The ability to add, subtract, multiply, and divide fractions is an important skill to solve real life math problems. The guided and independent practice problems are designed to show students how they might have to solve problems with fractions for power/energy jobs and other trade jobs.
At the end of this lesson, students will be able to add, subtract, multiply, and divide fractions and mixed numbers to solve word problems related to trade jobs.
Students will watch instructor model examples of each type of problem, solve similar problems with a partner, and solve problems independently.
Student Target
“I can add, subtract, multiply, and divide fractions and mixed numbers to solve word problems related to trade jobs.”
CCR Focus Standards
Number and Ratios - Level C
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
Number and Ratios - Level D
Solve real-world and mathematical problems involving the four operations with rational numbers.
Supporting Standards
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
Standards for Mathematical Practice
Make sense of problems and persevere in solving them. (MP.1)
Reason abstractly and quantitatively. (MP.2)
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.