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Grades 9/10/11 Number Sense and Algebraic Expressions

Exponent laws. Manipulating expressions including polynomials, radical and rational expressions. Investigating prime factorization.

This is one of seven strands of the CEMC Grade 9/10/11 courseware. The other strands and more information about this courseware is available on the Grade 9/10/11 homepage.

Unit 1: Exponents

Unit 2: Manipulating Algebraic Expressions

Unit 3: Radicals and Rational Functions

Unit 4: Prime Factorization

In this lesson, students will define prime and composite numbers. They will learn to write composite numbers as a product of its prime factors.

In this lesson, students will use prime factorization to determine the Greatest Common Factor (GCF) and the Least Common Multiple (LCM). They will solve word problems involving GCF and LCM.

All of the pencil and paper practice exercises, answers, and solutions for this unit are reproduced here.

This is a collection of additional, and sometimes challenging, problems that extend the material covered in this unit, connect material from different lessons, and further explore real-world applications.