Academic/Career & Technical Related/Demonstration Lesson Plan
Instructor
Julie Lewis
Program/Class
Math 4
Date Blizzard Bag 2
Period
1, 3
State Indicator/Competency:

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate
them approximately on a number line diagram, and estimate the value of expressions (e.g., π 2). For
example, by truncating the decimal expansion of √2, show that √2 is between 1and 2, then between
1.4 and 1.5, and explain how to continue on to get better approximations.
Instructional Objective(s):


Students will be able to estimate square roots with 90% accuracy.
Students will be able to simplify square roots with 80% accuracy.
Materials:
Blizzard bag 2
calculator
Method of Instruction:
Independent
Activities:
COMPLETE BLIZZARD BAG ASSIGNMENT 2 DUE MAY 8
Read Vocabulary:
PROCEDURE: Discuss and define the following
Radical Symbol – √
Radicand – the number or expression under the radical symbol
Principal Root – the positive square root
Index –
𝑛
in the radical √𝑥, which represents the nth root of x, n is the index
Examples to study:
1.
Simplifying Square Roots
Simplify each square root.
a)
√50
b)
√25√2 = 5√2
c)
√117
√36√6 = 6√6
d)
√9√13 = 3√13
e)
√75
6√212
6√4√53 = 6 ∙ 2√53 = 12√53
Assessment: Blizzard Bag 2 Worksheet. 10 points
3√152
3√4√38 = 3 ∙ 2√38 = 6√38
f)
√25√3 = 5√3
g)
√216
√88
√4√22 = 2√22
h)
√32
√16√2 = 4√2