Unit 1 Notes: Graphing & Density
(1) Density: The amount of particles packed into a given amount of space. The amount of MASS in a given VOLUME. Mass is measured in Grams (g). Volume is measured in Milliliters (mL). Density is measured in g/mL . Math Equation: D = M / V
(2) Density Examples: A 30.0 33.0 5.0 B 35.0 8.0 C 36.0 10.0 D 43.0 Object Volume of Water Alone (mL) Volume of Water with Object (mL) Volume of Object Alone (mL) Mass of Object (g) Density of Object A 30.0 33.0 5.0 B 35.0 8.0 C 36.0 10.0 D 43.0 13.0
(3) Graph Variables: Independent Variable: Dependent Variable: Always on X-Axis. It was Volume in our lab. It is what YOU change in a lab. Dependent Variable: Always on the Y-Axis. It was the Mass in our lab. It is what changes as a RESULT of the independent variable.
(4) Graph Relationships: Linear Relationship: As one variable increases, so does the other variable. Directly Proportional Relationship: As one variable increases, the other does by the SAME AMOUNT. The Mass and Volume of different objects are “Directly Proportional” when their DENSITIES ARE THE SAME. Inverse Relationship: As one variable increases, the other decreases.
(5) Relationship Example #1: Object Volume of Water Alone (mL) Volume of Water with Object (mL) Volume of Object Alone (mL) Mass of Object (g) Density of Object A 30.0 33.0 3.0 5.0 1.6 g/mL B 35.0 8.0 C 36.0 6.0 10.0 D 43.0 13.0 Does this data show a: Linear Relationship? Why? Directly Proportional Relationship? Why?
(6) Relationship Example #2: Object Volume of Water Alone (mL) Volume of Water with Object (mL) Volume of Object Alone (mL) Mass of Object (g) Density of Object A 30.0 33.0 5.0 B 37.0 8.0 C 41.0 10.0 D 35.0 43.0 14.0 Does this data show a: Linear Relationship? Why? Directly Proportional Relationship? Why?
(7) Relationship Example #3: Which types of relationships are shown in these graphs?