Do Now 5/18/11 Take out HW from last night. Take out HW from last night. Punchline worksheets #115...

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