Do Now 5/18/11Do Now 5/18/11 Take out HW from last night.Take out HW from last night.
Punchline worksheets #115 & 116.Punchline worksheets #115 & 116.
Copy HW in your planner.Copy HW in your planner. Text p. 479, #8-18 evens, 19-22 all, 28-32 evens & 44Text p. 479, #8-18 evens, 19-22 all, 28-32 evens & 44 Quiz sections 9.3 & 9.5 FridayQuiz sections 9.3 & 9.5 Friday
In your journal, find the following regarding In your journal, find the following regarding points on a coordinate plane. points on a coordinate plane. What is the distance between the two points (2, 3) & What is the distance between the two points (2, 3) &
(2, 7)?(2, 7)? What is the distance between the two points (2, 3) & (-What is the distance between the two points (2, 3) & (-
5, 3)?5, 3)? What is the distance between the two points (2, 7) & (-What is the distance between the two points (2, 7) & (-
5, 3)?5, 3)?
HomeworkHomeworkPunchline worksheets 115 Punchline worksheets 115
& 116& 116
Did You Hear About…Did You Hear About…
THE MATH STUDENT WHO WALKED AROUND A THE MATH STUDENT WHO WALKED AROUND A CITY BLOCK BY TAKING A SQUARE ROUTE?CITY BLOCK BY TAKING A SQUARE ROUTE?
Where Does the Scent of a Lady’s Perfume Go?Where Does the Scent of a Lady’s Perfume Go?
NO ONE NOSENO ONE NOSE
Coordinate PlaneCoordinate Planey-axisy-axis
x-axisx-axis
OriginOrigin (0,0)(0,0)
Quadrant IQuadrant I(+,+)(+,+)
Quadrant IIQuadrant II(-,+)(-,+)
Quadrant IIIQuadrant III(-,-)(-,-)
Quadrant IVQuadrant IV(+,-)(+,-)
Remember this???
Remember this???
11
22
33
44
55
00 11 22 33 44 55 66
Plotting PointsPlotting Points
y-axisy-axis
x-axisx-axis
((22,,44))
((22,,-3-3))
((-3-3,,44))
orderedorderedpairpair
-6-6 -5-5 -4-4 -3-3 -2-2 -1-1
-5-5
-4-4
-3-3
-2-2
-1-1
((-6-6,,-4-4))
AA
BB
CC
DD
Remember this???
Remember this???
11
22
33
44
55
00 11 22 33 44 55 66
Describe the Location of Each Point.Describe the Location of Each Point.
y-axisy-axis
x-axisx-axis
Quadrant 1Quadrant 1
Quadrant 4Quadrant 4
Quadrant 2Quadrant 2
-6-6 -5-5 -4-4 -3-3 -2-2 -1-1
-5-5
-4-4
-3-3
-2-2
-1-1
Quadrant 3Quadrant 3
AA
BB
CC
DD
y-axisy-axis
EE
x-axisx-axis
FF
Remember this???
Remember this???
ObjectiveObjective
SWBAT find the distance SWBAT find the distance between two pointsbetween two points
SWBAT find the midpoint of a SWBAT find the midpoint of a line segmentline segment
11
22
33
44
55
00 11 22 33 44 55 66
y-axisy-axis
x-axisx-axis
((22,,44))
((22,,-3-3))
((-3-3,,44))
What is the distance between points A and B?What is the distance between points A and B?
-6-6 -5-5 -4-4 -3-3 -2-2 -1-1
-5-5
-4-4
-3-3
-2-2
-1-1
AA
BB
CC
7 units7 units
11
22
33
44
55
00 11 22 33 44 55 66
y-axisy-axis
x-axisx-axis
((22,,44))
((22,,-3-3))
((-3-3,,44))
What is the distance between points C and A?What is the distance between points C and A?
-6-6 -5-5 -4-4 -3-3 -2-2 -1-1
-5-5
-4-4
-3-3
-2-2
-1-1
AA
BB
CC
5 units
11
22
33
44
55
00 11 22 33 44 55 66
y-axisy-axis
x-axisx-axis
((22,,44))
((22,,-3-3))
((-3-3,,44))
What is the distance between points C and B?What is the distance between points C and B?
-6-6 -5-5 -4-4 -3-3 -2-2 -1-1
-5-5
-4-4
-3-3
-2-2
-1-1
AA
BB
CC
Section 9.5 “The Distance Section 9.5 “The Distance and Midpoint Formulas”and Midpoint Formulas”
Distance FormulaDistance Formula
),(),( 2211 yxandyx
212
212 )()( yyxxd
To find the distance between two points
yy
xx
),( 11 yx
),( 22 yx
Find the distance between Find the distance between (6,3) and (5,7)(6,3) and (5,7)
)7,5(),(
)3,6(),(
22
11
yxLet
yxLet 212
212 )()( yyxxd
22 )37()65( d
22 )4()1( d
161d
1.4
17
d
d
Find the distance between (-Find the distance between (-1,3) and (5,2)1,3) and (5,2)
)2,5(),(
)3,1(),(
22
11
yxLet
yxLet 212
212 )()( yyxxd
22 )32())1(5( d
22 )1()6( d
136d
1.6
37
d
d
Section 9.5 “The Distance Section 9.5 “The Distance and Midpoint Formulas”and Midpoint Formulas”
Midpoint FormulaMidpoint Formula
2,
22121 yyxx
The midpoint (middle point) between two points can be found by:
yy
xx
),( 11 yx
),( 22 yx
Find the midpoint of a line Find the midpoint of a line segment segment
with endpoints (-1,-2) and (3,-4)with endpoints (-1,-2) and (3,-4)
2
)4(2,
2
31
)4,3(),(
)2,1(),(
22
11
yxLet
yxLet
2,
22121 yyxx
2
6,2
2 3,1
Find the midpoint of a line Find the midpoint of a line segment segment
with endpoints (6,-3) and (4,-7)with endpoints (6,-3) and (4,-7)
2
)7(3,
2
46
)7,4(),(
)3,6(),(
22
11
yxLet
yxLet
2,
22121 yyxx
2
10,
2
10 5,5
Text p. 479, #8-18 evens, 19-22 all, 28-32 evens & 44Text p. 479, #8-18 evens, 19-22 all, 28-32 evens & 44
HomeworkHomework