Overview: In this engaging animated lesson, the student will develop an understanding of systems of equations that involve variable quantities. Students analyze, model and solve problems using various representations, such as tables, graphs and equations.
Each buyer will receive
1) Animated PowerPoint notes
2) Teacher notes
3) Student Guided Notes
4) Homework Question Sheet (Bloom’s Taxonomy)
5) Homework Answer Sheet
6) Homework Answer Key
7) An Engaging Circle the Sage activity (with Answer Sheet) to reinforce learning
Performance Objectives: Within the context of this lesson, students will be asked to:
Define a ‘system of equations’
• Define ‘simultaneous’ equations
• Solve a system of equations graphically
• Solve a system of equations mathematically
• Identify the coordinates of the point of intersection
• Describe what a solution means for a single linear equation
• Describe what a solution means for a system of linear equations
Common Core Standards: 8th Grade
8.EE - Expressions & Equations ~ Expressions and Equations work with radicals and integer exponents.; Understand the connections between proportional relationships, lines, and linear equations.; Analyze and solve linear equations and pairs of simultaneous linear equations.
8.EE. 7a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers)
8.EE. 8. Analyze and solve pairs of simultaneous linear equations
8.EE. 8a. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
8.EE. 8b. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
8.EE. 8c. Solve real-world and mathematical problems leading to two linear equations in two variables