V I Resourcing Ltd User Guide – Accessible PDFs Alt text for GCSE & International GCSE Mathematics Copyright V I Resourcing Ltd 2015 Manual prepared for the use of V I Resourcing Ltd. V1 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. GCSE Numbers Example Alt Text 53 n/a 16 n/a No alt text needed unless the question asks for the value of the number, e.g. ‘what is the value of 7 in 1579’, then say the figures separately e.g. one, five, seven, nine. 2214 1 000 000 km Notes 1 million km or no alt text so it reads numbers individually. Depending on the question. Currency Example Alt Text Notes £3.45 n/a Assistive technology (AT) says 3 pounds 45 pence £0.99 n/a Assistive technology (AT) says 99 pence n/a Assistive technology (AT) says 2 thousand 2 hundred 14 pounds. £2,214 Copyright V I Resourcing Ltd 2015 V11 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. Dates Example Alt Text Notes Assistive technology (AT) says two thousand 15 2015 Abbreviations Example Alt Text cm n/a leave to read cm mm n/a km n/a m n/a l n/a centimetres n/a leave to read word Copyright V I Resourcing Ltd 2015 Notes V11 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. Basic symbols Example Alt Text 3+5 3 plus 5 8 + +3 8 plus, plus 3 5–3 5 minus 3 8 – -3 8 minus, minus 3 5x3 5 multiplied by 3 8 x +3 8 multiplied by, plus 3 6÷2 n/a 6 ÷ -2 6 divided by, minus 2 Pause after divided by (3 + 5) left parenthesis, 3 plus 5, right parenthesis Use parenthesis when in maths formula. Question ? (A) Use capital A to ensure it is pronounced correctly. (This doesn’t always work). (a) Copyright V I Resourcing Ltd 2015 Notes Pause after first plus Pause after first minus Pause after multiplied by V11 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. Example Alt Text x=y n/a 𝑥≠𝑦 x is not equal to y 𝑥≈𝑦 x is approximately equal to y x>y x is greater than y 𝑥≥𝑦 x is greater than or equal to y x<y x is less than y 𝑥≤𝑦 x is less than or equal to y 𝑥±𝑦 x plus or minus y 𝑥∓y x minus or plus y x! x factorial 3! 3 factorial 5:3 5 is to 3 5 : x2 5 is to x squared ∞ infinity 𝑥∝3 x varies as 3 𝑥∝ 1 3 Notes x varies inversely as 3 Copyright V I Resourcing Ltd 2015 V11 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. Fractions 1 2 a half. (Sometimes one half fits in better.) No start fraction needed. 1 3 a third (or one third) No start fraction needed. 9 12 nine twelfths No start fraction needed. Start fraction, 1 over 25, end fraction If the denominator (bottom number) is more than 20 then start and end fraction is needed, describe the fraction as a number over a number. 1 25 𝑏+𝑐 𝑎 − 𝑑−𝑒 × 𝑓 a minus, start fraction, b plus c, over, d minus e, end fraction, multiplied by f Grouping symbols Example Alt Text Notes √9 Square root of 9 square root 3 √27 5 √27 √ 𝑎+𝑏 𝑐 2√3 cubed root of 27 fifth root of 27 cubed root fifth root square root of start fraction a plus b over c end fraction. 2 square root of 3 Copyright V I Resourcing Ltd 2015 V11 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. Sets Example Alt Text ∈ is a member of 3 ∈ odd numbers 3 is a member of odd numbers ∉ is not a member of (A ∪ B) Left parenthesis, A union B, right parenthesis. A∪B A union B (A B) Left parenthesis, A intersection B, right parenthesis. AB A intersection B {a, b, c} Start set a, b, c end set Notes If on own no parenthesis needed Vectors Example Alt Text CD in terms of b (bold) and c (bold) Vector CD in terms of vector lowercase b and lowercase c Copyright V I Resourcing Ltd 2015 Notes V11 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. Times Example Alt Text Notes 09:47 O 9 47 Use capital O to sound like Oh. 09.47 O 9 47 09 47 O 9 47 09 00 O 9 hundred 17 30 17 30 Copyright V I Resourcing Ltd 2015 V11 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. To the power of Example Alt Text x2 x squared x3 x cubed x4 x to the power of 4 cm2 cm squared m3 m cubed km2 km squared m s-1 m s to the power of minus 1 a x 102 a multiplied by 10 squared a x 10-2 a multiplied by, 10 to the power of minus 2 slight pause after multiplied by xn+1 x to the power of n plus one n plus 1 runs together x-n x to the power of minus n y = 2x Y = 2 to the power of x Copyright V I Resourcing Ltd 2015 Notes V11 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. Functions Example Alt Text Notes f(x) f of x No parenthesis f ’(x) f dash of x No parenthesis f ’’ f double dash log2 log base 2 No spaces – runs together log2x or log2(x) log base 2, of x log base 2 runs together then a space before of x logey log base e of y log base e runs together then a space before of y Example Alt Text Notes sin or sine sine pronounce like sign cos coz cosine n/a tan n/a Trigonometry Sine Rule a sin A hyp, opp, adj sine rule start fraction lowercase A over sine uppercase A hype, opp, adj Copyright V I Resourcing Ltd 2015 V11 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. General Example Alt Text Notes °C n/a reads ok should say degrees C °F degrees F needs alt text as says Fahrenheit without. ( ... , ... , ... ) left paren dot dot dot, comma, dot dot dot, comma, dot dot dot, right paren. Data in a table e.g. 179 258 300 179.258.300 Use full stops to ensure table is read clearly with entries separated (dash) n/a no alt text – leave to read : (colon) n/a no alt text – leave to read v = u + at V=u+At Copyright V I Resourcing Ltd 2015 V11 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. IGCSE – additional points Example Alt Text 𝑑𝑦 𝑑𝑥 dy by dx n(A B) n left parenthesis, A intersection B, right parenthesis, dash. AC=Ø A intersection C equals the empty set. m s-1 m s to the power of minus 1. f:x ↦ 2x2 + 1 f of x equals 2x squared plus 1 g-1 : 𝑥 ↦ g inverse of x equals (A B) ∪ (A ∪ B)’ Left parenthesis, A intersection B, right parenthesis, union, left parenthesis, A union B, right parenthesis dash. n(C) lower case n left parenthesis, C, right parenthesis. Translate triangle ABQ by the vector 5 ( ) −2 Translate triangle ABQ by the vector 5, minus 2 pause after 5 5 −7 1 a=( ) b=( ) c=( ) −2 7 0 Vector a equals 5, minus 2. Vector b equals 1, 7. Vector c equals minus 7, 0. Don’t use the word ‘over’ when giving vectors – it is the order that is important. Copyright V I Resourcing Ltd 2015 Notes V11 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. Greek Letters Letter Greek Letter Name Alt text α Alpha Alpha β Beta Beta γ Gamma Gamma δ Delta Delta ε Epsilon Epsilon ζ Zeta Zeeta η Eta Eeta θ Theta Theeta ι Iota Iota κ Kappa Kappa λ Lambda Lambda μ Mu Myou ν Nu Nyou ξ Xi Ksigh ο Omicron Ohmickron (emphasis on Oh) π Pi Pie ρ Rho Row σ Sigma Sigma τ Tau Tow (as now) Copyright V I Resourcing Ltd 2015 V11 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA. υ Upsilon Upsilon φ Phi Figh χ Chi Kigh ψ Psi Psigh ω Omega Ohmega (emphasis on Oh) Copyright V I Resourcing Ltd 2015 V11 This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA.