1. Bellwork: Monday
(-4) =
Today we will do a Number Talk.

2. Which of these models represent ⅛ of the whole? How do you know?

3. Which of these models represent ⅛ of the whole? How do you know?

4. Distributing: Notes Learning Goal: I will simplify expressions
Success Criteria: I know I have it when…
I can use numbers, variables and symbols to write an expression base on words
I can distribute
I can combine like terms
I can rewrite expressions in different forms (expand/simplify)
Distributing: Notes

5. Distributive Property “Give to ALL”
Using numbers: 6 (3 + 4) = 6 (3) + 6 (4) 7 ( 5 – 2 ) = 7 (5) – 7 (2)

6. Multiplying by a Variable
2 ( x) = 2x
3 (4y) = 12y
5 (2m) = 10m

7. Distributive Property
Using algebra: a (b+c) = ab + ac 6 (x + 4) = 7 ( y – 2 ) =

8. Practice Examples
2 ( 5 + 4m)=
4 ( 3x – 3)=
x ( 2 + 1)=

9. Finish for Homework…we will check answers tomorrow!

10. Fix ALL mistakes!
-1 (-2m – 4 )
-1 (-2m) -1(-4)
2m + 4

11. Bellwork: Tuesday Translate the verbal to an algebraic expression.
1. x subtracted from 15 ______________________
2. 2 more than twice a number _________________ 
less than x ____________________________ 
4. 8 minus the product of 5 and n _______________

12. Distributing: Activity
Learning Goal: I will simplify expressions
Success Criteria: I know I have it when…
I can use numbers, variables and symbols to write an expression base on words
I can distribute
I can combine like terms
I can rewrite expressions in different forms (expand/simplify)
Distributing: Activity

13. Directions Working in pairs Every pair starts with a card
Do your work in the appropriate square
Check for your simplified expression on the board
Draw the image for that answer in the corresponding box
When you are finished with your card, put on back countertop and pick a new card

15. Answers:
-6x – 3
2x + 8
Examples:
A2: 2(x + 4)
D5: -3(2x + 1)

18. Bellwork: Wednesday

19. Combine Like Terms and Distributing: Notes
Learning Goal: I will simplify expressions
Success Criteria: I know I have it when…
I can use numbers, variables and symbols to write an expression base on words
I can distribute
I can combine like terms
I can rewrite expressions in different forms (expand/simplify)
Combine Like Terms and Distributing: Notes

20. Combining Like Terms
Terms- parts of an equation or expression broken up by + OR – sign
Example: 2x + x ( 3 TERMS)

21. Combining Like Terms
You can combine terms that are alike to simplify expressions
(Combined means added together)
Numbers can be combine with numbers 6x
6x + 3
Variables that are alike can be combined
2x + 5x + x2
7x + x2

22. What cannot be combined?
any exponents that do not match
x2 and x
any variables that are not the same letter
x and y

23. Examples
5 + 6x – 8x + 2
-3x + 6y – 8x + y2

24. Steps
Distribute
Combine like Terms

25. Examples
3 (4 + y)
8 ( x + 2x)

26. Examples
6m + 2 (k - m)+ 3k
x ( 9 - 6) + x2

27. Examples
3 (2x - x) – x + 3y
3 ( x + 6) + (-6x)

28. Bellwork: Thursday Today you have a Bellwork Quiz.
You may get out all past bellwork
papers to assist you on the quiz.

29. Combine Like Terms and Distributing: Activity
Learning Goal: I will simplify expressions
Success Criteria: I know I have it when…
I can use numbers, variables and symbols to write an expression base on words
I can distribute
I can combine like terms
I can rewrite expressions in different forms (expand/simplify)
Combine Like Terms and Distributing: Activity

30. Directions Working in groups of 3-4
Start at a card and simplify expression
Once the bell rings, go to your answer
If you cannot find your answer hanging around the room, your answer is wrong!
Once finished: work on Simplifying Expressions HW Sheet

31. Bellwork: Friday
The data below represent the number of times in one week that each of 12 students visited the school library.
0,0,0,1,1,2,3,3,3,3,4,4
Which statement is true?
The value of 0 is an outlier.
The mode is the same as the range.
All of the data values fall within a range of 3 times per week.
The mean is 2.

32. Task! Learning Goal: I will simplify expressions
Success Criteria: I know I have it when…
I can use numbers, variables and symbols to write an expression base on words
I can distribute
I can combine like terms
I can rewrite expressions in different forms (expand/simplify)
Task!

33. Corral Task
You are going to be building a corral for your pigs using fence panels.
Each corral has four sides of equal length.

34. Corral task
Corrals are constructed side-by-side because the plot of land is long and skinny.

35. Corral task
Problem: You need to figure out how many fence panels are needed for any given number of corrals, because right now we don’t know how many corrals will fit on the land.
How many fence panels will be needed to create 4 corrals?
PREDICT inside your head.
BUILD with toothpicks.

36. Corral Task
Think-Pair-Share
How did you count?

37. Corral task
To help us think about how many fence panels would be needed for any number of corrals each student will receive a card with a number on it.
The number is how many corrals you have. Draw or build this number of corrals and record your answer on the butcher paper.

38. Corral task How are our answers related? Do you agree with my answer?
As you confirm a solution talk to your neighbor using these questions.
How are our answers related?
Do you agree with my answer?
Do you notice anything that could be a pattern?
Prepare to tell the class, “We noticed that…”

39. Corral task
Think-Pair-Share
Would any of our observations help us to figure out the number of fence panels without having to build the corrals with our toothpicks?

40. Corral task
Think-Pair-Share
What if I told you that I will have room for 100 corrals--how many fence panels will be needed?

41. Corral task
Think-Pair-Share
What if I told you that we built the corrals and we used 61 fence panels- how many corrals would that be?

42. Corral task Exit Ticket
Mary said that the number of fence panels is 3n + 1.
Sam said the number of fence panels is n + (n + 1) + n.
Who is right and how do you know?