ASSOCIATED WITH MOUNTAINS . T HE SLOPE WE ARE STUDYING IS ASSOCIATED - - PowerPoint PPT Presentation

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ASSOCIATED WITH MOUNTAINS . T HE SLOPE WE ARE STUDYING IS ASSOCIATED - - PowerPoint PPT Presentation

Jan 23, 2024 107 likes •507 views

D AY 21 S LOPE S LOPES ARE COMMONLY ASSOCIATED WITH MOUNTAINS . T HE SLOPE WE ARE STUDYING IS ASSOCIATED WITH THE GRAPH OF A LINE . D EFINITIONS OF S LOPE The tilt or inclination of a line The ratio of vertical change to horizontal

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DAY 21 – SLOPE

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SLOPES ARE COMMONLY

ASSOCIATED WITH MOUNTAINS.

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SLIDE 3

THE SLOPE WE ARE STUDYING IS

ASSOCIATED WITH THE GRAPH OF A LINE.

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DEFINITIONS OF SLOPE

 The tilt or inclination of a line  The ratio of vertical change to horizontal change.  The change in y over the change in x

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SLIDE 5

TILT OR INCLINATION

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SLIDE 6

VERTICAL CHANGE HORIZONTAL CHANGE This ratio is also known as 𝑺𝒋𝒕𝒇 𝑺𝒗𝒐

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SLIDE 7

HOW MANY POINTS DO YOU NEED TO

DRAW A LINE?

 One  Two  Three

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SLIDE 8

GRAPH (3,2) AND (-1,-1)

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SLIDE 9

DRAW A LINE THROUGH THE POINTS.

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NOW THAT WE HAVE OUR LINE LETS FIND

ITS SLOPE.

Remember we are finding the following ratio: Vertical

  • r

Rise Horizontal Run

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SLIDE 11

VERTICAL CHANGE

OR THE RISE

3

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SLIDE 12

HORIZONTAL CHANGE

OR THE RUN

4 3

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SLIDE 13

VERTICAL RISE HORIZONTAL RUN 3 4

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SLIDE 14

FIND THE SLOPE OF THE FOLLOWING LINE.

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SLIDE 15

THE SLOPE IS… 1 2

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SLIDE 16

FIND THE SLOPE OF THE LINE.

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SLIDE 17

THE SLOPE IS….

  • 3
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SLIDE 18

FIND THE SLOPE OF THESE LINES.

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SLIDE 19

THE SLOPE IS…

Black line = 3 Red Line = 1

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SLIDE 20

FIND THE SLOPE OF THESE LINES

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SLIDE 21

THE SLOPE IS…

 Orange line  Green Line

Undefined

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SLIDE 22

LET’S DRAW A LINE USING

SLOPE.

What else do you think you need besides the slope in order to draw a line? A point!

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SLIDE 23

IF YOU KNOW THE SLOPE AND ONE POINT

ON THE LINE YOU CAN DRAW THE LINE.

EXAMPLE: SLOPE IS 1/3 AND THE POINT (-2,- 1)

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SLIDE 24

NOW YOU DRAW A LINE.

Given: slope is 2/3 and the

point is (1,0)

Given: slope is –3 and the

point is (–2,4) lope is 1 and the point is (2,3)

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SLIDE 25

THE GRAPHS ARE…

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SLIDE 26

STUDENT ACTIVITY

You will now receive a

  • worksheet. You are to find the

slope of a line and draw a line given the slope and a point. Turn the worksheet in when completed.

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SLIDE 27

WORK TIME

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SLIDE 28

1/2

  • 2/3
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SLIDE 29

1/2

  • 3
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SLIDE 30
  • 1

1

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SLIDE 31

undefined

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SLIDE 32

Given a point and a slope draw the line.

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SLIDE 33
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SLIDE 34
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SLIDE 35
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SLIDE 36

CHANGE IN Y OVER THE

CHANGE IN X The formula for finding the slope of a line.

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SLIDE 37

CLASS ACTIVITY

Click on the following link for slope practice.

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SLIDE 38

CLOS

OSIN ING ACTI CTIVITY VITY

You will receive a second

  • worksheet. Given 2 points,

find the slope using the slope

  • formula. You will turn in the

worksheet.