MS Algebra Linear Systems Pens, Notebooks, &...
Transcript of MS Algebra Linear Systems Pens, Notebooks, &...
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MS Algebra – Linear SystemsPens, Notebooks, & Cash
Mr. Deyo
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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.
Learning Target
Title: Linear Systems – Notebooks, Pens & Cash Date:
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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 ContentsDate Description Date Due
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Storm Check (Think, Write, Discuss, Report)
Questions on which to ponder and answer:1. How are the two images similar?
2. How are they different?
3. How can these two images be related to math?
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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.
E-mail me your final draft of
the document.
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EvaluationA store sells pens at $2 and notebooks at $5.
n = number of notebooks sold
p = number of pens sold The following equations are true:
4n = p5n + 2p = 39
Is Dan correct?
Dan (is / is not) correct because ______________________
__________________________________________________
_________________________________________________.
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EvaluationA store sells pens at $2 and notebooks at $5.
n = number of notebooks sold
p = number of pens sold The following equations are true:
4n = p5n + 2p = 39
Is Emma correct?
Emma (is / is not) correct because ____________________
__________________________________________________
_________________________________________________.
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EvaluationA store sells pens at $2 and notebooks at $5.
n = number of notebooks sold
p = number of pens sold The following equations are true:
4n = p5n + 2p = 39
Explain the first equation in your own words:
__________________________________________________
__________________________________________________
_________________________________________________.
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EvaluationA store sells pens at $2 and notebooks at $5.
n = number of notebooks sold
p = number of pens sold The following equations are true:
4n = p5n + 2p = 39
Explain the second equation in your own words:
__________________________________________________
__________________________________________________
_________________________________________________.
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SolveA store sells pens at $2 and notebooks at $5.
n = number of notebooks sold
p = number of pens sold
The following equations are true:
4n = p5n + 2p = 39
![Page 11: MS Algebra Linear Systems Pens, Notebooks, & Cashhelpmeteach.weebly.com/uploads/1/7/1/...systems_-_notebooks_pen… · Title: Linear Systems –Notebooks, Pens & Cash Date: Home Work](https://reader033.fdocuments.us/reader033/viewer/2022051914/6004ea483fc7463807156bf1/html5/thumbnails/11.jpg)
Self-Evaluation: (10 min)
Download the Pre-Assessment
Rubric.
Evaluate your own paper.
E-mail me your filled-out evaluation
rubric.
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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.
Learning Target
Title: Linear Systems – Notebooks, Pens & Cash Date:
![Page 13: MS Algebra Linear Systems Pens, Notebooks, & Cashhelpmeteach.weebly.com/uploads/1/7/1/...systems_-_notebooks_pen… · Title: Linear Systems –Notebooks, Pens & Cash Date: Home Work](https://reader033.fdocuments.us/reader033/viewer/2022051914/6004ea483fc7463807156bf1/html5/thumbnails/13.jpg)
1) System of Linear Equations
2) Solution
3) Solve by Graphing
4) Solve by Elimination
Vocabulary
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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
Friendly DefinitionSketch
Wordwork Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
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
DAY 1
1. Use Visuals
2. Introduce the word
Friendly Definition
Physical Representation
3. Use Cognates
4. Write friendly definition
5. Physical Representation
Word List1.2.3.4.
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Notes: 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 = y4x + y = 70
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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?
Cash Registers
3x = y4x + y = 70
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Step 1: 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 = y4x + y = 70
Explain in words the meaning of each equation:
Eq.1) _____________________________________________
________________________________________________.
Eq.2) _____________________________________________
________________________________________________.
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Steps 2 & 3:
3x = y
x y
4x + y = 70
x y
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:
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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?
Cash Registers 3x = y 4x + y = 70
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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?
Cash Registers 3x = y 4x + y = 70
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Solve:Cash Registers
3x = y
4x + y = 70
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Storm Check (Think, Write, Discuss, Report)
How can you check if your answer is correct?
I can check if my answer is correct by ________
_______________________________________
_______________________________________
_______________________________________.
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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.
