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Metrics & Density

Metrics & Density. Topic: Metric System. Objectives: I will know how the metric system is based on powers of 10 I will understand the units of length, volume, and mass I will learn how to convert using the metric system. The Metric System.

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Metrics & Density

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  1. Metrics & Density

  2. Topic: Metric System Objectives: • I will know how the metric system is based on powers of 10 • I will understand the units of length, volume, and mass • I will learn how to convert using the metric system

  3. The Metric System • A measurement system based on units or powers of 10 • Meter measures length • Gram measures mass • Liter measures volume

  4. The Meter Stick Here is one meter stick shrunken down 40-50 = 1 decimeter With 10 centimeters inside 37-38 = 1 centimeter With 10 millimeters inside

  5. What is the Metric System? • A measurement system based on units or powers of ___ • ____ measures length • gram measures _____ • ____ measures volume Answer Bank Weighing meter Liter 1000 Space Volume 10 mass

  6. Each unit is 10 times Smaller or 10 times Larger!!!! • A meter is the basic unit of length in the metric system

  7. Each unit is 10 times Smaller or 10 times Larger!!!! 10 decimeters fit into one 1 meter

  8. Each unit is 10 times Smaller or 10 times Larger!!!! • 10 centimeters make up one decimeter

  9. Each unit is 10 times Smaller or 10 times Larger!!!! 100 centimeters = 1 meter

  10. How many millimeters make up 1meter? • 1000 millimeters make up one (1) meter!

  11. 10 millimeters can fit into 1 centimeter

  12. It takes 10 millimeters to make up 1 centimeter. Millimeters are so small that they almost run together.

  13. Divide by powers of 10! This is 1 meter (Remember 1 meter is much larger) 1 meter = 10 decimeters 1 meter = 100 centimeters 1 meter = 1000 millimeters

  14. Basic Units of the Metric System • Mass • When we mass or weigh something we use the gram • Length • When we measure distance or length, we use the meter • Volume • A measurement of how much space an object takes up and is measured by the liter

  15. The Meter • The meter is used to measure length and distance • A Kilometer is a 1000 meters and is similar in length to the mile

  16. What is the Meter? • The meter is used to measure ____ and distance Answer Bank Weighing Meter stuff Liter 1000 Space length Volume 10 mass

  17. The Gram • A gram is used to measure Mass • Mass is a measure how much stuff (or matter) the object is made of • We find mass by weighing the object

  18. What is the Gram? • A gram is used to measure____ • Mass is a measure how much _____ (or matter) the object is made of • We find mass by _____the object Answer Bank Weighing Meter stuff Liter 1000 Space length Volume 10 mass

  19. The Liter • A liter is used to measure Volume • Volume is how much space an object uses up

  20. What is a Liter? • A liter is used to measure______ • Volume is how much _____ an object uses up Answer Bank Weighing meter Liter stuff 1000 Space Volume 10 Mass length

  21. Notice: each unit is 10 times Larger or 10 times smaller

  22. Metric Step Ladder Basic Unit: Meter, Gram, Liter

  23. Length:Your house is 8 meters tall, how many millimeters tall is it? 8 Basic Unit: Meter, Gram, Liter 8,000 1 meter = 1000 millimeters 80000 Millimeters(mm) tall

  24. Length:Your bike is 2 meters in length, how many centimeters long is it? 2.0 Basic Unit: Meter, Gram, Liter 200.0 1 meter = 100 centimeters 2000 Centimeters(cm) long

  25. Mass:A paperclip weighs 7 grams, how many milligrams does it weigh? 7 Basic Unit: Meter, Gram, Liter 7,000 70000 Milligrams

  26. Volume:For breakfast, you drank 350 milliliters of orange juice, how many centiliters did you drink? Basic Unit: Meter, Gram, Liter 35.0 350.0 350 Centiliters(cL)

  27. Length:You drove 6500 meters on your way to school this morning, how many kilometers did you drive? 6.5 6500.0 Basic Unit: Meter, Gram, Liter 1 kilometer = 1000 meters 65000 Kilometers(km)

