Math In Cte Lesson Plan Template Page 2
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2. Assess students’ math awareness as it relates to the CTE
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lesson.
This is notation for 25 feet 3
inches.
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In carpentry what does this number mean: 25-3
?
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3
3
8
8
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Can anyone tell me how to turn 25 feet 3
inches into a number of feet
To find this turn,
to 0.375, so 3
” is 3.375” as a decimal; divide 3.375
(as a decimal)?
by 12 to change inches to feet and the answer is 25.28 ft (rounded to
the nearest hundredth). Some students may be able to do this, many
will not. Even the students that can do this calculation have a difficult
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time with the explanation.
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Let’s try an easier one. Who can turn 3
” into decimal form?
” = 0.25”, 3
” = 3.25”
That one was easier because you probably knew that ¼ = 0.25, but
Divide the number on top (the numerator) by the number on the bottom
what would you have done mathematically if you did not know this? In
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(the denominator).
other words, how to you turn a fraction into a decimal? Use your
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calculator to change
to a decimal.
12
7” is
of a foot, so divide 7 by 12 to get about 0.58. Final answer 4.58’.
Now, how do you take a measurement like 4’ 7” and change that to
just a number of feet (it will be a decimal number)?
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13
16
16
So let’s put this all together and turn 16-8
into decimal form (in feet).
Begin by turning
to 0.8125, so we have 8.8125”. Now divide by 12 to
turn this to feet: 8.8125÷12=0.734’ (to the nearest thousandth). Final
answer is 16.734’.
3. Work through the math example embedded in the CTE lesson.
We need to be able to calculate a diagonal for a rectangular slab, or a
Begin with 10 ¾” turning to 10.75” and divide by 12 to get about 0.896.
corner for concrete forms of a foundation, basically anything we want
The first dimension is then 10.896’. Likewise, we get 14.635’ for the
to be square. We use the Pythagorean Theorem for this, but we need
second dimension. On a side note, it is helpful if students have certain
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to be in one unit (not mixed units like feet-inches). Let’s take a couple
decimal/fraction conversions memorized. Knowing that ¼ =0.25 or that
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of dimensions like 23-10 ¾ x 14-7
and convert then to decimals so
= 0.625 makes it quicker and easier to do this work.
we have a number of feet to use in the Pythagorean Theorem.
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