ms algebra a-s-id-7 ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10....
TRANSCRIPT
![Page 1: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/1.jpg)
MS Algebra A-S-ID-7 – Ch. 5.5aFind Slope Given Two Points
Mr. Deyo
Find Slope and Rate of Change
![Page 2: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/2.jpg)
By the end of the period, I will find the slope of various linear equations and graphs when given two points.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Learning Target
Title: 5.5a Find Slope Given Two Points Date:
Teacher Note: Graph paper helpful for this lesson.
![Page 3: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/3.jpg)
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.5 Pg. 286-289 3) Section ______
TxtBk. Prob.#5-17 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description Date Due
![Page 4: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/4.jpg)
Storm Check (Think, Write, Discuss, Report)
Questions on which to ponder and answer:1. How are the two images similar?
2. How are they different?
3. How can these two images be related to math?
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For use with pages xxx–xxxDaily Warm-Up Exercises
A cross-country skier traveled 14 miles in 3.5 hours.
Use the formula d = r • t where d is distance, r is
rate, and t is time, to find the average rate of speed.
![Page 6: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/6.jpg)
For use with pages xxx–xxxDaily Warm-Up Exercises
A cross-country skier traveled 14 miles in 3.5 hours.
Use the formula d = r • t where d is distance, r is
rate, and t is time, to find the average rate of speed.
ANSWER
4 mi/h
![Page 7: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/7.jpg)
1) Slope
2) Rise
3) Run
4) Slope-Intercept Form
5) Point-Slope Form
Vocabulary – Rate of Change
![Page 8: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/8.jpg)
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
Friendly DefinitionSketch
Wordwork Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing
DAY 1
1. Use Visuals
2. Introduce the word
Friendly Definition
Physical Representation
3. Use Cognates
4. Write friendly definition
5. Physical Representation
Word List1.2.3.4.
![Page 9: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/9.jpg)
Notes: Types of SLOPES of a Linear Equation
y = mx + bm = slope = rise/run = change in y / change in xb = y-intercept = where graph crosses y-axisx = independent variable, y = dependent variable
Positive
Undefined
Negative
Zero
+ m - m
m = 0 (horizontal) m = ??(vertical)Dividing by Zero
![Page 10: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/10.jpg)
STEP 1)You need two (2) points to find the slope:
(3, 5) and (3, 1)
x y
STEP 4)Make a fraction with the values from STEP 3.-
Find the difference
-
STEP 2)Make a table of points
STEP 3)Find the difference
denominator numerator
m== =
Problem A Find a slope of a VERTICAL line
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STEP 1)You need two (2) points to find the slope:
(3, 5) and (3, 1)
x y
3 5
3 1
STEP 4)Make a fraction with the values from STEP 3.
3
- 3
Find the difference
5
- 1
STEP 2)Make a table of points
STEP 3)Find the difference
denominator numerator
m== 0 = 4
Problem A Find a slope of a VERTICAL line
40
=??Division by zero is undefined.
![Page 12: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/12.jpg)
STEP 1)You need two (2) points to find the slope:
(-2, 4) and (4, 4)
x y
STEP 4)Make a fraction with the values from STEP 3.-
Find the difference
-
STEP 2)Make a table of points
STEP 3)Find the difference
denominator numerator
m== =
Problem B Find a slope of a HORIZONTAL line
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STEP 1)You need two (2) points to find the slope:
(-2, 4) and (4, 4)
x y
4 4
-2 4
STEP 4)Make a fraction with the values from STEP 3.
4
-(-2)
Find the difference
4
- 4
STEP 2)Make a table of points
STEP 3)Find the difference
denominator numerator
m== 6 = 0
Problem B Find a slope of a HORIZONTAL line
06
= 0
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Storm Check (Think, Write, Discuss, Report)
What are the four types of slope?
The four types of slope are:
1) ___________________ 2) ________________
3) _________________ 4) ________________
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Storm Check (Think, Write, Discuss, Report)
What are the four types of slope?
The four types of slope are:
1) Positive 2) Negative
3) Zero (horizontal) 4) Undefined (vertical)
![Page 16: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/16.jpg)
By the end of the period, I will find the slope of various linear equations and graphs when given two points.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Learning Target
Title: 5.5a Find Slope Given Two Points Date:
Teacher Note: Graph paper helpful for this lesson.
