Edufiniti Education System > Courses > Grade 12 Math

Grade 12 Math

Curriculum
Overview

Current Status

Not Enrolled

Price

Closed

Get Started

Take this Course

Course Content

Expand All

G12 Functions 15 Quizzes

Expand

Lesson Content

G12 A.1 Domain and range

G12 A.2 Identify functions

G12 A.3 Find the gradient of a linear function

G12 A.4 Graph a linear function

G12 A.5 Write the equation of a linear function

G12 A.6 Linear functions over unit intervals

G12 A.7 Evaluate functions

G12 A.8 Find values using function graphs

G12 A.9 Complete a table for a function graph

G12 A.10 Add, subtract, multiply and divide functions

G12 A.11 Composition of functions

G12 A.12 Identify inverse functions

G12 A.13 Find values of inverse functions from tables

G12 A.14 Find values of inverse functions from graphs

G12 A.15 Find inverse functions and relations

G12 Families of functions 6 Quizzes

Expand

Lesson Content

G12 B.1 Translations of functions

G12 B.2 Reflections of functions

G12 B.3 Dilations of functions

G12 B.4 Transformations of functions

G12 B.5 Function transformation rules

G12 B.6 Describe function transformations

G12 Quadratic functions 9 Quizzes

Expand

Lesson Content

G12 C.1 Characteristics of quadratic functions

G12 C.2 Find the maximum or minimum value of a quadratic function

G12 C.3 Graph a quadratic function

G12 C.4 Match quadratic functions and graphs

G12 C.5 Solve a quadratic equation using square roots

G12 C.6 Solve a quadratic equation by factorising

G12 C.7 Solve a quadratic equation by completing the square

G12 C.8 Solve a quadratic equation using the quadratic formula

G12 C.9 Using the discriminant

G12 Polynomials 19 Quizzes

Expand

Lesson Content

G12 D.1 Divide polynomials using long division

G12 D.2 Divide polynomials using synthetic division

G12 D.3 Evaluate polynomials using synthetic division

G12 D.4 Write a polynomial from its roots

G12 D.5 Find the roots of factorised polynomials

G12 D.6 Rational root theorem

G12 D.7 Complex conjugate theorem

G12 D.8 Conjugate root theorems

G12 D.9 Descartes’ Rule of Signs

G12 D.10 Fundamental Theorem of Algebra

G12 D.11 Match polynomials and graphs

G12 D.12 Factorise sums and differences of cubes

G12 D.13 Solve equations with sums and differences of cubes

G12 D.14 Factorise using a quadratic pattern

G12 D.15 Solve equations using a quadratic pattern

G12 D.16 Pascal’s triangle

G12 D.17 Pascal’s triangle and the Binomial Theorem

G12 D.18 Binomial Theorem I

G12 D.19 Binomial Theorem II

G12 Rational functions 3 Quizzes

Expand

Lesson Content

G12 E.1 Rational functions: asymptotes and excluded values

G12 E.2 Solve rational equations

G12 E.3 Check whether two rational functions are inverses

G12 Exponential and logarithmic functions 17 Quizzes

Expand

Lesson Content

G12 F.1 Domain and range of exponential and logarithmic functions

G12 F.2 Convert between exponential and logarithmic form

G12 F.3 Evaluate logarithms

G12 F.4 Change of base formula

G12 F.5 Product property of logarithms

G12 F.6 Quotient property of logarithms

G12 F.7 Power property of logarithms

G12 F.8 Evaluate logarithms using properties

G12 F.9 Solve exponential equations by factorising

G12 F.10 Solve exponential equations using logarithms

G12 F.11 Solve logarithmic equations with one logarithm

G12 F.12 Solve logarithmic equations with multiple logarithms

G12 F.13 Identify linear and exponential functions

G12 F.14 Exponential functions over unit intervals

G12 F.15 Describe linear and exponential growth and decay

G12 F.16 Exponential growth and decay: word problems

G12 F.17 Compound interest: word problems

G12 Roots and rational exponents 8 Quizzes

Expand

Lesson Content

G12 G.1 Roots of integers

G12 G.2 Roots of rational numbers

G12 G.3 Find roots using a calculator

G12 G.4 Evaluate rational exponents

G12 G.5 Operations with rational exponents

G12 G.6 Nth roots

G12 G.7 Simplify radical expressions with variables

G12 G.8 Simplify expressions involving rational exponents

G12 Trigonometry 17 Quizzes

Expand

Lesson Content

G12 H.1 Convert between radians and degrees

G12 H.2 Radians and arc length

G12 H.3 Quadrants

G12 H.4 Coterminal and reference angles

G12 H.5 Find trigonometric ratios using right triangles

G12 H.6 Find trigonometric ratios using the unit circle

