icon



Resources for Grade eleven

Variable expressions

How to evaluate variable expressions involving integers or rational numbers

How to simplify variable expressions

Equations

How to solve linear equations

How to solve absolute value equations

How to graph absolute value equations

How to solve multi-variable equations

Inequalities

How to graph a linear inequality in the coordinate plane

How to write inequalities from graphs

How to solve absolute value inequalities and graph their solutions

How to solve quadratic inequalities and graph their solutions

How to solve linear inequalities and graph their solutions

Functions

How to determine the domain and range of a function

How to determine the slope of a linear function

How to write the equation of a linear function

How to graph a linear function

How to add, subtract, multiply and divide functions

How to identify inverse functions

How to compose linear functions

How to translate, reflect and dilate a function

What are the function transformation rules

Systems of equations

How to solve a system of equations by graphing

How to classify a system of equations

How to solve a system of equations using elimination

How to solve a system of equations using substitution

How to solve a system of equations in three variables using substitution

How to solve a system of equations in three variables using elimination

How to solve a non-linear system of equations

System of inequalities

How to solve systems of linear and absolute value inequalities by graphing

Linear programming

Matrices

How to add and subtract matrices

How to perform linear combinations of matrices

How to multiply two matrices

How to solve matrix equations

How to identify inverse matrices

How to identify transformation matrices

How to solve a system of equations using augmented matrices

How to calculate the determinant of a matrix

Complex numbers

How to add and subtract complex numbers

How to multiply and divide complex numbers

How to determine absolute values of complex numbers

How to compute the powers of i

How to factor sums and differences of cubes

How to factors polynomials

Factoring

How to factor monomials

How to factor quadratics

Quadratic functions

What are the characteristics of quadratic functions

How to graph a quadratic function

How to solve a quadratic equation using the quadratic formula

How to solve a quadratic equation using the discriminant

How to solve a quadratic equation by using the zero product property

How to solve a quadratic equation by factoring

How to solve a quadratic equation using square roots

Polynomials

How to add, subtract, multiply and divide polynomials

How to solve polynomial equations

How to determine the roots of factored polynomials

How to use the rational rate theorem

How to use the complex conjugate theorem

How to use the conjugate roots theorem

How to understand the fundamental theorem of algebra

How to understand the binomial theorem

How to use the Pascals triangle

Radical functions and expressions

How to determine the roots of integers and rational numbers

How to simplify radical expressions with variables

How to add subtract, multiply and divide radical expressions

How to determine the domain and the range of a radical function

How to solve radical equations

Rational exponents

How to multiply and divide with rational exponents

How to simplify expressions involving rational exponents

Rational functions and expressions

How to evaluate rational expressions

How to determine asymptotes and excluded values

How to simplify rational expressions

How to add, subtract, multiply and divide rational expressions

How to solve rational equations

Variation

How to write and solve direct variation equations

How to write and solve inverse variation equations

How to classify variation

How to solve variation equations

Exponential and logarithms

How to convert between exponential and logarithmic form

How to evaluate logarithms

Product property of logarithms

Quotient property of logarithms

Power property of logarithms

How to determine the domain and the range of logarithmic and exponential functions

How to solve exponential equations

How to solve logarithmic equations

Parabolas

How to determine the vertex of a parabola

How to write equations of parabolas i vertex form from graphs

How to covert equations of parabolas from general to vertex form

How to graph parabolas

Statistics

How to identify biased samples

How to calculate variance and standard deviation

How to identify an outlier

How to design experiments

Probability

How to calculate probabilities of events

How to find probabilities using combinations and permutations

How to find the probability of independent and dependent events

How to find conditional probabilities

How to identify discrete and random variables

How to find probabilities using the binomial distribution

How to find probabilities using the normal distribution

How to write and graph a discrete probability distribution

Sequences and series

How to classify formulas and sequences

How to find terms of an arithmetic sequence

How to find terms of a geometric sequence

How to write a formula for a geometric sequence

How to write formulas for an arithmetic sequence

How to identify arithmetic and geometric series

How to find the sum of a finite arithmetic or geometric series

How to identify convergent and divergent geometric series

How to write a repeating decimal as a fraction

How to find the value of an infinite geometric series

Trigonometry

How to determine trigonometric ratios for cos, sin, tan, cot, sec, cosec

How to find trigonometric ratios using the unit circle

How to solve trigonometric equations

How to understand the laws of Sine and Cosine

How to write equations of sine functions from graphs

How to write equations of cosine functions from graphs

How to graph sine and cosine functions

How to identify symmetry and periodicity of trigonometric functions

Circles

How to write equations of circles in standard form from graphs

How to graph circles

Convert equations of circles from general to standard form

Ellipses

How to find the center, the vertices or the co-vertices of an ellipse

How to find the length of the major or minor axes of an ellipse

How to convert equation of ellipses from general to standard form

How to find properties of ellipses from equations in general form

Hyperbolas

How to find the center and the vertices of a hyperbola

How to find the equations for the asymptotes of a hyperbola

How to find the foci of a hyperbola

How to convert equations of parabolas from general to standard form

How to find the properties of parabolas from equations in general form

Angle measures

How to convert between radians and degrees

How to use radians to calculate arc lengths