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Master Combining Exponents: Rules, Tips, and Examples

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

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

math

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