5-1 slopes miss battaglia – algebra 1 cp objective: calculate the slope of a line and draw a line...

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5-1 SLOPES MIS S BA TTAGLIA – AL G EBRA 1 CP OBJ ECTIVE: CALC U LATE THE SLO PE OF A L INE AND DRAW A LINE THRO UGH A PO INT WITH A GIVEN SL OPE .

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Page 1: 5-1 SLOPES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: CALCULATE THE SLOPE OF A LINE AND DRAW A LINE THROUGH A POINT WITH A GIVEN SLOPE

5-1 S

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Page 2: 5-1 SLOPES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: CALCULATE THE SLOPE OF A LINE AND DRAW A LINE THROUGH A POINT WITH A GIVEN SLOPE

WARM UP

What do you think the word slope means? Make a list of things that vary in slope.

Page 3: 5-1 SLOPES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: CALCULATE THE SLOPE OF A LINE AND DRAW A LINE THROUGH A POINT WITH A GIVEN SLOPE

COUNTING UNITS TO FIND SLOPE

Slope =

Page 4: 5-1 SLOPES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: CALCULATE THE SLOPE OF A LINE AND DRAW A LINE THROUGH A POINT WITH A GIVEN SLOPE

AIRPLANES

The graph models the altitude of an airplane from the time the wheels are lowered (time=0s) to when the plane lands. Find the slope of the line.

Page 5: 5-1 SLOPES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: CALCULATE THE SLOPE OF A LINE AND DRAW A LINE THROUGH A POINT WITH A GIVEN SLOPE

USING COORDINATES TO FIND SLOPE

Slope = where

Find the slope of a line through A(-2,1) and B(5,7)

Page 6: 5-1 SLOPES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: CALCULATE THE SLOPE OF A LINE AND DRAW A LINE THROUGH A POINT WITH A GIVEN SLOPE

EXAMPLE

Find the slope of a line through the points A(0,-1) and B(3,4)

Page 7: 5-1 SLOPES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: CALCULATE THE SLOPE OF A LINE AND DRAW A LINE THROUGH A POINT WITH A GIVEN SLOPE

FIND THE SLOPE OF THE LINEUSING THE POINTS SHOWN.

Page 8: 5-1 SLOPES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: CALCULATE THE SLOPE OF A LINE AND DRAW A LINE THROUGH A POINT WITH A GIVEN SLOPE

EXAMPLE

Draw a line through the point (1,2) with the slope

Page 9: 5-1 SLOPES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: CALCULATE THE SLOPE OF A LINE AND DRAW A LINE THROUGH A POINT WITH A GIVEN SLOPE

EXAMPLE

Draw a line through the point (1,1) with the slope

Page 10: 5-1 SLOPES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: CALCULATE THE SLOPE OF A LINE AND DRAW A LINE THROUGH A POINT WITH A GIVEN SLOPE

SLOPE OF LINES

Page 11: 5-1 SLOPES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: CALCULATE THE SLOPE OF A LINE AND DRAW A LINE THROUGH A POINT WITH A GIVEN SLOPE

HOMEWORK

Pg 217-218 # 1-15 odd, 25