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Master Solving Quadratic Equations by Factoring | Step-by-Step

Grade 11 Math: Master Advanced Concepts & Skills

11FC.A1.1

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Characteristics of quadratic functions

Graphing quadratic functions: General form VS. Vertex form

Applications of quadratic functions

11FC.A1.2

Finding the quadratic functions for given parabolas

11FC.A1.3

Transformations of quadratic functions

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

11FC.A1.5

Multiplying binomial by binomial

Multiplying polynomial by polynomial

11FC.A1.6

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

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

Completing the square

Completing the Square

11FC.A1.7

Factor by taking out the greatest common factor

Factor by taking out GCF

Factor by grouping

Factoring difference of squares: \(x^2 - y^2\)

Factoring difference of squares: <katex>x^2 - y^2</katex>

Factoring difference of squares: x^2 - y^2

Factoring trinomials

Factoring Trinomials

11FC.A1.8

Solving quadratic equations by factoring

11FC.A1.9

Solving quadratic equations by completing the square

Using quadratic formula to solve quadratic equations

Solving a quadratic equation with TWO REAL SOLUTIONS

Solving a quadratic equation with TWO COMPLEX SOLUTIONS

Applications of quadratic equations

11FC.A2.1

Exponents: Negative exponents

Exponents: Zero exponent: a^0 = 1

Negative exponent rule

Combining the exponent rules

11FC.A2.2

Exponents: Rational exponents

11FC.A2.3

Product rule of exponents

Exponents: Product rule (a^x)(a^y) = a^(x+y)

Exponents: Division rule: a^x / a^y = a^(x-y)

Exponents: Power rule: (a^x)^y = a^(xy)

Exponents: Power rule

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Simplify the power

11FC.A2.4

Graphing exponential functions

11FC.A2.5

Graphing transformations of exponential functions

Finding an exponential function given its graph

11FC.A3.1

Exponential growth and decay by a factor

Exponential decay: Half-life

Exponential growth and decay by percentage

11FC.A3.2

Finance: Compound interest

Finance: Compound Interest

Continuous growth and decay

11FC.A3.3

Logarithmic scale: Richter scale (earthquake)

Logarithmic scale: pH scale

Logarithmic scale: dB scale

11FC.A3.4

Solving exponential equations using exponent rules

11FC.B1.3

Finance: Future value and present value

11FC.B1.4

Simple interest

Simple Interest — Word Problem

Basic Concepts of Simple Interest – Word Problem

Borrowing Money for More Than One Year  – Word Problem

Investigate the Advantages of Borrowing Money  – Word Problem

11FC.C1.1

Line symmetry

Rotational symmetry and transformations

Surface area of 3-dimensional shapes

11FC.C1.3

Conversions between metric and imperial systems

Metric to Imperial Conversions

Imperial to Metric Conversions

Conversions Between Metric and Imperial Systems Speed KM to MI

Conversions Between Metric and Imperial Systems Speed  MI to M

Metric-Imperial Length Conversion Inch To Cm

Metric-Imperial Length Conversion MM/CM/M/KM To FT

Metric-Imperial Length Conversion MM/CM/M/KM To MI

Metric systems

Add and Subtract Mixed Units

Metric Length Conversion

Add or Subtract Different Metric Units Convert to CM

Add or Subtract Different Metric Units Convert to M

Add or Subtract Different Metric Units Convert to MM

Imperial systems

Imperial Length Conversion

11FC.C2.1

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

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

Combination of SohCahToa questions

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

11FC.C2.2

Law of sines

Ambiguous case: SSA triangles

Law of cosines

11FC.C2.3

Applications of the sine law and cosine law

11FC.C2.4

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

11FC.D1.1

Influencing factors in data collection

Data collection

11FC.D1.2

Classification of data

Characteristics of Quantitative Data

Classify the Level of Measurement

Identify the Level of Measurement

Sampling methods

Sampling Methods

11FC.D1.3

Census and bias

Census and Bias

Classifying Bias

11FC.D1.5

Frequency distribution and histograms

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

11FC.D1.6

Shapes of distributions

11FC.D1.7

Center of a data set: mean, median, mode

Spread of a data set - standard deviation & variance

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

11FC.D2.2

Addition rule for 

Addition Rule for "OR"

Addition rule for "OR"

Multiplication rule for 

Multiplication rule for "AND"

Multiplication Rule for "AND"

11FC.D2.3

Conditional probability

11FC.D2.4

Probability involving permutations and combinations

11FC.D2.5

Probability distribution - histogram, mean, variance & standard deviation

<p>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.</p>

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Grade 11 Foundations for College Mathematics, College Preparation (MBF3C) 

math

<h2>Is grade 11 math hard?</h2>
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<p>Understanding grade 11 math will take time and that can be difficult if you only see your tutor once a week or feel like you need a refresher on topics previously covered in class. Here at StudyPug our Grade 11 math tutors and all of our content are readily at your disposal whenever you need them. With 24/7 help and 1000&apos;s of lessons at your fingertips, we are here to help you exercise your understanding of grade 11 math topics and prepare for your upcoming Grade 11 math test and/or Grade 11 math exam preparation. Still feeling like you need more support and background information on some of the topics covered in grade 11 math? Some of the topics you are learning in Grade 11 math (e.g. Quadratic relations, completing the square) we started introducing in <a href='[[region_textbook.html|{"textbook_key":"grade10"}]]'>Grade 10 math</a>. <a href='[[region_textbook.html|{"textbook_key":"grade10"}]]'>Grade 10 math</a> is a prerequisite course for Grade 11 math and we strongly recommend a strong command of the knowledge and skills learned in Grade 10 to help you succeed in Grade 11 math. Head over to our <a href='[[region_textbook.html|{"textbook_key":"grade10"}]]'>Grade 10 math page</a> to begin your revision now!</p>

<h2>How do I use StudyPug to study Grade 11 Math?</h2>
<p>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.</p>
<p>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.</p>
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<p>Once you have identified the topic you require more work on, our short but informative video lessons wills walk you through examples (from easy to complex problems) to flesh out the concepts you need to learn as well as study tips and strategies. Watch and re-watch these lessons as many times as you need! We also provide a paraphrased transcript on the gist of what was addressed in the video if you prefer to learn and revise this way instead.</p>
<p>Last but certainly not the least of these steps, we encourage you to put your knowledge and skills to the test! We&apos;ve prepared plenty of questions per topic for you to master and perfect! See how well you have learnt and acquire more practice from a wide variety and range (i.e. easy to hard) of questions.</p>
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