GRADE 11 MATHS US/OTHER COUNTRY SYLLABI (AP CALCULUS/AB/ BC) Courses /GRADE 11 MATHS US/OTHER COUNTRY SYLLABI... GRADE 11 MATHS US/OTHER COUNTRY SYLLABI (AP CALCULUS/AB/ BC) MATHS TOPPERS ACADEMY COURSE NAME INTERNATIONAL BOARD EXAM COACHING STANDARD GRADE 11 SUBJECTS MATHS MEDIUM ENGLISH MODE ONLINE FEE CONTACT : 7200205222 AVAILABLE TIMINGS CONTACT : 7200205222 DAYS MONDAY/WEDNESDAY/FRIDAY TUESDAY/THURSDAY/FRIDAY TEST PROCEDURES 15 MICRO TESTS 15 UNIT TESTS 5 FULL PORTION TESTS 2 PRE BOARD EXAMS TEST SHEDULE CONTACT : 7200205222 COURSE DURATION TILL EXAM ONLINE MATERIALS TOPIC WISE/EXERCISE WISE SOLUTIONS, PRACTICE PROBLEMS, PAST PAPERS, SAMPLE PAPERS ALL THE BEST GRADE 11 INTERNATIONAL SYLLABI PORTIONS & SHEDULE Class XI MATHS (international Syllabi) Portions & Schedule Consumer Maths Simple interest Compound interest Continuously compounded interest Percent of a number: VAT, discount and more Find the percent: discount and mark-up Multi-step problems with percents Single-variable inequalities Graph inequalities Write inequalities from graphs Identify solutions to inequalities Solve one-step linear inequalities: addition and subtraction Solve one-step linear inequalities: multiplication and division Solve one-step linear inequalities Graph solutions to one-step linear inequalities Solve two-step linear inequalities Graph solutions to two-step linear inequalities Solve advanced linear inequalities Graph solutions to advanced linear inequalities Graph compound inequalities Write compound inequalities from graphs Solve compound inequalities Graph solutions to compound inequalities Graph solutions to quadratic inequalities Solve quadratic inequalities Relations and functions Relations: convert between tables, graphs, mappings and lists of points Domain and range of relations Identify independent and dependent variables Identify functions Identify functions: vertical line test Evaluate a function Evaluate a function: plug in an expression Complete a function table from a graph Complete a function table from an equation Interpret the graph of a function: word problems Linear Functions Find the slope of a graph Find the slope from two points Find a missing coordinate using slope Slope-intercept form: find the slope and y-intercept Slope-intercept form: graph an equation Slope-intercept form: write an equation from a graph Slope-intercept form: write an equation Slope-intercept form: write an equation from a table Slope-intercept form: write an equation from a word problem Write linear equations to solve word problems Compare linear equations, graphs and tables Write equations in standard form Standard form: find x- and y-intercepts Standard form: graph an equation Equations of horizontal and vertical lines Graph a horizontal or vertical line Slopes of parallel and perpendicular lines Write an equation for a parallel or perpendicular line Transformations of linear functions Linear inequalities Does (x, y) satisfy the inequality? Linear inequalities: solve for y Graph a linear inequality in the coordinate plane Linear inequalities: word problems Is (x, y) a solution to the system of inequalities? Solve systems of linear inequalities by graphing Solve systems of linear and absolute value inequalities by graphing Complex numbers Introduction to complex numbers Add and subtract complex numbers Complex conjugates Multiply complex numbers Add, subtract, multiply and divide complex numbers Absolute values of complex numbers Divide complex numbers Powers of i Argand plane Introduction to the Argand plane Graph complex numbers Addition in the Argand plane Subtraction in the Argand plane Graph complex conjugates Absolute value in the Argand plane Midpoints in the Argand plane Distance in the Argand plane Factorising Factorise out a monomial Factorise quadratic polynomials Factorise quadratics using algebra tiles Factorise using a quadratic pattern Factorise by grouping Factorise sums and differences of cubes Factorise polynomials Factorising HCF of monomials Factorise out a monomial Factorise quadratics with leading coefficient 1 Factorise quadratics with other leading coefficients Factorise quadratics: special cases Multiply and divide monomials Factorise quadratics using algebra tiles Factorise by grouping Factorise polynomials Quadratic Functions Characteristics of quadratic equations Complete a function table: quadratic functions Find a quadratic function Graph a quadratic function Match quadratic functions and graphs Solve a quadratic equation using square roots Solve a quadratic equation using the zero product property Solve a quadratic equation using the quadratic formula Solve a quadratic equation by factorising Complete the square Solve a quadratic equation using the quadratic formula Using the discriminant Polynomials Polynomial vocabulary Add and subtract polynomials Solve a quadratic equation using square roots Multiply polynomials Divide polynomials using long division Divide polynomials using synthetic division Evaluate polynomials using synthetic division Solve polynomial equations Write a polynomial from its roots Find the roots of factorised polynomials Rational root theorem Complex conjugate theorem Conjugate root theorems Match polynomials and graphs Fundamental Theorem of Algebra Pascal's triangle Pascal's triangle and the Binomial Theorem Binomial Theorem I Binomial Theorem II Parabolas Identify the direction a parabola opens Find the vertex of a parabola Find the focus or directrix of a parabola Find the axis of symmetry of a parabola Write equations of parabolas in vertex form from graphs Write equations of parabolas in vertex form using properties Convert equations of parabolas from general to vertex form Find properties of a parabola from equations in general form Graph parabolas Circles Find the center of a circle Find the radius or diameter of a circle Write equations of circles in standard form from graphs Write equations of circles in standard form using properties Convert equations of circles from general to standard form Find properties of circles from equations in general form Graph circles Ellipses Find the center, vertices, or co-vertices of an ellipse Find the length of the major or minor axes of an ellipse Find the foci