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

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.

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

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

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.

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 ______________________ __________________________________________________ _________________________________________________.

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 ____________________ __________________________________________________ _________________________________________________.

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: __________________________________________________ _________________________________________________.

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: __________________________________________________ _________________________________________________.

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

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

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.

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

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

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

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?

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:

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

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?

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:

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

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.

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?

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

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?

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?

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?

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?

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

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.

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?