The use of proportions is important in many trade jobs and in many areas of life such as calculating cost, budgeting, and cooking. The guided and independent practice problems are designed to show students how they might have to use this particular math skill in trade jobs.
At the end of this lesson, students will be able to set up a proportion and solve for an unknown variable in a workplace reading problem. Students will watch the instructor model examples, solve word problems with a partner, solve word problems independently, create their own word problem and solution, and work a partner’s sample problem.
Student Target
“I can set up and solve proportion problems in workplace reading problems.”
CCR Focus Standards
Number and Ratios - Level D
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?
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)
Algebra and Functions - Level D
Supporting Standards
Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
Standards for Mathematical Practice
Make sense of problems and persevere in solving them. (MP.1)
Model with mathematics. (MP.4)
KYAE Employability Standards
E.7 Accurately analyze information and respond appropriately.
E.9 Analyze self-performance to better understand strengths and areas for improvement.