1. Gary Milton Sr. W. Mark Smith Van Buren Technology Center CTE Concepts CS (Cutting Speeds) Math Concepts: Calculations

2. Math-in-CTE Lesson Plan Template Lesson Title: The effects of CS on RPM ‘SLesson # Author(s):Phone Number(s):E-mail Address(es): Gary A. Milton Sr207-868-5274 Mark Smith207-868-5274 Occupational Area: Machine Tool Technology CTE Concepts CS (cutting speeds) Math Concepts: Calculations Lesson Objective:Show how cutting speeds effects the RPM setting while machining on a lathe Supplies Needed:Speeds and Feed chart table 47-1 THE "7 ELEMENTS"TEACHER NOTES (and answer key) 1.Introduce the CTE lesson. We must first have an understanding that there is many math concepts that must be first taught and understood before anyone can begin to operate a metal lather safely. Today’s lesson will focus on how CS effects RPM’S. Today’s lesson will be how Cutting Speed (CS) effects the initial RPM setting on the lathe. This difference is extremely important in setup as well as in the final operation of a machine. There are a number of factors that must be considered when determining the correct cutting speed. Material used in the cutting tool itself, the material that is being cut and rigidity of the work piece, just to name a few. Inappropriate cutting speeds can also cause tool burnout. Show table 47-1 Speeds and feed chart. Show student running metal lathe. The words in red are vocabulary words for this lesson that are covered previous to this lesson so they are prepared for them and can recognize the key words.

3. Lathe Cutting Speeds in Feet and Meters per Minute Using a High-Speed Steel Toolbit Rough CutFinish CutThreading Materialft/minm/minft/minm/minft/minm/min Tool Steel70219027309 Cast Iron60188024258 Machine Steel9027100303511 Bronze902710030258 Aluminum20061300936018 Feeds for Various Materials (Using a High-Speed Steel Cutting Tool) Table 47-2 Rough Cuts In. Rough Cuts mm Finish Cuts In. Finish Cuts mm Machine Steel.010-.0200.25-0.5.003-.0100.07-0.25 Tool Steel.010-.0200.25-0.5.003-.0100.07-0.25 Cast iron.015-.0250.4-0.65.005-.0120.13-0.30 Bronze.015-.0250.4-0.65.003-.0100.07-0.25 Aluminum.015-.0300.4-0.75.005-.0100.13-0.25 Machine Time CalculationsRPM’s Time = Distance/Rate Where distance = length of cut Rate = feed x rpm’s CS x 4 / Diameter

4. Math-in-CTE Lesson Plan Template Lesson Title: The effects of CS on RPM ‘SLesson # Author(s):Phone Number(s):E-mail Address(es): Gary A. Milton Sr207-868-5274 Mark Smith207-868-5274 Occupational Area: Machine Tool Technology CTE Concepts CS (cutting speeds) Math Concepts: Calculations Lesson Objective:Show how cutting speeds effects the RPM setting while machining on a lathe Supplies Needed:Speeds and Feed chart table 47-1 THE "7 ELEMENTS"TEACHER NOTES (and answer key) 1.Introduce the CTE lesson. We must first have an understanding that there is many math concepts that must be first taught and understood before anyone can begin to operate a metal lather safely. Today’s lesson will focus on how CS effects RPM’S. Today’s lesson will be how Cutting Speed (CS) effects the initial RPM setting on the lathe. This difference is extremely important in setup as well as in the final operation of a machine. There are a number of factors that must be considered when determining the correct cutting speed. Material used in the cutting tool itself, the material that is being cut and rigidity of the work piece, just to name a few. Inappropriate cutting speeds can also cause tool burnout. Show table 47-1 Speeds and feed chart. Show student running metal lathe. The words in red are vocabulary words for this lesson that are covered previous to this lesson so they are prepared for them and can recognize the key words.

