1. MS Algebra – Linear Systems Pens, Notebooks, & Cash
Mr. Deyo

2. Title: Linear Systems – Notebooks, Pens & Cash
Date:
Learning Target
By the end of the period, I will evaluate the problem-solving methods used to find solutions to linear systems.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section ______ 3) Section ______
TxtBk. Problems_________ Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer:
How are the two images similar?
How are they different?
How can these two images be related to math?
IMAGE 1
IMAGE 2

5. Pre-Assessment: (20 min)
Download the
Pre-Assessment
Read through the questions, and try to answer them as
carefully as you can.
Show all your work, so that I can understand your
reasoning.
me your final draft of the document.

6. Evaluation 5n + 2p = 39 Is Dan correct?
A store sells pens at $2 and notebooks at $5.
n = number of notebooks sold
p = number of pens sold
Evaluation
The following equations are true:
4n = p
5n + 2p = 39
Is Dan correct?
Dan (is / is not) correct because ______________________
__________________________________________________
_________________________________________________.

7. Evaluation 5n + 2p = 39 Is Emma correct?
A store sells pens at $2 and notebooks at $5.
n = number of notebooks sold
p = number of pens sold
Evaluation
The following equations are true:
4n = p
5n + 2p = 39
Is Emma correct?
Emma (is / is not) correct because ____________________
__________________________________________________
_________________________________________________.

8. Evaluation 5n + 2p = 39 Explain the first equation in your own words:
A store sells pens at $2 and notebooks at $5.
n = number of notebooks sold
p = number of pens sold
Evaluation
The following equations are true:
4n = p
5n + 2p = 39
Explain the first equation in your own words:
__________________________________________________
_________________________________________________.

9. Evaluation 5n + 2p = 39 Explain the second equation in your own words:
A store sells pens at $2 and notebooks at $5.
n = number of notebooks sold
p = number of pens sold
Evaluation
The following equations are true:
4n = p
5n + 2p = 39
Explain the second equation in your own words:
__________________________________________________
_________________________________________________.

10. Solve 5n + 2p = 39 A store sells pens at $2 and notebooks at $5.
n = number of notebooks sold
p = number of pens sold
Solve
The following equations are true:
4n = p
5n + 2p = 39

11. Self-Evaluation: (10 min)
Download the Pre-Assessment Rubric.
Evaluate your own paper.
me your filled-out evaluation rubric.

12. Title: Linear Systems – Notebooks, Pens & Cash
Date:
Learning Target
By the end of the period, I will evaluate the problem-solving methods used to find solutions to linear systems.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

13. Vocabulary System of Linear Equations Solution Solve by Graphing
Solve by Elimination

14. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

15. Cash Registers 4x + y = 70 Notes:
The drawer of a cash register contains some quarters and some dollar bills.
x = the number of quarter coins in the cash register
y = the number of dollar bills in the cash register
The following two equations are true:
3x = y
4x + y = 70

16. What do the letters x and y represent?
Cash Registers
3x = y
4x + y = 70
Step 1 (Continued):
What do the letters x and y represent?
Replace x and y in this equation by words and now say what the equation means.
Are there more dollar bills or more quarters in the cash register? How do you know?

17. Explain in words the meaning of each equation:
Cash Registers
The drawer of a cash register contains some quarters and some dollar bills.
x = the number of quarter coins in the cash register
y = the number of dollar bills in the cash register
The following two equations are true: 3x = y
4x + y = 70
Explain in words the meaning of each equation:
Eq.1) _____________________________________________
________________________________________________.
Eq.2) _____________________________________________
Step 1:

18. Steps 2 & 3:
Find 2 pairs of values for x and y that satisfy the first equation :
Find 2 pairs of values for x and y that satisfy the second equation:
3x = y
4x + y = 70 x y x y

19. Cash Registers 3x = y 4x + y = 70
Step 3 (Continued)
Do you have any values for x and y that work for the first equation?
How can you check to see if they also work for the second one?
If these don’t fit, what other values for x and y can you use?

20. Cash Registers 3x = y 4x + y = 70
Step 4:
Suppose there are 5 quarters in the drawers of the cash register, so x = 5. From the first equation, how many dollar bills are there?
From the second equation, how many dollar bills are there?
Can you find a value for x that will give the same answer in both cases?

21. Cash Registers
3x = y
4x + y = 70
Solve:

22. Storm Check (Think, Write, Discuss, Report)
How can you check if your answer is correct? I can check if my answer is correct by ________ _______________________________________ _______________________________________.

23. Title: Linear Systems – Notebooks, Pens & Cash
Date:
Learning Target
By the end of the period, I will evaluate the problem-solving methods used to find solutions to linear systems.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

24. Home Work 1-2-3: 1) Storm Check Pasted in Notebook?
2) Section ______ 3) Section ______
RFM / RT Problems_________ Notes Copied in Notebook?
Pasted & Solved in Notebook?

25. Vocabulary System of Linear Equations Solution Solve by Graphing
Solve by Elimination

26. Evaluation Cash Registers 3x = y 4x + y = 70 • What do you like about
this student’s work?
• What method did the student use? Is it clear? Is it efficient?
• What errors did the student make?
• How might the work be improved?

27. Evaluation Cash Registers 3x = y 4x + y = 70 • What do you like about
this student’s work?
• What method did the student use? Is it clear? Is it efficient?
• What errors did the student make?
• How might the work be improved?

28. Evaluation Cash Registers 3x = y 4x + y = 70 • What do you like about
this student’s work?
• What method did the student use? Is it clear? Is it efficient?
• What errors did the student make?
• How might the work be improved?

29. Evaluation Cash Registers 3x = y 4x + y = 70 • What do you like about
this student’s work?
• What method did the student use? Is it clear? Is it efficient?
• What errors did the student make?
• How might the work be improved?

30. Vocabulary System of Linear Equations Solution Solve by Graphing
Solve by Elimination

31. Title: Linear Systems – Notebooks, Pens & Cash
Date:
Learning Target
By the end of the period, I will evaluate the problem-solving methods used to find solutions to linear systems.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

32. Home Work 1-2-3: 1) Storm Check Pasted in Notebook?
2) Section ______ 3) Section ______
RFM / RT Problems_________ Notes Copied in Notebook?
Pasted & Solved in Notebook?