An introduction to Pythagoras theorem for building roofing students Curriculum links Adult Numeracy N1L24 Evaluate expressions and make substitutions in given formulae in words and symbols to produce ID: 379044
Download Presentation The PPT/PDF document "Functional Skills Maths" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Functional Skills MathsAn introduction to Pythagoras’ theorem for building (roofing) students
Curriculum links
Adult Numeracy
N1/L2.4: Evaluate expressions and make substitutions in given formulae in words and symbols to produce resultsUnderpins the following L2 Functional Maths coverage & range statementsUnderstand and use simple formulae and equations involving one- or two-step operations. Carry out calculations with numbers of any size in practical contexts, to a given number of decimal places References: Excellence Gateway (2009), Skills for Life, Core Curriculum http://www.excellencegateway.org.uk/sflcurriculum Ofqual (2009), Functional Skills criteria for English, Mathematics and ICT http://www2.ofqual.gov.uk/qualifications-assessments/89-articles/238-functional-skills-criteria
February 2013.
Kindly contributed by
Louise
Dumbell
.
Search
for
Louise on
www.skillsworkshop.org
Please refer to the download page for this resource on skillsworkshop.org for detailed curriculum links and related resources. Slide2
Pythagoras’ Theorem Please note this is an animated PPT and should be run full screenSlide3
Square and square root of numbers What does 32
mean?3 x 3 = 9What does 42 mean?4 x 4 = 16What does 102 mean?10 x 10 = 100Slide4
Square and square root of numbers What does the symbol mean?Square root – i.e. What number do you multiple by itself to get the original number?
What is √4 ?2x2=4 so the √4 is 2What is √9 ?3x3=9 so the √9 is 3Slide5
Pythagoras’ TheoremWhat is Pythagoras’ Theorem used for?Given 2 sides of a right angled triangle to calculate the 3
rd. What is a right angled triangle?What is the side opposite the right angle called?HypotenuseSlide6
Pythagoras’ Theorem c
2=a2+b2
Area = c x c = c
2Area = a x a = a2Area = b x b = b2Slide7
Pythagoras’ TheoremIf “c” is the hypotenuse and “a” and “b” are the other 2 sides then:c
2=a2+b2Slide8
Pythagoras’ TheoremCalculate the missing lengths on these triangles:
13cm 4cm 12cm 5cm 3cm 5 cm Slide9
Pythagoras’ TheoremWhat is the missing length?
24cm 26cm 10cmSlide10
Pythagoras’ TheoremCalculate the height of this triangle:
5cm
6cm
5cmc2=a2+b2 so b2=c2-a2 =52-(6÷2)2 = 25-9 = 16b=√16 = 4Slide11
Cut roofingRafter
RiseSpan
Run
If you know the Rise of a roof and the Span (or Run) then you can calculate the Rafter length. Slide12
Rafter LengthsIf a roof has a rise of 4m and a run of 3m, what length rafters do you need?
Answer: 5mSlide13
Rafter LengthsIf a roof has a rise of 6m and a run of 8m, what length rafters do you need?
Answer:10m Slide14
To check a right angle:4m
3m
5m
If you can make a triangle with the lengths shown then the angle between the short sides MUST be a right angle.