Scaling

Learning Objectives:

	Describe how changes in the dimensions of an object affect the object's area, volume, and weight
	Apply proportion laws
	Calculate Margins of Error
	Identify data with direct proportions and inverse proportions.
	Identify graphs of data for linear, inverse, and parabolic relationships.

Equipment:

Graph paper, 1/2 meter sticks, micrometers, modeling clay, balance, graduated cylinders (50ml, 100ml, 500ml & 1000ml).

Procedure:

Record your data on the Scaling Data Collection Tool as you perform the procedure.

Area of a Square

1. Each student should draw a square on the graph paper, using a meter stick, with sides that measures 3.0 cm.

Count the number of boxes per side, and record the number in Part I (line 3) of the Data Collection Tool.

Count the number of boxes within the area of the square, and record the number in Part I (line 4) of the Data Collection Tool.

All students as a class: Determine and record the relationship between the # boxes in the area and the # cm in the side. For example:

(# boxes in area) / (# cm in side)²

2. Using the class ratio: predict the area for the other cm squares (1, 2, 4, 5, & 6).

	Record the predicted # boxes per side and then predict the # boxes in the area for all squares.
	Each student should select a new size cm square.
	Draw your assigned square.
	Share your actual data with other groups and record their actual measurements.

Mass of a Cube

1. Each group should create a 3 cm cube with modeling clay. Keep this cube for volume measurements.

Weigh the cube, record your result in Part II, and share your result with other groups.

Use your calculator to Average the masses.

Determine and record the margin of error using the following formula:

(Largest Value - Smallest Value)/Average

All students as a class: Determine and record a ratio that describes the relationship between the mass of the cube and the # cm in the side.

2. Using the class ratio: predict the mass for the other cubes and record in Part II.

	Each group should select and mold a new cube.
	Weigh your assigned cube.
	Record the actual mass of the cube and the actual mass + margin.
	Share your actual data with other groups and record their actual measurements.

Displacement of a Cube

1. Each group should measure the volume of displacement by the 3 cm cube.

	Partially fill a graduated cylinder with water.
	Tie thread to your cube and sink it.
	Record the volume of water it displaced.
	Average the volumes.
	Determine the margin of error.
	All students as a class: Determine the ratio which will be used to predict the volume of displacement by other cubes.

2. Using the class ratio: predict the volume of displacement for the other cubes.

	Each group should measure the volume displaced by their second cube.
	Record the actual volume for your assigned cube.
	Share your results and complete the data table as a group.

3. Print the entire workbook for the Scaling Data Collection Tool.

4. Print and complete the PHY111 Homework Assignment.

Homework and Lab Report are both due at the next class.