Lesson 5
Percent Increase and Decrease with Equations
Lesson Narrative
In this lesson, students represent situations involving percent increase and percent decrease using equations. They write equations like y = 1.06x to represent growth of a bank account, and use the equation to answer questions about different starting amounts. They write equations like t - 0.25t = 12 or 0.75t=12 to represent the initial price t of a T-shirt that was $12 after a 25% discount. The focus of this unit is writing equations and understanding their connection to the context. In a later unit on solving equations the focus will be more on using equations to solve problems about percent increase and percent decrease.
When students repeatedly apply a percent increase to a quantity and see that this operation be expressed generally by an equation, they engage in MP8.
Learning Goals
Teacher Facing
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Explain (orally and in writing) how to calculate the original amount given the new amount and a percentage of increase or decrease.
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Generate algebraic expressions that represent a situation involving percent increase or decrease, and justify (orally) the reasoning.
Student Facing
Let’s use equations to represent increases and decreases.
Learning Targets
Student Facing
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I can solve percent increase and decrease problems by writing an equation to represent the situation and solving it.
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