Name: ______________________________ Class _________________

Unit Plan

Algebra 2: Unit 3 Part 1 – Systems of Equations and Inequalities

Monday Tuesday Wednesday Thursday Friday Black – In Class Green – Homework Blue – Things Are Due

Begin Unit (Discuss Scoring Guide, Expectations, Grading) Watch Video (Graphing, Substitution, Elimination, and Systems of Inequalities) Do Homework Packet #1

Finish Homework Packet #1 in class. All problems must be correct before you can take quiz. Quiz #1 (80% mastery do project. <80% need more practice)

Quiz #1 (80% mastery do project. <80% need more practice) Practice Packet 2 or Project Work

Make sure all of Practice Packet 2 is correct and take Quiz #2. Practice Packet 3 or Project Work

Make sure all of Practice Packet 3 is correct and take Quiz #3. (Highest Quiz score will be kept)

Project Work

Project Work Project Work Daily Work Word Problems Due!

Project Work

Study Aid Problems Due!

Project Work – 5 points extra credit for projects handed in today.

Quiz Due!

Review for Test

Project Work – Projects due by the end of the period. Review for Test

Test over sections 3.1 through 3.3

Name: ______________________________ Class _________________

Name: ______________________________ Class _________________

Ch. 3 Project - Bringing Your Word Problems to Life

Directions: You are going to create a word problem. Once you have created this word problem you will have to bring it to life and depict the story that is behind it. In

this dramatization you will need to show/teach how an individual would go about solving the problem.

First: Learn about system of equation word problems in sections 3.1 through 3.3 of your book. You will be expected to correctly complete

a certain number of these problems for participation/daily grade in class. This portion is done individually.

Second: Find two word problems and create a study aid for someone needing extra help. These problems must have a way for a student to

see the solutions all worked out. This part will be for a Quiz grade. This portion is done individually

Third: Create a quiz over this material. This quiz should require a word problem be translated into a set of equations or inequalities and then

solved by at least one of our methods learned. A solution for this quiz is required. This part will be for a Quiz grade. This portion is done

individually.

Finally: Create an original word or story problem. Be creative. There are two levels of problems you can create. You can work alone or with a

partner. If you are working with a partner you must be willing to have the same score on your lab grade. If I feel that you are not doing

your part, or if you do not get the first two levels done on time, you will not be allowed to work with a partner.

Level A - A problem in this set has a single solution. You can solve it by graphing, substitution and elimination.

Problems at this level are considered minimal and not eligible for extra credit.

Level B – A problem in this set has a feasible region and you can either maximize or minimize your objective function. Problems like these

are found in the Extension Section that begins on page 174. Problems at this level are considered advanced and can earn extra

credit.

Learning Targets for this Unit:

3.1 I can solve a system of equations by graphing 3.1 I can classify a system as consistent, inconsistent, dependent, and independent 3.2 I can solve a system by substitution 3.2 I can solve a system by elimination 3.2 I can decide on the best method to solve a system of equations. 3.3 I can solve a system of inequalities with two variables. These can include lines or absolute values.

Name: ______________________________ Class _________________

Scoring Guide

First Section – Daily/Participation Grade

Correctly complete two word problems from each of the following sections:

_________ out of 10 points

3.1 P157 #35

P157 #36

P157 #38

P159 #7 P159 #8

3.2 P165 #55

P165 #56

P166 #59

P166 #61

P166 #62

3.3 P172 #34

P172 #35

P173 #38

Extension 3.3 (Extra Credit – You may do up to 10 points of extra credit)

P176 #1 (1 point)

P176 #5 (2 point)

P176 #7 (3 point)

P176 #8 (3 point)

P176 #9 (3 point)

Second Section – Quiz Grade: Study Aids

The problems picked must be solved by graphing, substitution, elimination or by graphing a system of inequalities. Anything is acceptable in this category

as long as a person can read the problem, work the problem, and then see solution worked out, with additional notes for explanation. Ideally the solution

would be hidden from the student while they are working the problem. You must solve each of your problems a different way. You cannot use the same

problems worked for your daily grade and you cannot have the same problems as anyone in your class.