of an ellipse Write equations of ellipses in standard form from graphs Write equations of ellipses in standard form using properties Convert equations of ellipses from general to standard form Find properties of ellipses from equations in general form Hyperbolas Find the center of a hyperbola Find the vertices of a hyperbola Find the length of the transverse or conjugate axes of a hyperbola Find the equations for the asymptotes of a hyperbola Find the foci of a hyperbola Write equations of hyperbolas in standard form from graphs Write equations of hyperbolas in standard form using properties Convert equations of hyperbolas from general to standard form Find properties of hyperbolas from equations in general form Rational functions: asymptotes and excluded values Evaluate rational expressions I Rational functions and expressions Evaluate rational expressions II Simplify rational expressions Multiply and divide rational expressions Add and subtract rational expressions Solve rational equations Function operations Add and subtract functions Multiply functions Divide functions Composition of linear functions: find a value Composition of linear functions: find an equation Composition of linear and quadratic functions: find a value Composition of linear and quadratic functions: find an equation Convert between radians and degrees Angle measures Radians and arc length Quadrants Co terminal angles Reference angles Pythagoras' Theorem and its converse Trigonometry Special right triangles Trigonometric ratios: sin, cos and tan Trigonometric ratios: csc, sec and cot Trigonometric ratios in similar right triangles Find trigonometric ratios using the unit circle Sin, cos and tan of special angles Csc, sec and cot of special angles Inverses of sin, cos and tan Inverses of csc, sec and cot Solve trigonometric equations I Solve trigonometric equations II Trigonometric ratios: find a side length Trigonometric ratios: find an angle measure Solve a right triangle Law of Sines Law of Cosines Solve a triangle Area of a triangle: sine formula Area of a triangle: Law of Sines Trigonometric Find properties of sine functions functions Write equations of sine functions from graphs Write equations of sine functions using properties Graph sine functions Find properties of cosine functions Write equations of cosine functions from graphs Write equations of cosine functions using properties Graph cosine functions Graph sine and cosine functions Complementary angle identities Trigonometric identities Symmetry and periodicity of trigonometric functions Trigonometric identities I Trigonometric identities II Word problems: mixed review Problem solving Word problems with money Consecutive integer problems Rate of travel: word problems Weighted averages: word problems Logic Identify hypotheses and conclusions Counterexamples Truth tables Truth values Conditionals Negations Converses, inverses and contrapositives Bi conditionals Sequences and series Classify formulas and sequences Find terms of an arithmetic sequence Find terms of a geometric sequence Find terms of a recursive sequence Evaluate formulas for sequences Write a formula for an arithmetic sequence Write a formula for a geometric sequence Write a formula for a recursive sequence Sequences: mixed review Introduction to sigma notation Identify arithmetic and geometric series Find the sum of a finite arithmetic or geometric series Introduction to partial sums Partial sums of arithmetic series Partial sums of geometric series Partial sums: mixed review Convergent and divergent geometric series Find the value of an infinite geometric series Write a repeating decimal as a fraction Introduction to limits Find limits using graphs Find one-sided limits using graphs Determine if a limit exists Calculate limits Find limits using addition, subtraction and multiplication laws Find limits using the division law Find limits using power and root laws Find limits using limit laws Find limits of polynomials and rational functions Find limits involving factorisation and rationalisation Limits involving infinity Find limits at vertical asymptotes using graphs Determine end behavior using graphs Determine end behavior of polynomial and rational functions Limits and rational functions Find the limit at a vertical asymptote of a rational function I Find the limit at a vertical asymptote of a rational function II Continuity Identify graphs of continuous functions Determine continuity using graphs Determine one-sided continuity using graphs Find and analyse points of discontinuity using graphs Determine continuity on an interval using graphs Determine the continuity of a piecewise function at a point Make a piecewise function continuous Intermediate Value Theorem Introduction to derivatives Average rate of change I Average rate of change II Find instantaneous rates of change Velocity as a rate of change Find values of derivatives using limits Find the slope of a tangent line using limits Find equations of tangent lines using limits Calculate derivatives Sum and difference rules Product rule Quotient rule Power rule I Power rule II Find derivatives of polynomials Find derivatives of trigonometric functions I Find derivatives of trigonometric functions II Find derivatives of radical functions Find derivatives using the product rule Find derivatives using the quotient rule I Find derivatives using the quotient rule II Find derivatives using the chain rule I Find derivatives using the chain rule II Probability Introduction to probability Theoretical and experimental probability Compound events: find the number of outcomes Calculate probabilities of events Permutations Counting principle Permutation and combination notation Find probabilities using two-way frequency tables Identify independent events Probability of independent and dependent events Geometric probability Find probabilities using permutations and combinations Find conditional probabilities Independence and conditional probability Find conditional probabilities using two-way frequency tables Find probabilities using the addition rule Find probabilities using the normal distribution Statistics Quartiles Identify biased samples Mean absolute deviation Variance and standard deviation