After reviewing your tests, I see that EVERYONE has been working hard and doing their best. The time you are spending thinking and working together is paying off. I am proud of YOU.

Open Pear Assessment. On your paper test, make a smiley face by the questions you correctly answered. Make a check mark by the ones you missed.

When you look at PowerSchool, Qs 1-3 are U4T1 (adding), Qs 4-6 are U4T1 (subtracting), Qs 7-9 are U4T2 (multiplying), Qs 10-12 are U4T5 (dividing)

Here's how I graded this assessment: There were 3 questions per learning goal: mild, medium, and spicy. If you correctly answered 3 questions, score is a 4; if 2 were correct, score is a 3; if 1 was correct, score is a 2; if none were correct, score is a 1

Refer to the Proficiency Levels to know what your work says about where you are right now in terms of your understanding on the key learning target(s):

The most important part of the test happens right now: reviewing your work and learning from mistakes.

1. Find an expert to help you with the problem you missed. Compare and contrast your work and their work. Discuss what you notice. Ask questions. Think. Don't copy.

2. On your corrections worksheet, neatly rewrite the problem, show your thinking, and circle the correct answer.

3. Before moving to the next problem, write down your mistake and what you will do to not make that mistake again.

* If you are curious to know what 3's and 4's looked like, review the randomly chosen exemplars (provided in class)

Veteran's Day Holiday

BTC p107 Tax Collector

These are 12 envelopes, each one with some money in it. This is your money. I am just holding it for you. But, you can have any of these envelopes whenever you want. You just have to ask for it. So, which one do you want first? [They choose the 12]

OK. There you go. This envelope is now gone.

Right [snap fingers]. I forgot to tell you that we have to pay taxes on this money. And because you took the $12, the tax collector will take the 1, 2, 3, 4, and 6 envelopes [cross out the envelopes as you say the numbers]. Why does the tax collector take these envelopes?

Right! The tax collector takes the factors of whatever envelope you took. Ok, so which envelope do you want. [They choose 11]

Ok. But I forgot to mention that the tax collector always wants some taxes. So, when you choose an envelope there must always be at least one envelope for the tax collector to take -- one factor for the tax collector to take. So, can you take the $11?

[No.] So, which envelope can you take?

Ok. You take the $10. What does the tax collector take? [$5]

Ok. What next? [Nothing].

Ok. Now the tax collector is very kind and does not want to see anything go to waste, so they will take the rest of the envelopes [cross the rest out].

While working whole-class, you got $22 in total. You can get way more money! Your job is to work with your group to get more than $22.

Factors: the numbers you multiply together to get a specific product. (e.g. 1, 2, 3, 4, and 6 are all factors of 12). A factor is a number that divides another number evenly, with no remainder.

Common factors: Factors that are shared (e.x. the numbers 6 and 12 share a factor of 2)

Greatest Common Factor (GCF): the largest shared factor (e.x. the largest common factor between the numbers 6 and 12 is 6)

Prime number: a whole number greater than 1 that has only two factors: 1 and itself (e.g., 2, 3, 5, 7).

Use factor trees and prime numbers to find the GCF

Use The Ladder Method to find the GCF. Multiply ALL the numbers on the left side of the ladder. (Don't include the bottom numbers when multiplying.)

1. CYUqs (do some with factor trees and some with the ladder method):

You are all going to do some of these. But, there are three things for you to keep in mind. First, do your own. Second, you choose where to start. Third, check your work with the students around you, and if you need help, get help. And if someone needs help, give help.

Check answers to make sure you are understanding:

2. Be sure that your notes are your notes are up to date:

3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search

Turn to your neighbor and describe what a factor is.

After completing the Check-your-understanding Questions, which were important for everyone to do?

What would you do if you were asked to find the GCF of 3 (or more numbers)?

Can we find the greatest common factor of 60, 24, and 48

On the blank side, write your first and last name and U5T1. Then, find the GCF of:

A. 24 and 30

B. 60 and 80

Lists will always work, but can be time-consuming.

The Ladder Method can be used to find the LCM too. Multiply ALL the numbers on the outside: (the numbers on the left and the numbers on the bottom.

What is the difference between the GCF and the LCM (compare and contrast)?

1. CYUqs (do some with lists and some with the ladder method):

You are all going to do some of these. But, there are three things for you to keep in mind. First, do your own. Second, you choose where to start. Third, check your work with the students around you, and if you need help, get help. And if someone needs help, give help.

Check answers to make sure you are understanding

2. Be sure that your notes are your notes are up to date:

3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search

U5T1 Entry Ticket

Before discussing your the Check-your-understanding Questions, turn to your neighbor and describe what a multiple is.

When you both agree, take turns showing each other one problem you thought represented the basic idea of how to find a LCM.

Did you notice that sometimes the LCM was simply the product of the two numbers?

But other times, finding the LCM took making a list (or using the Ladder Method).

If you could make up a rule for when to multiply to find the LCM and when to not multiply, what would the rule be?

On the blank side, write your first and last name and U5T2.

1. Find the LCM of 8 and 12

2. Ananya likes to go to Starbucks every 10 days and Anika likes to go every 12 days. Ananya and Anika both went to Starbucks today. After how many days do they go to Starbucks on the same day again?

Multiplication madness!

The secret I use to multiply large numbers mentally is called the Distributive Property.

First, I decompose one of the factors in the expression.

For example, in the expression 7 ⋅ 12, I decompose the 12 into 10 + 2. Then, I multiply the 7 by 10 and the 7 by 2 and add up the products.

7 ⋅ 12 = 7 (10 ⋅ 2)

* to prove that this works, you can simplify both sides to get 84 = 84

I want you to think of the next 10 problems like puzzles.

When you figure it out, be sure to share the secret with each of your group members.

#1 notice that the number outside of the parentheses is a common factor of the numbers on the other sides of the equals sign

1. CYUqs (Be sure to do at least 8 of the medium questions!)

You are all going to do some of these. But, there are three things for you to keep in mind. First, do your own. Second, you choose where to start. Third, check your work with the students around you, and if you need help, get help. And if someone needs help, give help.

Check answers to make sure you are understanding

2. Be sure that your notes are your notes are up to date:

3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search