a segment: Bellwork: Answer the following questions
November 14, 2017 Honors Algebra 1
Unit 5A: Linear Equations Section 5.5: Midpoint and Distance Formulas Midpoint of a segment:
Bellwork: Answer the following questions What is a midpoint?
What is the midpoint of a segment that is 7 ft long? What is the midpoint of the segment that starts at (0,1) and ends at (8,1)? What is the pythagorean theorem? What do "a, b, and c " stand for? Example:
Students Try:
(-2, -3)
Example:
Students Try:
November 14, 2017
5.4 Homework
m=-4
Name:
undefined
m=0
m= -5.4/ 3000
m=5/9 temp is increasing at a rate of 5˚C for each 9˚F
boiling point is decreasing at a rate of 5.4˚F for each 3000 ft above sea level
m = 260,000 - 175,000 = $21,250 per year 5-1
November 14, 2017
Student B. The student did not use the same coordinate pair order in the denominator as the numerator
4 chirps/min 1 ˚F yes, m=4
Find the value of k such that the slope between the two points is as given. 2. (3, k) and (-2, 7) m = 2 1. (-4, 6) and (k, 2) m = -1/2
2-6 = -1 k+4 2
k=17
2(-4) = -(k+4) -8 = -k - 4 -4 = -k 4=k Are the points (-2,14), (4,11) and (-8,17) on the same line?
m= 3/-6=-1/2
m=6/-12=-1/2
yes
November 14, 2017
Distance between two points:
How long is a segment that starts at (0,1) and ends at (6,1)? Length of segment from (0,1) to (4,4)
Example:
Students Try:
Students Try:
November 14, 2017 Students Try:
November 14, 2017
5.5 Homework
(3 1/2, -4 1/2)
(17, -23)
78.3 km
2.5 miles
Name:
November 14, 2017
d = √(15-55)2 + (80-38)2 = 58 d = rt; 58 = 75t ; t=.7733 hour (60 min/hour) 46.4 or 46 min
CD, EF, AB
d = √ 92 + 402 d = 21.93 miles and he can travel 2(22) mi or 44 miles yes he'll make it home but ...
November 14, 2017
Bellwork: A straight highway connects the towns of Beaverville and St. Anne. On a map, the coordinates of Beaverville are (4, 12) and the coordinates of St. Anne are (10, -‐ 4). Casey's Pizza is located on the highway at the midpoint between the two towns. What are the coordinates of the restaurant? What is the distance between the two towns? In class: REVIEW Packet
November 14, 2017
Bellwork: 1.What is the slope, x-intercept and y-intercept? 2. Is the slope of y=2x+6 positive or negative?
3. Write y = 1/3x - 5 in standard form. Find A,B,C 4. Find the x and y intercepts of -2y+x = 2y - 8 5. Find the value of x so that the points (x,3) and (-‐12, -‐9) lie on a line with slope 3.
6. Greg drains an 80 gallon fish tank at a rate of 16 gallons per hour. Let x represent the number of hours and y the amount of water in the tank. Write an equaWon to describe. Graph it. What is your domain and range?
November 14, 2017
Unit 5A: Linear Equations Section 5.5: Midpoint and Distance Formulas Midpoint of a segment:
Bellwork: Answer the following questions What is a midpoint?
What is the midpoint of a segment that is 7 ft long? What is the midpoint of the segment that starts at (0,1) and ends at (8,1)? What is the pythagorean theorem? What do "a, b, and c " stand for? Example:
Students Try:
(-2, -3)
Example:
Students Try:
November 14, 2017
5.4 Homework
m=-4
Name:
undefined
m=0
m= -5.4/ 3000
m=5/9 temp is increasing at a rate of 5˚C for each 9˚F
boiling point is decreasing at a rate of 5.4˚F for each 3000 ft above sea level
m = 260,000 - 175,000 = $21,250 per year 5-1
November 14, 2017
Student B. The student did not use the same coordinate pair order in the denominator as the numerator
4 chirps/min 1 ˚F yes, m=4
Find the value of k such that the slope between the two points is as given. 2. (3, k) and (-2, 7) m = 2 1. (-4, 6) and (k, 2) m = -1/2
2-6 = -1 k+4 2
k=17
2(-4) = -(k+4) -8 = -k - 4 -4 = -k 4=k Are the points (-2,14), (4,11) and (-8,17) on the same line?
m= 3/-6=-1/2
m=6/-12=-1/2
yes
November 14, 2017
Distance between two points:
How long is a segment that starts at (0,1) and ends at (6,1)? Length of segment from (0,1) to (4,4)
Example:
Students Try:
Students Try:
November 14, 2017 Students Try:
November 14, 2017
5.5 Homework
(3 1/2, -4 1/2)
(17, -23)
78.3 km
2.5 miles
Name:
November 14, 2017
d = √(15-55)2 + (80-38)2 = 58 d = rt; 58 = 75t ; t=.7733 hour (60 min/hour) 46.4 or 46 min
CD, EF, AB
d = √ 92 + 402 d = 21.93 miles and he can travel 2(22) mi or 44 miles yes he'll make it home but ...
November 14, 2017
Bellwork: A straight highway connects the towns of Beaverville and St. Anne. On a map, the coordinates of Beaverville are (4, 12) and the coordinates of St. Anne are (10, -‐ 4). Casey's Pizza is located on the highway at the midpoint between the two towns. What are the coordinates of the restaurant? What is the distance between the two towns? In class: REVIEW Packet
November 14, 2017
Bellwork: 1.What is the slope, x-intercept and y-intercept? 2. Is the slope of y=2x+6 positive or negative?
3. Write y = 1/3x - 5 in standard form. Find A,B,C 4. Find the x and y intercepts of -2y+x = 2y - 8 5. Find the value of x so that the points (x,3) and (-‐12, -‐9) lie on a line with slope 3.
6. Greg drains an 80 gallon fish tank at a rate of 16 gallons per hour. Let x represent the number of hours and y the amount of water in the tank. Write an equaWon to describe. Graph it. What is your domain and range?
November 14, 2017
