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Master Surface Area of Prisms: Formulas & Calculations

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 this question right here. So we're going to find a surface area. Now the surface area of the rectangular prism, keep in mind if you are trying to find a surface area of any rectangular size, it's just the length times the width, okay? Here it goes. There's six different sides. We need to calculate all of them. So this is going to take a bit of work. Let's just do one at a time. Since it's a rectangular prism usually there'd be two sides that are the same size. For example, the top piece right here. The top piece and the bottom piece will be identical, okay? So what we do is let's figure out the area of the top piece first. Let me write down the word<br />
"top" right here. I've got 12 as the length times the width, which is a 6. And I know immediately I'm going to have to times it by a 2 and the reason for that is because we&apos;ve got a top and a bottom. Just going to write down a B-O-T and to represent the bottom. Basically all you have is a six times two. It's going to be 12. Twelve times 12. It's going to give you a 144. At least so far we've got a top and the bottom covered. The area is going to be 144 centimeters squared. Is there anything else we need to calculate? Yes we do. We've got the front and the back. So let's do another one that says the front and the back. Of course, if you are doing this on your own you don't have to write all this stuff down. I'm just trying to show you what I'm calculating for. We&apos;ve got the 18 times 6 over here. We've got the length, 18 times times the 6, and we're going to multiply by 2. Once again because there's a front and a back, identical pieces. We&apos;ve got 18 times by 6 times by 2. We have 216 centimeters squared. The very last one, it's going to be the front and, oh, I already did the front and back, sorry. It's the left side and the right side. So I'm just going to call it the left and the right. The left and the right. This bigger piece right has a length of 18 and has the width of 12, okay? And of course we know there are two pieces so we&apos;ve got to times by 2. So at the end we&apos;ve got 18 times 12 times 2. We have 432 centimeters squared. So at the very end of this, all we have to do is just add up the total, okay? Because we're looking for the total surface area of the entire rectangular prism. So we're going to go from the beginning 144 plus 216 plus 432. We end up with 792 and don't forget your units. And that will be your final answer. Thanks for watching.</p>


In this section, we will learn how to calculate the surface area of rectangular and triangular prisms. The calculation is easier than what it may seem if you know the surface area formulas for regular polygons.

How to find the surface area of prisms