Enduring understandings
By the end of this unit, you will understand that:
 Radical expressions can be simplified using the properties of roots.
 There are algebraic rules that must be followed in mathematics.
Essential questions
By the end of this unit, you will be able to answer these questions:
 What patterns help us simplify radical expressions?
 What is the meaning of a rational (fractional) exponent?
 What processes help us solve radical equations?
Unit Goals
Knowledge By the end of this unit, you should know:

Root, square root, nth root, principal root, index, radical, radicand

Product & quotient properties of radicals

Rationalizing denominators, conjugate

Like radical expressions

Rational exponents and radical expressions (connection between)

Radical equations (methods of solving), extraneous solutions
Skills By the end of this unit, you should be able to:

Simplify radical expressions (numbers, variables, signs)

Use addition, multiplication and division rules to simplify radical expressions and rationalize denominators

Rewrite expressions with rational exponents as a radical (and vice versa)

Simplify expressions involving rational exponents (using radical properties)

Solve radical equations (isolate variable, square both sides)

Lesson
Mon 10 Jan
Wed 12
Fri 14
Mon 17
Wed 19
Fri 21
Wed 26
Fri 28
Concept Exercises
[Semester 1 Exam review]
Naming radical expressions
Root, square root, nth root, principal root, index, radical, radicand
Simplifying radical expressions
–multiplication p 20 Q 9 – 18 p 42 Q 20 – 29 p 610 Q 11 – 33 odds
Q 37 – 47 odds
Addition, multiplication and division rules for simplifying radical expressions
Rationalizing denominators (using conjugates) p 611 Q 58 – 69 p 612 Q 74 – 76 p 616 Q 9 – 35 odds p 617 Q 47 – 55
The relationship between rational exponents and radicals
Simplifying expressions involving rational exponents
Radical Equations
Worksheet 1
Radical Equations and extraneous solutions
Quiz
Review
Test p 617 Q 38 – 43 p 623 Q 7 – 16
Worksheet 2 p 623-4 Q 19 – 35 odds
Q 43 – 48
Worksheet 3