Lesson Plans SET B for Grades 7-8-PDF Lesson 4 Level 7-8 Work Rate Ratio-Class Student

PDF Lesson 4 Level 7-8 Work Rate Ratio-Class Student

Pdf Summary

The Math Kangaroo Level 7-8 section focuses on critical mathematical concepts: work, rate, and ratio, emphasizing understanding, calculation, and application through multiple approaches. The content covers a curriculum including calculations with rational numbers, number theory, algebraic thinking, statistics, geometry (2D, circles, 3D), and logical thinking. It uses a 4-step problem-solving strategy that emphasizes understanding, planning, executing, and reviewing a solution.<br /><br />Key mathematical definitions include:<br />- **Ratios**: Comparison of two or more numbers with the same units, which can be used to relate parts to another or to the whole.<br />- **Rates**: Comparison of two quantities with different units, often expressed as a unit rate, like speed (distance over time).<br />- **Work Problems**: Involve scenarios similar to distance problems where 'work' integrates with rate and time. These may involve single or multiple workers combining their rates.<br /><br />The section includes problem examples from various Math Kangaroo contests, spanning different years, such as:<br />1. Finding salt content in seawater based on weight ratio.<br />2. Calculating currency exchange values.<br />3. Analyzing dance pair participation.<br />4. Examining travel times with mixed transportation modes.<br />5. Solving complex work collaborations.<br />6. Determining round trip average speeds and more.<br /><br />A Genius Hour project supplements the course, urging students to explore in-depth math problems, demonstrate solutions, and present findings. This project emphasizes clear communication, involving a concise presentation with slides detailing the problem and solution.<br /><br />Finally, the wrap-up encourages student reflection and discussion on the various methods and strategies learned throughout the course, fostering a deeper understanding and sharing of personal preferences in problem-solving techniques.

Keywords

Math Kangaroo

work problems

ratios

rates

problem-solving

algebraic thinking

geometry

Genius Hour

number theory

statistics