Lesson : Creating Problems with reasonable answers
- 2. Lesson 93: Creating Problems (with reasonable answers) Involving Volume of a Cube and Rectangular Prism in Real-Life Situations
- 3. 1. Drill Have a drill on the finding the volume of cubes and rectangular prism. Example: 15 cm 5 cm 10 cm. 15 cm. 15 cm. 15 cm.
- 4. 1.Review Have a review on solving problems on volume. What are the steps in solving word problems? Let the pupils solve this problem. Leo has a box measuring 15 cm long, 20 cm wide and 10 cm high. Find its volume?
- 5. Group the pupils into four and let them read the problem and ask them to draw the solid figure described in the problem. A rectangular garden is 25 cm long, 15 cm wide and 10 cm thick. What its volume? Ask: Can you create a problem on volume similar to the one given? Say: This time you will create problems involving the volume of a cube and a rectangular prism.
- 6. 1.Presentation Each group will present the solid figure formed. What is asked in the problem? What are the given data? What process is needed to solve the problem? What is the number sentence?
- 7. Group Work Activity Divide the class into four groups. Let each group discuss how they will make a problem based on the given situations. The first two groups will discuss situation 1 and the remaining two groups will focus on situation 2.
- 8. Situation 1: Ana has a front yard measuring 15 m long and 8 m wide. She wants to elevate it by
- 9. Situation 2: Lito’s business is to deliver water to schools. Her water tank measures 4 meters long, 2 meters wide, and 2 meters high. Every morning, he delivers a tank full of water to each of the schools
- 10. After the activities are done, let the groups post their created problems from the given situations and let them follow the task below. 1.Read the problem and ask the class to solve the problem. 2.Illustrate and solve the problem with its solution.
- 11. How did you create problems? Expected answer: 1.We familiarized ourselves with the mathematical concepts and their application to real-life situations. 2.We thought of the type of problems we want to create. 3.We read and studied some problems that we have solved and their solutions.
- 12. Study the problem. Karen has a rectangular prism with the dimensions shown in the diagram below. 8 cm. 3 cm. 5 cm.
- 13. Can you create a problem about Karen’s rectangular prism? You can create a problem by using the steps below: 1.Familiarize yourself with the concept. Think of an application to everyday life situations. 2.Think of the type of problem you want to create and the formula to be used. Relate the problem to a real- life situation. 3.Read some problems and study their situations. 4.Make your own styles/strategies to justify your solutions.
- 14. Below are the examples of problem that you can create: a.What is the volume in cubic cm of Karen’s rectangular prism? b.Karen’s rectangular prism measure 3 cm long, 5 cm wide, and 8 cm high. What is its volume?
- 15. Below is the solution Thus, the volume of the rectangular prism is 120 cubic cm.
- 16. Make a problem involving the volume of a rectangular prism with the corresponding answer based on the given situation. 1.An antique wooden chest is in the form of a cube. Its edge measures 5 cm. Problem: Answer:
- 17. 2. A closet measures 4 m long, 5 m wide, and 3 m high. Problem: Answer: 3. A flower box is 7 m long, 3 m wide, and 20 cm high. Problem: Answer:
- 18. 4. Robles family made a fish pond in their backyard measuring 5 meters long, 4 meters wide, and 5 meters deep. They sold the soil for Php50 per cubic meter. Problem: Answer:
- 19. What did you do to be able to create problems involving the volume of cube and a rectangular prism? What are the steps in creating problems?
- 20. Steps in creating problems. 1Familiarize yourself in the concepts. Think of an explanation to everyday life real situations. 2Think of the type of problem you want to create and the formula to be used. Relate the problem to real life situations. 3Study the solution in solving the problems. 4Make your own styles/strategies to justify the solutions.
- 21. Make a problem involving the volume of a rectangular prism. 1.A rectangular seed box which measures 30 dm long, 15 dm wide, and high is to be filled with soil. 2.The Reyes family dug a compost pit which measures 5 m long, 2 m wide, and 3 m deep. 3.An aquarium which is to be filled with water, measures 55 cm long, 40 cm wide, and 25 cm high.
- 22. Let the pupils make problems involving the volume of a rectangular prism with corresponding answers based on the given situations. 1.In constructing a new building, a hole 4 m deep, 10 m wide, and 115 m long was dug in the ground. 2.A room is 15 m high, 4 m wide and 10 m long. 3.A bar of gold is 25 dm long, 3 dm wide, and 2 dm high.
- 23. Let the pupils create problems involving volume, then provide solutions. 1.Ana’s sewing box is 7 dm long, 4 dm wide and 3 dm high. 2.An antique wooden chest is in the form of a cube. Its edge is 20 cm.
- 24. Enrichment Let the pupils create problems for the following situations: 1.A small gift box measures 8 cm long, 7 cm wide and 2 cm high. 2.A rectangular water tank is 5 meter high, 2 m wide and 3 m long. It contains water 2 meter high. 3.The volume of a rectangular prism is , its height is 6 cm, and its length is 4 cm.