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Master Squares and Square Roots: Essential Math Skills

Demonstrate understanding of powers with integral bases and whole number exponents

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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

Using exponents to solve problems

Demonstrate understanding of rational numbers by comparing and ordering rational numbers

Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

Solving problems with rational numbers in decimal form

Mixed Operations with Decimals

Mixed Operations

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Solving problems with rational numbers in fraction form

Operations with fractions

Explain and apply the order of operations including exponents with and without technology

Order of operations (PEMDAS)

Identify the Order of Operations

Order of Operations — Word Problem

Determine the square root of positive rational numbers that are perfect squares

Determine square roots of rational numbers

Square roots of rational numbers

Squares and square roots

Square Root of a Perfect Square

Determine the approximate square root of positive rational numbers that are non-perfect squares

Estimating square roots

Generalize a pattern arising from a problem-solving context using linear equations

Representing patterns in linear relations

Represent Patterns in Linear Relations Equation Decimal

Represent Patterns in Linear Relations Equation Integer Start From 0

Represent Patterns in Linear Relations Equation Integer Start From 1

Represent Patterns in Linear Relations Equation Negative Decimal

Identify the Linear Equation

Reading linear relation graphs

Solving linear equations by graphing

Graph linear relations analyze the graph and interpolate or extrapolate to solve problems

Understanding graphs of linear relationships

Linear relations

Understanding tables of values of linear relationships

Linear relation

Applications of linear relationships

Model and solve problems using linear equations of various forms

Solving linear equations using multiplication and division

Two-step Linear Equations LHS

Two-step Linear Equations RHS

Solving two-step linear equations: ax + b = c, x/a + b = c

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

Solving linear equations with variables on both sides

Solving literal equations

Explain and illustrate strategies to solve single variable linear inequalities

Compound inequalities

Analyze the Alternate Form of Compound Inequalities: AND

Compound linear inequalities

Evaluate Compound Inequalities: And

Express linear inequalities graphically and algebraically

Graph the Inequality

Linear Inequalities – Word Problem 

Linear inequalities

Solving one-step linear inequalities

One-step Linear Inequalities

One-step linear inequalities

One-step Linear Inequalities Decimal

One-step Linear Inequalities Decimal with Fraction

One-step Linear Inequalities Fraction

Solve One Step Linear Inequalities Find Solution– Word Problem

One-step Linear Inequalities — Word Problem

Solving multi-step linear inequalities

Multi-step Linear Inequalities

Two-step Linear Inequalities

Multi-step linear inequalities

Two-step linear inequalities

Solve Multi-step Linear Inequalities – Word Problem 

Solve Multi Step Linear Inequalities Solve Equation – Word Problem

Solve Multi Step Linear Inequalities Equation – Word Problem

Demonstrate an understanding of polynomials

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Model record and explain the operations of multiplication and division of polynomial expressions

Multiplying and dividing monomials

Divide a monomial by a monomial

Multiply a monomial by a monomial

Multiplying polynomials by monomials

Multiply a polynomial by a monomial

Dividing polynomials by monomials

Model and solve problems using 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

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

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

Solve Linear Equations Using Distributive Property – Word Problem

Describe the effect of various factors on the collection of data

Influencing factors in data collection

Data collection

Select and defend the choice of using either a population or a sample of a population

Sampling methods

Sampling Methods

Census and bias

Census and Bias

Classifying Bias

Develop and implement a project plan for the collection display and analysis of data

Classification of data

Characteristics of Quantitative Data

Classify the Level of Measurement

Identify the Level of Measurement

Bivariate, scatter plots and correlation

Demonstrate an understanding of the role of probability in society

Probability

Solve problems and justify the solution strategy using circle properties

Angles in a circle

Chord properties

Tangent properties

Determine the surface area of composite 3-D objects to solve problems

Surface area of 3-dimensional shapes

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface Area of Prisms Rectangle

Calculate the Surface Area

Surface area of cylinders

Demonstrate an understanding of similarity of polygons

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Demonstrate an understanding of line and rotation symmetry

Line symmetry

Rotational symmetry and transformations

Grade 9

Develop number sense

Use patterns to describe the world and solve problems

Represent algebraic expressions in multiple ways

Collect display and analyze data to solve problems

Use direct or indirect measurement to solve problems

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. 