## GlossaryT.Slope History

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[]LFS - contact - website

[]LFS - contact - website

[]Freeware - Available for Offline and Online Use - Translatable (html)

[]Freeware - Available for School and Offline and Online Use - Translatable (html)

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ans-odg

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Introduction to Slopes 1.1 - Mathcast: Money in the Bank

Introduction to Slopes 1.1 - Mathcast: Money in the Bank

Introduction to Slopes 1.2 - Mathcast: More Positive

Introduction to Slopes 1.3 - Mathcast: Slope & Speed

Introduction to Slopes 1.2 - Mathcast: More Positive

Introduction to Slopes 1.3 - Mathcast: Slope & Speed

Introduction to Slopes 1.4 - Mathcast: Formula for Slope

Introduction to Slopes 1.5 - Mathcast: Calculating Slope

Introduction to Slopes 1.4 - Mathcast: Formula for Slope

Introduction to Slopes 1.5 - Mathcast: Calculating Slope

Introduction to Slopes 1.5 - Mathcast: Calculating Slope

Introduction to Slopes 1.4 - Mathcast: Formula for Slope

Introduction to Slopes 1.4 - Mathcast: Formula for Slope

Introduction to Slopes 1.4 - Mathcast: Formula for Slope

Introduction to Slopes 1.3 - Mathcast: Slope & Speed

Introduction to Slopes 1.3 - Mathcast: Slope & Speed

Introduction to Slopes 1.1 - Mathcast: Money in the Bank

Introduction to Slopes 1.1 - Mathcast: Money in the Bank

Introduction to Slopes 1.2 - Mathcast: More Positive

Introduction to Slopes 1.3 - Mathcast: Slope & Speed

Introduction to Slopes 1.3 - Mathcast: Slope & Speed

Introduction to Slopes 1.1 - Mathcast: Money in the Bank

Introduction to Slopes 1.3 - Mathcast: Slope & Speed

Introduction to Slopes 1.1 - Mathcast: Money in the Bank

Introduction to Slopes 1.3 - Mathcast: Slope & Speed

Introduction to Slopes 1.1 - Mathcast

Introduction to Slopes 1.2 - Mathcast

Introduction to Slopes 1.3 - Mathcast

Introduction to Slopes 1.1 - Mathcast: Money in the Bank

Introduction to Slopes 1.3 - Mathcast: Slope & Speed

Money in the Bank - Worksheet

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5 InterActivities to Practice Slope!

InterActivities: 5 InterActivities to Practice Slope

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5 InterActivities to Practice Slope!

5 InterActivities to Practice Slope!

- Think: slope=speed. Speed is measured distance/time (mph or m/s). Time = x-axis and distance = y-axis.

- Think: slope=speed. Speed is measured distance/time (mph or m/s) where time = x-axis and distance = y-axis.

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5 InterActivities to Practice Slope!

Related Topics

[ width=110px] **Global**

[]Slope of a line

[]Brief

[]Mathcasts and Interactivities to understand and practice the slope of a line in the Cartesaian plane.

[]Grade

[]7-10 Interactivities start at 7th grade level on up

[]Strand

[]Algebra and Functions / Geometry and Measurement

[row]

[]Standard

[]CA 7AF.3.3

[row]

[]Keywords

[]line, slope, linear equation, change in y, change in x, ratio

[row]

[]Comments

[]none

[row]

[]Download

[]

[row]

[]Author

[]LFS - contact - website

[row]

[]Type

[]Freeware - Available for Offline and Online Use - Translatable (html)

[row]

[]Use

[]Requires sunJava player

Introduction to Slopes 1.3 - Mathcast

Definition: The slope of a line is the rate of change, that is the: "vertical change"/"horizontal change".

Definition: The slope is the rate of change of a line, that is the: "vertical change"/"horizontal change".

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Introduction to Slopes 1.1 - Mathcast

Introduction to Slopes 1.2 - Mathcast

Money in the Bank - Worksheet

Introduction to Slopes 1.1 - Mathcast

Introduction to Slopes 1.2 - Mathcast

Money in the Bank - Worksheet

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Let's "pick" the points root=(3,0) and y-intercept=(0,-6).

