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| 1 | {{box cssClass="floatinginfobox" title="**Contents**"}} | ||
| 2 | {{toc start=2 depth=2 /}} | ||
| 3 | {{/box}} | ||
| 4 | |||
| 5 | == Allgemeines == | ||
| 6 | |||
| 7 | === Aufgabe 1 === | ||
| 8 | |||
| 9 | Handelt es sich um eine Summe, ein Produkt oder eine Potenz? | ||
| 10 | |||
| 11 | a) {{formula}} 2 \cdot a + 3 {{/formula}} | ||
| 12 | |||
| 13 | b) {{formula}} 2 \cdot (a + 3) {{/formula}} | ||
| 14 | |||
| 15 | c) {{formula}} 2 \cdot a^3 {{/formula}} | ||
| 16 | |||
| 17 | d) {{formula}} 2^{(a + 3)} {{/formula}} | ||
| 18 | |||
| 19 | (% style="border: 1px solid #ddd; white-space: nowrap" %) | ||
| 20 | |= AFB | I |= Operatoren | nennen |(% style="width: 100%; " %)\\ | ||
| 21 | |= Quelle | KMap |= Lizenz | CC BY-SA |(% style="width: 100%; " %)\\ | ||
| 22 | |||
| 23 | === Aufgabe 2 === | ||
| 24 | |||
| 25 | |||
| 26 | Lalala | ||
| 27 | |||
| 28 | (% style="border: 1px solid #ddd" %) | ||
| 29 | |= AFB | II |= Quelle | KMap |(% style="width: 100%; " %)\\ | ||
| 30 | |=(% colspan="2" %) Operatoren |(% colspan="2" %) begründen | | ||
| 31 | |||
| 32 | === Aufgabe 3 === | ||
| 33 | |||
| 34 | Fasse zusammen! | ||
| 35 | |||
| 36 | a) {{formula}} 3a - 2 \cdot (a - 5b) {{/formula}} | ||
| 37 | |||
| 38 | b) {{formula}} (2a - 4b):2 + 3a + b {{/formula}} | ||
| 39 | |||
| 40 | (% style="border: 1px solid #ddd" %) | ||
| 41 | |= AFB | I |= Quelle | Serlo |(% style="width: 100%; " %)\\ | ||
| 42 | |=(% colspan="2" %) Operatoren |(% colspan="2" %) rechnen |\\ | ||
| 43 | |||
| 44 | == Potenzen == | ||
| 45 | |||
| 46 | == Wurzeln == | ||
| 47 | |||
| 48 | == Brüche == | ||
| 49 | |||
| 50 | == Zusammenfassen == | ||
| 51 | |||
| 52 | === Aufgabe 1 === | ||
| 53 | |||
| 54 | Löse die Klammern auf und fasse zusammen! | ||
| 55 | |||
| 56 | a) {{formula}} -(a-b) + 1 -(a-b) + 2a - 2b {{/formula}} | ||
| 57 | |||
| 58 | b) {{formula}} \frac{2}{3}a + \frac{b}{6} - \frac{a}{3} + \frac{-b}{3} {{/formula}} | ||
| 59 | |||
| 60 | c) {{formula}} a + 2ab + b -2a - ab {{/formula}} | ||
| 61 | |||
| 62 | (% style="border: 1px solid #ddd" %) | ||
| 63 | |= AFB | I |= Quelle | KMap |(% style="width: 100%; " %)\\ | ||
| 64 | |=(% colspan="2" %) Operatoren |(% colspan="2" %) rechnen |\\ | ||
| 65 | |||
| 66 | == Ausmultiplizieren == | ||
| 67 | |||
| 68 | === Aufgabe 1 === | ||
| 69 | |||
| 70 | Multipliziere aus und fasse ggf. zusammen! | ||
| 71 | |||
| 72 | a) {{formula}} (a+b)(a-b) {{/formula}} | ||
| 73 | |||
| 74 | b) {{formula}} -(a + 2) (b - 2) {{/formula}} | ||
| 75 | |||
| 76 | c) {{formula}} \frac{2}{3} (9a-6b) {{/formula}} | ||
| 77 | |||
| 78 | (% style="border: 1px solid #ddd" %) | ||
| 79 | |= AFB | I |= Quelle | KMap |(% style="width: 100%; " %)\\ | ||
| 80 | |=(% colspan="2" %) Operatoren |(% colspan="2" %) nennen |\\ | ||
| 81 | |||
| 82 | == Ausklammern == | ||
| 83 | |||
| 84 | == Binome == | ||
| 85 | |||
| 86 | === Aufgabe 1 === | ||
| 87 | |||
| 88 | Berechne mit Hilfe der binomischen Formeln! | ||
| 89 | |||
| 90 | a) {{formula}} ( a+ 3 )^{2}= {{/formula}} | ||
| 91 | |||
| 92 | b) {{formula}} -(a + 2) (a - 2)= {{/formula}} | ||
| 93 | |||
| 94 | c) {{formula}} ( 2a- 4 )^{2}= {{/formula}} | ||
| 95 | |||
| 96 | (% style="border: 1px solid #ddd" %) | ||
| 97 | |= AFB | I |= Quelle | - |(% style="width: 100%; " %)\\ | ||
| 98 | |=(% colspan="2" %) Operatoren |(% colspan="2" %) rechnen |\\ |