S2 (2.2) Pythagoras.notebook March 04, 2016
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1 S2 (2.2) Pythgors.noteook Mrh 04, 2016 Dily Prtie Q1. Multiply out nd simplify 9x 3(2x + 1) Q2. Solve the eqution 3(2x + 4) = 18 Q3. If 1 = $1.30, how muh is 50 in dollrs? Tody we will e lerning out Pythgors' Theorem. Bring in sientifi lultor or 4 to uy one in shool. Q4. Ftorise Q5. Find 15% of 900 Pythgors' Theorem A theorem is word to desrie Mthemtil ide tht hs een proven true. Pythgors ws Greek Mthemtiin tht ws orn in pprox. 569BC. The Pythgoren theorem sttes tht the sum of the squres of the two shorter sides in right-ngled tringle is equl to the squre of the longest side. Pythgors' Theorem In right-ngled tringle, the longest side is lled the Hypotenuse. It is lwys ross from the right ngle. Although there re mny prior instnes of the use of the ide y the Egyptins nd Bylonins. The proof is generlly redited to Pythgors. Pythgors' Theorem - Proof Drw right ngled tringle with sides 3m, 4m nd hypotenuse of 5m
2 S2 (2.2) Pythgors.noteook Mrh 04, 2016 Dily Prtie Q1. Round to 2 deiml ples Q2. Clulte the height of uoid with volume of 300m 3, redth of 20m nd length of 3.75m Q3. Clulte Andy's wges if he erns per hour nd works for 6 hours. Tody we will e using Pythgors' Theorem to work out questions. Q4. Solve the eqution 9m - 2 = 3m + 4 Q5. Pythgors' Theorem - Proof Pythgors' Theorem - Proof Pythgors' Theorem Pythgors' Theorem Pythgors' Theorem is used to find missing side in right-ngled tringle. Exmples: 1. Clulte the length of p = 2 15m p m 8m
3 S2 (2.2) Pythgors.noteook Mrh 04, 2016 Dily Prtie Q1. Round to 3 deiml ples Q Q3. Solve 3(2x - 1) + 4x = 27 Q4. Ftorise 2x 2 h - xh Q x 4 Pythgors' Theorem Exmples: Tody we will e using Pythgors' Theorem to find the length of missing side in tringle. 2. A pole is held up vertilly y two identil piees of rope. If the pole is 16metres tll nd it is pinned onto the ground 18 metres wy from the foot of the pole. How long re the piees of rope? 16m Dily Prtie Dily Prtie Q1. Snt's elves work overtime during the Holidy Seson t rte of time nd hlf. If they normlly ern 60 North Pole oins per hour, how muh will they ern for 20 hours overtime? Q Q2. Find 15% of 7000 Q2. If the temperture in the North Pole is C nd the temperture in Edinurgh is 9 0 C, wht is the differene in temperture? Q3. Multiply out nd simplify 7(2x - 1) + 3x Q4. Q x 700 Q3. Solve the eqution 6x - 2 = 4x + 18
4 S2 (2.2) Pythgors.noteook Mrh 04, 2016 Pythgors' Theorem A 14m B Clulte the length of AC Tody we will e ontinuing to use Pythgors' Theorem to find the length of missing side in right-ngled tringle. 16m C Pythgors' Theorem Exmples: 2. A pole is held up vertilly y two identil piees of rope. If the pole is 16metres tll nd it is pinned onto the ground 18 metres wy from the foot of the pole. How long re the piees of rope? Dily Prtie Q Find of Q Round $ to deiml ple Q Solve x! 16m Q Q Multiply out nd simplify )x * )x + * Pythgors' Theorem - Finding shorter side Tody we will e ontinuing to prtise questions on how to find the shorter side using Pythgors
5 S2 (2.2) Pythgors.noteook Mrh 04, 2016 Pythgors' Theorem - Finding shorter side Exmples: 1. Clulte the length of p to 1 d.p. p m 22m Pythgors' Theorem - Finding shorter side Exmples: 2. A rmp leding onto doorstep is 2.5m long. The height of the rmp is 0.3m. How fr wy is the rmp from the door. 8m Pythgors' Theorem - Finding shorter side Q1. 92 x 4000 Dily Prtie Q (-4) Q Q4. Solve 3(2x - 1) = 21 Pegsys Q5. Krl ought ike in the sle for 340, it ws originlly 400. Wht perentge ws it redued y? Dily Prtie Tody we will e working on mixed Pythgors Questions. 20 Questions Mentl Mths HW online due Fridy Pge 213 Ex. 7 Q1. If finished, pge 214, 215 odd numered questions
6 S2 (2.2) Pythgors.noteook Mrh 04, 2016 Tody we will e ompleting hek-up on Pythgors Theorem. Homework due Fridy.
7 S2 (2.2) Pythgors.noteook Mrh 04, 2016
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