1. Unit 7 The Unit Organizer Betchan, Gonzales & Strauss
NAME
Betchan, Gonzales & Strauss 4
BIGGER PICTURE
DATE
Algebraic Representations 2
LAST UNIT
/Experience 3
NEXT UNIT
/Experience
Algebraic Relationships 1
CURRENT UNIT
CURRENT UNIT
Equations and Inequalities
Geometry 8
UNIT SCHEDULE 5
UNIT MAP
is about...
using equations and inequalities to
represent situations by
2/1
Unit Launch
solving
if the math statement is the truth when given a value.
6.6C
determining
2/2
Equation/Inequality Substitution Practice
one-variable, one-step problems.
6.10A, 6.2E, 6.9ABC
2/3
Modeling +/- Equations using Models
2/6
J: Solving +/- Equations
2/7
Solving +/- Equations Practice
modeling
2/8
J: Solving x/➗ Equations
2/9
Partner Perfection & Tic-Tac-Toe
one-variable, one-step solutions, including the use of numberlines.
6.10A, 6.2E, 6.9ABC
2/10
Writing & Solving 1-step equations rotations
2/13
J: Solving 1-step inequalities
2/14
I Have Who Has & Crossword
2/15
Translating Inequality Verbal Descriptions
2/16
Unit 7 Test
2/17
Concept Comparison
What are the inequality symbols? Before ___ After ___
How do you substitute a given value into an equation/inequality? Before ___ After ___
How do you model the solution for an equation? Before ___ After ___
What are the steps to solving a one-variable, one-step equation/inequality? Before ___ After ___
How do you determine when to reverse the inequality symbol? Before ___ After ___
How do you plot your solution from an equation/inequality on a number line? Before ___ After ___
Rating System: 1, 2, 3, 4
determine 6
UNIT SELF-TEST QUESTIONS
model
RELATIONSHIPS
solve
UNIT 7 1

2. Determine a solution to the following equation models:
Equations and Inequalities is about using equations and inequalities to represent situations by determining if the math statement is the truth when given a value.
Equations and Inequalities is about using equations and inequalities to represent situations by modeling one-variable, one-step solutions, including the use of numberlines.
Equations and Inequalities is about using equations and inequalities to represent situations by solving one-variable, one-step problems.
1) Jack has 35 pages to read by the end of the day. He has read 15 pages so far. Which equation represents the number of pages Jack still has to read?
F p – 35 = 15
G 15p = 35
H 35 = p + 15
J 35 = p – 15
2) Solve the equation you got from question 1:
3) Plot your solution from question 2 on the number line below:
4) Which inequality represents the statement, “- 4 times a number is at least 17?”
A n + (-4) ≥ 17
B -4n ≤ 17
C -4n ≥ 17
D n – 4 ≤ 17
5) Solve the inequality you got from question 4:
6) Plot your solution from question 5 on the number line below:
The Inverse of ...
Is…
Addition
Subtraction
Multiplication
Division
Determine if the given value(s) make(s) each equation true.
1. h + 9 = 21; 10, 11, 12
2. 45 – k = 27; 17, 18, 19
3. 28 = r – 12; 40, 41, 42
4. 56 = 7q; 7, 8, 9
5. 9w = 45; 3, 4, 5
6. 30 / w = 5; 4, 5, 6
Which value is a solution to the inequality “3.5 more than a number m is less than 4.6?”
F 1
G 1.1
H 8
J 8.1
Determine a solution to the following equation models:
Graph the following Inequalities:
Unit Self-Test Questions

3. Algebraic Representations UNIT SELF-TEST QUESTIONS
The Unit Organizer
Unit 7
NAME 4
BIGGER PICTURE
DATE
Algebraic Representations 2
LAST UNIT
/Experience 3
NEXT UNIT
/Experience
Algebraic Relationships 1
CURRENT UNIT
CURRENT UNIT
Equations and Inequalities
Geometry 8
UNIT SCHEDULE 5
UNIT MAP
is about...
Unit Launch
using equations and inequalities to
represent situations by
2/1
solving
if the math statement is the truth when given a value.
6.6C
determining
2/2
Equation/Inequality Substitution Practice
one-variable, one-step problems.
6.10A, 6.2E, 6.9ABC
2/3
Modeling +/- Equations using Models
2/6
J: Solving +/- Equations
2/7
Solving +/- Equations Practice
modeling
2/8
J: Solving x/➗ Equations
2/9
Partner Perfection & Tic-Tac-Toe
one-variable, one-step solutions, including the use of numberlines.
6.10A, 6.2E, 6.9ABC
2/10
Writing & Solving 1-step equations rotations
2/13
J: Solving 1-step inequalities
2/14
I Have Who Has & Crossword
2/15
Translating Inequality Verbal Descriptions
2/16
Unit 7 Test
2/17
Concept Comparison
What are the inequality symbols? Before ___ After ___
How do you substitute a given value into an equation/inequality? Before ___ After ___
How do you model the solution for an equation? Before ___ After ___
What are the steps to solving a one-variable, one-step equation/inequality? Before ___ After ___
How do you determine when to reverse the inequality symbol? Before ___ After ___
How do you plot your solution from an equation/inequality on a number line? Before ___ After ___
Rating System: 0, 1, 2, 3
determine 6
UNIT SELF-TEST QUESTIONS
model
RELATIONSHIPS
solve
UNIT 7 3

