UOP- Systems of Equations

Invitation

Do you have a system? At your house? System of friendship? System of games? System of arranging your stuff? Any system?

Is there a problem with your system?

How do you solve your system problem?

Tasks

Teacher talk/activities/tasks / Student talk/activities/tasks
Do you have a certain kind of system at home that you follow? / Students will give a variety of answers
What system do we have in this classroom? / Students will respond.
Is there a problem with your system at home or our system here in the classroom? / Students will respond.
How do we solve the problem with our system? / Students will give a variety of responses.
In Algebra, there is what we call SYSTEMS OF EQUATION. Just like our systems, there are problems with these systems that we need to learn how to solve.
Teacher will introduce the lesson. / Students will start copying/typing notes.
A System of Equations is a set of two or more equations with the same variables graphed on the same coordinate plane.
/ Show the slides with the definition of Systems of Equation.
Go to this website and tell me what are the different ways to solve a system of equation.
/ Students will log in to the website and answer the question.
Briefly explain each method. Write your answers on your math journals. / Students will write explanations down.
Teacher will use Inspiration to show the different methods of solving systems of equation.
/ Students will be asked to complete the diagram by going up to the board using the active board to help teacher complete the diagram
Teacher will ask students to choose one particular method to discuss first. / Student will give response.
“We will discuss solving the system by graphing” Begin lecture. Use the keynote presentation.
STUDENT TASK:
Choose any way of solving a system of equation as previously discussed. Create a brochure on pages showing your chosen way of solving a system. Use pictures, illustrations, samples on your document. Include the explanation on how to solve a given system using your chosen method. Give your won example. Save the document with the title: Systems of Equations by______. Be ready to present to class. / Students will use PAGES to create a brochure or newsletter on the Systems of Equation.

Standards

Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.

Objectives:

1.)State the definition of the system of equations

2.)Solve the system by any of the four methods discussed

3.)Graph the system

4.)Determine if the system has one solution, no solution or infinitely many solutions

Interactions - (Groupings)

Day 1 / Day 2 / Day 3 / Day 4 / Day 5
Task: Solve the system by graphing
Students will be separated into groups of 3
Students will be given a big poster paper with a big coordinate plane and a system to solve by graphing
Each group will have different systems of equations to avoid copying other group’s answers
Each group will be given 10 minutes to solve the given system
Each poster will be posted on the board and each group will have the chance to present their answers to the class
Each group will use the Grapher software to show the class a more accurate graph of their system / Task: Solve the system by adding or subtracting
Students will be separated into the same groups
Students will be given a big poster paper and a system to solve
Each group will be given 10 minutes to solve their given system
Each group will present their answers to class
Each group will put a document together showing systems solved by graphing and systems solved by adding or subtracting (suggested activities: pages, keynotes, imovie or podcasting)
Students will send finished documents to my drop box / Tasks:
(1)Review solving by graphing and by adding/subtra-cting. Online problems projected on the screen.
(2)Check your work (whole group activity).
(3)Students will go back to their groups to solve a given system using a new method: substitution.
(4)Follow the same activities as the previous sessions / Task:
Students will create a document on Pages (brochure, newsletter, poster) on their chosen method of how to solve a given system of equations.
Students will be given 30 minutes to research for their methods and create their documents.
Students will be asked to report on their brochure or newsletter in front of the class. / Warm-up
Continue reporting.
Follow-up review/re-teaching
Weekend packet

Situations - (Logistics - time, space, place)

Day 1 The lesson presentation and engagement activities will take place in the classroom. Students will be divided into groups of three. They will be given a big poster paper with a copy of a big coordinate plane the students can use for graphing and a system of equation to solve. There will be three members per group. Two will calculate/solve the system and write the answers on the poster paper, one will graph. They will be given 10 minutes to finish the task. They are required to present their works to the class and generate a graph using Grapher.

Day 2 The teacher will follow-up or re-teach previous method. Then the addition method will be discussed next.

The following days will include the discussion of all four methods of solving the system of equation. Activities such as graphing, eliminating, group work, games, book exercises will be provided in between lectures.

The final task will be:

Students will be grouped into groups of 2. If there are students who would like to work by themselves, the activity is flexible enough to allow them to work independently if they so choose to.

Assessment - (Observable - Camcordable)

Each group will be asked to present to the class their brochures, newsletter. They may print it out or use the projector to present their finished product. They will discuss their chosen method on how to solve a given system of equation.

Tools (Resources)

1.)laptop

2.)websites

3.)printer (optional)

4.)flash drive (optional)