#WithMathICan Solve Real-life Problems Involving Fraction
- Watch a video in PBS LearningMedia that shows the application of fraction in our daily life
- Discuss the example in the video to explains the usefulness of fraction in daily life
- Engage students in the lesson
- Ask each student to write a real life example involving faction by using Padlet (a shared online blackboard)
- Review the student developed examples as a whole class
- Explain the expectations and requirements of this lesson to students
- Explain to students that they will solve a fraction problem with group mates and develop a flowchart to illustrate their reasoning processes using Google Drawing Apps
2 Direct Instruction
- Introduce to a real-life problem involving fraction that students need to solve
- Example: The Mangoes Problem from the NCTM website
- Analyze the situation with students to locate problem(s)
- Review fractional concepts and problem-solving strategies that may be useful for them to tackle the problem(s).
- Elevate discussion to help students view the problem from different perspectives and think about different problem-solving approaches.
- Use Schoology Discussion forum to post questions, answers, and possible strategies and share with classmates for their reference
3 Group Practices
- After students gain the background knowledge, divide students into small groups,
- Ask each group to work with partners and develop a flowchart to list steps involved in solving the problem(s)
- Encourage them also to draw fraction circles or add charts to flowcharts to support their explanation
- Ask students to use Google Drawing to draw flowcharts
- Ask students to use Paper 53 to draw fraction circles
Ask students to write and solve the equations as an alternate method to solve the problem(s)
- After students finish developing their projects, they will share the solutions with classmates using the sharing feature of Google Drawing
- Each group will review their assigned partner group’s work and post comments or questions to each other
- The teacher will reveal the answer to the problem and review each group’s solutions
- The teacher will give positive feedback for the valid solutions, as well as suggests alternative ways to approach the problems if there are any.
- The teacher will then allow students to modify their flowcharts, so that they can observe own improvement while developing the best solution and building their confidence toward their ability in problem-solving.
Key Standards Supported
Expressions And Equations
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.
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.