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Published by亿璨 寿 Modified over 5 years ago
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Rational numbers Can be fractions, decimals, negatives, etc.
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Irrational numbers ∏ or square roots that come out with decimals that go on and on without a pattern
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Integers Negatives or positive whole numbers, but can’t have fractions or decimals
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Scientific notation Put calculator in scientific notation and write it x 104 (or whatever exponent it gives you)
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Slope on a graph Count rise run
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Slope on a table Find two points on the table. Put as ordered pairs. Do y2-y1 x2-x1
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m slope
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b y-intercept
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Where a line crosses the y-axis
Y-intercept Where a line crosses the y-axis
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Direct variation y x
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Constant of proportionality
y x
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Proportional relationships No add or subtract. Goes through origin.
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Non-Proportional relationships
Can have add or subtract. Doesn’t go through origin.
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Solving Equations Start on the right, do the opposite of x, now on the left, do the opposite of number
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Where 2 lines cross on a coordinate plane (systems of equations)
Enter in both equations on y= screen. Grpah. 2nd trace 5 enter enter enter
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The same x with two different y’s is a no, no no!!
Functions The same x with two different y’s is a no, no no!!
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Positive correlation
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Negative correlation
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No correlation
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To make prediction on a scatterplot
Draw trend line and trace the number on one axis to the trend line. Then go to other axis.
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Orientation preserved Directions of shape stays the same
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Size and shape stays the same
Congruence preserved Size and shape stays the same
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Flip Reflection Over x-axis: (x, y) (x, -y)
Over y-axis: (x, y) (-x, y)
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Translation Slide (x, y) (x + a, x + b)
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Rotation Turn 90o clockwise: (x, y) (y ,-x)
180o clockwise: (x, y) (-x, -y) 270o clockwise: (x, y) (-y , x)
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Dilation To change the size of a shape (enlarge or reduce) (x, y) (fx ,fy)
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Same angles. Proportional sides.
Similar figures Same angles. Proportional sides.
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Scale factor Image Pre-image
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Area of Dilation Area x scale factor2
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Perimeter of Dilation Perimeter x scale factor
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Missing side of right triangle
Pythagorean Theorem
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Diagonal Pythagorean Theorem
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Shadow problems or map problems
Pythagorean Theorem
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Same-side interior Supplementary
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Alternate exterior Congruent
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Vertical Angles Congruent
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Alternate interior Congruent
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Adjacent Supplementary
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Missing angle of a triangle
Add up. Subtract from 180
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Two remote interior angles of triangle
Add up to equal to exterior angle.
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Pour, fill, units3 Volume
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B Area of base (must use formula)
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P Perimeter of base (draw picture of base)
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Cover, wrap, paint, etc. Surface Area
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Total Surface Area Entire object
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Only the sides, not the bases
Lateral Surface Area Only the sides, not the bases
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Mean Absolute Deviation
Find the mean (average) of a set of data. Subtract to find difference in each piece of data from the mean you found (no negative answers). Average this next set of answers.
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