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?