Numerical Expressions and Equations: Properties and Applications

2. Take out your packet What are some things that you notice? What are some things that you wonder? Consider a family of 4 that goes to a soccer game. Tickets are some amount of money each. The mom also wants to buy a soft drink for $2.00. DO NOW:

3. Today I will be able to: • Write and evaluate numerical expressions involving whole-number exponents • Write, read, and evaluate expressions in which letters stand for numbers • Apply the properties of operations to generate equivalent expressions (commutative, associative and identity properties of addition and multiplication). • Identify when two expressions are equivalent So I can learn how to create expressions and equations that demonstrate the 4 different properties for my classwork examples and apply what I have learned to answer questions from my study guide, including evaluating expressions using the order of operations. I will know I got it by reading, writing, and discussing the solutions to my classwork examples and the study guide with my partners with at least 80% accuracy. 6.EE.A1., 6.EE.A2c, 6.EE.A3, 6.EE.A4

4. Vocabulary: • Property Perimeter • Commutative Area • Associative Width • Additive Expressions • Multiplicative evaluate • Identity Length • Inverse Factor • order of operations (PEMDAS) Base • Number sentence Exponents • Replace Variables

5. Complete the Opening Exercise with your partners on pages 33-34 All of them All of them No. The first four are true, but the last one, dividing by zero, is not true.

6. Additive Identity Property of Zeropg. 34 complete with your partners yes The value of g does not change when 0 is added to g. The value of g does not change when 0 is added to g.

7. yes g + 0 = g, additive identity property of zero. Any number added to zero equals itself.

8. Multiplicative Identity Property of Onepg. 35 complete with your partners yes The value of g does not change when 1 is multiplied to g. yes g x 1= g, multiplicative identity property of one. Any number multiplied by 1 equals itself.

9. Commutative Property of Addition and Multiplicationpgs. 35-36 complete with your partners a + 4 = 4 + a a x 4 = 4 x a The result is a true number sentence.

10. Yes, any number, even zero, can be used in place of the variable a a + b = b + a a x b = b x a yes a + b = b + a a x b = b x a commutative property of addition. Order does not matter when adding. commutative property of multiplication. Order does not matter when multiplying.

11. Let’s look at example 4 together… The result is a true number sentence. Yes, any number, even zero, can be used in place of the variable a Will all values of 𝑎 and 𝑏 result in true number sentences for the equations? Experiment with different values before making your claim.

12. Pg. 38 with your partners a + b = b + a a x b = b x a b + 0= b b x 1 = b c + 25 w x l h v

13. How do you feel? topic.

14. Study Guide • With the remainder of time in class, you will work with your partners to complete your study guide. Whatever you don’t finish is your homework.

15. Study guide check-in

16. 216 + 7 x 4 216 + 28 244

17. a c d b

18. True because when you add and subtract by the same number you get the original number. This is because 3m-3m =0. So it becomes x +0=x because when you add 0 to any number you get the original number (the additive identity)

19. 2t + 4e + 4y 4h h + h + h + h p x p x p x p x p x p x p

20. 12 x (5)2÷2 – 10 12 x 25÷2 – 10 300÷2 – 10 150 – 10 140

21. 39÷3 – 2 x (4 + 1) 39÷3 – 2 x 5 13 – 2 x 5 13 – 10 3

22. 3 cm 6 cm 4 cm 6 x 3 x 4 72 cm3

23. a x b = b x a a + 0 = a a x 1 = a

24. How do you feel? topic.

25. Complete and use “Study Guide” to prepare for tomorrow’s QUIZ

26. Accommodations • Read or reread presentation or activity directions, as needed or after prompting • Use examples to model and act as a guide for emerging learners