slope objectives to understand what positive and negative slope look like to understand what zero...
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SLOPE
SLOPE
SLOPE
SLOPE
SLOPE
SLOPE
OBJECTIVESOBJECTIVES
TO UNDERSTAND WHAT POSITIVE AND TO UNDERSTAND WHAT POSITIVE AND NEGATIVE SLOPE LOOK LIKENEGATIVE SLOPE LOOK LIKE
TO UNDERSTAND WHAT ZERO AND TO UNDERSTAND WHAT ZERO AND UNDEFINED SLOPE LOOK LIKEUNDEFINED SLOPE LOOK LIKE
TO UNDERSTAND WHAT SLOPES OF 1 AND TO UNDERSTAND WHAT SLOPES OF 1 AND -1 LOOK LIKE-1 LOOK LIKE
TO UNDERSTAND WHAT SLOPES GREATER TO UNDERSTAND WHAT SLOPES GREATER AND LESS THAN 1 LOOK LIKEAND LESS THAN 1 LOOK LIKE
SLOPESLOPESometimes, on mountain roads, you’ll see signs warning cars and trucks about very steep hills.Often the sign uses a percent to show how steep (0% would be flat and 100% would be a cliff), and a picture to show whether it’s steep going up or down.
12%
5%
You can use the same idea to measure the steepness of a line.A line (like line a) that moves upward from left to right has a positive slope.A line (like line b) that moves downward from left to right has a negative slope.
a b
Positive slope
Negative slope
POSITIVE AND NEGATIVE POSITIVE AND NEGATIVE SLOPESLOPE
ZERO SLOPE AND ZERO SLOPE AND UNDEFINED SLOPEUNDEFINED SLOPE
If a line is flat from left to right or what we call horizontal, it has a slope of 0.If a line is straight up or down or what we call vertical, it has no slope, also known as an undefined slope.
Zero slope
Undefined slope
Y
X
A line with a slope of 1 will go up to the right and make angles of 45° with both axes on a square coordinate system.
A line with a slope of -1 will go up to the left and will also make angles of 45° with both axes on a square coordinate system.
Slope of 1
Slope of -1
SLOPES OF 1 AND -1SLOPES OF 1 AND -1
Y
X
Lines with a slope greater than 1 are steeper than lines with a slope of 1.Lines with a slope between 0 and 1 are less steep than lines with a slope of 1.It can be helpful to think of lines with a slope of 1 as the “middle case” between steeper and less steep.
Slope greater than 1.
Slope between 0 and 1.
SLOPES GREATER SLOPES GREATER AND LESS THAN 1AND LESS THAN 1
Question time!Question time!You will be given three lines to look at, and then answer the questions using the knowledge you have learned.
Y
X a
b
c
Which line has a NEGATIVE slope?
a
b
c
You can use the same idea to measure the steepness of a line.A line (like line a) that moves upward from left to right has a positive slope.A line (like line b) that moves downward from left to right has a negative slope.
a b
Positive slope
Negative slope
REMEMBER:REMEMBER:POSITIVE AND NEGATIVE SLOPEPOSITIVE AND NEGATIVE SLOPE
TRY AGAIN
REMEMBER:REMEMBER:ZERO SLOPE AND UNDEFINED SLOPEZERO SLOPE AND UNDEFINED SLOPE
If a line is flat from left to right or what we call horizontal, it has a slope of 0.If a line is straight up or down or what we call vertical, it has no slope, also known as an undefined slope.
Zero slope
Undefined slope
TRY AGAIN
Y
X
a
b
c
a
b
c
Which line has a slope of 1?
YOU ARE A SUPER SLOPE SLUETH! WELL DONE!
REMEMBER:REMEMBER:ZERO SLOPE AND UNDEFINED SLOPEZERO SLOPE AND UNDEFINED SLOPE
If a line is flat from left to right or what we call horizontal, it has a slope of 0.If a line is straight up or down or what we call vertical, it has no slope, also known as an undefined slope.
Zero slope
Undefined slope
TRY AGAIN
Y
X
A line with a slope of 1 will go up to the right and make angles of 45° with both axes on a square coordinate system.
A line with a slope of -1 will go up to the left and will also make angles of 45° with both axes on a square coordinate system.
Slope of 1
Slope of -1
REMEMBER:REMEMBER:SLOPES OF 1 AND -1SLOPES OF 1 AND -1
TRY AGAIN
Y
X
a
b
c
a
b
c
Which line has an UNDEFINED
slope?
SWEET SLOPE CHOICE!
You can use the same idea to measure the steepness of a line.A line (like line a) that moves upward from left to right has a positive slope.A line (like line b) that moves downward from left to right has a negative slope.
a b
Positive slope
Negative slope
REMEMBER:REMEMBER:POSITIVE AND NEGATIVE SLOPEPOSITIVE AND NEGATIVE SLOPE
TRY AGAIN
REMEMBER:REMEMBER:ZERO SLOPE AND UNDEFINED SLOPEZERO SLOPE AND UNDEFINED SLOPE
If a line is flat from left to right or what we call horizontal, it has a slope of 0.If a line is straight up or down or what we call vertical, it has no slope, also known as an undefined slope.
