Technology Integration Workshop
2014
Unit Title: Algebraic Radicals
Grade Level: (example: 9, 10, 11, 12 or 7-8) 12
Subject Area: (example: Science, Physics; English, Short Stories) Math, College Readiness
Duration/Length/Number of class periods: (example: 5 class periods) 10 Class Periods
Description: This unit will cover the basics of radical expression manipulation with the goal being to be able to solve radical
equations following this unit.
Established Goals (National, State, Local):
Minnesota State Mathematics Standard:
9.2.3.6 – Apply the properties of positive and negative rational exponents to generate
equivalent algebraic expressions, including those involving nth roots.
What Enduring Understandings are desired?
1. Radicals are simplified when all factors of the same order as the radical are removed.
2. Radicals with the same number under the radical symbol can be combined through addition and subtraction.
3. Irrational numbers, including radicals, cannot be in a denominator because you cannot divide by an irrational number. 4.
Radicals can be multiplied and divided.
What Essential Questions will be considered?
1. How do we factor out what is possible from a radical?
2. How do we change a denominator so that it is not irrational?
3. How do I add or subtract radicals?
4. How do we multiply or divide radicals?
5. Why should I learn how to manipulate radical expressions?
6. How can I communicate with my classmates over the internet for help with my math?
Students will know / be able to:
1. Students will simplify radicals of second and higher order.
2. Students will combine radicals of second and higher order through addition, subtraction, multiplication, and division.
3. Students will rationalize denominators with second degree radicals.
Formative
Summative
Description
The class will work through the following flipchart from
Promethian Planet. Simplifying Radicals
Students will have daily worksheets to reinforce the skills.
Combining Monomial Radicals Dividing Monomial Radicals
Rationalizing Denominators Rationalizing Denominators Using
the Conjugate
Students will have daily warm up questions. We will use Poll
Everywhere for this.
The class will work through the following flipchart from
Promethian Planet. Simplifying Cube Roots
The class will watch two tutorial videos on multiplying radical
expressions. Video 1 Video 2
The class will create their own video tutorial on how to multiply
and simplify radical expressions.
Using the Asian style of teaching, students will be given an
expression to simplify in which they will need to rationalize the
denominator. The only prior knowledge being the review of
radicals through combining monomials and multiplying radicals
and being reminded that we cannot divide by an irrational
number. If they struggle too much, they could be given multiple
choice answers to try to use to figure out the correct
simplification.
The class will watch a tutorial video on rationalizing
denominators using a conjugate.
Students will take a unit test.
Materials, tools and resources
Intro
Activity
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Learning
Activity
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Student
Tech
Used
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Teacher
Tech
Used
X
ISTE
Standards
2a, b
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X
2a, b
X
X
X
X
X
X
3b
X
X
1b
X
2b
X
X
X
X
X
X
X
X
2a, b
Unit Plan Author (name, school and optional email address or hyperlink to teacher’s web page) Shelly Chermack,
Washington Technology Magnet Secondary School, Ms. Chermack’s Webpage
Additional credit given to: Kahn Academy, Virtual Nerd, Promethian Planet