The 30-60-90 Challenge

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Goal:  Draw a 30 and 60 degree angle using only a framing square.  Twelve sided columns were used in many historical homes.  How did carpenters then (and now) use the framing square to create the needed angles of 30 and 60 degrees? Materials allowed:  Paper, pencil, framing square, and your knowledge about the ratios of the sides in a 30-60 … Read More

Geometry in ConstructionThe 30-60-90 Challenge

Happy Catering

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Happy Catering Clue 1 All catering packages feed 12 people. A green salad and 12 half wraps will cost $90. How much does a green salad cost?   Happy Catering Clue 2 Salads are large enough to feed 12 people. A green salad and 12 half burgers will set you back $90 A green salad cost the same as 4 … Read More

Geometry in ConstructionHappy Catering

Framing Square Lessons

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Materials needed: Access to a framing square. Access to a computer if needed for research. The framing square needs to be full size with all of the tables, etc on it. Many of the cheap squares will not have the tables.  1. Explain what this scale is used for and how to use it.  Illustrate with 12.9 feet.     … Read More

Geometry in ConstructionFraming Square Lessons

Create a Tool

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Goal:  Create a tape measure that will automatically (no calculation needed) calculate the diameter of a pipe by wrapping it around the outside (circumference) of the pipe.  The tape measure should be able to measure diameters up to 8 inches.  The tape measure should be accurate the the nearest 1/2 inch diameter. Explain/show the process you used to solve the problem. … Read More

Geometry in ConstructionCreate a Tool

Laying Out a Circle

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Old time carpenters were able to use framing squares to do amazing design work.  They were able to draw perfect circles with a framing square without using the center point of a circle. Challenge:  Draw a 6 inch diameter circle on a piece of OSB using a framing square without using the center point of the circle. Materials:  scrap OSB board, … Read More

Geometry in ConstructionLaying Out a Circle

Marking Angles Using a Speed Square

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The process for marking an angle using a speed square is shown below. Swing the square until you read the desired angle (33-1/2 degree) on the board’s edge (photo top left), and make your mark. The line shown being marked (with pencil) is a 33-1/2 degree angle. Math Standard: G.CO.9-10 Explain why this is true through a paragraph proof.  Use drawings … Read More

Geometry in ConstructionMarking Angles Using a Speed Square

Siding Decision

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Goal:  You are to make a recommendation on the type of fiber cement lap siding to be used. Should it be prefinished (already painted) or should you recommend unfinished fiber cement lap siding? It will need to be painted if you use unfinished cement lap siding.  The house is a 32’ by 40’ single story home with a 5:12 pitch. … Read More

Geometry in ConstructionSiding Decision

Trajectory Launcher

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Goal From your experience in wood fabrication and quadratics, develop an original product that has the ability to launch ping pong balls to hit targets at various ranges and heights using a parabolic curve Math Standards A.CED Create equations that describe numbers or relationships. F.IF Interpret functions that arise in applications in terms of context F.BF Build a function that … Read More

Geometry in ConstructionTrajectory Launcher

Pennies

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Not what you think. We are talking about a measure of the size of nails that uses the symbol, d. Why is it called “penny”? In England before the year 1488, the nail size was the price in pennies of 100 nails of that size. For example, 100 nails cost “16 pennies” and were named 16d. In addition, nails were … Read More

Geometry in ConstructionPennies

Landscape Irrigation: Circles Upon Circles

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Goal: Position 3 sprinkler heads in a 12 feet by 18 feet rectangular lawn to optimize water coverage but to minimize water waste. Watering an area twice is considered waste but watering the street or non-lawn areas is worse. The sprinkler heads are manufactured for a 6 foot spray radius. The heads can be set as full circle, half circle, … Read More

Geometry in ConstructionLandscape Irrigation: Circles Upon Circles