MS Algebra A-S-ID-7 – Ch. 5.5a Find Slope Given Two Points ALGEBRA SUPPORT Day 1 of 2 Find Slope and Rate of Change

SUPPORT Class Learning Target Title: 5.5a Find Slope Given Two Points Day 1 of 2 Date: SUPPORT Class Learning Target 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. 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 Contents Date Description Date Due

m= = = (-3, 2) and (-3, -2) - - x y Find a slope of a VERTICAL line HW # 5 Find a slope of a VERTICAL line STEP 1) You need two (2) points to find the slope: (-3, 2) and (-3, -2) (-3, 2) STEP 2) Make a table of points x y (-3, -2) STEP 3) Find the difference Find the difference STEP 4) Make a fraction with the values from STEP 3. - - m= = =  denominator  numerator

HW # 7 Describe and correct the error in calculating the slope of the line shown You need two (2) points to find the slope: (6, 3) and (12, 0) 6 -3 12 - 6 0 - 3 m= = = -2 The error in the calculating the slope happens when ___________ ___________________________. (6, 3) (12, 0) I can correct the error by ______________________________________ __________________________________________________________.

HW # 9 Find the slope of the line that passes through the points. STEP 1) You need two (2) points to find the slope: (-3, -2) and (-3, 6) STEP 2) Make a table of points x y STEP 3) Find the difference Find the difference STEP 4) Make a fraction with the values from STEP 3. - - m= = =  denominator  numerator

HW # 11 Find the slope of the line that passes through the points. STEP 1) You need two (2) points to find the slope: (1, 3) and (3, -2) STEP 2) Make a table of points x y STEP 3) Find the difference Find the difference STEP 4) Make a fraction with the values from STEP 3. - - m= = =  denominator  numerator

HW # 13 Find the slope of the line that passes through the points. STEP 1) You need two (2) points to find the slope: (1, -3) and (7, 3) STEP 2) Make a table of points x y STEP 3) Find the difference Find the difference STEP 4) Make a fraction with the values from STEP 3. - - m= = =  denominator  numerator

HW # 15 Find the slope of the line that passes through the points. STEP 1) You need two (2) points to find the slope: (-9, 1) and (1, 1) STEP 2) Make a table of points x y STEP 3) Find the difference Find the difference STEP 4) Make a fraction with the values from STEP 3. - - m= = =  denominator  numerator

Storm Check (Think, Write, Discuss, Report) What are the four types of slope? The four types of slope are: ___________________ 2) ________________ 3) _________________ 4) ________________

Storm Check (Think, Write, Discuss, Report) What are the four types of slope? The four types of slope are: Positive 2) Negative 3) Zero (horizontal) 4) Undefined (vertical)

HW # 17 The slope of the line that passes through the two points is _____________________. STEP 1) You need two (2) points to find the slope: (-2, -3) and (8, -3) STEP 2) Make a table of points x y Positive b) Negative c) Zero d) Undefined STEP 3) Find the difference Find the difference STEP 4) Make a fraction with the values from STEP 3. - - m= = =  denominator  numerator

Vocabulary – Rate of Change Slope Rise Run Slope-Intercept Form Point-Slope Form

Vocabulary Acquisition Friendly Definition Sketch Wordwork Sentence DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch DAY 1 Use Visuals Introduce the word Friendly Definition Physical Representation Use Cognates Write friendly definition Word List Vocabulary Acquisition 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 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

SUPPORT Class Learning Target Title: 5.5a Find Slope Given Two Points Day 1 of 2 Date: SUPPORT Class Learning Target 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. Teacher Note: Graph paper helpful for this lesson.

y = mx + b Finding SLOPE of a Linear Equation m = - x1 - y1 y2 – y1 Notes: Finding SLOPE of a Linear Equation y = mx + b m = slope = rise/run = change in y / change in x b = y-intercept = where graph crosses y-axis x = independent variable, y = dependent variable STEP 1) You need two (2) points to find the slope: (x1, y1) and (x2, y2) STEP 2) Make a table of points x y x2 y2 x1 y1 STEP 3) Find the difference Find the difference STEP 4) Make a fraction with the values from STEP 3. x2 - x1 y2 - y1 y2 – y1 x2 – x1 m =  denominator  numerator

y = mx + b 3 m = 1 Finding SLOPE of a Linear Equation = 1 = 3 2 5 1 Example: Finding SLOPE of a Linear Equation y = mx + b m = slope = rise/run = change in y / change in x b = y-intercept = where graph crosses y-axis x = independent variable, y = dependent variable STEP 1) You need two (2) points to find the slope: (1, 2) and (2, 5) STEP 2) Make a table of points x y 2 5 1 STEP 3) Find the difference Find the difference STEP 4) Make a fraction with the values from STEP 3. 2 - 1 5 - 2 3 1 m = = 1 = 3  denominator  numerator

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 ________________________________ ___________________________________________ __________________________________________.