6. Math-in-CTE Lesson Plan Template Lesson Title: The effects of CS on RPM ‘SLesson # Author(s):Phone Number(s):E-mail Address(es): Gary A. Milton Sr207-868-5274 Mark Smith207-868-5274 Occupational Area: Machine Tool Technology CTE Concepts CS (cutting speeds) Math Concepts: Calculations Lesson Objective:Show how cutting speeds effects the RPM setting while machining on a lathe Supplies Needed:Speeds and Feed chart table 47-1 THE "7 ELEMENTS"TEACHER NOTES (and answer key) 1.Introduce the CTE lesson. We must first have an understanding that there is many math concepts that must be first taught and understood before anyone can begin to operate a metal lather safely. Today’s lesson will focus on how CS effects RPM’S. Today’s lesson will be how Cutting Speed (CS) effects the initial RPM setting on the lathe. This difference is extremely important in setup as well as in the final operation of a machine. There are a number of factors that must be considered when determining the correct cutting speed. Material used in the cutting tool itself, the material that is being cut and rigidity of the work piece, just to name a few. Inappropriate cutting speeds can also cause tool burnout. Show table 47-1 Speeds and feed chart. Show student running metal lathe. The words in red are vocabulary words for this lesson that are covered previous to this lesson so they are prepared for them and can recognize the key words.

7. 2.Assess students’ math awareness as it relates to the CTE lesson. In the past you have learned how to interpret the charts on a metal lathe to acquire the information necessary to produce your part, from the safety quiz hand out sheet could you give me the number correlating to spindle speeds? Feeds and Speeds? Threading chart? Can anyone explain what CS actually is? Having already completed a couple of projects to date can anyone tell me where they would go to find the information required to begin calculating the RPM’S for a project Show Jet Gh114w-3 safety quiz. Cutting speed is the distance the work moves past the tool, expressed in feet per minute. The students should be able to go and retrieve the information from the book on table 47 – 1, at this point they are ready to continue. Show Table 47 -1 Lathe cutting speed table quiz. 3. Work through the math example embedded in the CTE lesson. The math formula for calculating RPM’s is CS x 4 / D Where RPM’s = Revolutions per minute CS = Cutting Speed D = Diameter of work in inches Cutting speed for machine steel is 90 ft per minute, taken directly from the speeds and feeds chart and your asked for a rough cut finish. Keep in mind that the speeds shown in Table 47 – 1 Speeds and Feeds should only be considered a starting point. Depending on machine condition, they may have to be increased or decreased until optimum cutting conditions are obtained Show Table 47 -1 Lathe Cutting Speeds Rough cut finish =.010 to.020 RPM’s = 90 x 4 / 3 RPM = 120 Items in blue are feeds rates that are determined from the same chart, Table 47 – 1 the middle table for feed rates. These feed rates are based on a how you are looking for the end appearance of your part after you take a cut.

8. Jet GH1140W-3 Safety Quiz

9. 2.Assess students’ math awareness as it relates to the CTE lesson. In the past you have learned how to interpret the charts on a metal lathe to acquire the information necessary to produce your part, from the safety quiz hand out sheet could you give me the number correlating to spindle speeds? Feeds and Speeds? Threading chart? Can anyone explain what CS actually is? Having already completed a couple of projects to date can anyone tell me where they would go to find the information required to begin calculating the RPM’S for a project Show Jet Gh114w-3 safety quiz. Cutting speed is the distance the work moves past the tool, expressed in feet per minute. The students should be able to go and retrieve the information from the book on table 47 – 1, at this point they are ready to continue. Show Table 47 -1 Lathe cutting speed table quiz. 3. Work through the math example embedded in the CTE lesson. The math formula for calculating RPM’s is CS x 4 / D Where RPM’s = Revolutions per minute CS = Cutting Speed D = Diameter of work in inches Cutting speed for machine steel is 90 ft per minute, taken directly from the speeds and feeds chart and your asked for a rough cut finish. Keep in mind that the speeds shown in Table 47 – 1 Speeds and Feeds should only be considered a starting point. Depending on machine condition, they may have to be increased or decreased until optimum cutting conditions are obtained Show Table 47 -1 Lathe Cutting Speeds Rough cut finish =.010 to.020 RPM’s = 90 x 4 / 3 RPM = 120 Items in blue are feeds rates that are determined from the same chart, Table 47 – 1 the middle table for feed rates. These feed rates are based on a how you are looking for the end appearance of your part after you take a cut.

