Tom's Y=MX+B Green Globs Lessons

Slope pg.1SlopeSummaryStudents will learn definition of slope. Given a line students will identify the slope.Students will draw a line given a point and a slope. Hopefully slope will be computedgiven to points.TeacherTransparency 1,2 and 3StudentWorksheets 1-3Description of LessonLead a discussion about handicap ramps, roofs and gradients as a lead in to slopeUse transparency 1 to define slope. Distribute worksheet 1 for studentsUse Transparency 2 to demonstrate the various ways of computing slope from a graph.Distribute worksheet 2.Use transparency 3 to identify slopes. Discuss how to handle "hidden points"Distribute Worksheet 3Use transparency 4 to introduce special linesDistribute worksheet 4.

Slope pg.3T2.Slope =Change in YChange in X8765Y+1+2- 74- 6- - 5 4- 3- - 2 1132- 11+2+42 3 4 5 6 7 8X- 2- 3- 4+6- 5+3- 6- 7

Slope pg.4T3.765y4321- - - 3 2 11 2 3x

Slope pg.5T4Y4321- - - 3 2 1 1 2 3 4X- 1- 2- 3- 4

Worksheet 1Slope pg.6

Slope pg.7Worksheet 2Find the slope of the lines below.Y8765432- 7- 6- 5- 4- 3- 22 4 6- 11- 11 3 5 7 8- 7- 2- 3- 4- 5- 6X

Worksheet 3Find the slope of the lines below:Slope pg.8

Slope pg.9Worksheet 4Plot the point (2,3) on the graph and draw a line through (2,3) with a slope of 2.Plot the point (-2, 0) on the graph and draw a line through (-2,0) with a slope of -1Plot the point (-2,3) on the graph and draw a line through (-2,3) with a slope of 3 48765432Y- 7- 6- 5- 4- 3- 22 4 6- 11- 11 3 5 7 8- 7- 2- 3- 4- 5- 6X

Slope pg.10Day 2In the Computer LabIntroduce how to use Green Globs and Letthe students in pairs work on the followingworksheet. Circulate and ask studentsquestions to get them to reflect on the data.

Slope pg.11Directions for Green GlobsTo graph equations type the equation and hit returnTo graph a new equation click on Erase Equationand then type a new equation.To erase a graph, Click on the equation of the graph in the upper lefthand corner and hit the DELETE key.

Slope pg.13Erase the graphs by clicking on the equations on the left of the screen and hit thedelete key.Graph the following equations. Copy them on the graph and determine the slopes ofthe lines.Equation Change in Y Change in X Slopey = -xy = -2xy = -3xy = -(1/2)xy = -5x

Slope pg.14Erase your graphsGraphy = (3/5)x Slope__________y = (-3/5)x Slope __________________y = 4x Slope__________ y = -4x Slope __________________Erase your graphs

Slope pg.15Predict the slope of the following lines the graph them.y = (2/3)x Slope______ y = 6x Slope ______y = -3x Slope_______ y = -1x Slope_______y = (3/4)x Slope_______When an equation has the form of y = m . x how can you predict the slope of theequation?_________________________________________________________________Erase your graphsGraph the following:y = 2x + 5y = -3x + 5y = 5x + 5y = 3x + 5y = 5 + xy = 5 + 6xWhat do all of the graphs have in common?_________________________________________________________________________Erase your graphs. and graph the following:y = 3x + - 2y = - x + - 2y = (2/3)x + - 2y = 6x + - 2y = - 2 + 7xy = -2 + xWhat do all of the graphs have in common?_______________________________________________________________________________________________________________________________________________Erase your graphs

Slope pg.16Predict the point where these equations will cross the Y axis. (this is called the y-intercept)y = 3x Slope_________ Y-intercept___(0, )________y = 3x + 5 Slope_________ Y-intercept___(0, )________y = 3x + - 7 Slope_________ Y-intercept___(0, )________y = 3x + 3 Slope_________ Y-intercept___(0, )________y = 3x - 1 Slope_________ Y-intercept___(0, )________y = 2 + 3x Slope_________ Y-intercept___(0, )________y = - 5 + 3x Slope_________ Y-intercept___(0, )________Graph the equations to see if you are correct.Erase your graphsSummarize your results When an equation is of the form y = m . x + bm tells you ____________ andb tells you ____________________Predict the slope and intercept for the following equationsSlopey = 2x +7Y-intercepty = 3/5 x + 1y = 4x + 3y = 6x + 1

State the equation of the graphs below:Slope pg.17

Slope pg.18

Slope pg.20Special LinesGraph the following:y= 2 y= -5 y = 0 y = 7 y = -3Predict the following on the graph below:y = 5 y = -4 y = 3 y = 6Graph them to see if you are correct.List 5 point on the line y = 3Why do you think the line is described as y = 3?Graph the following:x = 4 x = 6 x = - 3 x = 0 x = - 4Predict the following on the graph below:x= 1 x = 4 x = -5 x = 7Graph them to see if you are correct.

Slope pg.21List 5 point on the line x = 4Why do you think the line is described as x = 4?Graph these lines:x = 5 y = -1 x = 2.5 y = 4x= -5 is parallel to the ______ axis.y = 8 is parallel to the _______ axis.

Slope pg.22What is the equation of the y - axis?What is the equation of the x - axis?What is the slope of these lines? Why?

Slope pg.23Day 3Lead a discussion of the results of the computer Lab. Allow the students to work ingroups on the following:

Slope pg.26Graph these below:y= - 1 x + 5y = 4 - x - 1 5y = 5 - xy = 5x -3Did you label the x and y axis?

Slope pg.27Graph these equations. What do you notice?y = 3x - 5y = 3x - 3y = 3xy = 3x + 2I noticed that __________________________________________

Slope pg.29Graph these lines:x = 6 y = -5 x = 3.5 y = 4x= -2 is parallel to the ______ axis.y = 3 is parallel to the _______ axis.

Slope pg.317. Graph the following: y = 3 4 x + 2 3x + 2y = 4 x = 4 y = -28. y = -x - 19. y = 2x + 510. y= 5x -711. (1,6)12 (4,1)

Slope pg.32Name ________________________________________Test 4.1. Evaluate the rule y = 3x - 2 for the following values of x.x-3-20123y2. Plot points on the graph below and label the graph.

Slope pg.333. Find the Slope of the following line.4. For the points (-2, -3) (0 , 7) compute algebraically:the slope = ____________________the midpoint =____________________5. Name the slope and y-intercept for the following and graph:y = 1 3 x + 22x + y = 5m= ________ b = ____ y -intercept _______m= ________ b = ____ y -intercept _______6x - 3y = 15m= ________ b = ____ y -intercept _______

Slope pg.346. Graph the following and label the graph:y = 3 4 x - 2 4x + 2y = 4 x = 4 y = -2

Slope pg.357. Find the equation of the line whose slope is 2 and passes through the point ( 2, -1)8. Find the equation of the line that passes through the points ( -1 , -3) and (3,5).9. Find the equation of the line that is parallel to the line y = 2x +3 and passes throughthe point (2,3).

Slope pg.3610. Solve Graphically and check:y = -2x + 4y = x + 1

Slope pg.3711. Solve graphically and check:x + 2y = 6y - x = -3