Science Starter! Perform the following conversions and dimensional analysis problems. Reflect your...

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Transcript of Science Starter! Perform the following conversions and dimensional analysis problems. Reflect your...

Science Starter!Perform the following conversions and dimensional analysis problems. Reflect your answer in scientific

notation.

1)30 in mm2)50 mi/hr m/s

Graphing Basics

Parts of a Graph

Variable that is controlled in an experiment (x - axis)Variable that is controlled in an experiment (x - axis)

Variable that is measured during an experiment (y - axis)

Variable that is measured during an experiment (y - axis)

“Best Fit” Line“Best Fit” Line

Types of RelationshipsLINEAR

- Straight line

- Direct Relationship

- Equation: y = mx + b

Slope [Steepness of line] = (Y2 – Y1) or RISE (X2 – X1) RUN

Graphing Data

“X”[Ind.]

“Y”[Dep.]

10 5

14 520 1026 15

Etc. Etc.

Data Chart

- Determine the independent and dependent variables

Plot Data

- Place a dot at the intersection of the two variables

Calculating Slope 1. Choose any two points on the line of best fit:

(not data points)

EX: ( y = 15, x = 30) and ( y = 0, x = 0)

1. Calculate slope by dividing the difference in the “y” values by the difference in the “x” values:

EX: Slope = (15 – 0) (30 – 0)

Slope = 0.5

Enclosed Area 1. Shade in the region in question:

EX: Find the area enclosed by the line of best fit and the horizontal axis between x = 0 and x = 30.

2. Use geometry and the values on the axis (NOT number of blocks) to find the area of the shape made.

EX: A = ½ bh = ½ (30)(15) = 225

Non-Linear Graphs

# of bags # of Red Candies

0 0123456789

10

# of bags # of Red Candies

0 01 42 93 114 135 136 167 168 189 20

10 23

Area = ½ bh = ( ½ )(6)(14.5)

= 43.5