To find the number in the square,multiply the numbersin the two circles is connected to
Answers
Specific Learning Outcomes
devise rules based on numerical patterns to solve triangular arithmagons
explain the condition for the solution of any square arithmagon
form and use linear equations to solve triangular arithmagons
develop proofs of rules and conditions for the solution of arithmagons
Description of Mathematics
This unit is based around exploring ‘arithmagons’. Arithmagons are polygons with a circle number on each vertex and a box number on each side such that each box number is the sum of the two circle numbers adjacent to it.
In Session 1, students must notice that the sum of the two circle numbers on either side of a box number is equal to the box number. This is the basis of all the arithmagons throughout the unit. Students are likely to notice that in Questions 1 and 2 of Task 1, the box numbers form a sequence comprising three consecutive numbers of which two are odd and one is even, (one odd and two even leads to fractional circle numbers). They are also likely to notice that the circle numbers are also consecutive but in the opposite sense to the box numbers. So when the box numbers form a clockwise sequence, the circle numbers form a counter-clockwise sequence and vice versa. Noticing such features is key to generalising arithmagons.
Explanation:
I hope it helps you.
mark me as branliest.
follow me....