10. Lathe Cutting Speeds in Feet and Meters per Minute Using a High-Speed Steel Toolbit Rough CutFinish CutThreading Materialft/minm/minft/minm/minft/minm/min Tool Steel70219027309 Cast Iron60188024258 Machine Steel9027100303511 Bronze902710030258 Aluminum20061300936018 Feeds for Various Materials (Using a High-Speed Steel Cutting Tool) Table 47-2 Rough Cuts In. Rough Cuts mm Finish Cuts In. Finish Cuts mm Machine Steel.010-.0200.25-0.5.003-.0100.07-0.25 Tool Steel.010-.0200.25-0.5.003-.0100.07-0.25 Cast iron.015-.0250.4-0.65.005-.0120.13-0.30 Bronze.015-.0250.4-0.65.003-.0100.07-0.25 Aluminum.015-.0300.4-0.75.005-.0100.13-0.25 Machine Time CalculationsRPM’s Time = Distance/Rate Where distance = length of cut Rate = feed x rpm’s CS x 4 / Diameter

11. 2.Assess students’ math awareness as it relates to the CTE lesson. In the past you have learned how to interpret the charts on a metal lathe to acquire the information necessary to produce your part, from the safety quiz hand out sheet could you give me the number correlating to spindle speeds? Feeds and Speeds? Threading chart? Can anyone explain what CS actually is? Having already completed a couple of projects to date can anyone tell me where they would go to find the information required to begin calculating the RPM’S for a project Show Jet Gh114w-3 safety quiz. Cutting speed is the distance the work moves past the tool, expressed in feet per minute. The students should be able to go and retrieve the information from the book on table 47 – 1, at this point they are ready to continue. Show Table 47 -1 Lathe cutting speed table quiz. 3. Work through the math example embedded in the CTE lesson. The math formula for calculating RPM’s is CS x 4 / D Where RPM’s = Revolutions per minute CS = Cutting Speed D = Diameter of work in inches Cutting speed for machine steel is 90 ft per minute, taken directly from the speeds and feeds chart and your asked for a rough cut finish. Keep in mind that the speeds shown in Table 47 – 1 Speeds and Feeds should only be considered a starting point. Depending on machine condition, they may have to be increased or decreased until optimum cutting conditions are obtained Show Table 47 -1 Lathe Cutting Speeds Rough cut finish =.010 to.020 RPM’s = 90 x 4 / 3 RPM = 120 Items in blue are feeds rates that are determined from the same chart, Table 47 – 1 the middle table for feed rates. These feed rates are based on a how you are looking for the end appearance of your part after you take a cut. For extra remedial work if necessary look at Table 47 -1 page 1 for extra examples. Show Table 47 -1 page 1

12. Lathe Cutting Speeds in Feet and Meters per Minute Using a High-Speed Steel Toolbit Rough CutFinish CutThreading Materialft/minm/minft/minm/minft/minm/min Tool Steel70219027309 Cast Iron60188024258 Machine Steel9027100303511 Bronze902710030258 Aluminum20061300936018 Feeds for Various Materials (Using a High-Speed Steel Cutting Tool) Table 47-2 Rough Cuts In. Rough Cuts mm Finish Cuts In. Finish Cuts mm Machine Steel.010-.0200.25-0.5.003-.0100.07-0.25 Tool Steel.010-.0200.25-0.5.003-.0100.07-0.25 Cast iron.015-.0250.4-0.65.005-.0120.13-0.30 Bronze.015-.0250.4-0.65.003-.0100.07-0.25 Aluminum.015-.0300.4-0.75.005-.0100.13-0.25 Machine Time CalculationsRPM’s Time = Distance/Rate Where distance = length of cut Rate = feed x rpm’s CS x 4 / Diameter

13. Rough Cut Finish =.010 to.020 Material – Machine Steel RPM = CS x 4 / 3 90 x 4 / 3 = RPM = 120 Rough CutFinish CutThreading Materialft/minm/minft/minm/minft/minm/min Tool Steel70219027309 Cast Iron60188024258 Machine Steel9027100303511 Bronze902710030258 Aluminum20061300936018 Feeds for Various Materials (Using a High-Speed Steel Cutting Tool) Table 47-2 Rough Cuts In. Rough Cuts mm Finish Cuts In. Finish Cuts mm Machine Steel.010-.0200.25-0.5.003-.0100.07-0.25 Tool Steel.010-.0200.25-0.5.003-.0100.07-0.25 Cast iron.015-.0250.4-0.65.005-.0120.13-0.30 Bronze.015-.0250.4-0.65.003-.0100.07-0.25 Aluminum.015-.0300.4-0.75.005-.0100.13-0.25

