness of the orange math book = 3 cm

Problem Solving With Centimeters and Millimeters Problem Two kids went to the roller rink. One was a guy, and the other was a girl. At this particular roller skating rink, for some odd reason, the guys all have to add 7 centimeters to their actual shoe size, and girls have to add 75 millimeters. Can You Solve It? If Rob’s shoe was 260 mm regularly, and Sarah’s was 30 cm, how much bigger will Sarah’s roller skates be than Rob’s? State your answer in centimeters and millimeters.

Solution To The Problem Sarah’s Shoe = 30 cm Rob’s Shoe = 260 mm To solve the problem, the first thing you need to do is convert each shoe size to the proper measurement being used. I changed Rob’s 260 mm to 26 cm since I was adding cm to it, not mm; and I changed Sarah’s 30 cm to 300 mm. I then added the correct additional measurement required by the roller rink. Rob’s shoe ended up being 33 cm, or 330 mm, and Sarah’s was 375 mm, or 37. 5 cm. I then subtracted to find out how much bigger Sarah’s shoe was than Rob’s. The correct answer is 4. 2 cm, 42 mm.

Why We Need to Know Millimeters and Centimeters? • Some items are too small to be measured in feet and inches, so we need to know and understanding how to use cm and mm. • To make sure parts fit perfectly together, they are made and sold using metric measures. If you want to buy the right part at the hardware store, you better know your millimeters and centimeters. • If you ever want custom sunglasses you will need to know the width and length in cm. • In some countries, like Japan, shoes are measured using centimeters. • Pencil lead is made using the mm measurement. If you want the right lead, you better know how to measure in millimeters. • If you plan to be an optometrist when you grow up, you will need to know these metrics measurements.

Meters and Kilometers n n Meters Written m 1000 m= 1 km 100 cm= 1 m One meter is the length of 4 world book volumes stacked on top of each other. n n n Kilometers Written km 1 km=1000 m Length of 5 city blocks. One Meter

Actual Measuring door height = 2 m Table Length = 1. 81 m Whiteboard length= 2. 43 m trash can height =. 38 m map =700 m

Problem Solving With Meters and Kilometers Problem Ben was running a marathon. He has ran 1500 m already. 1 km is about 5 city blocks. The race was 5. 5 km long. Can You Solve It? How many more blocks does he have to run?

Solution To The Problem First change 5. 5 km into 5500 m. Next subtract 1500 from 5500 and you get 4000 m. Change 4000 m. back into 4 km. Then multiply 4 by 5 (blocks) to get 20. Ben needs to run 20 more blocks. 1 Kilometer

Why We Need to Know Meters and Kilometers You need these units of measurement to: Figure out travel distance from location to location in almost every country of the world. Find the altitude of a plane. Understand distances related to sporting events because they are measured using meters and kilometers.

Grams and Kilograms • A gram is written as g. • A kilogram is written as kg. • There are 1, 000 milligrams in a gram • There are 1, 000 grams in one kilogram • A gram has a mass of a jellybean • A kilogram has a mass of a cantaloupe

Actual Measuring 1 Cantaloupe is equal to 1 kilogram. 1 jellybean is equal to 1 gram.

Problem Solving With Grams and Kilograms Problem Mike is having an Easter egg hunt. He buys 300 plastic eggs all together. Some eggs hold 5 grams of jellybeans. Some egg hold 10 grams of jellybeans. Mike purchased 2 kilograms of jellybeans to fill the eggs. Can You Solve It? How many 5 gram-size plastic eggs did Mike buy, and how any 10 gram-size plastic Easter eggs did Mike buy?

5 gram Easter egg Jellybeans (5) 10 gram Easter egg Jellybeans (10)

Solution To The Problem 5 times the number of eggs 10 times the number of eggs 5 x+10 y=2, 000 x+y=300 plastic Easter eggs 5(300 -y)+10 y=2000 -y 1500 -5 y+10 y=2000 x=300 -y 1500+5 y=2000 -1500 5 y=500 5 5 y=100 -y

Why We Need to Know Grams and Kilograms • To know how much fat and sodium is in our food and understand other nutritional facts found on food labels • To figure out the total price we will need to pay for produce or other items that are sold by price per gram. • So that we know just how much weight we have gained or lost between hospital or doctor’s office visits.

Liter and Celsius n n Liter is written as l Celsius is written °C 1 liter is the same as half of a 2 liter bottle of soda Celsius is the system countries outside of the US use to measure temperature

Actual Measuring This holds 250 Milliliters o 0 Celsius 0 5 Celsius

Problem Solving With Liters Problem Kristi is irrigating her garden. She needs 100. 25 kiloliters of water. She uses 30, 000 liters of water. Can You Solve It? Will that much water be enough?

Problem Solving With Celsius Problem Mary has a thermometer on her front porch. She checked it every day for four days. The first day the temperature was 20°C, the second day the temperature was 25°C, the third day the temperature was 27°C, the fourth day the temperature was 24°C. Can You Solve It? What was the average temperature for the four days?

Solution To The Problems n n Problem #1 - Since Kristi needs 100. 25 kiloliters of water she didn’t use enough. To find the answer you multiply 100. 25 by 1000 because there are 1000 liters in a kiloliter. Kristi only used 30, 000 liters when she needed 100, 250 liters of water. Problem #2 - To find the average temperature of the four days you add together the four temperatures from the four days. 20+25+27+24 = 96. Then you divide by the number of temperatures you have (4) and you get the average temperature. 96/4 = 24 The average temperature for the 4 days is 24°C.

Why We Need to Know Liters and Celsius • • • The Celsius degree is commonly used among scientists. In most of the other parts of the world Celsius is the main unit of temperature. Liters are used in the medical field and among scientists. Liters are also very common in the United States and other parts of the world. In order to know just how much of any liquid medicine to take, you need to know how to measure in milliliters.

How Do We Measure Up? Shelley’s smile is 7 cm long. The shoulder widths for Lynn, Matt, and Shelley range from 30 -36 cm. Trevor’s legs are about 77 cm long. Lynn weighs 47 kilograms.

How Can Math Help Me Understand My World? n n Math is everywhere; and in order to really understand the world, you need to know math. Measurement is math and measurement is everywhere as well. Every time you read a food label, follow a recipe, watch the weather report, print out driving directions, hop on the scale, or participate in a sporting event – math and measurement are involved. Understanding math and measurement can help you figure out or make decisions like: n n n n whether or not you are getting enough vitamins and minerals in your diet how to double a recipe what clothes you should wear based on the outdoor temperature whether or not you have a fever How much further you have to go before you arrive at your destination Which golf club you should use on your next shot If you understand math and measurement, life and the world around you is so much easier to figure out!