4. UNIT SELF-TEST QUESTIONS
The Unit Organizer
Unit 7
NAME 4
BIGGER PICTURE
DATE 2
LAST UNIT
/Experience 1
CURRENT UNIT
CURRENT UNIT 3
NEXT UNIT
/Experience 8
UNIT SCHEDULE 5
UNIT MAP
is about...
Unit Launch
using _________ and __________ to
represent situations by
2/1
if the math statement is the ____________ when given a ___________.
6.6C
2/2
Equation/Inequality Substitution Practice
_____-variable, ________-step problems.
6.10A, 6.2E, 6.9ABC
2/3
Modeling +/- Equations using Models
2/6
J: Solving +/- Equations
2/7
Solving +/- Equations Practice
2/8
J: Solving x/➗ Equations
2/9
Partner Perfection & Tic-Tac-Toe
______-variable, ________-step solutions, including the use of ___________.
6.10A, 6.2E, 6.9ABC
2/10
Writing & Solving 1-step equations rotations
2/13
J: Solving 1-step inequalities
2/14
I Have Who Has & Crossword
2/15
Translating Inequality Verbal Descriptions
2/16
Unit 7 Test
2/17
Concept Comparison
What are the inequality symbols? Before ___ After ___
How do you substitute a given value into an equation/inequality? Before ___ After ___
How do you model the solution for an equation? Before ___ After ___
What are the steps to solving a one-variable, one-step equation/inequality? Before ___ After ___
How do you determine when to reverse the inequality symbol? Before ___ After ___
How do you plot your solution from an equation/inequality on a number line? Before ___ After ___
Rating System: 0, 1, 2, 3 6
UNIT SELF-TEST QUESTIONS
RELATIONSHIPS
UNIT 7 4

5. 6.6(C) represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b
6.10(A) model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts
6.2(E) extend representations for division to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0
6.9(B) represent solutions for one-variable, one-step equations and inequalities on number lines
6.9(C) write corresponding real-world problems given one-variable, one-step equations or inequalities
6.9A- Write one-variable, one-step equations to represent constraints or conditions within problems.
Supporting Standard
6.10(B) determine if the given value(s) make(s) one-variable, one-step equations or inequalities true
Pre-AP Suggestions: (add 1 week) 7.10A, 7.10B, 7.10C, 7.11A, 7.11B

6. using equations and inequalities to represent situations by

7. if the math statement is the truth when given a value.
6.6C

8. one-variable, one-step solutions, including the use of numberlines.
6.10A, 6.2E, 6.9ABC

9. one-variable, one-step problems.
6.10A, 6.2E, 6.9ABC

10. determining
modeling
solving

11. determine
model
solve

12. What are the inequality symbols?

13. (2) How do you substitute a given value into an equation/inequality?

14. (3) How do you model the solution for an equation?

15. (4) What are the steps to solving a one-variable, one-step equation/inequality?

16. (5) How do you determine when to reverse the inequality symbol?

17. (6) How do you plot your solution from an equation/ inequality on a number line?

18. Glue it down in your math journal.
Warm Up:
Pick up the front and back of your new unit, the table of contents, and the sticker tab.
Glue it down in your math journal.

20. Let’s launch the Unit 7 Organizer!
Only 3 more units of 6th grade material after this!
The unit organizer is used to organize important information and it allows you to see the overall flow of the unit.
As we fill this out, I expect you to:
Participate in the class discussion of the parts of the Unit Organizer.
Record the correct information on your Unit Organizer.
Keep it and have it in class everyday so that we can use it throughout the unit.

21. Questions How does the Unit Organizer help you?
What is one of the expectations for you as we go through this routine?

