A one-step equation is a mathematical model or statement that requires you to perform one step or operation in order to solve the equation. To solve an equation means to get the variable on one side of the equal sign and the numbers on the other, or isolate the variable. Additionally, the number in-front of the variable must equal one. Isolating the variable requires you to use opposite operations; if a number is being added in the equation, then you have to subtract. Most importantly, whatever you do to one side of the equal sign in the equation, you must do to the other.
Lesson Objectives:
Students will be able to:
•Isolate a variable using inverse operation in order to solve a one-step equation.
•Use technology to demonstrate their understanding of one-step equations and how to solve them.
STANDARDS:
Standards
Missouri Common Core Standards:
Analyze and solve linear equations and pairs of simultaneous linear equations.
8.EE.7. Solve linear equations in one variable.
- 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).
NCTM (National Council of Teachers of Mathematics)
Use mathematical models to represent and understand quantitative relationships
Grades 6–8 Expectations: In grades 6–8 all students should–
- model and solve contextualized problems using various representations, such as graphs, tables, and equations.
International Society for Technology in Education (ISTE); National Education Technology Standards for Students (NETS):
6. Technology Operations and Concepts: Students demonstrate a sound understanding of technology concepts, systems, and operations.
Students: a. understand and use technology systems