Zero slope
Undefined slope
TRY AGAIN
Y
X
a
b
c
a
b
c
Which line has a slope LESS
than 1?
SLOPETACULAR!
REMEMBER:REMEMBER:ZERO SLOPE AND UNDEFINED SLOPEZERO SLOPE AND UNDEFINED SLOPE
If a line is flat from left to right or what we call horizontal, it has a slope of 0.If a line is straight up or down or what we call vertical, it has no slope, also known as an undefined slope.
Zero slope
Undefined slope
TRY AGAIN
Y
X
Lines with a slope greater than 1 are steeper than lines with a slope of 1.Lines with a slope between 0 and 1 are less steep than lines with a slope of 1.It can be helpful to think of lines with a slope of 1 as the “middle case” between steeper and less steep.
Slope greater than 1.
Slope between 0 and 1.
REMEMBER:REMEMBER:SLOPES GREATER AND LESS THAN 1SLOPES GREATER AND LESS THAN 1
TRY AGAIN
Y
X
a
b
c
a
b
c
Which line has a POSITIVE
slope?
YOU ARE A SLICK SLOPESTER DUDE!
REMEMBER:REMEMBER:ZERO SLOPE AND UNDEFINED SLOPEZERO SLOPE AND UNDEFINED SLOPE
If a line is flat from left to right or what we call horizontal, it has a slope of 0.If a line is straight up or down or what we call vertical, it has no slope, also known as an undefined slope.
Zero slope
Undefined slope
TRY AGAIN
You can use the same idea to measure the steepness of a line.A line (like line a) that moves upward from left to right has a positive slope.A line (like line b) that moves downward from left to right has a negative slope.
a b
Positive slope
Negative slope
REMEMBER:REMEMBER:POSITIVE AND NEGATIVE SLOPEPOSITIVE AND NEGATIVE SLOPE
TRY AGAIN
Y
Xa
b
c
a
b
c
Which line has a slope of
ZERO?
SLOPESATIONAL!
You can use the same idea to measure the steepness of a line.A line (like line a) that moves upward from left to right has a positive slope.A line (like line b) that moves downward from left to right has a negative slope.
a b
Positive slope
Negative slope
REMEMBER:REMEMBER:POSITIVE AND NEGATIVE SLOPEPOSITIVE AND NEGATIVE SLOPE
TRY AGAIN
REMEMBER:REMEMBER:ZERO SLOPE AND UNDEFINED SLOPEZERO SLOPE AND UNDEFINED SLOPE
If a line is flat from left to right or what we call horizontal, it has a slope of 0.If a line is straight up or down or what we call vertical, it has no slope, also known as an undefined slope.
Zero slope
Undefined slope
TRY AGAIN
Y
Xa
b
c
a
b
c
Which line has a slope of -1?
STUPENDOUS SLOPE ACTION!
REMEMBER:REMEMBER:ZERO SLOPE AND UNDEFINED SLOPEZERO SLOPE AND UNDEFINED SLOPE
If a line is flat from left to right or what we call horizontal, it has a slope of 0.If a line is straight up or down or what we call vertical, it has no slope, also known as an undefined slope.
Zero slope
Undefined slope
TRY AGAIN
Y
X
A line with a slope of 1 will go up to the right and make angles of 45° with both axes on a square coordinate system.
A line with a slope of -1 will go up to the left and will also make angles of 45° with both axes on a square coordinate system.
Slope of 1
Slope of -1
REMEMBER:REMEMBER:SLOPES OF 1 AND -1SLOPES OF 1 AND -1
TRY AGAIN
Y
X
a
b
c
a
b
c
Which line has a slope GREATER
than 1?
YOU ARE A SMASHING SLOPE STUD!
You can use the same idea to measure the steepness of a line.A line (like line a) that moves upward from left to right has a positive slope.A line (like line b) that moves downward from left to right has a negative slope.
a b
Positive slope
Negative slope
REMEMBER:REMEMBER:POSITIVE AND NEGATIVE SLOPEPOSITIVE AND NEGATIVE SLOPE
TRY AGAIN
Y
X
Lines with a slope greater than 1 are steeper than lines with a slope of 1.Lines with a slope between 0 and 1 are less steep than lines with a slope of 1.It can be helpful to think of lines with a slope of 1 as the “middle case” between steeper and less steep.
Slope greater than 1.
Slope between 0 and 1.
REMEMBER:REMEMBER:SLOPES GREATER AND LESS THAN 1SLOPES GREATER AND LESS THAN 1
TRY AGAIN
Click here to return to the beginning
Click here to end the show.
CONGRATULATIONS YOU HAVE COMPLETED THE SUPER SLICK SLOPE STUDY
SYSTEM!You should now have a better understanding of positive and negative slope, zero slope and undefined slope, slopes of 1 and -1, and of slopes greater and less than 1.
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