Lesson Plan

Solve Systems of Equations by Graphing

Solving systems by Graphing and evaluating given solutions
Jennifer L.
Classroom teacher
Far Hills Country Day School
Far Hills, NJ
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My Grades 6, 7, 8
My Subjects Math
Objectives

Students will be able to determine the solution of a system of equations by graphing and evaluate if a given solution is applicable to a system.

Subjects
Math
Grades 7 - 9
All Notes
Teacher Notes
Student Notes

1 Hook

Activity: Exploring

Present scenario of which cell phone plan would be the best.

Student Instructions

Choose which of the following cell-phone plans would be best.  Why?

2 Direct Instruction

3 Guided-Collaborative Practice

Activity: Investigating

In a small group, or dyad, work on Activity 1: "Exploring Solutions to Linear Systems Graphically." from Cooperative Learning and Algebra 1 by Becky Bride. (pages 293-295)

Students wil ask and answer the questions with the group.  Come to consensus on a solution.

Student Instructions

Ask and answer the questions with the group.  Come to consensus on each inquiry.

4 Formative Assessment

Students answer two questions:

What is the solution to the system? 

  • Students are given a system which they will graph and then answer the quick-question with the ordered pair.

Is the given ordered pair a solution to the system?

  • Students are given an ordered pair and a system to determine if the solution is appropriate.
Student Instructions
  1. What is the solution to the system? Give your answer as an ordered pair.
  2. Is the given ordered pair a solution to the system?

5 Independent Practice

Activity: Investigating

Students complete pages 296 and 297 (or a selection of the 8 questions) to determine if they have a solid understanding of graphing systems and determining if an ordered pair is a solution of a given system.

Student Instructions

For #1-4 on the first side, determine the solution of each system by graphing.  Give your answer as an ordered pair.

For #1-4 on the second side, determine if the ordered pair is a solution of the given system.

6 Wrap-Up

Students will take a moment to identify the three types of systems they have explored graphically: parallel- inconsistent; intersecting - consistent/independent; concurrent-consistent/dependent.

Students will also give a written description of how to solve solutions graphically and how to determine if an ordered pair is the solution to a given system.

Student Instructions

Draw the three types of systems and identify each.

Explain how to solve a system graphically

Explain how to determine if an ordered pair is the solution to a given system.