Mini-Lecture Mini-Lecture 0.5 Percents, Rounding, and Estimating 0.10 Using the Mathematics Blueprint for Problem Solving Learning Objectives: 1. Use the Mathematics Blueprint to solve real-life problems.
Examples: 1. a) Geometry The Narbonne’s need to replace the deck floor in their backyard. The deck is 1 1 10 feet by 21 feet. If the new decking costs $3.50 per square foot, how much will it cost 2 2 them to replace the deck? (Round your answer to the nearest cent.) 1 1 b) Distance Melissa is jogging for exercise. This week she ran 1 miles on Monday, 2 2 4
miles on Tuesday, and on Thursday she ran 2
1 times the distance that she ran on Monday. 2
How many miles did she run this week? c) Real Estate In 1985, the average selling price of an existing single-family home in Lowell, MA, was $145,200. Between 1985 and 1990, the average price decreased by 5%. Then between 1990 and 2008, the average price increased by 67%. What was the average price in 1990? What was the average price in 2008? (Round to the nearest dollar) d) Budget The Price family had an income of $83,800 last year. If 32% of this income was withheld for various taxes, how much money did the Price family take home last year? e) Budget If the Price family in question d) spent 5% of their take-home income on utilities last year, how much money did they spend on utilities last year? f) Budget If the Price family in question d) spent $12,240 on food last year, what percent of their take-home income did they spend on food last year? g) Geometry The Carlson family is installing a large rectangular water fountain in their 1 backyard. If the fountain measures about 9 feet by 8 feet, and is 4.5 feet deep, about how 2 much water will it take to fill the fountain? Teaching Notes: • • • •
Refer students to the Mathematics Blueprint for Problem Solving in the textbook. Many students have trouble with application problems and will need to see several examples done out step-by-step. Encourage students to draw and label a diagram of the problem whenever possible. Encourage students to estimate the answers to check if their final solutions make sense. MLML10 10 CopyrightCopyright © 2017 Pearson © 2017 Education, Pearson Education, Inc. Inc.