(^)
Copyright © Swun Math Grade 8 Unit 2 Lesson 9 C TE
Square Roots
Conceptual Lesson
Grade 8 · Unit 2 · Lesson 9
MC: 8 .EE. 2
Problem of the Day
Objective: I will solve equations using square roots.
Vocabulary Teacher Resources
Square Numbers (Perfect Square): the number
after multiplying an integer by itself
Square Root: the square root of a number is a
value that, when multiplied by itself, gives the
number
Note: There is an understanding that a 2 sits outside the
radical to show it undoes a square √^2. √ and x^2 are
inverse operations.
Rational Solution: solutions to equations that are
integers or fractions
푦푦^2 = 9 → �푦푦^22 =√^29 = 3
Irrational Solution: solutions to equations that
cannot be written as a simple fraction
푦푦^2 = 11 → �푦푦^22 =√^211 →푦푦= ±√ 11
Considerations:
Consider using a multiplication chart to support
students who need help identifying perfect squares.
Practice squaring numbers as a warm-up as needed.
Compare the concept of squaring and square rooting
as opposites that cancel each other out such as
addition/subtraction and multiplication/division. Be
sure to point out why the answer can be positive or
negative.
A calculator can be used to find an approximate value.
Steps:
- Isolate the variable.
- Take the square root of both sides of the
equation. - Identify the perfect square when possible.
- Identify the 2 possible values for the
unknown. - Identify if the solution is rational or
irrational.
Application of MPs:
MP5: What will be useful for solving these types of
problems?
It would be useful to ______________________.
MP6: What symbols or mathematical notations are
important in these types of problems?
The important notation/symbols in these
types of problems is ______________________.
MPs
Applied MP
* Embedded MP
1 2 3 4 5 6 7 8
* ^ ^ *
Student Journal Pages
90 - 93