Students will fill in missing data in a table after finding the percent of increase or percent of decrease to calculate pricing items at the gift shop, calculating high traffic volume periods, and creating work schedules for their career in hospitality and tourism.
The purpose of this lesson is to enhance the understanding of percent and ratio use, to be able to proficiently perform repeated calculations to find the percent of increase or decrease for real-life and work related scenarios, to be able to create tables/charts that visually summarizes the information, as well as reasoning through word problems to determine appropriate computations needed.
Pre-requisite Knowledge: Number base 10 and fractions. Ideally, students will already have some experience working with ratios, and will have basic understanding on how to read graphs.
At the end of this lesson, students will be able to:
Find the percent of increase and/or the percent of decrease
Visually represent the information using tables, graphs, or charts
Understand the real-life application.
Student Target
I can find the percent of increase or decrease and create tables that represent this information to perform a specific real-life tasks.
CCR Focus Standards
Number and Ratios - Level D
Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. (Also see 7.G.1 and G.MG.2)
Supporting Standards
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. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.” [Also see A.SSE.2, A.SSE .3, A.SSE .3a, A.CED.4]
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
