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Master Enlargement and Reduction Scale Factors in Geometry

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

Intro

<p>- Hi, welcome to this question right here. So, we're trying to redraw this shape right here, using a scale factor of one-quarter. So, it's gonna get smaller. But, how much smaller? About a quarter smaller, right?<br />
So, what we're gonna do is, we're gonna figure out the, I guess, how many units you have on the original part first, right? So, if I count it on the middle line right there, that's about 8 boxes in total. And the high here is just gonna be 2 boxes here, and 2 boxes here. And from here to here, it's just going to be 1, 2, 3, 4, looks like a 5, okay?<br />
Now, we're gonna take this whole...every dimension here and we're gonna divide by 4. So, let's look at the center line first, because it's easier. 8 divided by 4, what do we have? We've got 2. So it's gonna be very small. So I come over to the center line right here. I'm gonna draw a center line and that's gonna be a new shape right there. If I divide this 8 by 4, right? So, I've got 2 right now. Now, it's gonna go from the center down to this one before. Remember, you're multiplying by a quarter, which means you're dividing by four. So, what's 2 divided by 4? It's gonna be a one-half and one-half is 0.5. So from the center line I'm gonna go down 0.5 so, about here I'm gonna stop. Go up 0.5 and I'm going to stop. Because I've got to figure out how much is, how long is here and how long is here. Well, this is 5. From the center of the figure here, this is 5 so, if I take this 5 here and divide by 4, I've got 1.25. And it's like this, a 1.25 is the total length. From here to here is 1.25 so, it's a little bit approximate. It doesn't have to be very exact. So, here's my 1.25. Here's my little 1.25 right there. Let me redraw it a little bit. So, 1.25. So at the end we're just gonna put everything together. And there you go. That is your new drawing. If you times it by a one-quarter? Kind of look small but, there's nothing else we can do. Divide everything by 4, that's what you get. Thanks for watching.</p>


When you are asked to make an object bigger or smaller, you will ask, "by how much?" In this case, scale factor can help answer the question. In this lesson, we will practice how to enlarge and reduce objects according to the scale factors given to us.

What is a scale factor?

Ratios

Rates

Proportions