Understanding and Solving Systems of Linear Equations by Graphing
In this lesson, students will learn to identify and solve systems of linear equations in two variables through graphing. They will understand the concept of solutions as the points of intersection of the equations. Through warm-ups, vocabulary building, and practical examples, including real-world applications, they will solidify their grasp on solving systems. Students will engage with a graphing tool to visualize equations and confirm their solutions. By the end of this lesson, each student will confidently identify and solve systems of equations.
Understanding and Solving Systems of Linear Equations by Graphing
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Presentation Transcript
Algebra 6.1 Solving Systems by Graphing
Learning Targets Language Goal • Students will be able to identify solutions of systems of linear equations in two variables. Math Goal • Students will be able to solve systems of linear equations in two variables by graphing. Essential Questions • When do we see systems of equations around us today?
Vocabulary • System of linear equations: • Solution of a system of linear equations: A set of two or more linear equations containing two or more variables An ordered pair that satisfies each equation in the system
What is a system? • Two linear equations with 2 variables • Example: • When you find the solution you are finding the point of intersection. • Link to demonstration. • http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html
Example 2: Solving a System of Linear Equations by Graphing • A.
Example 2: Solving a System of Linear Equations by Graphing • B.
Example 2: Solving a System of Linear Equations by Graphing • C.
Example 2: Solving a System of Linear Equations by Graphing • D.
Example 3: Word Applications A. Bowl-o-rama charges $2.50 per game plus $2 for shoe rental, and Bowling Pinz charges $2 per game plus $4 for shoe rental. For how many games will the cost to bowl be the same at both places? What is that cost?
Example 3: Word Applications B. Wren and Jenni are reading the same book. Wren is on page 14 and reads 2 pages every night. Jenni is on page 6 and reads 3 pages every night. After how many nights will they have read the same number of pages? How many pages will that be?
6.1 Worksheet Directions • Start solving both equations for y. • Graph both lines. • Find the intersection. • Use the website to check your graphs and intersections. • http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html
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