Wednesday, December 21, 2011
Friday, December 9, 2011
Math Skills 12-6 Compass and clock
Degrees around a compass circle, clockwise from 12 o'clock North
12:00 0 degrees 0/8 north
1:30 45 degrees 1/8 northeast
3:00 90 degrees 1/4 east
4:30 135 degrees 3/8 southeast
6:00 180 degrees 1/2 south
7:30 225 degrees 5/8 southwest
9:00 270 degrees 3/4 west
10:30 315 degrees 7/8 northwest
12:00 360 degrees 8/8 north
Degrees around a clock circle, clockwise from 12 o'clock
12:00 0 degrees 0/8 midnight or noon
1:00 30 degrees 1/12
2:00 60 degrees 1/6
3:00 90 degrees 1/4
4:00 120 degrees 1/3
5:00 150 degrees 5/12
6:00 180 degrees 1/2
7:00 210 degrees 7/12
8:00 240 degrees 2/3
9:00 270 degrees 3/4
10:00 300 degrees 5/6
11:00 330 degrees 11/12
12:00 360 degrees 12/12 noon or midnight
12:00 0 degrees 0/8 north
1:30 45 degrees 1/8 northeast
3:00 90 degrees 1/4 east
4:30 135 degrees 3/8 southeast
6:00 180 degrees 1/2 south
7:30 225 degrees 5/8 southwest
9:00 270 degrees 3/4 west
10:30 315 degrees 7/8 northwest
12:00 360 degrees 8/8 north
Degrees around a clock circle, clockwise from 12 o'clock
12:00 0 degrees 0/8 midnight or noon
1:00 30 degrees 1/12
2:00 60 degrees 1/6
3:00 90 degrees 1/4
4:00 120 degrees 1/3
5:00 150 degrees 5/12
6:00 180 degrees 1/2
7:00 210 degrees 7/12
8:00 240 degrees 2/3
9:00 270 degrees 3/4
10:00 300 degrees 5/6
11:00 330 degrees 11/12
12:00 360 degrees 12/12 noon or midnight
Thursday, December 8, 2011
12-8 Math Skills - Numerical pitch of Billie Jean notes
The bass riff to Billie Jean graphed as frequencies in Hz on the y-axis, and an internal field trip two floors down to investigate the pitches of piano notes.
Wednesday, December 7, 2011
12-2 notes - Point-slope form
Point-slope form is
y - ysub1 = m ( x - xsub1) where x and y are variables, and xsub1 and ysub1 are values from a given ordered pair, from a given point.
After substituting, distribute on the right and move -ysub1 from the left side to the right side. This isolates y on the left and leaves a slope times x term and a y-intercept term on the right.
y - ysub1 = m ( x - xsub1) where x and y are variables, and xsub1 and ysub1 are values from a given ordered pair, from a given point.
After substituting, distribute on the right and move -ysub1 from the left side to the right side. This isolates y on the left and leaves a slope times x term and a y-intercept term on the right.
12-6 Class notes - Standard form of a linear equation
( , ) indicates an ordered pair, contains an x and a y, suggests the shape of a point
( , ), ( , ) indicates two ordered pairs, has the four values needed to find a slope, suggests a line
m indicates a rate, a slope, a measure of slant, a rise over a run; m stands next to the x
b indicates the height above the origin, it's the y-intercept, it gives the point (0, b)
The slope-intercept form y = mx + b has the variable y by itself on one side of the = sign.
The standard form Ax + By = C has the constant C (a number) by itself on one side of the = sign.
A is the coefficient of x (a number that multiplies x)
B is the coefficeint of y (a number that multiplies y)
To change from slope-intercept form to standard form, isolate b, the y-intercept. Move the mx term to the other side of the equal sign.
To change from standard form to slope-intercept form, move the Ax term away from the By term. Divide both sides by B. m, the slope, will be -A/B and b, the y-intercept, will be C/B.
( , ), ( , ) indicates two ordered pairs, has the four values needed to find a slope, suggests a line
m indicates a rate, a slope, a measure of slant, a rise over a run; m stands next to the x
b indicates the height above the origin, it's the y-intercept, it gives the point (0, b)
The slope-intercept form y = mx + b has the variable y by itself on one side of the = sign.
The standard form Ax + By = C has the constant C (a number) by itself on one side of the = sign.
A is the coefficient of x (a number that multiplies x)
B is the coefficeint of y (a number that multiplies y)
To change from slope-intercept form to standard form, isolate b, the y-intercept. Move the mx term to the other side of the equal sign.
To change from standard form to slope-intercept form, move the Ax term away from the By term. Divide both sides by B. m, the slope, will be -A/B and b, the y-intercept, will be C/B.
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