Let's "pick" the points root=(3,0) and y-intercept=(0,-6).

- Coordinates of a point are (x,y) so when graphing a point do horizontal then vertical. See&Do

- Coordinates of a point are (x,y) so when graphing a point do horizontal then vertical. See&Do

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[] To calculate the slope we "pick" points on the line A(1,-4) and B(4,2). We will look "from A to B".

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[] To calculate the slope we "pick" points on the line A(1,-4) and B(4,2). We will look "from A to B".

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Introduction to Slopes - Money in the Bank

- slope = \frac{\mbox{change in y}}{\mbox{change in x}}

- slope = \frac{\mbox{change in y}}{\mbox{change in x}}

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[](0,-6)Slope = m = \frac{\mbox{vertical change}}{\mbox{horizontal change}} = \frac{-6}{-3} = 2 .

[]Slope = m = \frac{\mbox{vertical change}}{\mbox{horizontal change}} = \frac{-6}{-3} = 2 .

[]"change in x" = 0-3 = -3

[]"change in x" = 0-3 = -3 and "change in y" = -6-0 = -6

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"change in y" = -6-0 = -6

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**BUT** you must do the subtractions in the same direction! See Calculating Slope.

**BUT** you must do the subtractions in the same direction!

[] To calculate the slope we "pick" points on the line A(1,-4) and B(4,2).

[] To calculate the slope we "pick" points on the line A(1,-4) and B(4,2).

Let's "pick" the points root=(3,0) and y-intercept=(0,-6).

So (3,0) is our first point and (0,-6) is our second point.Let's "pick" the points root=(3,0) and y-intercept=(0,-6).

[]Slope = m = \frac{\mbox{vertical change}}{\mbox{horizontal change}} = \frac{-6}{-3} = 2 .

[](0,-6)Slope = m = \frac{\mbox{vertical change}}{\mbox{horizontal change}} = \frac{-6}{-3} = 2 .

ans-odg

[] To calculate the slope we "pick" points on the line A(1,-4) and B(4,2).

[] To calculate the slope we "pick" points on the line A(1,-4) and B(4,2).

Let's "pick" the points root=(3,0) and y-intercept=(0,-6).

So (3,0) is our first point and (0,-6) is our second point. Remember - we subtract "second point" - "first point".[ colspan=2]

- Coordinates of a point are (x,y) so when graphing a point do horizontal then vertical. See&Do

[row]

[ colspan=2]

- Slopes are \frac{\mbox{vertical change}}{\mbox{horizontal change}} - so with slope the vertical change is above the horizontal change in the fraction!

[]"change in x" = 0-3 = -3

"change in y" = -6-0 = -6

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[]Slope = m = \frac{\mbox{vertical change}}{\mbox{horizontal change}} = \frac{-6}{-3} = 2 .

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[]*Slope is same no matter what points we "pick"*.

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**BUT** you must do the subtractions in the same direction! See Calculating Slope.

Introduction to Slopes - Money in the Bank

Calculating the slope of a line:

- Pick any 2 points on the line.
- Arbitrarily decide which is the "first point" and "second point".
- "change in x" = "x-coordinate of second point" - "x-coordinate of first point".
- "change in y" = "y-coordinate of second point" - "y-coordinate of first point".
- slope = \frac{\mbox{change in y}}{\mbox{change in x}}

Rule: The slope of a line is a number. Parallel lines have the same slope.

[]

1. Click on the New point tool. In the drawing pad, find the point with coordinates (1,1) and then click. Point A should be drawn. Check the coordinates of point A by rolling your mouse over it.

Introduction to Slopes - Money in the Bank

3. Find the coordinates and draw the points C(5,4) and D(5,1).

Calculating the slope of a line:

- Pick any 2 points on the line.
- Arbitrarily decide which is the "first point" and "second point".
- "change in x" = "x-coordinate of second point" - "x-coordinate of first point".
- "change in y" = "y-coordinate of second point" - "y-coordinate of first point".
- slope = \frac{\mbox{change in y}}{\mbox{change in x}}

4. Use the Segment tool and make the rectangle ABCD.

Rule: The slope of a line is a number. Parallel lines have the same slope.

