February Kindly contributed by Louise Dumbell. Search for Louise on

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Functional Skills Maths An introduction to Pythagoras’ theorem for building (roofing) students 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. Curriculum links Adult Numeracy N1/L2.4: Evaluate expressions and make substitutions in given formulae in words and symbols to produce results Underpins the following L2 Functional Maths coverage & range statements Understand 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 Feb 2013. Kindly contributed to www.skillsworkshop.org by Louise Dumbell.

Please note this is an animated PPT and should be run full screen Pythagoras’ Theorem Please note this is an animated PPT and should be run full screen Feb 2013. Kindly contributed to www.skillsworkshop.org by Louise Dumbell. This PowerPoint was used to introduce Pythagoras Theorem to E3 and L1 college students whose main course work is to do with the Building Trades. The last 4 slides therefore deal with using Pythagoras to calculate the length of roof rafters.

Square and square root of numbers What does 32 mean? 3 x 3 = 9 What does 42 mean? 4 x 4 = 16 What does 102 mean? 10 x 10 = 100 Feb 2013. Kindly contributed to www.skillsworkshop.org by Louise Dumbell.

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 2 What is √9 ? 3x3=9 so the √9 is 3 Feb 2013. Kindly contributed to www.skillsworkshop.org by Louise Dumbell.

Pythagoras’ Theorem What is Pythagoras’ Theorem used for? Given 2 sides of a right angled triangle to calculate the 3rd. What is a right angled triangle? What is the side opposite the right angle called? Hypotenuse Feb 2013. Kindly contributed to www.skillsworkshop.org by Louise Dumbell.

Pythagoras’ Theorem c2=a2+b2 Area = c x c = c2 Area = a x a = a2 Area = b x b = b2

Pythagoras’ Theorem If “c” is the hypotenuse and “a” and “b” are the other 2 sides then: c2=a2+b2

Pythagoras’ Theorem Calculate the missing lengths on these triangles: 13cm 4cm 12cm 5cm 3cm 5 cm Feb 2013. Kindly contributed to www.skillsworkshop.org by Louise Dumbell.

Pythagoras’ Theorem What is the missing length? 24cm 26cm 10cm Feb 2013. Kindly contributed to www.skillsworkshop.org by Louise Dumbell.

Pythagoras’ Theorem Calculate the height of this triangle: 5cm 5cm Feb 2013. Kindly contributed to www.skillsworkshop.org by Louise Dumbell. c2=a2+b2 so b2=c2-a2 = 52-(6÷2)2 = 25-9 = 16 b=√16 = 4 6cm

Cut roofing Rafter Rise Run Span Feb 2013. Kindly contributed to www.skillsworkshop.org by Louise Dumbell. Span If you know the Rise of a roof and the Span (or Run) then you can calculate the Rafter length.

Rafter Lengths If a roof has a rise of 4m and a run of 3m, what length rafters do you need? Answer: 5m Feb 2013. Kindly contributed to www.skillsworkshop.org by Louise Dumbell.

Rafter Lengths If a roof has a rise of 6m and a run of 8m, what length rafters do you need? Answer:10m Feb 2013. Kindly contributed to www.skillsworkshop.org by Louise Dumbell.

To check a right angle: 3m 4m 5m Feb 2013. Kindly contributed to www.skillsworkshop.org by Louise Dumbell. If you can make a triangle with the lengths shown then the angle between the short sides MUST be a right angle.