Learning Target
Title: Linear Systems – Notebooks, Pens & Cash Date:
![Page 24: MS Algebra Linear Systems Pens, Notebooks, & Cashhelpmeteach.weebly.com/uploads/1/7/1/...systems_-_notebooks_pen… · Title: Linear Systems –Notebooks, Pens & Cash Date: Home Work](https://reader033.fdocuments.us/reader033/viewer/2022051914/6004ea483fc7463807156bf1/html5/thumbnails/24.jpg)
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?
![Page 25: MS Algebra Linear Systems Pens, Notebooks, & Cashhelpmeteach.weebly.com/uploads/1/7/1/...systems_-_notebooks_pen… · Title: Linear Systems –Notebooks, Pens & Cash Date: Home Work](https://reader033.fdocuments.us/reader033/viewer/2022051914/6004ea483fc7463807156bf1/html5/thumbnails/25.jpg)
1) System of Linear Equations
2) Solution
3) Solve by Graphing
4) Solve by Elimination
Vocabulary
![Page 26: MS Algebra Linear Systems Pens, Notebooks, & Cashhelpmeteach.weebly.com/uploads/1/7/1/...systems_-_notebooks_pen… · Title: Linear Systems –Notebooks, Pens & Cash Date: Home Work](https://reader033.fdocuments.us/reader033/viewer/2022051914/6004ea483fc7463807156bf1/html5/thumbnails/26.jpg)
Evaluation
• 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?
Cash Registers
3x = y4x + y = 70
![Page 27: MS Algebra Linear Systems Pens, Notebooks, & Cashhelpmeteach.weebly.com/uploads/1/7/1/...systems_-_notebooks_pen… · Title: Linear Systems –Notebooks, Pens & Cash Date: Home Work](https://reader033.fdocuments.us/reader033/viewer/2022051914/6004ea483fc7463807156bf1/html5/thumbnails/27.jpg)
Evaluation
• 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?
Cash Registers
3x = y4x + y = 70
![Page 28: MS Algebra Linear Systems Pens, Notebooks, & Cashhelpmeteach.weebly.com/uploads/1/7/1/...systems_-_notebooks_pen… · Title: Linear Systems –Notebooks, Pens & Cash Date: Home Work](https://reader033.fdocuments.us/reader033/viewer/2022051914/6004ea483fc7463807156bf1/html5/thumbnails/28.jpg)
Evaluation
• 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?
Cash Registers
3x = y4x + y = 70
![Page 29: MS Algebra Linear Systems Pens, Notebooks, & Cashhelpmeteach.weebly.com/uploads/1/7/1/...systems_-_notebooks_pen… · Title: Linear Systems –Notebooks, Pens & Cash Date: Home Work](https://reader033.fdocuments.us/reader033/viewer/2022051914/6004ea483fc7463807156bf1/html5/thumbnails/29.jpg)
Evaluation
• 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?
Cash Registers
3x = y4x + y = 70
![Page 30: MS Algebra Linear Systems Pens, Notebooks, & Cashhelpmeteach.weebly.com/uploads/1/7/1/...systems_-_notebooks_pen… · Title: Linear Systems –Notebooks, Pens & Cash Date: Home Work](https://reader033.fdocuments.us/reader033/viewer/2022051914/6004ea483fc7463807156bf1/html5/thumbnails/30.jpg)
1) System of Linear Equations
2) Solution
3) Solve by Graphing
4) Solve by Elimination
Vocabulary
![Page 31: MS Algebra Linear Systems Pens, Notebooks, & Cashhelpmeteach.weebly.com/uploads/1/7/1/...systems_-_notebooks_pen… · Title: Linear Systems –Notebooks, Pens & Cash Date: Home Work](https://reader033.fdocuments.us/reader033/viewer/2022051914/6004ea483fc7463807156bf1/html5/thumbnails/31.jpg)
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.
Learning Target
Title: Linear Systems – Notebooks, Pens & Cash Date:
![Page 32: MS Algebra Linear Systems Pens, Notebooks, & Cashhelpmeteach.weebly.com/uploads/1/7/1/...systems_-_notebooks_pen… · Title: Linear Systems –Notebooks, Pens & Cash Date: Home Work](https://reader033.fdocuments.us/reader033/viewer/2022051914/6004ea483fc7463807156bf1/html5/thumbnails/32.jpg)
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?