![Page 17: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/17.jpg)
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.5 Pg. 286-289 3) Section ______
TxtBk. Prob.#6-18 Even Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description Date Due
![Page 18: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/18.jpg)
Notes: Finding SLOPE of a Linear Equation
y = mx + bm = slope = rise/run = change in y / change in xb = y-intercept = where graph crosses y-axisx = independent variable, y = dependent variable
STEP 1)You need two (2) points to find the slope:
(x1, y1) and (x2, y2)
x y
x2 y2
x1 y1
STEP 4)Make a fraction with the values from STEP 3.
x2
- x1
Find the difference
y2
- y1
STEP 2)Make a table of points
STEP 3)Find the difference
denominator numerator
y2 – y1
x2 – x1m =
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Example: Finding SLOPE of a Linear Equation
y = mx + bm = slope = rise/run = change in y / change in xb = y-intercept = where graph crosses y-axisx = independent variable, y = dependent variable
STEP 1)You need two (2) points to find the slope:
(1, 2) and (2, 5)
x y
2 5
1 2
STEP 4)Make a fraction with the values from STEP 3.
2
- 1
Find the difference
5
- 2
STEP 2)Make a table of points
STEP 3)Find the difference
denominator numerator
31
m == 1 = 3
![Page 20: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/20.jpg)
STEP 1)You need two (2) points to find the slope:
(-4, 2) and (2, 6)
x y
STEP 4)Make a fraction with the values from STEP 3.-
Find the difference
-
STEP 2)Make a table of points
STEP 3)Find the difference
denominator numerator
m == =
Problem A Find a positive slope
=
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STEP 1)You need two (2) points to find the slope:
(-4, 2) and (2, 6)
x y
2 6
-4 2
STEP 4)Make a fraction with the values from STEP 3.
2
-(-4)
Find the difference
6
- 2
STEP 2)Make a table of points
STEP 3)Find the difference
denominator numerator
46
m == 6 = 4
Problem A Find a positive slope
= 23
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STEP 1)You need two (2) points to find the slope:
(3, 5) and (6, -1)
x y
STEP 4)Make a fraction with the values from STEP 3.-
Find the difference
-
STEP 2)Make a table of points
STEP 3)Find the difference
denominator numerator
m == =
Problem B Find a negative slope
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STEP 1)You need two (2) points to find the slope:
(3, 5) and (6, -1)
x y
6 -1
3 5
STEP 4)Make a fraction with the values from STEP 3.
6
- 3
Find the difference
-1
- 5
STEP 2)Make a table of points
STEP 3)Find the difference
denominator numerator
m== 3 = -6
Problem B Find a negative slope
-63
=-2
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Storm Check (Think, Write, Discuss, Report)
How do you find the slope for a given linear equation? (3 or 4 sentences)
To find the slope for a given linear equation, I
have to ________________________________
___________________________________________
___________________________________________
__________________________________________.
![Page 25: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/25.jpg)
Guided PracticeFind the slope of the line that passes through the points.
(0, 6) and (5, - 4) (5, 2) and (4, -1)
x y x y
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Guided Practice
ANSWER
Find the slope of the line that passes through the points.
(0, 6) and (5, - 4) (5, 2) and (4, -1)
ANSWER
x y
5 -4
0 6
x y
4 -1
5 2
= -2
5 – 0
=5-4 – 6
=-10= -10
5= 3
4 – 5
= -1-1 – 2
= -3= -3
-1
![Page 27: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/27.jpg)
1) Slope
2) Rise
3) Run
4) Slope-Intercept Form
5) Point-Slope Form
Vocabulary – Rate of Change
![Page 28: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/28.jpg)
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
Friendly DefinitionSketch
Wordwork Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing
DAY 1
1. Use Visuals
2. Introduce the word
Friendly Definition
Physical Representation
3. Use Cognates
4. Write friendly definition
5. Physical Representation
Word List1.2.3.4.
![Page 29: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/29.jpg)
By the end of the period, I will find the slope of various linear equations and graphs when given two points.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Learning Target
Title: 5.5a Find Slope Given Two Points Date:
Teacher Note: Graph paper helpful for this lesson.
![Page 30: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/30.jpg)
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.5 Pg. 286-289 3) Section ______
TxtBk. Prob.#5-18 ALL Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description Date Due
![Page 31: MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10. 13. · MS Algebra A-S-ID-7 –Ch. 5.5a Find Slope Given Two Points Mr. Deyo Find Slope](https://reader035.vdocuments.us/reader035/viewer/2022071213/60309d5bf22c395c9c44a739/html5/thumbnails/31.jpg)
Ticket OUT. Graph the function ( y = mx + b )
2x – 5y = 10
x y
Step 1) Solve for yStep 2) Plot y-interceptStep 3) Plot the slope
2 or 3 times
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Ticket OUT. Graph the function ( y = mx + b )
2x – 5y = 102x – 5y = 10-2x = -2x
-5y = -2x +10-5 -5 -5
y = 2x -25
Step 1)
Step 2)
ANSWER
(0, -2)
(5, 0)
x y
-5 -4
5 0
Step 1) Solve for yStep 2) Plot y-interceptStep 3) Plot the slope
2 or 3 times
m = 25
b = -2 (0, -2)
(-5, -4)
Step 3)