22. C.R.A.F.T.
C- Create a Context
Boxes 1-4 on the UO

23. What is the name of the CURRENT UNIT?
The Unit Organizer
Unit 7
NAME 4
BIGGER PICTURE
DATE
Algebraic Representations 2
LAST UNIT
/Experience
Algebraic Relationships 1
CURRENT UNIT
CURRENT UNIT 3
NEXT UNIT
/Experience
Equations and Inequalities
Geometry 8
UNIT SCHEDULE
What is the name of the CURRENT UNIT?
(Box 1)
What is the name of the NEXT UNIT?
(Box 3)
What is the name of the BIGGER PICTURE?
(Box 4)
What is the name of the LAST UNIT?
(Box 2) 5
UNIT MAP 6
UNIT SELF-TEST QUESTIONS
RELATIONSHIPS
UNIT 7 23

24. Questions
Think about the following question: How does the current unit relate to the bigger picture?
Now, put your right hand in the air and stand up.
Find someone on the opposite side of the room and pair up.
Explain your answer to question 1.

25. R- Recognize Content Structures
C.R.A.F.T.
R- Recognize Content Structures
Box 5 on the UO
We will create a map to visually organize the major parts of this unit.
These are the main ideas to which all of the information in this unit is related.
Using the Unit Map, you should have a clear idea of how to organize your work, how to remember what you are learning, and how to check where we are heading next.

26. The last main idea of this unit is…
The Unit Organizer
Unit 7
NAME 4
BIGGER PICTURE
DATE
Algebraic Representations 2
LAST UNIT
/Experience
Algebraic Relationships 1
CURRENT UNIT
CURRENT UNIT 3
NEXT UNIT
/Experience
Equations and Inequalities
Geometry 8
UNIT SCHEDULE 5
UNIT MAP
is about...
using equations and inequalities to
represent situations by
solving
if the math statement is the truth when given a value.
6.6C
determining
one-variable, one-step problems.
6.10A, 6.2E, 6.9ABC
modeling
one-variable, one-step solutions, including the use of numberlines.
6.10A, 6.2E, 6.9ABC
The last main idea of this unit is…
The second main idea of this unit is…
The first main idea of this unit is… 6
UNIT SELF-TEST QUESTIONS
RELATIONSHIPS
UNIT 7 26

27. Questions
What is one concept from the main ideas that you have some prior knowledge on?

28. A- Acknowledge Unit Relationships
C.R.A.F.T.
A- Acknowledge Unit Relationships
Box 6 on the UO
Next we will write on the Unit Organizer the relationships that are going to be important in this unit.
By relationship, I mean how information is connected, affect each other, or fit together and what type of thinking you need to do with this information.
This will help you as you work through the unit because you will know how to think about the information you are learning. You will know what is most important.

29. Algebraic Representations UNIT SELF-TEST QUESTIONS
The Unit Organizer
Unit 7
NAME 4
BIGGER PICTURE
DATE
Algebraic Representations 2
LAST UNIT
/Experience
NEXT UNIT
/Experience
Algebraic Relationships 1
CURRENT UNIT
CURRENT UNIT 3
Equations and Inequalities
Geometry 8
UNIT SCHEDULE 5
UNIT MAP
is about...
using equations and inequalities to
represent situations by
solving
if the math statement is the truth when given a value.
6.6C
determining
one-variable, one-step problems.
6.10A, 6.2E, 6.9ABC
modeling
What is the first verb that will guide our thinking about the truth in math statements?
What is the second verb that will guide our thinking about showing solutions for equations and inequalities?
What is the last verb that will guide our thinking about solutions for equations and inequalities?
one-variable, one-step solutions, including the use of numberlines.
6.10A, 6.2E, 6.9ABC
determine 6
UNIT SELF-TEST QUESTIONS
model
RELATIONSHIPS
solve
UNIT 7 29

30. F- Frame Unit Questions
C.R.A.F.T.
F- Frame Unit Questions
Box 7 on the UO
We’ll use these questions throughout the unit to help us check our progress and understanding.
You can also use them at the end of the unit as a study guide to help you review for the assessment.

31. Algebraic Representations UNIT SELF-TEST QUESTIONS
The Unit Organizer
Unit 7
NAME 4
BIGGER PICTURE
DATE
Algebraic Representations
Now you will rate your prior knowledge of the guiding questions for this unit in the BEFORE section. 2
LAST UNIT
/Experience
Algebraic Relationships 1
CURRENT UNIT
CURRENT UNIT 3
NEXT UNIT
/Experience
Equations and Inequalities
Geometry 8
UNIT SCHEDULE 5
UNIT MAP
is about...
using equations and inequalities to
represent situations by
solving
if the math statement is the truth when given a value.
6.6C
determining
one-variable, one-step problems.
6.10A, 6.2E, 6.9ABC
modeling
one-variable, one-step solutions, including the use of numberlines.
6.10A, 6.2E, 6.9ABC
What are the inequality symbols? Before ___ After ___
How do you substitute a given value into an equation/inequality? Before ___ After ___
How do you model the solution for an equation? Before ___ After ___
What are the steps to solving a one-variable, one-step equation/inequality? Before ___ After ___
How do you determine when to reverse the inequality symbol? Before ___ After ___
How do you plot your solution from an equation/inequality on a number line? Before ___ After ___
Rating System: 0, 1, 2, 3
determine 6
UNIT SELF-TEST QUESTIONS
model
RELATIONSHIPS
solve
UNIT 7 31

32. Questions
Think about the following question: What is one idea you could tell someone about a vocabulary word or question you were above a 1 on?
Now- tell your neighbor your answer.

