Why Contig?
I recommend this game for any class:- it's awesome at building number sense
- it's easy to prep and play
- each game is fresh and new
- you and your students can adapt it to your own needs as you go
- it works beautifully in centers, small groups, or as whole-group fun
The Gameboard
You can download a free copy of the game board here. There is also a Contig, Jr. for younger students. Here's the game board for grade 4 and up:
The Materials
Materials are simple. For each pair of students, you need:- a laminated Contig game board
- 3 dice
- a different colored dry erase marker for each player
How To Play
1) Roll three dice. Use the numbers just as they are. For example, if you roll 2, 4, 6, they cannot be 24 or 62... just 2, 4, 6.
2) Add the three numbers. That sum is your starting number. Cross it off the board. This is the only time that you are required to do anything specific with the numbers you roll.
3) Look at all of the numbers surrounding the number you marked off. These are your target numbers. If your starting number is 12, your target numbers are 3, 4, 5, 11,13, 19, 20, 21. You do not have to mark them, as I have in blue below. This is just to show you what is allowed.
4) On each turn, roll three dice. The player can perform any operations in any order on those three numbers as long as the result is one of your target numbers. If you rolled 3, 5, 6, you could say: 3 x 6 - 5 = 11. Cross off 11.
5) Notice that your new target numbers are 2, 3, 4, 5, 10, 13, 18, 19, 20, 21.
6) Continue rolling 3 dice on each turn. Perform operations to produce one of the target numbers. Notice that your target possibilities increase with each new number. Continue to play for a specified time or number of turns, whatever works for you.
Once students are confident about playing the game, they typically start asking to change the rules. That's great! This type of mathematical discussion is powerful. I always ask students to predict how their suggested change will affect the game. Common changes that kids suggest are:
- Use 4 or more dice.
- Treat your starting roll like any roll; instead of just adding, perform any operations.
- Use only multiplication and division.
- Use one of your dice as an exponent.
One Last Connection
If students ask about the name, Contig, I love to make this ELA connection. I tell them it comes from the word contiguous, then ask if that sounds like a word they've heard before. They typically respond, "Continuous". I agree and say contiguous means continuous and touching. That refers to the target numbers that need to be touching, or contiguous to, the numbers you choose.
I hope you'll give Contig a try. I love it so much that I created a version to send home with my students. It's a great homework activity. You can find it in my store here.
Best wishes and I'd love to hear how Contig works for your students!
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ReplyDeleteThis monthly average is run through an income replacement formula that determines your base monthly Social Security payment rate in retirement. This base rate will then be adjusted upward or downward depending on a few factors, like your age when you start claiming Social Security benefits, your employment status in retirement, your tax bracket and your Medicare premiums.
If that sounds overly complex, don’t fret. Here’s how each part of the Social Security calculation breaks down.
How Your Inflation-Indexed Earnings Are Calculated
Inflation-adjusted average earnings—officially referred to as your average indexed monthly earnings (AIME) by the Social Security Administration—standardize your income across your peak earning years.
This inflation-indexed average is calculated by multiplying the income you earned in each of your top 35 earning years by an indexing factor that normalizes each year’s income for the rate of inflation in the year you turn 60.
Social Security uses the National Average Wage Index (NAWI) to determine the indexing factor for each year. The resulting 35 numbers are then added up and divided by 420 (12 months x 35 years) to determine your inflation-adjusted average monthly earnings.
If you haven’t worked for a full 35 years, they use earnings of zero for the years you earned no income when calculating your AIME. You can boost your benefit amount by continuing to work, thereby reducing zero earnings years and increasing your average.