G12 H.7 Find trigonometric ratios using reference angles

G12 H.8 Inverses of trigonometric functions

G12 H.9 Solve trigonometric equations

G12 H.10 Trigonometric ratios: find a side length

G12 H.11 Trigonometric ratios: find an angle measure

G12 H.12 Solve a right triangle

G12 H.13 Law of Sines

G12 H.14 Law of Cosines

G12 H.15 Solve a triangle

G12 H.16 Area of a triangle: sine formula

G12 H.17 Area of a triangle: Heron’s formula

G12 Trigonometric functions 9 Quizzes

Expand

Lesson Content

G12 I.1 Find properties of sine functions

G12 I.2 Write equations of sine functions from graphs

G12 I.3 Write equations of sine functions using properties

G12 I.4 Graph sine functions

G12 I.5 Find properties of cosine functions

G12 I.6 Write equations of cosine functions from graphs

G12 I.7 Write equations of cosine functions using properties

G12 I.8 Graph cosine functions

G12 I.9 Graph sine and cosine functions

G12 Trigonometric identities 4 Quizzes

Expand

Lesson Content

G12 J.1 Complementary angle identities

G12 J.2 Symmetry and periodicity of trigonometric functions

G12 J.3 Trigonometric identities I

G12 J.4 Trigonometric identities II

G12 Similarity 5 Quizzes

Expand

Lesson Content

G12 K.1 Similarity ratios

G12 K.2 Similarity statements

G12 K.3 Side lengths and angle measures in similar figures

G12 K.4 Similarity rules for triangles

G12 K.5 Similar triangles and similarity transformations

G12 Conic sections 13 Quizzes

Expand

Lesson Content

G12 L.1 Find properties of parabolas

G12 L.2 Write equations of parabolas in vertex form

G12 L3 Graph parabolas

G12 L.4 Find properties of circles

G12 L.5 Write equations of circles in standard form

G12 L.6 Graph circles

G12 L.7 Find properties of ellipses

G12 L.8 Find the eccentricity of an ellipse

G12 L.9 Write equations of ellipses in standard form

G12 L.10 Find properties of hyperbolas

G12 L.11 Find the eccentricity of a hyperbola

G12 L.12 Write equations of hyperbolas in standard form

G12 L.13 Convert equations of conic sections from general to standard form

G12 Complex numbers 6 Quizzes

Expand

Lesson Content

G12 M.1 Add and subtract complex numbers

G12 M.2 Complex conjugates

G12 M.3 Multiply and divide complex numbers

G12 M.4 Add, subtract, multiply and divide complex numbers

G12 M.5 Absolute values of complex numbers

G12 M.6 Powers of i

G12 Argand plane 8 Quizzes

Expand

Lesson Content

G12 N.1 Introduction to the Argand plane

G12 N.2 Graph complex numbers

G12 N.3 Addition in the Argand plane

G12 N.4 Subtraction in the Argand plane

G12 N.5 Graph complex conjugates

G12 N.6 Absolute value in the Argand plane

G12 N.7 Midpoints in the Argand plane

G12 N.8 Distance in the Argand plane

G12 Polar form 4 Quizzes

Expand

Lesson Content

G12 O.1 Find the modulus and argument of a complex number

G12 O.2 Convert complex numbers from rectangular to polar form

G12 O.3 Convert complex numbers from polar to rectangular form

G12 O.4 Convert complex numbers between rectangular and polar form

G12 Sequences and series 18 Quizzes

Expand

Lesson Content

G12 P.1 Find terms of a sequence

G12 P.2 Find terms of a recursive sequence

G12 P.3 Identify a sequence as explicit or recursive

G12 P.4 Find a recursive formula

G12 P.5 Find recursive and explicit formulas

G12 P.6 Convert a recursive formula to an explicit formula

G12 P.7 Convert an explicit formula to a recursive formula

G12 P.8 Convert between explicit and recursive formulas

G12 P.9 Introduction to sigma notation

G12 P.10 Identify arithmetic and geometric series

G12 P.11 Find the sum of a finite arithmetic or geometric series

G12 P.12 Introduction to partial sums

G12 P.13 Partial sums of arithmetic series

G12 P.14 Partial sums of geometric series

G12 P.15 Partial sums: mixed review

G12 P.16 Convergent and divergent geometric series

G12 P.17 Find the value of an infinite geometric series

G12 P.18 Write a repeating decimal as a fraction

G12 Probability 10 Quizzes

Expand

Lesson Content

G12 Q.1 Introduction to probability

G12 Q.2 Calculate probabilities of events

G12 Q.3 Combinations and permutations

G12 Q.4 Find probabilities using combinations and permutations

G12 Q.5 Find probabilities using two-way frequency tables

G12 Q.6 Identify independent events

