Answer either part (a) or part (b). If you answer both correctly, I will count the second
answer as a Bonus (if you attempt both, be sure to indicate which one you wish counted for
credit)
a) Determine the digits corresponding to each letter. Digits may not be used for more than
one letter.
MEET
+ MOST
TEENS
b) Determine the digits corresponding to each letter. Digits may not be used for more than
one letter.
MATH
+ MATH
HAB I T
Answers
Answer:
c
Mark me brainest please
Answer:
This problem solving unit is suitable for Level 5 (or Level 6) students.
In this problem solving unit, we look at numbers that fit into a triangular arrangement of circles. The point of this unit is to give students a chance to
see how mathematicians operate
display ingenuity and creativity
practice arithmetic in context
learn what generalisations, extensions, conjectures, theorems, and proofs are
work through a completely novel situation and try to develop a mathematical theory around it
Specific Learning Outcomes
solve a mathematical problem
see how to generalise and extend a problem
understand why and how mathematical statements may be justified
work with others to solve a problem and generate ideas
Description of Mathematics
Like all of the Problem Solving units, this one aims to introduce students to the underlying ideas of mathematics through a problem. The problem here requires only a simple knowledge of arithmetic but the process we go through demands a considerable use of ingenuity and creativity. In this unit we see how a mathematical theory might develop through experimentation, conjecturing, proving, generalising and extending. We also see that some proofs are ‘nicer’ than others.
As with all of these units it is difficult to break the development here up into lessons as we can never be quite sure how any particular class will progress. This will depend both on their ability and on your scaffolding. The right question asked at the right time will enable more rapid progress. However, you don’t want to make it too rapid!
Again like many of the units this one can be used at a variety of Levels. We have used it with students from 8 years old upwards. (It also makes a useful workshop for teachers.) Naturally you will expect older students to get further. With younger students it is probably enough to get all four answers and to make conjectures about the sorts of sets that will work and the number of answers that might be possible. But most classes we have worked with can be scaffolded into noticing Method 4 of the proof that there are only four answers for 1, 2, 3, 4, 5, 6. They can also start on the Eighth Circle Problem and the Homelink.
If your class hasn’t attempted the V-sets Problem Solving unit, we suggest you do that before this unit as it will give your students a good lead into some of the ideas that we used here.
As we have listed this unit for Levels 5 and 6, we have included some algebra. This may be omitted if you feel that it is too hard for your class. However, it might be a good extension aspect of the main problem and be valuable for your brighter students.