GRADE 10 MATHS US/OTHER COUNTRY SYLLABI (PRE CALCULUS) Courses /GRADE 10 MATHS US/OTHER COUNTRY SYLLABI... GRADE 10 MATHS US/OTHER COUNTRY SYLLABI (PRE CALCULUS) MATHS TOPPERS ACADEMY COURSE NAME INTERNATIONAL BOARD EXAM COACHING STANDARD GRADE 10 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 10th INTERNATIONAL, PRE CALCULUS PORTIONS AND SHEDULE Class X Maths Pre-Calculus Portions And Class Schedule Number lines Numbers Convert between decimals and fractions Identify rational and irrational numbers Compare and order rational numbers Prime factorisation Square roots Cube roots Operations Add, subtract, multiply and divide integers Evaluate numerical expressions involving integers Evaluate variable expressions involving integers Add and subtract rational numbers Multiply and divide rational numbers Evaluate numerical expressions involving rational numbers Evaluate variable expressions involving rational numbers Consumer Maths Simple interest Compound interest Percent of a number: VAT, discount and more Find the percent: discount and mark-up Multi-step problems with percent Linear equations Identify linear equations 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 Find the distance between a point and a line Find the distance between two parallel lines Pairs of linear equations Is (x, y) a solution to the pair of equations? Solve a pair of equations by graphing Solve a pair of equations by graphing: word problems Find the number of solutions to a pair of equations by graphing Find the number of solutions to a pair of equations Solve a pair of equations using substitution Solve a pair of equations using substitution: word problems Solve a pair of equations using elimination Solve a pair of equations using elimination: word problems Matrices Matrix vocabulary Matrix operation rules Add and subtract matrices Multiply a matrix by a scalar Multiply two matrices Arithmetic sequences Arithmetic sequences Evaluate variable expressions for arithmetic sequences Write variable expressions for arithmetic sequences Multiply a matrix by a scalar Partial sums of arithmetic series Polynomials Polynomial vocabulary Model polynomials with algebra tiles Add and subtract polynomials using algebra tiles Add and subtract polynomials Add polynomials to find perimeter Multiply and divide monomials Powers of monomials Multiply a polynomial by a monomial Multiply two polynomials using algebra tiles Multiply two binomials Multiply two binomials: special cases Multiply 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 equations Characteristics of quadratic equations Complete a table: quadratic equations Solve a quadratic equation using square roots Solve a quadratic equation using the zero product property Solve a quadratic equation by factorising Complete the square Solve a quadratic equation by completing the square Solve a quadratic equation using the quadratic formula Using the discriminant Graph a quadratic equation Match quadratic functions and graphs Rational expressions Simplify complex fractions Simplify rational expressions Solve a quadratic equation using square roots Multiply and divide rational expressions Divide polynomials Complete the square Add and subtract rational expressions Solve rational equations Points, lines and segments Lines, line segments and half lines Lengths of segments on number lines Additive property of length Midpoints Congruent line segments Perpendicular Bisector Theorem Midpoint formula Distance formula Two-dimensional figures Polygon vocabulary Perimeter Area of triangles and quadrilaterals Area and perimeter in the coordinate plane I Area and perimeter in the coordinate plane II Area and circumference of circles Area of compound figures Area between two shapes Area and perimeter of similar figures Transformations Translations: find the coordinates Reflections: find the coordinates Rotations: find the coordinates Congruence transformations Compositions of congruence transformations: graph the image Transformations that carry a polygon onto itself Dilations: graph the image Dilations: find the coordinates Dilations: scale factor and classification Dilations and parallel lines Triangles Classify triangles Triangle Angle-Sum Theorem Mid segments of triangles Triangles and bisectors Identify medians, altitudes, angle bisectors and perpendicular bisectors Angle-side relationships in triangles Dilations: graph the image Triangle Inequality Theorem Similarity Identify similar figures Similarity ratios Similarity statements Side lengths and angle measures in similar figures Similar triangles and indirect measurement Perimeters of similar figures Similarity rules for triangles Similar triangles and similarity transformations Right triangles Pythagoras' Theorem Converse of Pythagoras' theorem Pythagoras' Inequality Theorems Special right triangles Circles Parts of a circle Central angles Arc measure and arc length Area of sectors Circle measurements: mixed review Arcs and chords Tangent lines Perimeter of polygons with an inscribed circle Inscribed angles Angles in inscribed right triangles Angles in inscribed quadrilaterals Trigonometry Trigonometric ratios: sin, cos and tan Trigonometric ratios: csc, sec and cot Trigonometric functions of complementary angles Find trigonometric functions of special angles Find trigonometric functions using a calculator Inverses of trigonometric functions Trigonometric ratios: find a side length Trigonometric ratios: find an angle measure Solve a right triangle Introduction to surface area and volume Surface area and volume Surface area of prisms and cylinders Surface area of cones Volume of prisms and cylinders Volume of cones Surface area and volume of spheres Surface area and volume of similar solids Surface area and volume review Measurement Convert rates and measurements Precision Greatest possible error Minimum and maximum area and volume Percent error Percent error: area and volume Consecutive integer problems Problem solving Rate of travel: word problems Weighted averages: word problems Exponential growth and decay: word problems Logic Identify hypotheses and conclusions Counterexamples Truth tables Truth values Conditionals Negations Converses, inverses and contrapositives Bi conditionals Theoretical probability Probability Experimental probability Compound events: find the number of outcomes Identify independent and dependent events Probability of independent and dependent events Geometric probability Counting principle Statistics Mean, median, mode and range Quartiles Identify biased samples Data and graphs Interpret histograms Create histograms Interpret stem-and-leaf plots Constructions Construct a tangent line to a circle Construct an equilateral triangle inscribed in a circle Construct a regular hexagon inscribed in a circle Construct the circum center or incenter of a triangle Construct the inscribed or circumscribed circle of a triangle