G12 Q.7 Find conditional probabilities

G12 Q.8 Independence and conditional probability

G12 Q.9 Find conditional probabilities using two-way frequency tables

G12 Q.10 Find probabilities using the addition rule

G12 Probability distributions 18 Quizzes

Expand

Lesson Content

G12 R.1 Identify discrete and continuous random variables

G12 R.2 Write a discrete probability distribution

G12 R.3 Graph a discrete probability distribution

G12 R.4 Expected values of random variables

G12 R.5 Variance of random variables

G12 R.6 Standard deviation of random variables

G12 R.7 Write the probability distribution for a game of chance

G12 R.8 Expected values for a game of chance

G12 R.9 Choose the better bet

G12 R.10 Find probabilities using the binomial distribution

G12 R.11 Mean, variance and standard deviation of binomial distributions

G12 R.12 Find probabilities using the normal distribution I

G12 R.13 Find probabilities using the normal distribution II

G12 R.14 Find z-values

G12 R.15 Find values of normal variables

G12 R.16 Distributions of sample means

G12 R.17 The Central Limit Theorem

G12 R.18 Use normal distributions to approximate binomial distributions

G12 Statistics 11 Quizzes

Expand

Lesson Content

G12 S.1 Identify biased samples

G12 S.2 Variance and standard deviation

G12 S.3 Identify an outlier

G12 S.4 Identify an outlier and describe the effect of removing it

G12 S.5 Outliers in scatter plots

G12 S.6 Match correlation coefficients to scatter plots

G12 S.7 Calculate correlation coefficients

G12 S.8 Find the equation of a regression line

G12 S.9 Interpret regression lines

G12 S.10 Analyse a regression line of a data set

G12 S.11 Analyse a regression line using statistics of a data set

G12 Introduction to limits 3 Quizzes

Expand

Lesson Content

G12 T.1 Find limits using graphs

G12 T.2 Find one-sided limits using graphs

G12 T.3 Determine if a limit exists

G12 Calculate limits 8 Quizzes

Expand

Lesson Content

G12 U1 Find limits using addition, subtraction and multiplication laws

G12 U.2 Find limits using the division law

G12 U.3 Find limits using power and root laws

G12 U.4 Find limits using limit laws

G12 U.5 Find limits of polynomials and rational functions

G12 U.6 Find limits involving factorisation

G12 U.7 Find limits involving absolute value functions

G12 U.8 Find limits involving trigonometric functions

G12 Limits involving infinity 3 Quizzes

Expand

Lesson Content

G12 V.1 Find limits at vertical asymptotes using graphs

G12 V.2 Determine end behaviour using graphs

G12 V.3 Determine end behaviour of polynomial and rational functions

G12 Limits and rational functions 2 Quizzes

Expand

Lesson Content

G12 W.1 Find the limit at a vertical asymptote of a rational function

G12 W.2 Find the limit at a vertical asymptote of a rational function II

G12 Continuity 8 Quizzes

Expand

Lesson Content

G12 X.1 Identify graphs of continuous functions

G12 X.2 Determine continuity using graph

G12 X.3 Determine one-sided continuity using graphs

G12 X.4 Find and analyse points of discontinuity using graphs

G12 X.5 Determine continuity on an interval using graphs

G12 X.6 Determine the continuity of a piecewise function at a point

G12 X.7 Make a piecewise function continuous

G12 X.8 Intermediate Value Theorem

G12 Introduction to derivatives 7 Quizzes

Expand

Lesson Content

G12 Y.1 Average rate of change I

G12 Y.2 Average rate of change II

G12 Y.3 Find instantaneous rates of change

G12 Y.4 Velocity as a rate of change

G12 Y.5 Find values of derivatives using limits

G12 Y.6 Find the gradient of a tangent line using limits

G12 Y.7 Find equations of tangent lines using limits

G12 Calculate derivatives 7 Quizzes

Expand

Lesson Content

G12 Z.1 Sum and difference rules

G12 Z.2 Power rule I

G12 Z.3 Power rule II

G12 Z.4 Find derivatives of polynomials I

G12 Z.5 Find derivatives of polynomials II

G12 Z.6 Find second derivatives of polynomials

G12 Z.7 Find derivatives of rational functions

Here is a list of all of the math skills students learn in grade 12! These skills are organized into categories, and you can move your mouse over any skill name to preview the skill. To start practicing, just click on any link. Edufiniti will track your score, and the questions will automatically increase in difficulty as you improve.