Lesson Plans SET A for Grades 7-8-PDF Lesson 1 Level 7-8 Rational Numbers-Class Student

PDF Lesson 1 Level 7-8 Rational Numbers-Class Student

Pdf Summary

This course, aimed at levels 7-8 of the Math Kangaroo, focuses on enhancing problem-solving skills with rational numbers. Designed for middle school students, it includes a progression from understanding to applying mathematical concepts through exercises and contest problems. The initial lessons introduce calculations with rational numbers, covering multiples and factors, algebraic thinking, percentages, and two types of geometry. The curriculum shifts towards more advanced topics such as combinatorics and logic over ten lessons.<br /><br />Rational numbers, including fractions or repeating decimals, contrast with irrational numbers like π and e. Calculations with these numbers rely on foundational tools like the Order of Operations (PEMDAS), ensuring problem-solving accuracy. Additional mathematical properties, such as associative and commutative laws, are crucial for manipulating expressions and facilitating rational number calculations.<br /><br />The course illustrates a 4-step problem-solving strategy: understanding the problem, planning, executing, and reflecting on the solution. This strategy is applicable across various mathematical problems encountered during the Math Kangaroo contest preparation.<br /><br />The class also includes a "Genius Hour" project, where students create and present their own Math Kangaroo-type problems. This exercise encourages creative problem-solving inspired by individual interests and hobbies, further deepening understanding through practical application.<br /><br />Sample problems from past Math Kangaroo contests form a critical component of the learning process, challenging students to engage deeply with rational numbers. These problems range from finding the least possible product of selected numbers to solving using the greatest 2-digit numbers, all designed to approximate real contest conditions.<br /><br />The course closure emphasizes the significance of the 4-step problem-solving strategy, preparing students with essential skills for future mathematical challenges and competitions.

Keywords

Math Kangaroo

rational numbers

problem-solving

middle school

combinatorics

geometry

algebraic thinking

Genius Hour

contest preparation

mathematical concepts