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Lesson Guide for Day 28 of the Construction Foundation Course

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- 1. LEARN – DAY 28 Construction Foundation Course
- 2. Week Six: Day 28 (Wednesday) Content for the day • Blueprints • Construction Math • Tools and Equipment
- 3. Week Six: Day 28 Wednesday) Materials for the day • Resource 5.1 – Minute Measure PPT • Calculators • Architect’s ruler • Wood samples (boards) in the following lengths: • 1”x 12” x 12” long • 2” x 6” x 12” long • 1” x 6” x 24” long • 4” x 6” x 6” long • Resource 6.7 - Board Foot Cost Calculations Worksheet • Resource 6.8 - Board Foot Cost Calculations Answer Sheet • Resource 5.26 – Name That
- 4. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 1 • Check-in: Shake hands. Remind students: binders, seating. Start class. • Review the day: Review the day’s activities from the list on the board or chart paper. • Binder check: This can be done at any time during the day.
- 5. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 2 5 min. Do Minute Measure, slide 8 50 min. Explain that Mr. Plaza was a divorced Dad with two boys, ages 4 and 7, when he first built the cabin. The boys slept upstairs in the loft and bugged their Dad about taking them to the cabin as often as possible. It’s now 4 years later and Mr. Plaza is planning to marry a wonderful woman who loves him, the kids, and the cabin. However, the boys are now 8 and 11 and having one bathroom for 4 people in a small cabin is a bit difficult. Blueprints
- 6. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 3 Additionally, the boys generate a lot of laundry, and it’s a long way in to town to the Laundromat. And finally, Mr. Plaza’s new wife is a very successful author of children’s books, but her publisher’s schedule sometimes pushes her to work on weekends and holidays at the cabin. The boys are great, but they are also very noisy. She really needs a quiet place to work, even if it’s a small area.
- 7. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 4 In a family meeting, the Plazas decide to build a small addition to the back of the cabin, adding a bathroom, laundry area, and small study. To keep expenses down, they plan to use a shed roof on the addition and place the second bathroom (a duplicate of the existing one) right behind the original bathroom, so the two rooms can “share” plumbing fixtures. The window currently shown in the rear elevation will be changed to a door.
- 8. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 5 Your job, as pair-shares this hour, is to create a 1:48 scale drawing of the new addition shown as a floor plan and a NTS drawing of the side elevation, showing the new addition with the shed roof. Put in as many symbols, lines, and notes as possible. Instead of using graph paper for this project, you’ll be using your architect’s ruler. Review use of the architect’s ruler, using the ¼ scale in your examples. Have students practice. Then give them the rest of the hour to make their drawings. 5 min. Have students display their work and do a Gallery Walk to look at others. Stretch Break: Use the Gallery Walk for the stretch.
- 9. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 6 10 min. Remind students to take notes. Explain that our remaining lessons in Construction Math will deal with cost calculations. Today you will calculate the cost of building supplies and then the following two days you will calculate costs associated with your salary. Calculating how much building supplies will cost ensures materials are not wasted and material purchases are kept within budget; in life and at work, calculating costs is essential to good budgeting. Construction Math
- 10. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 7 The cost of lumber represents a high percentage of the building supply budget in most residential construction so today we will use lumber in our cost calculations. In construction, how lumber is priced varies. For instance, retail suppliers may provide quotes for framing lumber by the linear foot or by the piece, and wholesale suppliers by the board foot. Walk students through the following information noting the terms, illustrations and measurements on the white board. • Linear foot pricing is simply the length of the material without regard to the width and thickness; therefore the linear measurement of an 8’ x 2” x 12” board is 8’-0”. Large home improvement stores typically sell lumber by the linear foot. • Wholesale lumber companies usually sell by the board foot. It is different from linear measurement because board footage is calculated using the board’s volume. [Remind students of their previous calculation of board foot.]
- 11. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 8 Draw the following illustration on the white board. Remind students that the volume of one board foot is calculated as 12” x 12” x 1” = 144in3.
- 12. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 9 If available, hand out board samples for students to examine (start with 1 x 12). Note that framing lumber comes in many sizes. Each of these samples is equal to one Board Foot (BF) • 1”x 12” x 12” long • 2” x 6” x 12” long • 1” x 6” x 24” long • 4” x 6” x 6” long While the samples are being passed/examined, have students reread the formula for calculating board foot on pg. 63 and prepare a vocabulary card for for nominal size found in the text glossary. Pass out calculators and blank vocabulary cards. 15 min. Ask students for the formula used to calculate board feet. Number of Pieces x Thickness (in.) x Width (in.) x Length (ft.) 12
- 13. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 10 Use board foot to provide students with background knowledge on how formulas are developed. Ask students to turn to pg. 63 and show students how the formula in the text used to calculate board feet was arrived at: • Explain that board footage is the relationship or ratio between the volume of the board and the volume of a board foot. Use the following example to compare the volume of a linear foot of “2 x 4;” T = thickness in inches W = width in inches L = length in inches 2 x 4 = T” x W” x L’ = 2” x 4” x 12” = 96 cubic inches = .667 BF Board Foot T” x W” x L’ = 1” x 12” x 12” = 144 cubic inches .
- 14. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 11 • Explain that to save a step of changing every length into inches, the formula is shortened by expressing the length in feet: T” x W” x L’ 1” x 12” x 1’ • Ask if what we know about simplifying expressions can shorten the formula. Use wait time and build on answer to explain that the denominator can be changed to 12” : T” x W” x L’ 1” x 12” x 1’ .