1. Click on the New point tool. In the drawing pad, find the point with coordinates (1,1) and then click. Point A should be drawn. Check the coordinates of point A by rolling your mouse over it.

[]Slope of this line = m = \frac{\mbox{vertical change}}{\mbox{horizontal change}} = \frac{6}{3} = 2

[]Slope of this line = m = \frac{\mbox{vertical change}}{\mbox{horizontal change}} = \frac{6}{3} = 2

Calculating the slope of a line:

Calculating the slope of a line:

Rule: The slope of a line is a number. Parallel lines have the same slope.

Introduction to Slopes - Money in the Bank

Calculating the slope of a line:

Rule: The slope of a line is a number. Parallel lines have the same slope.

Introduction to Slopes - Money in the Bank

Quadrant 1: Higher or wider?

Quadrant 1: Points - Find their coordinates

Quadrant 1: Making dynamic right-triangles using x(A) and y(B); dynamic rectangles...

Quadrants 4: What quadrants?

Quadrants 4: Points - Find their coordinates

Rule: The slope of a line doesn't change. It is a number. Parallel lines have the same slope.

Rule: The slope of a line is a number. Parallel lines have the same slope.

*slope is same no matter what points we "pick"*.

- Pick any 2 points on the line.
- Arbitrarily decide which is the "first point" and "second point".
- "change in x" = "x-coordinate of second point" - "x-coordinate of first point".
- "change in y" = "y-coordinate of second point" - "y-coordinate of first point".
- slope = \frac{\mbox{change in y}}{\mbox{change in x}}

[c]

[c] To calculate the slope we "pick" points on the line A(1,-4) and B(4,2).

[c width=310]

[] To calculate the slope we "pick" points on the line A(1,-4) and B(4,2).

[row]

[ colspan=2]

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[row]

[c width=308]

[]This is the same line as above.

*slope is same no matter what points we "pick"*.

- Think: slope=speed. Speed is measured distance/time (mph or m/s). Time = x-axis and distance = y-axis.

[c]The two points on the line used to "calculate" the slope are A(1,-4) and B(4,2). We will look "from A to B". The "change in x" "from A to B" is 4-1=3. The "change in y" "from A to B" is 2-(-4)=2+4=6. Slope of this line = m = \frac{\mbox{vertical change}}{\mbox{horizontal change}} = \frac{6}{3} = 2

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[ colspan=2]

- Coordinates of a point are (x,y) so when graphing a point do horizontal then vertical. See&Do

[row]

[ colspan=2]

- Slopes are \frac{\mbox{vertical change}}{\mbox{horizontal change}} - so with slope the vertical change is above the horizontal change in the fraction!

[row]

[ colspan=2]

Think: slope=speed. Speed is measured distance/time (mph or m/s). Time = x-axis and distance = y-axis.

[row]

[c]The two points on the line used to "calculate" the slope are A(1,-4) and B(4,2).

[c] To calculate the slope we "pick" points on the line A(1,-4) and B(4,2).

Rule: The slope of a line doesn't change. It is a number. Parallel lines have the same slope.

Introduction to Slopes - Money in the Bank

[ colspan=2]

Think: slope=speed. Speed is measured distance/time (mph or m/s). Time = x-axis and distance = y-axis.

1. Click on the New point tool. In the drawing pad, find the point with coordinates (1,1) and then click. Point A should be drawn. Check the coordinates of point A by rolling your mouse over it.

3. Find the coordinates and draw the points C(5,4) and D(5,1).

4. Use the Segment tool and make the rectangle ABCD.

[tableend]

[table border=1 cellpadding=3 width=100%]

[ width=110px] **Global**

[]Cartesian Plane

[]Brief

[]Interactivities involving understanding the slope of a line in the Cartesaian plane.

[]Grade

[]5-10 Interactivities start at 7th grade level on up

[ width=110px] **Global**

[]Cartesian Plane

[]Strand

[]Algebra and Functions / Geometry and Measurement

[]Brief

[]Interactivities involving understanding the slope of a line in the Cartesaian plane.

