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Science Starter! Perform the following conversions and dimensional analysis problems. Reflect your answer in scientific notation. 1)30 in mm 2)50 mi/hr m/s

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Science Starter! Perform the following conversions and dimensional analysis problems. Reflect your answer in scientific notation. 30 in  mm 12 cm  mi 50 mi/hr  m/s 25 ft /s  cm/ hr. Graphing Basics. Parts of a Graph. “Best Fit” Line. - PowerPoint PPT Presentation

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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