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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:

1. Isolate the variable.


2. Take the square root of both sides of the
   equation.


3. Identify the perfect square when possible.


4. Identify the 2 possible values for the
   unknown.


5. 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

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