14. 2.Assess students’ math awareness as it relates to the CTE lesson. In the past you have learned how to interpret the charts on a metal lathe to acquire the information necessary to produce your part, from the safety quiz hand out sheet could you give me the number correlating to spindle speeds? Feeds and Speeds? Threading chart? Can anyone explain what CS actually is? Having already completed a couple of projects to date can anyone tell me where they would go to find the information required to begin calculating the RPM’S for a project Show Jet Gh114w-3 safety quiz. Cutting speed is the distance the work moves past the tool, expressed in feet per minute. The students should be able to go and retrieve the information from the book on table 47 – 1, at this point they are ready to continue. Show Table 47 -1 Lathe cutting speed table quiz. 3. Work through the math example embedded in the CTE lesson. The math formula for calculating RPM’s is CS x 4 / D Where RPM’s = Revolutions per minute CS = Cutting Speed D = Diameter of work in inches Cutting speed for machine steel is 90 ft per minute, taken directly from the speeds and feeds chart and your asked for a rough cut finish. Keep in mind that the speeds shown in Table 47 – 1 Speeds and Feeds should only be considered a starting point. Depending on machine condition, they may have to be increased or decreased until optimum cutting conditions are obtained Show Table 47 -1 Lathe Cutting Speeds Rough cut finish =.010 to.020 RPM’s = 90 x 4 / 3 RPM = 120 Items in blue are feeds rates that are determined from the same chart, Table 47 – 1 the middle table for feed rates. These feed rates are based on a how you are looking for the end appearance of your part after you take a cut. For extra remedial work if necessary look at Table 47 -1 page 1 for extra examples. Show Table 47 -1 page 1

15. Using the above charts calculate the proper feeds, and speeds, for the following problems using a HSS Tool Bit. 1.Face off one end of a 2” diameter tool steel shaft, then turn the end of that shaft to a diameter of 1.875 by 5.000 long. Then turn the 1.875 diameter to a diameter of 1.250 by.687 long, on one end of the shaft. Calculate the RPM’S, for a rough cut process. Show all work. 2.Face off the end of a.500 tool steel shaft, then turn the diameter to.437 by.750 long. Calculate RPM’S for a finish cut process. Show all work. Rough CutFinish CutThreading Materialft/minm/minft/minm/minft/minm/min Tool Steel70219027309 Cast Iron60188024258 Machine Steel9027100303511 Bronze902710030258 Aluminum20061300936018 Feeds for Various Materials (Using a High-Speed Steel Cutting Tool) Table 47-2 Rough Cuts In. Rough Cuts mm Finish Cuts In. Finish Cuts mm Machine Steel.010-.0200.25-0.5.003-.0100.07-0.25 Tool Steel.010-.0200.25-0.5.003-.0100.07-0.25 Cast iron.015-.0250.4-0.65.005-.0120.13-0.30 Bronze.015-.0250.4-0.65.003-.0100.07-0.25 Aluminum.015-.0300.4-0.75.005-.0100.13-0.25

16. 4. Work through related, contextual math-in-CTE examples. Now let’s look at some other samples of how Cutting Speeds effect the RPM’S if different diameter shafts. Look at Table47 – 1 Lathe Cutting Speed page 2 and solve the following problems, showing all of your work. Table 47 – 1 page 2 now adds the addition task of calculating the RPM’S for different kinds of materials as well as now asking for a specific finish after the cut. Problem 1. Show Table 47 – 1 page 2 at this point students are given the appropriate amount of time to complete the work sheet. 5. Work through traditional math examples.

17. Using the above charts calculate the proper feeds, and speeds, for the following problems using a HSS Tool Bit for all problems. 1.Face off one end of a 4” diameter Aluminum shaft, then turn the end of that shaft to a diameter of 2.550 by 3.000 long. Then turn the 2.550 diameter to a diameter of 1.9375 by 1.500 long, on one end of the shaft. Calculate the RPM’S to produce a finish machine process. Show all work. 2.Face off a 2.250 diameter Bronze shaft, then turn the shaft to a diameter of 1.9375 by.9375 long. Next turn the 1.9375 diameter to a new diameter of 1.375 by.750 and produce a finish machine process. Show all work. Rough CutFinish CutThreading Materialft/minm/minft/minm/minft/minm/min Tool Steel70219027309 Cast Iron60188024258 Machine Steel9027100303511 Bronze902710030258 Aluminum20061300936018 Feeds for Various Materials (Using a High-Speed Steel Cutting Tool) Table 47-2 Rough Cuts In. Rough Cuts mm Finish Cuts In. Finish Cuts mm Machine Steel.010-.0200.25-0.5.003-.0100.07-0.25 Tool Steel.010-.0200.25-0.5.003-.0100.07-0.25 Cast iron.015-.0250.4-0.65.005-.0120.13-0.30 Bronze.015-.0250.4-0.65.003-.0100.07-0.25 Aluminum.015-.0300.4-0.75.005-.0100.13-0.25