[]Standard

[]CA 7AF.3.3

[]Grade

[]5-10 Interactivities start at 7th grade level on up

[]Keywords

[]line, slope, linear equation, change in y, change in x, ratio

[]Strand

[]Algebra and Functions / Geometry and Measurement

[]Comments

[]none

[]Standard

[]CA 7AF.3.3

[]Download

[]

[]Keywords

[]line, slope, linear equation, change in y, change in x, ratio

[]Author

[]LFS - contact - website

[]Comments

[]none

[]Type

[]Freeware - Available for Offline and Online Use - Translatable (html)

[]Download

[]

[]Author

[]LFS - contact - website

[row]

[]Type

[]Freeware - Available for Offline and Online Use - Translatable (html)

[row]

[c]

[c]The two points on the line used to "calculate" the slope are A(1,-4) and B(4,2). We will look "from A to B". The "change in x" "from A to B" is 4-1=3. The "change in y" "from A to B" is 2-(-4)=2+4=6. Slope of this line = m = \frac{\mbox{vertical change}}{\mbox{horizontal change}} = \frac{6}{3} = 2

- Slopes are \frac{\mbox{vertical change}}{\mbox{horizontal change}} - so for slope do vertical change then horizontal change.

- Slopes are \frac{\mbox{vertical change}}{\mbox{horizontal change}} - so with slope the vertical change is above the horizontal change in the fraction!

[table border=1 cellpadding=3]

[row]

[ colspan=2]

[row]

[ colspan=2]

[row]

[ colspan=2]

[row]

[c]

[c]

[tableend]

Definition: The slope of a line is the rate of change, that is the: "vertical change"/"horizontal change".

Definition: The slope of a line is the rate of change, that is the: "vertical change"/"horizontal change".

- Slopes are \frac{\mbox{vertical change}}{\mbox{horizontal change}} - so for slope do vertical change then horizontal change. Think: slope=speed. Speed is measured distance/time (mph or m/s). Time = x-axis and distance = y-axis.

- Slopes are \frac{\mbox{vertical change}}{\mbox{horizontal change}} - so for slope do vertical change then horizontal change.

Think: slope=speed. Speed is measured distance/time (mph or m/s). Time = x-axis and distance = y-axis.

Definition: The slope of a line in the plane is the ratio: "vertical change"/"horizontal change".

- Slopes are \frac{\mbox{vertical change}}{\mbox{horizontal change}} - so for slope do vertical change then horizontal change.

- Slopes are \frac{\mbox{vertical change}}{\mbox{horizontal change}} - so for slope do vertical change then horizontal change. Think: slope=speed. Speed is measured distance/time (mph or m/s). Time = x-axis and distance = y-axis.

Rule: The slope of a line is a number (constant) and parallel lines have the same slope.

Rule: The slope of a line doesn't change. It is a number. Parallel lines have the same slope.

- Coordinates of a point are (x,y) so when graphing a point do horizontal then vertical. See&Do

- Coordinates of a point are (x,y) so when graphing a point do horizontal then vertical. See&Do

- Coordinates of a point are (x,y) so when graphing a point do horizontal then vertical.

- Coordinates of a point are (x,y) so when graphing a point do horizontal then vertical. See&Do

- The coordinates of a point are (x,y) so when graphing a point do horizontal then vertical.

- Coordinates of a point are (x,y) so when graphing a point do horizontal then vertical.

Positive and Negative Slopes - Money in the Bank

Introduction to Slopes - Money in the Bank

Positive and Negative Slopes - Money in the Bank

- Slopes are \frac{\fgcolor{#990099}{\mbox{vertical change}}}{horizontal change} - so for slope do vertical change then horizontal change.

Definition: The slope of a line in the plane is the ratio: "vertical change"/"horizontal change".

Definition: The slope of a line in the plane is the ratio: "vertical change"/"horizontal change".

Rule: The slope of every line is a constant and parallel lines have the same slope.

Rule: The slope of a line is a number (constant) and parallel lines have the same slope.

Positive and Negative Slopes - Money in the Bank

Mathcasts Examples Practice More [[glossary/S]

Mathcasts Examples Practice More S

Definition: The slope of a line in the plane is the ratio: "vertical change"/"horizontal change".

Definition: The slope of a line in the plane is the ratio: "vertical change"/"horizontal change".