Numerically Fluent
(diagram)
6, by taking away when far apart.
1, by counting up when close together.
Scenario 1
Separate the students
If Set A consists of all the positive integers from 10 through 20, inclusive, and set B consists of all the odd integers between 2 and 14, which of the following numbers is in the intersection of sets A and B?
3, 9, 10, 11, or 14
11
What does a percentage represent?
Percent represents how much you have for each hundred.
What is the first step of the DWP?
Reading the student notes acknowledging you read them.
What are the 3 main strategies to solve this question?
8 + 9 = ?
Add 10 to 8, then subtract 1
Scenario 2
Tell them you will let them know when it is time for their break.
33x+1 = 92x-5
x = ?
11
How do you explain why 3 apples + 4 bananas does NOT equal 7 banaples?
The law of SAMEness. We can only add and subtract things that have the same name.
What do you do when a student finishes a mastery check?
Check it on the answer key, signature, date, tell them to spin the wheel, and enter it on the DWP.
What is a good strategy for for solving:
7x7=Scaffolding/Launching point
Start with 7x5 then 7x2
Scenario 3
Instruct proactively not reactively
Make 24 using +, -, x, ÷ to combine all 4 of these numbers:
9, 4, 3, 4
Multiple solutions, show your work!
What is a method you can use to help a student improve their understanding that you can use both if a student is struggling or doing really well on their own?
Socratic questioning. Asking "how?" and "why?" to engage a students brain rather than telling is much more effective for learning.
What should you do when a student has a checkup?
Make sure they know to try their best on everything they know, let them know they can go to the next question if they can't figure something out, and tell them they will get a punch for every page they get right!
What is a good strategy for solving 8x8?
Double the eight, then double again, then double again!
Scenario 4
Keep aware of your surroundings and avoid tunnel vision. Set goals for students to achieve while you are away from them.
Jake can mow a lawn in 3 hours, Kellie can mow a lawn in 4 hours. If they work together, how long will it take them to mow one lawn together?
1 and 5/7 hours.
A student is having trouble comprehending the following question:
A soccer game is halfway through the second quarter, what fraction of the game is left?
How can you make the question easier to understand?
Ask them to draw a picture. It helps a student what happens when you take half of a quarter and also helps them understand what fraction of the whole they must find.
When can a student take a break?
In the last 10 minutes of their session only if they have finished 5 pages or finished their homework and 3 pages.
What would be the first step a student could use to begin solving 63 ÷ 7
Begin with an easy 7s fact of 7x10, then work backwards.
Scenario 5
Inform the student that X instructor is really good at this and would really like to help them with it.
A standard, six-sided die is rolled five times. What is the probability that the five rolls are either all the same or all different?
121/1296
3. Use the 3s trick, if the sum of the digits is divisible by 3, then so is the original number.
Where do you put a mastery check at the end of a student's session?
If they have mastered it, it will go before section 1. If they have not mastered it, it will go in the bin at the back of the room.