___________ out of 6 = __________ %

Study Aid #1 Problem: Graphing, Substitution, Elimination, System of

Inequalities Correct Answer Work Shown System Classified

Study Aid #2 Problem: Graphing, Substitution, Elimination, System of

Inequalities Correct Answer Work Shown System Classified

Name: ______________________________ Class _________________

Third Section – Quiz Grade: Quiz

Create a word problem quiz over this material. The quiz should have the taker assign variables, write equations, solve the system and write the solution in

a meaningful sentence. You cannot use the same problems worked for your daily grade or study aids and you cannot have the same problems as anyone

in your class. The quiz should be typed with places for someone to enter necessary information for points.

Quiz Score _______ out of 16 = ___________ % 1 1 1 1 6 2

Word Problem Assign

Variables Write

Equations Solve the System

Write Solution in a Meaningful

Way.

Solution For the

Quiz

All Typed (You may fill in a copy of

your quiz with ink and scan it in) I will help

with the scanning part

Administer Quiz

Classmate Took Quiz

and I graded it. Feedback Required. (Hand in

Quiz)

Classmate Took Quiz

and I graded it. Feedback Required. (Hand in

Quiz)

I Took Quiz.

Copy of Quiz with

My Results.

I Took Quiz. Copy of Quiz

with My Results.

Name: ______________________________ Class _________________

Final Section – Lab Grade Level A : ____________ out of 54 = ________________%

You must write a story problem. You story problem must have two unknown quantities in which equations or inequalities can be made. The story should

be plausible, meaning it could actually happen. After creating the problem, you must solve it. The solution should be worked out and explained in detail.

Problem

_____ out of 9

Two Unknown Quantities (1 point)

Plausible Situation (1 point)

The solution to the problem is explained in context of the problem. What does your answer

mean? (0 -2 points)

The story was told well. It captured my

attention. (5 points)

Creative

_____ out of 3

Very Creative – Made me laugh or take pause

(3 points)

Creative – Good problem, but only a

smile (2 points)

Well, it’s Done. It is a problem but it

lacks ingenuity (1 point)

Solution Methods

_____ out of 3

Used three methods to solve the problem.

(3 points)

Used two methods to solve the problem.

(2 points)

Used one method to solve the problem.

(1 points)

Did not solve the problem. (0 points)

Graphing Correctness

_____ out of 10

All axes labeled. (1 point)

Equations on Lines (1 point)

Axes are numbered enough to tell me how

you are counting. (1 point)

Equations are correctly graphed. (0 – 4 points)*

2 points max per line graphed.

The solution/process is carefully explained,

with great detail. (0 – 3 points)

Substitution Correctness

_____ out of 12

At least one equation is solved for a single variable. (2 points)

Equation has been substituted into another

equation. (1 point)

The problem has been simplified correctly.

(0 – 3 points)

The solution to simplified equation is correctly substituted

into the original equation (1 point)

The second quantity has been correctly found.

(0 – 2 points)

The solution/process is carefully explained,

with great detail. (0 – 3 points)

Elimination Correctness

_____ out of 13

Both Equations are placed in standard

form. (2 points)

The coefficients of one variable have been

manipulated to be the same or opposites.

(0 – 2 points)

A variable was correctly eliminated by either

adding or subtracting both equations

together. (0-2 points)

The solution to one of the variables is found

based on the manipulated equation.

(0 – 2 points)

By substitution or eliminating the other variable, the second

value is found. (0 – 2 points)

The solution process is carefully explained,

with great detail. (0 – 3 points)

Evaluation

_____ out of 4

Two Different People Evaluated My Project.

Copy of Evaluations (2 points)

One Person Evaluated My Project. Copy of

Evaluation ( 1 point)

I Evaluated 2 Different Projects.

Copy of Evaluations (2 points)

I Evaluated 1 Project. Copy of Evaluation

(1 point)

Name: ______________________________ Class _________________

Final Section – Lab Grade Level B : ____________ out of 50 = ________________%

You must write a story problem. You story problem must have two unknown quantities in which inequalities can be made. The story should be plausible,

meaning it could actually happen. After creating the problem, you must solve it. The solution should be worked out and explained in detail.

Problem

_____ out of 9

Two Unknown Quantities (1 point)

Plausible Situation (1 point)

The solution to the problem is explained in context of the problem. What does your answer

mean? (0 -2 points)

The story was told well. It captured my

attention. (5 points)

Creative

_____ out of 3

Very Creative – Made me laugh or take pause

(3 points)

Creative – Good problem, but only a

smile (2 points)

Well, it’s Done. It is a problem but it

lacks ingenuity (1 point)

Constraints

_____ out of 5

At least 5 constraints were used (5 points)

4 constraints used (4 points)

3 constraints used (3 points)

2 or fewer constraints used (0 points)

Inequalities

_____ out of 2

Only two inequalities represented horizontal

or vertical lines (2 point)

Three inequalities represented horizontal

or vertical lines (1 point)

4 or more inequalities represented horizontal

or vertical lines (0 point)

Graphing Correctness

_____ out of 14

All axes labeled. (1 point)

Equations on Lines (1 point)

Axes are numbered enough to tell me how you are counting. (1

point)

Inequality boundaries are correctly graphed.

