1. Tuesday “Day B” October 20, 2015 Math Exploratory Math Express
7: :45
Math
8: :35
Exploratory
9: :25
10: :32
11: :02
Math Express
3rd Lunch
12: :54
Social Studies
12: :44
English
1: :30
Science
Tuesday

2. Even + even = __________
Oct. 20, 2015 Day [B]
Do now:
(1) Take out your H.W. and packet.
(2) In notebook, copy and fill in the blanks.
Even + even = __________
Odd + odd = _________
Odd + even = __________

3. Oct. 20, 2015 Day [B]
Today’s Objective:
I will be able to generalize rules for adding and multiplying even and odd numbers using “dot models” in order to complete exercises 4-6 with my partner.
6.NS.B.4

4. Evenly divided by 𝟐. Unit (one) digit is 𝟎, 𝟐, 𝟒, 𝟔, or 𝟖
Lesson 16: Oct. 20, 2015
What is an even number?
(Page 74)
Evenly divided by 𝟐.
Unit (one) digit is 𝟎, 𝟐, 𝟒, 𝟔, or 𝟖
Multiples of 𝟐

5. CANNOT be evenly divided by 𝟐. Unit (one) digit is 𝟏, 𝟑, 𝟓, 𝟕, or 𝟗
Lesson 16: Oct. 20, 2015
What is an odd number?
(Page 74)
CANNOT be evenly divided by 𝟐.
Unit (one) digit is 𝟏, 𝟑, 𝟓, 𝟕, or 𝟗
NOT multiples of 𝟐

6. Exercise 1 (Pg. 75)
Lesson 16: Oct. 20, 2015

7. Lesson 16: Oct. 20, 2015
Exercise 1 (Pg. 75)

8. Lesson 16: Oct. 20, 2015
Exercise 1 (Pg. 75)

9. Exercise 2 pg. 75 2. Why is the sum of two odd numbers even?
Lesson 16: Oct. 20, 2015
2. Why is the sum of two odd numbers even?
a. Think of the problem Draw dots to represent each number.

10. Exercise 1 (Pg. 75)
Lesson 16: Oct. 20, 2015
b. Circle pairs of dots to determine if any of the dots are left over.
When we circle groups of two dots, there is one dot remaining. When we look at the sum, however, the two remaining dots can form a pair, leaving us with a sum that is represented by groups of two dots. The sum is, therefore, even.

11. Exercise 1 (Pg. 75)
Lesson 16: Oct. 20, 2015

12. Exercise 3 pg. 76
Lesson 16: Oct. 20, 2015

13. Students work in groups to work on p. 77. (15 minutes)
Lesson 16: Oct. 20, 2015
Students work in groups to work on p (15 minutes)

14. 4. The product of two even numbers is even.
Exploratory Challenge Exercises 4 (Pg. 77)
Lesson 16: Oct. 20, 2015
4. The product of two even numbers is even.
One example answer:
Using the problem 𝟔×𝟏4, students know that this is equivalent to six groups of fourteen, or
We know that the sum of two even numbers is even; therefore, when adding the addends two at a time, the sum will always be even.
This means the sum of six even numbers will be even, making the product even since it will be equivalent to the sum.

15. 4. The product of two even numbers is even.
Exploratory Challenge Exercises 4-6 (Pg. 77)
Lesson 16: Oct. 20, 2015
4. The product of two even numbers is even.
One example answer:
Using the problem 𝟔×𝟏4, students know that this is equivalent to six groups of fourteen, or

16. 5. The product of two odd numbers is odd.
Exploratory Challenge Exercises 5 (Pg. 77)
Lesson 16: Oct. 20, 2015
5. The product of two odd numbers is odd.
One example answer: Using the problem 𝟓x 𝟏5, we know that this is equivalent to five groups of fifteen, or
We also know that the sum of two odd numbers is even, and the sum of an odd and even number is odd.
When adding two of the addends together at a time, the answer will rotate between even and odd.
When the final two numbers are added together, one will be even and the other odd.
Therefore, the sum will be odd, which makes the product odd since it will be equivalent to the sum.

17. 5. The product of two odd numbers is odd.
Exploratory Challenge Exercises 5 (Pg. 77)
Lesson 16: Oct. 20, 2015
5. The product of two odd numbers is odd.
One example answer: Using the problem 5 x 15, we know that this is equivalent to five groups of fifteen, or

18. 6. The product of an even number and an odd number is even.
Exploratory Challenge Exercises 6 (Pg. 77)
Lesson 16: Oct. 20, 2015
6. The product of an even number and an odd number is even.
One example answer: Using the problem 𝟔 x 𝟕, students know that this is equivalent to the sum of six sevens, or 𝟕+𝟕+𝟕+𝟕+𝟕+𝟕.
You know that the sum of two odd numbers is even, and the sum of two even numbers is even.
Therefore, when adding two addends at a time, the results will be an even number.
Calculating the sum of these even numbers will also be even, which means the total sum will be even.
This also implies the product will be even since the sum and product are equivalent.

19. 6. The product of an even number and an odd number is even.
Exploratory Challenge Exercises 6 (Pg. 77)
Lesson 16: Oct. 20, 2015
6. The product of an even number and an odd number is even.
One example answer: Using the problem 𝟔×𝟕, students know that this is equivalent to the sum of six sevens, or 𝟕+𝟕+𝟕+𝟕+𝟕+𝟕.

20. Lesson 16: Oct. 20, 2015
topic.
How do you feel?

21. Ticket-to-go (in agenda)
Lesson 16: Oct. 20, 2015
Ticket-to-go (in agenda)
Determine whether each sum or product will be even or odd.
, ,895 = even or odd
,362 × 129,324 = even or odd
, ,569 = even or odd
,457 × 12,781 = even or odd

22. Lesson 16: Oct. 20, 2015
Problem Set on Page 78

23. Accommodations Lesson 16: Oct. 20, 2015
Read or reread presentation or activity directions, as needed
or after prompting
Use examples to model and act as a guide for emerging learners