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