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Master Enlargement and Reduction Scale Factors in Geometry

Grade 11 Math: Master Advanced Concepts & Skills

Forms of mathematical reasoning

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Set notation

Understanding How to Use Set Notation

Set builder notation

Intersection and union of 2 sets

Intersection and Union of 2 Sets

Intersection and union of 3 sets

Intersection and Union of 3 Sets

Angle relationships

Unit circle

Use sine ratio to calculate angles and sides (Sin = o / h)

Use cosine ratio to calculate angles and sides (Cos = a / h)

Use tangent ratio to calculate angles and sides (Tan = o / a)

Angle in standard position

Coterminal angles

Coterminal Angles

Reference angle

Find the exact value of trigonometric ratios

ASTC rule in trigonometry (All Students Take Calculus)

ASTC rule in trigonometry

Converting between degrees and radians

Trigonometric ratios of angles in radians

Radian measure and arc length

Classifying triangles

Isosceles and equilateral triangles

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

Graphical analysis

Characteristics of quadratic functions

Transformations of quadratic functions

Quadratic function in general form: y = ax^2 + bx + c

Graphing quadratic functions: General form VS. Vertex form

Finding the quadratic functions for given parabolas

Applications of quadratic functions

System of linear equations

System of linear-quadratic equations

System of quadratic-quadratic equations

Graphing linear inequalities in two variables

Graphing quadratic inequalities in two variables

Graphing systems of quadratic inequalities

Inverse functions

Operations with functions

Quadratic function in vertex form: y = a(x-p)^2 + q

Applications of inequalities

Optimization - inequalities

What is linear programming?

Finding Optimal Values Given Constraints In Slope-Intercept Form

Finding Optimal Values Given Constraints In Standard Form

Linear programming word problems

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

Inequalities of combined functions

Inequalities of Combined Functions

Applications of statistics

Converting from general to vertex form by completing the square

Shortcut: Vertex formula

Converting general form into vertex form by applying the vertex formula

Vertex Formula Application

Solving polynomial inequalities

Completing the square

Completing the Square

Classification of data

Characteristics of Quantitative Data

Classify the Level of Measurement

Identify the Level of Measurement

Sampling methods

Sampling Methods

Frequency distribution and histograms

Center of a data set: mean, median, mode

Spread of a data set - standard deviation & variance

Measures of relative standing - z-score, quartiles, percentiles

Stem and leaf plots

The Leaf and Stem of Numbers

Recognizing the Leaf and Stem of Numbers

Recognizing The Leaf And Stem of Numbers Leaf

Recognizing The Leaf And Stem of Numbers Stem

Reading Stem and Leaf Plots — Median

Reading Stem and Leaf Plots — Range

stem and leaf plots Range

Reading Stem and Leaf Plots

Reading Stem and Leaf Plots — Mean

Reading Stem and Leaf Plots — Mode

Frequency polygons

Census and bias

Census and Bias

Classifying Bias

Scale models

Solving 3 variable systems of equations by substitution

Solving 3 variable systems of equations by elimination

Solving 3 variable systems of equations (no solution, infinite solutions)

System of Equations With No Solution

System of Equations With Infinite Solutions

System of Equations With Infinite Solutions - Extended

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Financial literacy

Finance: Compound interest

Finance: Compound Interest

Finance: Future value and present value

Similar shapes and objects

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Optimization

Logical reasoning

Addition rule for 

Addition Rule for "OR"

Addition rule for "OR"

Multiplication rule for 

Multiplication rule for "AND"

Multiplication Rule for "AND"

Conditional probability

Probability involving permutations and combinations

Variation in statistical analysis

Bivariate, scatter plots and correlation

Regression analysis

Equation of the best fit line

Aligned with your class and textbook, our comprehensive Grade 11 math help covers all topics that you would expect in any typical grade 11 math classes, whether it&apos;s <a href="http://www.edu.gov.on.ca/eng/curriculum/secondary/grade11.html">Ontario math curriculum</a>, <a href="https://curriculum.gov.bc.ca/curriculum/10-12#m">B.C.</a>, <a href="https://education.alberta.ca/mathematics-10-12/programs-of-study/">Alberta</a>, <a href="http://www.edu.gov.mb.ca/k12/cur/math/framework_9-12/index.html">Manitoba</a>, <a href="https://www.curriculum.gov.sk.ca/webapps/moe-curriculum-BBLEARN/index.jsp?lang=en&subj=mathematics&level=precalc20">Saskatchewan</a>, <a href="http://www.ed.gov.nl.ca/edu/k12/curriculum/guides/mathematics/">Newfoundland</a>, or other provinces.

Our video lessons walk you through all topics in trigonometry like Unit circle, Factoring trinomials, Radicals, Rational expressions, Quadratic equations, Sequences and series, and so many more. Learn the concepts with our tutorials that show you step-by-step solutions to even the hardest math problems. Then, reinforce your understanding with tons of grade 11 math practice.

All our lessons are taught by experienced Grade 11 Math teachers. Let&apos;s finish your homework in no time, and ACE that final.

Foundations of Mathematics 11

math

<h2>Is grade 11 math hard?</h2>
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<h2>How do I use StudyPug to study Grade 11 Math?</h2>
Our intention for StudyPug was to create a 24/7, online companion to meet all your Grade 11 math tutoring needs. We&apos;ve carefully designed our website to be intuitive and easy to navigate but we&apos;ve also included this section for those of you that are visiting or trying us out for the first time. Keep in mind that if you are a student that is still unsure about whether StudyPug is for you, you can still sample our product/service by beginning with the free lessons that are accessible immediately without hassle.
As a general guideline, before jumping into any of our topics in grade 11 math, we recommend starting with assessing your prior knowledge. This is simply done by reviewing your familiarity with concepts we believe you should have a relatively strong command of. Almost all of our topics begin with an outline on the basic concepts you should know as well as other related, pertinent concepts.
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https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-grade11math.png

Intro

- 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? 
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? 
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.

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