MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10....

MS Algebra A-S-ID-7 – Ch. 5.5aFind Slope Given Two Points

Mr. Deyo

Find Slope and Rate of Change

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.

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

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?

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.

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

1) Slope

2) Rise

3) Run

4) Slope-Intercept Form

5) Point-Slope Form

Vocabulary – Rate of Change

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


2. Draw a sketch

DAY 5

1. Review the word

Friendly definition


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


3. Use Cognates

4. Write friendly definition

5. Physical Representation

Word List1.2.3.4.

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

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


(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




m== 0 = 4

Problem A Find a slope of a VERTICAL line

40

=??Division by zero is undefined.


(-2, 4) and (4, 4)

x y


Find the difference

-




m== =

Problem B Find a slope of a HORIZONTAL line


(-2, 4) and (4, 4)

x y

4 4

-2 4


4

-(-2)

Find the difference

4

- 4




m== 6 = 0

Problem B Find a slope of a HORIZONTAL line

06

= 0


What are the four types of slope?

The four types of slope are:

1) ___________________ 2) ________________

3) _________________ 4) ________________


What are the four types of slope?

The four types of slope are:

1) Positive 2) Negative

3) Zero (horizontal) 4) Undefined (vertical)



Learning Target





TxtBk. Prob.#6-18 Even Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?


Notes: Finding SLOPE of a Linear Equation



(x1, y1) and (x2, y2)

x y

x2 y2

x1 y1


x2

- x1

Find the difference

y2

- y1




y2 – y1

x2 – x1m =

Example: Finding SLOPE of a Linear Equation



(1, 2) and (2, 5)

x y

2 5

1 2


2

- 1

Find the difference

5

- 2




31

m == 1 = 3


(-4, 2) and (2, 6)

x y


Find the difference

-




m == =

Problem A Find a positive slope

=


(-4, 2) and (2, 6)

x y

2 6

-4 2


2

-(-4)

Find the difference

6

- 2




46

m == 6 = 4

Problem A Find a positive slope

= 23


(3, 5) and (6, -1)

x y


Find the difference

-




m == =

Problem B Find a negative slope


(3, 5) and (6, -1)

x y

6 -1

3 5


6

- 3

Find the difference

-1

- 5




m== 3 = -6

Problem B Find a negative slope

-63

=-2


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 ________________________________

___________________________________________

___________________________________________

__________________________________________.

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

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

1) Slope

2) Rise

3) Run

4) Slope-Intercept Form

5) Point-Slope Form

Vocabulary – Rate of Change

DAY 3 and/or DAY 4

1. Review the word

Friendly Definition


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


2. Draw a sketch

DAY 5

1. Review the word

Friendly definition


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


3. Use Cognates

4. Write friendly definition

5. Physical Representation

Word List1.2.3.4.



Learning Target





TxtBk. Prob.#5-18 ALL Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?


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

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)

MS Algebra A-S-ID-7 Ch. 5helpmeteach.weebly.com/uploads/1/7/1/0/17102056/____ms... · 2018. 10....

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