  28. Mass:Your backpack weighs 7 kilograms, how many grams does it weigh? 7.0 7000.0 Basic Unit: Meter, Gram, Liter 70000 Grams(g)

  29. Use the metric conversion ladder • 100 centimeters (cm) = ____ meters (m) • 1 kilometer (km) = ____ meters (m)

  30. 2000 milliLiters (mL) = _________ Liters (L) • 400 centigrams (cg) = __________ grams (g)

  31. 4.6 kilometers (km) = ___________ meters (m) • 12 centimeters (cm) = ___________ millimeters (mm)

  32. Summarize: • Metric system is a measurement system based on units or powers of____ • Meter measures____ • ____measures mass • ____measures volume • 1 km = _______meters • 1000 mm = ______meters • ____cm = 1 meter Answer Bank Gram 1000 1 liter 10 Length 100

  33. Topic: Density Objectives: • I will learn how to calculate volume by water displacement • I will understand the concept of density gi en mass and volume

  34. Volume • We use Volume when we want to find the capacity of something (how much liquid is inside) • Volume is measured is liters

  35. 2 ways we find volume: • For simple shapes, like cubes and spheres, we can calculate them through basic math • For example, to find the volume of a cube we measure the (Length x Width x Height) • But, we'll let math class teach you that

  36. 2 ways we find volume: • If something has an irregular shape, how do we find the volume of it? • The other way we find volume is by displacement

  37. Volume by Displacement • Let's say we want to find the volume of a rock • You can't exactly take out a ruler and measure it like you could a cube or triangle

  38. Volume by Displacement • Here's how you do it: • You drop the rock into water • Obviously, the water level will rise • But, by how much? • The amount it rises equals the volume of the rock

  39. Volume by Displacement • Submerging the object will cause the water level to rise • The amount it rises, equals the volume of the rock in Liters

  40. What is Volume by Displacement? • Method used to find volume of an ____shaped object • _____the object, will cause the water level to rise • The amount it rises, equals the volume of the rock in_____. Answer Bank mass Submerging Grams Volume Sinks Irregular 1 Liter(s) (2) floats

  41. Mass -When we mass something, we measure how much stuff (or matter) the object is made of -We find mass by weighing the object -Mass is measured in grams

  42. Mass • What has more mass? You or me? • In other words, who is made up of more stuff? You or me? • What has more mass? The earth or me?

  43. Density • Density measures how tightly matter is compacted • Density compares the mass of an object to its volume. • In the density expression, the mass of an object or substance is written in the numerator and its volume in the denominator. D = mass = g or g = g/cm3 volume mL cm3 Note: 1 mL = 1 cm3

  44. Density • Density measures how tightly matter is compacted • Lets imagine we have 2 cubes the same size • However, now let us imagine that one cube is made of lead, and the other is made of Foam • They both have the same size but which one is more dense? Lead Foam

  45. Density • The lead Cube is! • But why? • Well, it all has to do with how much stuff is packed into the same amount of space! Foam Lead

  46. Density • Let's look at these fish which are the same size • Even though they are the same size they all have different densities • They all have the same volume • But, each fish has a different masse

  47. Density • Each fish has a different mass, therefore each has a different weight • The reason has to do with how much stuff (matter) is packed into the same amount of space or volume The lead fish has the same volume, but, it contains more matter and therefore weighs more The wood fish has the same volume, but, it contains less matter and therefore weighs less

  48. What is Density? • Density measures how tightly matter is compacted • It compares the ____of an object to its _____. • Recall that mass is measured in ____ and volume is measured in ______ therefore the units of density are _____. D = mass = g or g = g/cm3 volume mL cm3 Note: 1 mL = 1 cm3 Answer Bank mass Submerging Grams Volume Sinks g/mL Irregular 1 Liter (2) floats

  49. Water and Density • If you had a cube, and each side was 1 cm, what would it’s volume be? • Length x Width x Height • Now let’s imagine this cube is empty • How much water would it take to fill it up? • 1cm x 1cm x 1cm= 1cm3 • As it turns out, it takes 1 milliliter occupies 1 cubic centimeter or cm3 • In other words, 1mL = 1 cm3 • This is nice, because it makes the density of water is equal to 1

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