1. SCIENCE SKILLS

2. Chapter Two: Science Skills
2.1 Mass and Volume
2.2 Density
2.3 Graphing
2.4 Solving Problems

3. Section 2.1 Learning Goals
Explain the meaning of mass and describe the units for measuring mass.
Distinguish between mass and weight.
Define volume and explain how the volume of matter is measured.

4. Measuring Mass and Volume
Investigation 2A
Measuring Mass and Volume
Key Question:
How do you measure mass and volume?

5. 2.1 Measuring mass Mass describes the amount of matter in an object.
The SI unit for mass is the kilogram (kg).
The kilogram is too large a unit to be convenient for small masses.
Bananas = 1000 g
Cat = 5000 g
Person = 55000
Motorcycle = 200,000
One gram (g) is one-thousandth of a kilogram.
What is the estimated mass of ONE zinc nut?

6. 2.1 Matter Matter is anything that has mass and takes up space.
All matter has mass.
Steel, plastic, rubber, and glass are different kinds of matter.
Bananas = 1000 g
Cat = 5000 g
Person = 55000
Motorcycle = 200,000
A car has a lot more of each kind of matter than a bike.

8. 2.1 Mass and weight are different
We tend to use the terms mass and weight interchangeably, but they are not the same thing.
Mass is the amount of matter in an object.
Weight is a measure of the pulling force of gravity on an object.

9. 2.1 Mass and weight are different
A 2.3 kg bag of flour has a mass of 2.3 kilograms no matter where it is in the universe.
The weight of the bag of flour is less on the moon.
The 5 lb bag of flour on Earth weighs only .8 lbs on the moon!

11. 2.1 Volume
Volume is the amount of space an object takes up.
The fundamental unit of volume in SI is the cubic meter (m3).
More convenient smaller units are cubic centimeters (cc or cm3), liters (L) and milliliters (mL).

12. 2.1 Volume Measuring the volume of liquids is easy.
Pour the liquid into a graduated cylinder and read the meniscus at eye level.

13. 2.1 Displacement
You can find the volume of an irregular shape using a technique called displacement.
Put the irregularly shaped object in water and measuring the amount of water displaced.

14. 2.1 Comparing mass and volume
Mass and volume are two different properties of matter.
Size does not always indicate an object’s mass!
How the matter is packed into space is more important.

15. Chapter Two: Science Skills
2.1 Mass and Volume
2.2 Density
2.3 Graphing
2.4 Solving Problems

16. Section 2.2 Learning Goals
Define density in terms of mass and volume.
Identify units used to express the density of materials.
Apply the density formula to solve problems.

17. Density Investigation 2B Key Question:
How is an object’s density related to its volume, mass, and tendency to sink or float?

18. 2.2 Density
Density describes how much mass is in a given volume of a material.

20. 2.2 Density
Solids, liquids and gases are matter, so they all have density.
The density of water is about one gram per cubic centimeter.

21. 2.2 Density
The units used for density depend on whether the substance is solid or liquid.
For liquids use units of grams per milliliter (g/mL)
For solids use density in units of g/cm3 or kg/m3.

23. 2.2 Density of common materials
Density is a property of material independent of quantity or shape.

24. 2.2 Density of common materials
Liquids tend to be less dense than solids of the same material.
Ex. solder (“sodder)

25. 2.2 Density of common materials
Water is an exception to this rule.
The density of solid water (ice) is less than the density of liquid water.

26. 2.2 Determining Density
To find the density of a material, you need to know the mass and volume of a solid sample of the material.
Mass is measured with a balance or scale.
Use the displacement method or calculate the volume.

27. 2.2 Density Density changes for different substances because:
Atoms have different masses.
Atoms may be “packed” tightly or loosely.

29. Calculating Density Looking for: Given: Relationship: Solution:
Solving Problems
Calculating Density
Looking for:
…the density of the candle
Given:
…mass = 1500 g; volume = 1700 mL
Relationship:
D = m/V
Solution:
1,500 g ÷ 1,700 mL = g/mL
# Sig. fig = .88 g/mL

30. Chapter Two: Science Skills
2.1 Mass and Volume
2.2 Density
2.3 Graphing
2.4 Solving Problems

31. Section 2.3 Learning Goals
Use graphs to create a visual representation of data.
Analyze trends on a graph.
Explain the difference between a direct relationship and an inverse relationship.

32. Thickness of Aluminum Foil
Investigation 2C
Thickness of Aluminum Foil
Key Question:
What is the thickness of aluminum foil?

33. 2.3 Graphing A graph is a visual way to organize data.
A scatterplot or XY graph is used to see if two variables are related.

34. 2.3 Graphing
A bar graph compares data grouped by a name or category.

35. 2.3 Graphing
A pie graph shows the amount each part makes of up of the whole (100%).

36. 2.3 Graphing
A “connect-the-dots” line graph is often used to show trends in data over time.

38. 2.3 How to make an XY graph
Scatterplots show how a change in one variable influences another variable.
The independent variable is the variable you believe might influence another variable.
The dependent variable is the variable that you hope will change as a result of the experiment.

39. 2.3 How to make an XY graph Pressure is critical to safe diving.
How does an increase in depth affect the pressure?
What sort of graph would best show the relationship between pressure and depth?

40. 2.3 How to make an XY graph Choose x and y-axis Make a scale
Depth is the independent variable = x axis
Pressure is the dependent variable = y axis
Make a scale
Most graphs use ones, twos, fives or tens
OR calculate the value per box
Plot your data
Create a title
* Exception- when time is a variable

42. 2.3 Identifying graph relationships
In a direct relationship, when one variable increases, so does the other.
The speed and distance variables show a direct relationship.

43. 2.3 Identifying graph relationships
When there is no relationship the graph looks like a collection of dots.
No pattern appears.

44. 2.3 Identifying graph relationships
In an inverse relationship, when one variable increases, the other decreases.

46. 2.3 Reading a graph What is the speed of the car at 50 cm?
Find the known value on the x axis
Position = 50 cm
Draw a line vertically upward from 50 cm until it hits the curve.
Draw a line across horizontally to the y- axis from the same place on the curve.
Read the speed using the y axis scale.
Speed = 76 cm/s

47. Chapter Two: Science Skills
2.1 Mass and Volume
2.2 Density
2.3 Graphing
2.4 Solving Problems

48. Section 2.4 Learning Goals
Apply a four-step technique to solve problems.
Use the design cycle to solve problems.

50. 2.4 Solving Problems

51. Calculate marble’s volume & density Looking for: Givens:
Solving Problems
Calculate marble’s volume & density
Looking for:
volume, then density
Givens:
mass = 6 g , water displaced 30 to 32 mL
Relationships:
water displaced = marble volume, D = m/V
Solution:
32 mL – 30 mL = 2 mL
D = 6 g / 2 mL
= 3 g/mL

52. 2.4 How to solve design problems
Use what you know to design a solution that solves the problem.
Unlike “formula problems,” design problems have many correct solutions.
The solutions are only limited by your creativity, ingenuity, skill, and patience.

53. 2.4 How to solve design problems
What does your design need to accomplish?
What constraints do you have?
Think of an idea.
Follow the design cycle…

54. Density and Ocean Currents
Did you know that there are underwater waterfalls in the ocean?
While it may seem strange for water to fall through water, it really happens due to density differences in ocean water coming from different sources.