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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.
Units
Unit 1: Exponents
Unit 2: Manipulating Algebraic Expressions
Unit 3: Radicals and Rational Functions
In this lesson, students will simplify and order radicals involving integers and rational numbers. Technology will be used to estimate the value of a radical.
In this lesson, students will simplify radical expressions involving addition, subtraction, and multiplication. They will also learn how to rationalize the denominator.
In this lesson, students will define extraneous roots and will solve radical equations algebraically and graphically. They will identify restrictions on the domain and any extraneous roots and will solve real world problems.
In this lesson, students will be introduced to rational expressions. They will identify and simplify rational expressions and state the restrictions on the variable values.
In this lesson, students will simplify rational expressions by multiplying and dividing and will state the restrictions on the variable values.
In this lesson, students will determine a common denominator for rational expressions. They will use this common denominator to add and subtract rational expressions. Students will combine operations to simplify rational expressions.
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.