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Solve problems with rational numbers in decimal

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 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

- Hi. Welcome to this question right here. So we&apos;ve got a question here that says 
"Estimate and Calculate." The estimating part is actually pretty, you don't have to think too much. Basically that's negative, this is negative, right? So when they're both negative and you're trying to add them together, you know what? Just treat them as positive and at the very end, just put a negative sign right beside the answer. So we&apos;ve got a 2.4 and 6.5. You can say the answer is around 8.9ish something, but let's actually go ahead and calculate this without using a calculator. Let's have 2.43 to start off and let's just have the 6.53 right here. Let's put a plus sign in front of that because we are adding. You might be saying that it's negative, here and here. What's that supposed to mean? A negative 2.43 plus a negative 6.53. Think of the negative as 
"you owe me money." If you owe me two dollars and 43 cents, then you owe me another six dollars and 53 cents, how much do you own me at the very end? You just add up the money together, right? So let's go ahead and add the money together right here. It's three and three so we get a six here, four and five get a nine right there, and you get a six and two is eight. At the very end, you just put a negative sign, okay? 
So, when you have a negative, negative, when you're adding integers together or numbers together, if you get a negative minus a negative, just add them together and put a negative sign in front of that. Another way to think about it: you owe me two dollars and 42 cents and then you owe me another six dollars and 53 cents. It's like a subtraction in a way, like you've lost that money, so you put them together and this is your final answer for this project. Thanks for watching.

- Hi, welcome to this question right here. So we&apos;ve got 2.5 x -6.4. So if we do write it out in a regular way we would've written it like this, right? Okay, now that's my multiplication right here, let's actually just bring it over to the side a little bit more. So 2.5 x 6.4 so what's our final answer? Well, before we calculate the final answer, I want you to know that your final answer will have to be a negative, okay? Why? Because the first number is positive the second number is negative, right? If you're doing multiplication or division, okay? If one's positive one's negative, doesn't matter which one is which, the answer is definitely a negative, okay? Then, let's see to what happen to the rest. So 2.5 x 6.4 will work out to be at 16. So your final answer is just -16. Okay? Thanks for watching.

In this lesson, we will learn how to work with rational numbers in decimal form. We will look at questions on adding, subtracting, multiplying, and dividing rational numbers.

Adding and subtracting decimals

Multiplying decimals

Dividing decimals 