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Master Polynomial Characteristics: Key Concepts Explained

Demonstrate understanding of powers with integral bases and whole number exponents

Using exponents to describe numbers

Expanded powers

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Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Using exponents to solve problems

Demonstrate understanding of operations on powers with integral bases and whole number exponents

Scientific notation

Demonstrate understanding of 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 order of operations including exponents with and without technology

Order of operations (PEMDAS)

Identify the Order of Operations

Order of Operations — Word Problem

Demonstrate understanding of perfect square and square root concretely pictorially and symbolically

Squares and square roots

Square Root of a Perfect Square

Estimating square roots

Determine square root of positive rational numbers that are perfect squares

Determine square roots of rational numbers

Square roots of rational numbers

Generalize pattern arising from problem-solving context using linear equations and verify by substitution

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

Influencing factors in data collection

Data collection

Probability

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 with rational coefficients

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 understanding of polynomials limited to degree less than or equal to 2

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Model record and explain operations of multiplication and division of polynomial expressions by monomials

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

Develop and apply Pythagorean theorem to solve problems

Angles in a circle

Chord properties

Tangent properties

Pythagorean theorem

Pythagorean Theorem

Using the pythagorean relationship

Applications of pythagorean theorem

Determine surface area of composite 3D objects to solve problems

Line symmetry

Rotational symmetry and transformations

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 understanding of similarity of triangles

Similar triangles

Similar polygons

Draw and interpret scale diagrams of 2D shapes

Enlargements and reductions with scale factors

Scale diagrams

Grade 9

Number

Patterns and Relations

Shape and Space

math

Intro

Identifying a monomial and counting its terms

Counting terms and naming a trinomial

<p>- Hi and welcome to this question right here. Determine the number of terms and the name of this expression right here. We actually have a few terms right here. We&apos;ve got a y to the power of three plus ay and there's an nx minus x squared. Well the terms are actually separated by the plus minus sign. We&apos;ve got one term right here. Let me change the color of the pen for you right here. So there's one term, two, three, and four that's separated by the plus minus signs, right? So the number of terms will be a four and the name for this, well, anything that's greater than three, actually greater than four including the four terms, we call them polynomials. So it's P-O-L-Y and polynomials, okay?<br />
And that's it because poly means many, all right? Thanks for watching.</p>


Counting terms and naming a polynomial with four terms

Identifying -7.3 as a monomial with one term

Writing a polynomial expression from algebra tiles

Writing an expression from algebra tiles with cancellation

Writing a polynomial from algebra tiles with negative terms

Finding the degree and number of terms in a multivariable polynomial

Finding the degree and number of terms of a binomial

Finding the degree and number of terms of a constant

Writing a polynomial expression for a real-world purchasing scenario

Evaluating a polynomial expression for comic books and magazines

Rewriting a polynomial expression with updated book prices

Intro to polynomial terminology: terms, degrees, and naming conventions

Understanding degree of polynomial terms and expressions

A polynomial consists of constants, variables and exponents. Polynomials are named based on the number of terms they have. Polynomials with 1 term are called monomials. Those with 2 terms are called <a href='[[glossary.html|{"keyword":"Binomial","term":"Binomial"}]]'>binomials</a>, and the ones with 3 terms are called trinomials.

Introduction to polynomials

Understanding integer division

Evaluating algebraic expressions