Tomorrow is the quiz on base 10, and number systems
Today we did some centers that helped us to review the concepts we have discussed this week.
Here are the centers and some review in case you need it before the quiz tomorrow.
Exponentiation
Expanded forms
Converting between bases
What’s the base?
If you understand and can do the above things, tomorrow’s quiz should be no problem for you.
Have a good one,
-Mr. Potter
Today was some more discussion involving the base 10 system, and other base systems. This entire discussion is meant to encourage a deeper understanding of our own system, and how this system is used in mathematics. If you understand better how numbers are grouped and constructed, you are better equipped to manipulate them.
First we wrote down an example in our math examples notebook just like yesterday:
Next we played around with creating numbers in base ten, focusing on how they are made up of ones, tens, hundreds, thousands, etc.
Students made number on the Smart Board using ones, tens, and hundreds.
Then we talked about what the place values would be in a base 2 system.
Instead of ones, tens, and hundreds we would have ones, twos, fours, eights, etc
Students made some more numbers on the Smart Board using these place values.
We also took down a few more examples:
We finally ended the day by watching a short video about black holes. I do this because I would like students to have a bit of a better sense of scale as we begin talking about bigger and bigger numbers.
Please remember – quiz on Friday on base 10, and number systems.
You should know how to break a number down into it’s individual place value parts (in base 10 and in any other base).
You should be able to count a number of objects in base 10, as well as in a base given to you.
Have a good one,
-Mr. Potter
Today we continued our talk of Base 10. We took some notes in our notebooks:
Next we talked about how base 10 numbers are made up of different parts, and talked about how we can write things in expanded form.
For example we might have something like 654.
This number is made up of:
6 hundreds = 6 x 100 = 6 x 10^2
5 tens = 5 x 10 = 5 x 10^1
4 ones = 4 x 1 = 4 x 10^0
Which led us into the discussion and explanation of how anything raised to the 0th power is 1.
We did an example of this expanded notation in our example notebooks:
We then talked about counting in base two. Base two only has 2 numerals: 0 and 1. This means we can only count up to 1 of anything, and have to group in twos.
We did some counting in base 2 together:
And then before you knew it, it was time for us to go.
Have a good one,
-Mr. Potter