18. Mark

19. 6. Students demonstrate their understanding. For the remaining time left in this lesson you will be given a print of a project. Upon receiving your print you will need to complete a Job Planning Sheet for that particular part and submit that to me. You will have to identify your material that is required and follow through with your Job Planning Sheet and machine your part as required on your print. You will be able to assess your work when you finish the project part by following the Evaluation Sheet on the back of your print. After you have completed your evaluation sheet then you will have to complete your formal inspection of the part as well. Show Job Planning Sheet. The Job Planning Sheet has been covered in previous lesson plans. Show print that a first semester machinist might work on. Show assessment page on back of print. 7. Formal assessment. Your formal assessment will be done following the rubric designed for the task at hand. The rubric follows closely with the one that is printed on the back of each of the prints that you will receive. I will check the tolerances with you so that you can see just where if any, there is a problem. The part will be taken to the inspection table where it will be The part will be taken to the inspection table where it will be inspected by the teacher with the student observing. It will have to meet the tolerances listed on the print and if not listed they will have to meet the house standards. Each student is aware of these house standards and has a copy of these standards in their folders.

22. 6. Students demonstrate their understanding. For the remaining time left in this lesson you will be given a print of a project. Upon receiving your print you will need to complete a Job Planning Sheet for that particular part and submit that to me. You will have to identify your material that is required and follow through with your Job Planning Sheet and machine your part as required on your print. You will be able to assess your work when you finish the project part by following the Evaluation Sheet on the back of your print. After you have completed your evaluation sheet then you will have to complete your formal inspection of the part as well. Show Job Planning Sheet. The Job Planning Sheet has been covered in previous lesson plans. Show print that a first semester machinist might work on. Show assessment page on back of print. 7. Formal assessment. Your formal assessment will be done following the rubric designed for the task at hand. The rubric follows closely with the one that is printed on the back of each of the prints that you will receive. I will check the tolerances with you so that you can see just where if any, there is a problem. The part will be taken to the inspection table where it will be The part will be taken to the inspection table where it will be inspected by the teacher with the student observing. It will have to meet the tolerances listed on the print and if not listed they will have to meet the house standards. Each student is aware of these house standards and has a copy of these standards in their folders.

24. 6. Students demonstrate their understanding. For the remaining time left in this lesson you will be given a print of a project. Upon receiving your print you will need to complete a Job Planning Sheet for that particular part and submit that to me. You will have to identify your material that is required and follow through with your Job Planning Sheet and machine your part as required on your print. You will be able to assess your work when you finish the project part by following the Evaluation Sheet on the back of your print. After you have completed your evaluation sheet then you will have to complete your formal inspection of the part as well. Show Job Planning Sheet. The Job Planning Sheet has been covered in previous lesson plans. Show print that a first semester machinist might work on. Show assessment page on back of print. 7. Formal assessment. Your formal assessment will be done following the rubric designed for the task at hand. The rubric follows closely with the one that is printed on the back of each of the prints that you will receive. I will check the tolerances with you so that you can see just where if any, there is a problem. The part will be taken to the inspection table where it will be The part will be taken to the inspection table where it will be inspected by the teacher with the student observing. It will have to meet the tolerances listed on the print and if not listed they will have to meet the house standards. Each student is aware of these house standards and has a copy of these standards in their folders.

26. 6. Students demonstrate their understanding. For the remaining time left in this lesson you will be given a print of a project. Upon receiving your print you will need to complete a Job Planning Sheet for that particular part and submit that to me. You will have to identify your material that is required and follow through with your Job Planning Sheet and machine your part as required on your print. You will be able to assess your work when you finish the project part by following the Evaluation Sheet on the back of your print. After you have completed your evaluation sheet then you will have to complete your formal inspection of the part as well. Show Job Planning Sheet. The Job Planning Sheet has been covered in previous lesson plans. Show print that a first semester machinist might work on. Show assessment page on back of print. 7. Formal assessment. Your formal assessment will be done following the rubric designed for the task at hand. The rubric follows closely with the one that is printed on the back of each of the prints that you will receive. I will check the tolerances with you so that you can see just where if any, there is a problem. The part will be taken to the inspection table where it will be The part will be taken to the inspection table where it will be inspected by the teacher with the student observing. It will have to meet the tolerances listed on the print and if not listed they will have to meet the house standards. Each student is aware of these house standards and has a copy of these standards in their folders.