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ARITHMOGONS BENGT ÅHLANDER ARITHMOGONS. A WAY TO VARIATE THE EDUCATION AND PERHAPS SHOW THE STUDENTS THE BENEFITS OF CAS ARITHMOGONS.

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Presentation on theme: "ARITHMOGONS BENGT ÅHLANDER ARITHMOGONS. A WAY TO VARIATE THE EDUCATION AND PERHAPS SHOW THE STUDENTS THE BENEFITS OF CAS ARITHMOGONS."— Presentation transcript:

1 ARITHMOGONS BENGT ÅHLANDER ARITHMOGONS

2 A WAY TO VARIATE THE EDUCATION AND PERHAPS SHOW THE STUDENTS THE BENEFITS OF CAS ARITHMOGONS

3 Arithmogons addition 4+8=? 8+3=? 3+4=? 3 8 4 1211 7

4 Arithmogons addition 8+10 =? 10+6 =? 6+8 =? 6 10 8 1816 14

5 Arithmogons addition Try to find the numbers! Is there a pattern? 10 4 7 1114 17 ? ?

6 Arithmogons addition Sum of the squares = Sum of the circles = 11 9 2 20 13 44 22

7 Arithmogons addition 16 -2 11 914 2724 -5 19 1419 43

8 Arithmogons addition (a+b)+(b+c)+(a+c)=2*(a+b+c) a c b a +bb + c a + c

9 Arithmogons addition and algebra 6aa 3a 9a4a 7a ? ? 2b + 2 b b + 6 3b+82b+6 3b+2 ? ? ?

10 Arithmogons addition and algebra 2b + 2 b b + 6 3b+82b+6 3b+2

11 Arithmogons addition and partial fractions

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15 Arithmogons addition fractions TI Nspire CAS

16 Make a straight line beetwen the dots and decide the equation of the lines.

17 Chainrule at derivation of two factors

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