33. C.R.A.F.T. T- Tie Content to Tasks Box 8 on the UO
Finally, I will tell you about the activities, assignments, and assessments that you are going to complete during this unit.
We will know what is expected and we will be able to plan our time needed for work.

34. Algebraic Representations UNIT SELF-TEST QUESTIONS
The Unit Organizer
Unit 7
NAME 4
BIGGER PICTURE
DATE
Algebraic Representations 2
LAST UNIT
/Experience 3
NEXT UNIT
/Experience
Algebraic Relationships 1
CURRENT UNIT
CURRENT UNIT
Equations and Inequalities
Geometry 8
UNIT SCHEDULE 5
UNIT MAP
is about...
Unit Launch
using equations and inequalities to
represent situations by
2/1
solving
if the math statement is the truth when given a value.
6.6C
determining
2/2
Equation/Inequality Substitution Practice
one-variable, one-step problems.
6.10A, 6.2E, 6.9ABC
2/3
Modeling +/- Equations using Models
2/6
J: Solving +/- Equations
2/7
Solving +/- Equations Practice
modeling
2/8
J: Solving x/➗ Equations
2/9
Partner Perfection & Tic-Tac-Toe
one-variable, one-step solutions, including the use of numberlines.
6.10A, 6.2E, 6.9ABC
2/10
Writing & Solving 1-step equations rotations
2/13
J: Solving 1-step inequalities
2/14
I Have Who Has & Crossword
2/15
Translating Inequality Verbal Descriptions
2/16
Unit 7 Test
2/17
Concept Comparison
What are the inequality symbols? Before ___ After ___
How do you substitute a given value into an equation/inequality? Before ___ After ___
How do you model the solution for an equation? Before ___ After ___
What are the steps to solving a one-variable, one-step equation/inequality? Before ___ After ___
How do you determine when to reverse the inequality symbol? Before ___ After ___
How do you plot your solution from an equation/inequality on a number line? Before ___ After ___
Rating System: 0, 1, 2, 3
determine 6
UNIT SELF-TEST QUESTIONS
model
RELATIONSHIPS
solve
UNIT 7 34

35. Questions
When will you be taking the Unit 7 Test?

36. Review the Routine
How will the UO help you know what you need to do during the unit?
What ownership do you have in the creation of the Unit Organizer?
HINT: Look on the back…
How will the UO improve your learning?
What are the advantages of using the Unit Organizer?
What will we be doing in our next unit?
What is this unit about?
What are the 3 major points of this unit?
What is one major new concept you will learn by the end of the unit?

37. Determine a solution to the following equation models:
Equations and Inequalities is about using equations and inequalities to represent situations by determining if the math statement is the truth when given a value.
Equations and Inequalities is about using equations and inequalities to represent situations by modeling one-variable, one-step solutions, including the use of numberlines.
Equations and Inequalities is about using equations and inequalities to represent situations by solving one-variable, one-step problems.
1) Jack has 35 pages to read by the end of the day. He has read 15 pages so far. Which equation represents the number of pages Jack still has to read?
F p – 35 = 15
G 15p = 35
H 35 = p + 15
J 35 = p – 15
2) Solve the equation you got from question 1:
3) Plot your solution from question 2 on the number line below:
4) Which inequality represents the statement, “- 4 times a number is at least 17?”
A n + (-4) ≥ 17
B -4n ≤ 17
C -4n ≥ 17
D n – 4 ≤ 17
5) Solve the inequality you got from question 4:
6) Plot your solution from question 5 on the number line below:
The Inverse of ...
Is…
Addition
Subtraction
Multiplication
Division
Determine if the given value(s) make(s) each equation true.
1. h + 9 = 21; 10, 11, 12
2. 45 – k = 27; 17, 18, 19
3. 28 = r – 12; 40, 41, 42
4. 56 = 7q; 7, 8, 9
5. 9w = 45; 3, 4, 5
6. 30 / w = 5; 4, 5, 6
Which value is a solution to the inequality “3.5 more than a number m is less than 4.6?”
F 1
G 1.1
H 8
J 8.1
Determine a solution to the following equation models:
Graph the following Inequalities:
Unit Self-Test Questions

38. Activate your prior knowledge!
Exit Ticket
Activate your prior knowledge!
On the sticky note that was given to you, answer the following question:
If x = 8 ,
What is 4 ( x + 3)?