(0 – 3 points)

The inequalities were correctly shaded.

(0 – 3) *Shade only overlap

The solution/process is carefully explained,

with great detail. (0 – 5 points)

Objective Function

_____ out of 13

Function’s purpose is clearly defined in the story. (0 – 2 points)

All intersection points of the feasible region

were correctly evaluated.

(0 – 5 points)

The answer that fulfilled the objective function

was highlighted. (1 point)

The solution/process is carefully explained, with

great detail. (0 – 5 points)

Evaluation

_____ out of 4

Two Different People Evaluated My Project.

Copy of Evaluations (2 points)

One Person Evaluated My Project. Copy of

Evaluation ( 1 point)

I Evaluated 2 Different Projects.

Copy of Evaluations (2 points)

I Evaluated 1 Project. Copy of Evaluation

(1 point)

Extra Credit

_____ out of 12 points

Create an additional Objective Function

(1 point)

Clearly define the second objective

function in the story. (1 point)

All intersection points of the feasible region

were correctly evaluated for this

function. (3 points)

The solution for this objective function was clearly explained, not only as an algebraic

process but as a quantity in the problem.

(5 points)

6 or more constraints were used in defining the feasible region.

Only two of them can be horizontal and vertical. (2 points)

Name: ______________________________ Class _________________

Resource List – This are a sample of what is available to you. Please feel free to explore other options. I have additional textbooks in class if needed.

Learning Target: 3.1 I can solve a system of equations by graphing

Book: pp153 – 155.

My Video

Website: http://www.regentsprep.org/Regents/math/ALGEBRA/AE3/GrSys.htm

Website: Math Ops http://www.mathops.com/free/a1ls001.php

Video: Solving Systems of Linear Equations by Graphing http://youtu.be/eD7FnWnCoQk

Video: Khan Academy.org http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/solving-linear-systems-by-graphing

Learning Target: 3.1 I can classify a system as consistent, inconsistent, dependent, and independent

Book: p154

My Video

Website: Math Ops http://www.mathops.com/free/a1ls008.php

Video: Lesson 3.1: Introduction to Classifying Systems of Equations

http://youtu.be/SUej8kb3sD0

Video: Khan Academy.org (Consistent and Inconsistent)

http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/consistent-and-inconsistent-systems

Video: Khan Academy.org (Dependent and Independent)

http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/independent-and-dependent-systems

Name: ______________________________ Class _________________

Learning Target: 3.2 I can solve a system by substitution

Book: p160

My Video

Website: Math Ops http://www.mathops.com/free/a1ls002.php , http://www.mathops.com/free/a1ls010.php

http://www.mathops.com/free/a1ls003.php http://www.mathops.com/free/a1ls003.php

Video: Solving a system of linear equations by substitution http://www.youtube.com/watch?v=5FGLWUUuhyU

Video: Khan Academy.org

http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/solving-systems-by-substitution-1

http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/solving-systems-by-substitution-2

http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/solving-systems-by-substitution-3

Learning Target: 3.2 I can solve a system of equations by elimination

Book: p161

My Video

Website: Math Ops http://www.mathops.com/free/a1ls005.php , http://www.mathops.com/free/a1ls006.php

http://www.mathops.com/free/a1ls007.php

Videos: Solving Systems by Elimination http://www.youtube.com/watch?v=u5Er9bXAcM8

Videos: Khan Academy.org http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/simple-elimination-practice

http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/solving-systems-by-elimination-2

Name: ______________________________ Class _________________

Learning Target: 3.2 I can decide on the best method to solve a system of equations.

My Video

Book: pp168-170

My Video

Website: Math Ops http://www.mathops.com/free/a1li014.php

Videos: Solving Systems of Linear Inequalities

http://www.youtube.com/watch?v=lxXSwFXPuEs

http://www.youtube.com/watch?v=rCB6cjDHY9k&feature=related

Videos: Khan Academy.org

http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/systems-of-linear-inequalities