- 15. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 12 Write the following practice exercises on the board. Have students work in pair-shares and use calculators to find the answers. . Practice Exercise I Practice Exercise II Calculate the board footage for one- foot lengths of the following: Now try with varying lengths. Replace theone-foot length with the given lengths: 2 x 6 [2x6x1÷12=1.0BF] 8’ x 0” length of 2 x 8 [2x8x8÷12=10.67BF] 2 x 8 [2x8x1÷12=1.33BF] 12’x0” length of 2x10[2x10x12÷12=20BF] 2 x 10 [2x10x1÷12=1.67BF] 14’x0”length of 2x6 [2x6x14÷14=14BF] 4 x 6 [4x6x1÷12=2BF] 10’0” length of 4x8 [4x8x10÷12=26.67BF] For each exercise, call on a pair share for the answer. Confirm answer with a second pair-share and ask them to explain their process.
- 16. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 13 10 min. Explain that lumber quotes and field notes are frequently expressed in construction shorthand like 12/8’ 4x8. Write the example on the white board and explain that the first number (12) indicates the number of pieces; the second number (8) is the length of material; the final figures (4 x 8) indicate the size of the lumber. So 12/8’ 4x8 would be 12 pieces of 8’ long 4 x 8’s. The BF formula is then modified to include the number of pieces. #pieces x T” x W” x L’ 12
- 17. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 14 Ask students to work in pair-shares to use this formula to calculate how many board feet there are in 12 pieces of lumber. 12x 4 x 8 x 8 = 256 BF 12 Call on a pair share for the answer. Confirm with a second pair-share and ask them to explain their process. Point out that the 12’s cancelled out. .
- 18. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 15 Write these practice exercises on the board. Have students work in pair-shares and use calculators to find the answers. .Calculate the board footage for the following quantities: [Answers] 16/10’ 2 x 4 [16 x 2 x 4 x 10 ÷ 12 = 106.67 BF] 12/12’ 4 x 4 [12 x 4 x 4 x 12 ÷ 12 = 192 BF] 15/8’ 2 x 8 [15 x 2 x 8 x 8 ÷ 12 = 160 BF] Call on a pair share for the answer. Confirm with a second pair-share.
- 19. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 16 10 min. Explain that lumberyards deal in very large quantities of building materials. Their shipments arrive by the semi-truck or railroad car full. When giving quotes to customers, the quantity given is cost per thousand board feet. Write this example on the white board: 12 foot 2 x 4’s cost $575.00 per thousand board feet. Explain that this is written 575M, using the Roman numeral “M” for one thousand. Move the decimal point in $575.00 three places to the left to demonstrate how to determine the cost per board foot. Explain that the cost per board foot in this example is $0.575 or 57¢. Explain that after you determine the number of board feet, multiply the cost per board foot to get the total cost. .
- 20. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 17 Write this example on the white board: What is the cost of 1/12’ 2 x 4 @ 575M? #pcs. x T” x W” x L’ = BF x $ = Board Foot Cost 12 1 x 12 x 2 x 4 = 8 x .575 = $4.60 12 A 12’ 2x4 equals 8 BF and costs $4.60 each.
- 21. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 18 Ask students to work in pair-shares to use this formula to calculate the price for the following quantities that you write on the white board. Pass out Resource 6.7 - Board Foot Cost Calculations Worksheet while students solve problems. Calculate the board footage and the price for the following quantities: [Answers] 10/12’ 2 x 4 @ 480M [10 x 2 x 4 x 12 ÷ 12 = 80 BF x $0.48=$38.40] 5/16’ 4 x 6 @ 570M [5 x 4 x 6x 16 ÷ 12 = 160 BF x $0.57 = $91.20] Call on a pair share for the answer. Confirm with a second pair-share and ask them to explain their process.
- 22. Week Six: Day 28 (Wednesday) First and Second Hours (7:30 – 9:30) - 19 15 min. Remind students that all of the formulas need to be noted on the back of their board foot vocabulary card. Work in pair- shares to complete Resource 6.7 - Board Foot Cost Calculation Worksheet. Call on a pair share for the answer. Confirm with a second pair-share and ask them to explain their process. Snack Break (9:30-9:40) .
- 23. Week Six: Day 28 (Wednesday) Third and Fourth Hours (9:40 – 11:30) - 1 25 min. Utility knife and chisels demonstration. Follow directions for Day 23. 25 min. Staplers demonstration. Same as above. Tools and Equipment– Demonstrations
- 24. Week Six: Day 28 (Wednesday) Third and Fourth Hours (9:40 – 11:30) - 2 50 min. Students continue at work stations, moving on when they’ve reached at least a basic proficiency level. Students always complete their vocabulary cards for each new station before beginning work on proficiencies. Continue to balance the groups at the work stations so none are too crowded. Monitor carefully; initial proficiencies on your file copy and the student’s copy of the rubric as students demonstrate competency. Tools and Equipment– Hands-on exposure
- 25. Week Six: Day 28 (Wednesday) Third and Fourth Hours (9:40 – 11:30) - 3 Monitor student proficiency completion, so that you set up project stations as needed. 10 min. Play “Name That…” (See Appendix A for explanation of how to play Name That….) Use Resource 5.26. Reflection Out the door:Model Notes,Reflection, binders on the shelf, shake hands.
- 26. Week Six: Day 28 (Wednesday) AFTER HOURS • Academic extended day individual work (approximately 1 hour) • Open Computer Lab
- 27. END If you continue to click forward, you will see links to presentations of similar content available through slideshare.com Content prepared for the National Office of Job Corps through Contract No. DOLJ111A21695 Job Corps Professional Development Support - KUCRL

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