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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

This lesson will review the concept of a variable. Students will classify polynomials based on the number of terms and will state the degree of the polynomial.

In this lesson, students will learn to identify like terms. They will also add and subtract polynomials by collecting like terms.

In this lesson, students will learn to multiply a polynomial by a monomial using the distributive property.

In this lesson, students will apply the Distributive Property to multiply a polynomial by a polynomial.  

In this lesson, students will simplify polynomials using addition, subtraction, and multiplication.  They will also determine if two algebraic expressions are equivalent.

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.

Unit 3: Radicals and Rational Functions

Unit 4: Prime Factorization