240 likes | 723 Views
Number System:. Thinking Logically About Multiplicative Arithmetic 6NS4 Lesson 1: Even and Odd Numbers Engage NY Module 2 Lesson D 16. Opening Exercise I can explain my thinking and determine that my answer is reasonable. What is an even number? List some examples of even numbers.
E N D
Number System: Thinking Logically About Multiplicative Arithmetic 6NS4 Lesson 1: Even and Odd Numbers Engage NY Module 2 Lesson D 16 kp
Opening ExerciseI can explain my thinking and determine that my answer is reasonable.
What is an even number? List some examples of even numbers. What is an odd number? List some examples of odd numbers.
When we add two even numbers, will we always get an even number?
Exercises Why is the sum of two even numbers even? Think of the problem 12+ 14. Draw dots to represent each number. Circle pairs of dots to determine if any of the dots are left over. Will this be true every time two even numbers are added together? Why or why not?
2. Why is the sum of two odd numbers even? Think of the problem 11+ 15. Draw dots to represent each number. Circle pairs of dots to determine if any of the dots are left over. Will this be true every time two odd numbers are added together? Why or why not?
3. Why is the sum of an even number and an odd number odd? Think of the problem 14+ 11. Draw dots to represent each number. Circle pairs of dots to determine if any of the dots are left over. Will this be true every time an even number and an odd number are added together? Why or why not?
3. Why is the sum of an even number and an odd number odd? d. What if the first addend was odd and the second was even. Would the sum still be odd? Why or why not? For example, if we had 11 + 14, would the sum be odd?
Exploratory Challenge Even or Odd? The product of two even numbers Even The product of two odd numbers Odd The product of an even and an odd number Even
Math Notebook 3. Even and Odd Numbers Adding: The sum of two even numbers is even. The sum of two odd numbers is even. The sum of an even number and an odd number is odd.
Math Notebook 3. Even and Odd Numbers Multiplying: The product of two even numbers is even. The product of two odd numbers is odd. The product of an even number and an odd number is even.
On the bottom of your notebook page 5 + E + E = E O + O = O E + O = O
On the bottom of your notebook page 5 x E x E = E O x O = O E x O = E
Exit Ticket 1. ππ,πππ+ππ,πππ 2. πππ,πππ Γπππ,ππ4 3. ππ,πππ+π,ππ9 4. ππ,πππΓππ,ππ1 Show or explain why ππ+ππ+ππ+ ππ+ππ will result in an even sum.
Exit Ticket 1. ππ,πππ+ππ,πππ Odd, because the sum of an even number and an odd number is odd 2. πππ,πππ Γπππ,ππ4 Even, because the product of two even numbers is even
Exit Ticket 3. ππ,πππ+π,ππ9 Even, because the sum of two odd numbers is even.
Exit Ticket 4. ππ,πππΓππ,ππ1 Odd, because the product of two odd numbers is odd
Exit Ticket 5. Show or explain why ππ+ππ+ππ+ππ+ππ will result in an even sum. ππ+ππ will be odd because even + odd is odd. Odd number +ππ will be odd because odd + even is odd. Odd number +ππ will be even because odd + odd is even. Even number +ππ will be even because even + even is even.
Problem Set Lesson 1 COPY: Tell whether each sum or product is even or odd. Explain your reasoning. 346 + 721 __(even or odd)_ Explain: 4,690 Γ 141 ___________ 1,462,891 Γ 745,629 _________ 425,922+ 32,481,064 _________ 32 + 45+ 67 + 91 +34 + 56 _________