WHOLE YEAR PLAN

Transcription

1 WHOLE YEAR PLA Professor: Ioan Sapariuc Grade: XI Subject: Mathematics Week Date Content Resources Events Theme First semester Review. Introduction of the material and of the Exam Background Algebra. Manipulate expressions. Linear equations. Changing the subject in a formula. Quadratic equations: Completing the square. The quadratic formula. Factoring for a 1and for a 1. Solving quadratic equations using factoring. Graphing quadractics. Exercises. Quiz. 1 - School Opening Ceremony Meeting with Parents 30 Avenor Cross Codes and Senses

2 Simultaneous equations (each of them is linear or quadratic): the method of elimination, substitution and graphical. Linear and quadratic inequalities and their graphs. Test Coordinate geometry: plotting points in 2D and 3D Cartesian system of coordinates. Formula for the gradient of a line. Parallel and perpendicular lines. The distance between two points. The midpoint of a line Find the equation of a line given a point and its gradient, or two points. Draw a line given its equation. The intersection of two lines: graphical and algebraic. The circle. Exercises. 5 Education day 9 - Elections Students'Council Codes and Senses n 1 Drawing curves: y x, y and polynomials n x Turning points and the behavior of y for large values of x. The intersection of a line and a curve (the geometric and the algebraic approaches) MID-TERM BREAK Meeting with parents 27 - Halloween Parade Sequences and series: definition, notation and examples. Arithmetic sequences: definition, formulae for a and S. Test Geometric sequences: definition, formulae for u, S and. S Binomial expansions. General formula and its applications. Exercises. Quiz. 6-9 Meeting with parents Book Days Real Stories/ Imaginary Stories Functions. Definition and applications. The vertical line test. Composition of functions: 2 Operations: f g, f g, f g, f and f g. 23,24 Open Days

3 The inverse of a function (conditions, how to find f, examples and relations to the graph of f ( ). Differentiation: finding the gradient to a curve: the intuitive approach and the general formula. otations for the gradient of a function Formulas for the derivatives of n n x, k, k f (, f ( g(, x, f ( g(. Examples. Tangents and normals Increasing and decreasing functions. Minimum and maximum points. The second derivative and points of inflection. Applications of minimum and maximum. Exercises and practice. Test WITER HOLIDAY Real 27,28 Open Days 29 Celebrate Stories/ Imaginary Stories Romania s ational Day 6-8 Winter Winter 20 - Teachers for children The chain rule. Anti-differentiation. Formulas for n x dx, f ( g( dx, f ( g( dx, r kf( dx and x dx The area under a curve using the anti-derivative. The area as the limit of a sum. The area below the x-axis The area between two curves. The area between a curve and the x-axis. Substitution for integration. How it s Made

4 24.01 Holiday Improper integrals of type 1 and 2.. Volumes of solids of revolution. Quiz on integration and its applications. Second semester DL Assessments Assessment to parents Trigonometry: angles of elevation and of depression. Trigonometric functions in a right triangle. o o o o Trigonometric functions of 0, 30, 45 and Positive and negative angles. Trigonometric functions of any angle. Some trigonometric identities. Test The sine and cosine graph. The graph of tangent. Solving trigonometric equations using their graphs. Radians. Converting between degrees and radians MID-TERM BREAK 5 Scholarships Start 12- Talent Show 22- Scholarships End 23 - Science Fair How it s Made Formulae for the length of a circle and for the sector of a circle. Transformations of graphs for the trigonometric functions Vectors in 2D: definition and representation. Vectors in 3D: definition and representation. Test Vector calculations: multiplying a vector by a scalar, adding 5 Reregistration process 8- Women s Day 17- Inter-school swimming challenge Work in progress We live in Romania

5 and subtracting vectors, unit vectors and application to geometrical figures. The angle between two vectors. The scalar product. Review Test 3 Practice for the AS Level Exam SPRIG HOLIDAY Practice for the AS Level Exam. and ATIOAL HOLIDAY Practice for the AS Level Exam Discussion of the AS Level Exam and practice. and and 24 Sport Olympics 6 - Career Day 7 Avenor Awards 9 11 Checkpoint Exams 12 Ballet Recital Checkpoint Exams ational Examinations Healthy Habits

6 21 - Friends of the Piano 22 - Staff Meeting 25 Cultural Celebration Day Children s Day DL Assessment 7- Graduation Ceremony Grades Assessment to Parents Summer Summer 22 - School Closing Ceremony Learning expedition Learning Expeditions SUMMER HOLIDAY Healthy Habits