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## Solving Systems of Equations Algebraically

### Description

This lesson is used to review how to solve both linear and linear-quadratic systems algebraically.

### Objectives

• Students will be able to solve linear systems and linear-quadratic systems algebraically.
• Given the steps of a systems problem students will be able to place them in the correct order.

### Duration

One 45-minute class period

### Materials

• Solving Systems Algebraically SMART notebook lesson
• Solving Systems Algebraically Worksheet
• Extra Examples Worksheet
• SMART Board, Projector, computer

### Procedure

Students will review methods for solving linear systems of equations and linear-quadratic systems of equations.

Display "Solving Systems Algebraically SMART notebook file".

• Page One: Contains an example, with steps for the substitution method for solving linear systems. Each step is hidden under a white box that is labeled with a small number to indicate the order that the boxes should be moved. Students should copy this example into their notebooks.
• Page Two: One linear system example to be worked through with the students. Again, this example should go in their notebook.
• Page Three: Contains an example, with steps for the substitution method for solving linear-quadratic systems. Each step is hidden under a white box that is labeled with a small number to indicate the order that the boxes should be moved. Students should copy this example into their notebooks.
• Page Four: One linear-quadratic system example to be worked through with the students. Again, this example should go in their notebook.

Hand out worksheet titled "Solving Systems Algebraically". This worksheet contains the student examples from the SMART notebook file.

• Page Five: Here is the first interactive example. This is to be completed by the teacher to demonstrate what students are expected to do in later slides. There are steps to the problem on the right side of the slide. Each step has been set to infinitely clone. The teacher should select the steps in the correct order, drag each and place it under the example. This is the first example on the worksheet "Solving Systems Algebraically". Students should complete the work there.
• Pages Six - Eleven: More interactive examples. Students should come to the board and follow the steps that the teacher presented in the first example. Students sitting in their seats should be completing the examples on the worksheet. The examples on the pages are in the same order as the examples on the worksheet.
• Page Twelve: Extra Examples. Students can work on these in class or it can be done for homework. These problems can also be found on the "Extra Examples Worksheet".

### Assessment

Students understanding will be assessed upon completion of their SMART board problem. As well as, completion of each worksheet.