ms algebra linear systems pens, notebooks, &...
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MS Algebra – Linear SystemsPens, Notebooks, & Cash
Mr. Deyo
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:
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
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?
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.
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 ______________________
__________________________________________________
_________________________________________________.
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 ____________________
__________________________________________________
_________________________________________________.
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:
__________________________________________________
__________________________________________________
_________________________________________________.
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:
__________________________________________________
__________________________________________________
_________________________________________________.
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
Self-Evaluation: (10 min)
Download the Pre-Assessment
Rubric.
Evaluate your own paper.
E-mail me your filled-out evaluation
rubric.
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:
1) System of Linear Equations
2) Solution
3) Solve by Graphing
4) Solve by Elimination
Vocabulary
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.
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
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
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) _____________________________________________
________________________________________________.
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:
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
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
Solve:Cash Registers
3x = y
4x + y = 70
Storm Check (Think, Write, Discuss, Report)
How can you check if your answer is correct?
I can check if my answer is correct by ________
_______________________________________
_______________________________________
_______________________________________.
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:
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?
1) System of Linear Equations
2) Solution
3) Solve by Graphing
4) Solve by Elimination
Vocabulary
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
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
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
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
1) System of Linear Equations
2) Solution
3) Solve by Graphing
4) Solve by Elimination
Vocabulary
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:
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?