A good detective finds patterns to catch a criminal. Perhaps there is a pattern to a crime spree that allows the detective to predict where the criminal will strike next. Perhaps a pattern can lead to more evidence. Whatever the case, detectives need to develop the skill of determining patterns in the data.
Before we go further, let's take a trip outside to find some patterns on the playground and patterns in the parking lot:
Go outside with the class.
Now, back inside, let's take our case beyond simple observation. Just as in the previous module, numbers often require us to infer and predict. Most of the time, we can do so with reasonable expectation that our conclusions can be right or wrong...but not always.
Click on each image to enlarge it:
What did I tell you about sticking to the facts? You can't be sure which solution is correct in the slides above. Of course, if you stick to the facts in the problem below, the solution should be simple:
See how finding a pattern can solve problems quicker and with less effort? Now consider a man named Karl Gauss in these images:
Always refer to the Learning Intentions
and Success Criteria for help along the way!
Ready to tackle some patterns in Math?
The teacher's about to take you deeper
with patterns, multiplication, and more!
While we're here, if there is time, the teacher will help you make some patterns of your own called tessellations. These are shape patterns that repeat and fit into each other as if by magic.
Artist M. C. Escher took tessellations to a whole new level in his works.
Finally, here is a list of challenges our class might work on to get the creative juices flowing in the next few days: