The goal of this activity is to give meaning to creating equations and expressions by providing students with a real-world challenge that requires students to create equations to solve a problem. This activity requires students to create a business proposal where they must create equations and simplify expressions in order to solve a problem posted by a small business owner.
This activity comes with:
*Student friendly "I will..." statements
*2 extension activities for advanced students
*1 follow-up lesson activity
*Suggested lesson layout with warm-up, activity and exit slip
*Extra Practice Problems
The activity requires concepts that touch upon the following CCSS:
*CCSS.MATH.CONTENT.6.EE.C.9-- Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
*CCSS.MATH.CONTENT.6.EE.B.7-- Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
*CCSS.MATH.CONTENT.6.EE.B.6-- Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
*CCSS.MATH.CONTENT.7.EE.A.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
*CCSS.MATH.CONTENT.7.EE.B.4--Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.