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Master Squares and Square Roots: Essential Math Skills

8.EE.A.1

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Using exponents to describe numbers

Expanded powers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Product rule of exponents

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Simplify the power

8.EE.A.2

Squares and square roots

Square Root of a Perfect Square

Square and square roots

Cubic and cube roots

Cube root of a perfect cube

Converting radicals to mixed radicals

Converting radicals to entire radicals

8.EE.A.3

Scientific notation

8.EE.B.5

Parallel and perpendicular lines in linear functions

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Identifying proportional relationships

8.EE.B.6

Slope equation: \(m = \frac{y_2-y_1}{x_2- x_1}\)

Slope equation: <katex>m = \frac{y_2-y_1}{x_2- x_1}</katex>

Slope intercept form:  y = mx + b

Slope intercept form: y = mx + b

8.EE.C.7

Introduction to linear equations

Model and solve one-step linear equations: ax = b, x/a = b

One-step Linear Equations

One Step Linear Equations — Word Problem

One-step equations

One-step Equations LHS

One-step Equations RHS

Model And Solve One Step Linear Equations Divide – Word Problem

Model And Solve One Step Linear Equations Multiply – Word Problem

Solving two-step linear equations using addition and subtraction: ax + b = c

Two-step Linear Equations

Two-step Linear Equations LHS

Solve Linear Equations Using Addition and Subtraction – Word Problem

Two-step Linear Equations — Word Problem

Solving two-step linear equations using multiplication and division: x/a + b = c

Two-step Linear Equations RHS

Solving two-step linear equations using distributive property: a(x + b) = c

Solve Linear Equations Using Distributive Property – Word Problem

Solving literal equations

8.EE.C.8

Determining number of solutions to linear equations

Solving systems of linear equations by graphing

Solving systems of linear equations by elimination

Solving systems of linear equations by substitution

8.F.A.1

Relationship between two variables

Identifying functions

8.F.A.2

Function notation

8.F.B.4

Applications of linear relations

8.F.B.5

Graphing linear functions using table of values

8.G.A.1

Line symmetry

Tessellations using translations and reflections

tessellations using translations and reflections

8.G.A.2

Rotational symmetry and transformations

8.G.A.3

Enlargements and reductions with scale factors

Tessellations using rotations

8.G.A.4

Similar polygons

8.G.A.5

Similar triangles

8.G.B.6

Pythagorean theorem

Pythagorean Theorem

8.G.B.7

Using the pythagorean relationship

8.G.B.8

Distance formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance formula: <katex>d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}</katex>

Distance formula

Applications of pythagorean theorem

8.G.C.9

Volume of cylinders

Word problems relating volume of prisms and cylinders

Surface area and volume of cones

Surface area and volume of spheres

8.NS.A.1

Understanding the number systems

Rational vs. Irrational numbers

8.NS.A.2

Determine square roots of rational numbers

Square roots of rational numbers

Estimating square roots

Converting repeating decimals to fractions

8.SP.A.1

Reading linear relation graphs

Box-and-whisker plots and scatter plots

8.SP.A.2

Solving linear equations by graphing

8th Grade Math

math

Intro

<p>Hi, welcome to discussion right here. So we're trying to calculate a square root of 16. Now, with your calculator in your hand, of course if you just punch it in your calculator, you gonna get yourself something, okay. And this thing gives us, a 4, okay. What I did on my calculator, I don't know why; you should know that numbers make a perfect square numbers really well like the 16... Square root of 16 is a 4, square root of 25 is a 5, stuff like that. But let's say you forgot how to do it, okay. So, you have to use something that's called the prime factorization, I'll do that very quickly; so 16 right here if you divide it by 2, you get yourself 8, and if you divide it by 2 again you get yourself a 4, and if you divided it by 2 again of course you get... At the very end it's just a 2 left. So, what you have is a square root of 2 x 2 x 2 x 2, okay. This is equivalent to the<br />
? 16, so far. Now when you do this, remember, if you're doing the square root, I can group these guys into a pair and I can group these guys into a pair. And the reason I'm doing that is to show you the steps. So what happens if you're doing the square root, right? There's a 2 here, it means that for every number that you have inside here underneath a radical, if you have two of them together. So, anything with the squares, you can just take that number and bring it out of the radical. So you can just solve a 2 right now on the outside, just one, not both of them. Just take one of them to come out. Now there's another one right here with 2 squared, okay. It's 2 squared, there's a, there's a pair of them. So we can also take this one out of the radical as well, so if you do that you'll get yourself another 2 on the outside, okay. Now there's nothing else left over in the radical so technically it's a 1. So square root of 1 is just 1, so it disappeared, okay. So what's 2 x 2 at the end? Well you get yourself a 4 as your final answer which is the same as... If you use a calculator, is exactly the same answer, okay. Thanks for watching.</p>


This lesson focuses on finding the square of a whole number and the square root of a perfect square. In order to do this, we will first learn how to do prime factorization, a method to find the prime factors of a number. 