Lesson Plans SET B for Grades 5-6-Homework Level 5-6 Lesson 3- Set B- Algebraic Thinking

Homework Level 5-6 Lesson 3- Set B- Algebraic Thinking

Pdf Summary

This homework is for a Math Kangaroo Class Level 5-6 and involves problems focused on algebraic thinking. Here is a summary of the given problems and their solutions:<br /><br />1. **Passenger Problem:** A plane that holds 160 passengers had not fully occupied seats. Anita observed that there were four times as many occupied seats as empty ones. Using algebra, the solution found was 128 passengers were on the plane.<br /><br />2. **Fair Ticket Problem:** At a fair, tickets for five different rides cost 1, 2, 3, 5, and 6 respectively. A class purchased enough tickets for each student to go on each ride once, with a total cost of 391. The solution indicates they bought 115 tickets.<br /><br />3. **Treasure Chest Problem:** There are four containers, each with five boxes, and each box containing three gold coins. The task is to determine how many locks need to be opened to access 50 coins. The answer to unlock the required number of coins is 22 locks.<br /><br />4. **Book Purchasing Problem:** Bob bought three books using all his money. For the first, he spent a third of his money; for the second, a third of the remaining money plus 4 more; and for the third, a quarter of what was left plus 6 more. The total spent on the books was found to be 27.<br /><br />5. **Dragon Problem:** Red and green dragons live in a cave. Red dragons have 5 heads, 6 legs, and 3 tails; green dragons have 7 heads, 8 legs, and 2 tails. With 44 tails in total and twice as many green legs as red heads, there are 8 red dragons in the cave.<br /><br />These problems test the students' abilities to apply algebraic concepts to solve real-world scenarios, encouraging logical reasoning and mathematical thinking.

Keywords

Math Kangaroo

Level 5-6

algebraic thinking

passenger problem

fair ticket problem

treasure chest problem

book purchasing problem

dragon problem

mathematical reasoning

logical thinking