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EXAM PRIMER 1 80 marksChapter 1. Compound Interest

To include: Year-on-year method and Use of Formula to compute Amount(or other quantities using given data)overa period of 2 to 3 years, interest compounded half-yearly, situations where two consecutive amounts/interests aregiven, comparison of SI with CI, repayments etc., growth (e.g. population), decay (depreciation)

Chapter 2. Sales tax and Value Added Tax

Computation of Tax in a chain of sales (manufacturer to wholesaler to retailer to consumer), including problemsinvolving marked price, discounts, profits, losses, inversecases.Chapter 3. Banking

(a) SAVINGS BANK ACCOUNT: Computation of interest for a series of months (using the minimum balancemethod), closing an account, finding rate of interest when actual amount of interest is given.

(b) RECURRING DEPOSIT SCHEME: Computation of interest using the formula, computation of maturity value,questions involving monthly installments, number of installments, rate of interest, M.V., Interest.

Chapter 4. Shares and Dividends.

Nominal/Face/Par value, market value, dividend, rate of dividend, premium, discount, yield (rate of return),proceeds, appropriate use of formulae: (i)Income (i.e. dividend) = number of shares x rate of dividend x N.V.(ii) yield (rate of return)%= (income/investment) x 100; (iii) market value x yield% = nominal value x dividend rate %

Chapter 5. Linear Inequations

Linear inequations in one variable, xwhere x

R, W, I, N. Solving the inequations algebraically, writing the solutionin form of a set, representing the solution on a number line, transpose of a solution set, its representation on a numberline. Union, intersection of 2 inequations expressed as sets, expressing themon a number line.Chapter 6. Quadratic Equations

Quadratic equations in one variable, solving them using (i) Factorisation; (ii) Formula. Conditions for identifying thenature of roots, viz. real, rational, irrational, distinct, equal, imaginary.

Chapter 7. Word Problems on Quadratic Equations

Framing an equation based on agiven situation, solving the equation. Practical / non-practical solutions.Chapter 10. Factor Theorem

Application of Remainder and Factor Theorems to factorise polynomials (maximum to degree 3). Hence, solving cubicequations.Finding unknown coefficients of a given polynomial using given data.Chapter 11. Matrices

Order of matrices, types of matrices including Identity (Unit) matrix, transpose matrix. Conformability for addition,subtraction and multiplication (scalar and matrix) of matrices, finding unknown matrix. Maximum 2 x 2 matrix.

Chapter 12. Reflection

Reflection of points, line segments, geometrical figures in the Cartesian axes, in the origin,in lines parallel to the axes.Invariant points, Use graph papers for reflections, Giving precise geometrical names to figures obtained etc.

Chapter 15 Symmetry

Lines of symmetry in isosceles/equilateral triangle, isosceles trapezium, rhombus, rectangle, square, diamond-shape

figures. Pentagon, hexagon, octagon all regular. Some other simple figures.Given a figure, to draw/construct its lines of symmetry. Given a part of a figure, to draw/construct the rest of thefigure based on given lines of symmetry. To construct a figure, use a pair of compasses and a ruler only.To drawa figure, a correct free-hand sketch will be accepted.

Std 10 2013-14

SN Kansagra School

Annual Plan -Maths

7/27/2019 Std 10 Maths Plan 2013-14

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Chapter 30. Probability

Definition of probability, random experiments, sample space, events, simple problems on single events (tossing a coin,throwing a dice, pulling a card from a pack of cards etc.)

EXAM PRIMER 2 -80 marksIn addition to the syllabus of Exam Primer 1, the following topics will be assessed.Chapter 8. Ratio

Comparison of ratios, Duplicate, triplicate, sub-duplicate, sub-triplicate compounded ratios, word problems on ratios.

Chapter 9. Proportion

Meaning of proportion, continued proportion, Proportionals, mean proportion. Properties of a proportion,(Invertendo, Alternendo, Componendo, Dividendo, Componendo-Dividendo) k-method

Chapter 13. Distance and Section Formula

Distance formula as applied in various situations, Similarly for Section Formula (internal sections only)/mid-pointformula/centroid formula

Chapter 14. Equation of a straight line

(i) Slope-intercept formula y = mx + c;,(ii) two-point formula (y y1)/(x x1) = (y2y1)/(x2x1),(iii) slope-point formula (y y1)=m (x2x1),

Geometric understanding of m as slope/gradient/tan where is the angle of inclination of the line with thepositive direction of x-axis. Geometric understanding of cas being the y-intercept/the ordinate of the point where theline intercepts the y-axis.

Conditions for two lines being parallel or perpendicular to each other.

Chapter 16. Similarity(Size Transformation)Similarity as a size transformation (enlargementand reduction). Application to maps and models using scales/scalefactors (lineark, areak2, volumek3).Chapter 17. Similarity (Triangles)

Three axioms for similarity in triangles, the Basic Proportionality theorem, their direct applications, and alsoapplication to areas of similar triangle.

Chapter 18. Loci

Definition of a locus, its meaning. Theorems of locus to include locus of a point moving such that: (i) it is at a constantdistance from a fixed point; (ii) it is equidistant from two fixed points ; (iii) equidistant from a given line; (iv)equidistant from two parallel lines (v) equidistant from two intersecting lines. Word problems on (a) stating a locus,(b) drawing /sketching a locus (c) constructing a locus.

Chapter 19 to chapter 21. CIRCLES

Theorems/Propertiesas shown in the text-book:(i) Chord properties, Angle Properties, Tangent Properties. Their direct applications.

Chapter 22.ConstructionsUsing a pair of compasses and a ruler only,

(i) construction of tangents from an external point to a circle;(ii) Circumscribing and inscribing a circle on/in a triangle and a regular hexagon.

Chapter 23. Mensuration 1, Circumference and Area of a CircleDirect applications of the concept to problems on circles, semi-circles, quadrants. On combination of circles with other

simple geometrical shapes like isosceles/equilateral triangle, rectangle, rhombus, square, innerand outerareas.

Chapter 24. Mensuration 2, Cone and SphereRight circular cone, spheresolid and hollow -Surface areas (for plain and curved surfaces). Their volumes. Wordproblems based on these objects. Situations where Archimedes Principle is applicable.

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Chapter 25. Trigonometrical Identities

(i) Using the 3 fundamental identities, proving other given identities.(ii) Properties of complementary angles(iii) Memorising/using values of trigo ratios of standard angles (0, 30, 45, 60, 90) (iv) Evaluating trigo expressions using above properties/values.(v) Solving simple equations involving trigo ratios.(vi) Reading/using trigo tables

Chapter 26. Heights and Distances.

Using trigonometric ratios, solving word problems in 2-D involving angles of elevation and depression. Situationswith maximum 2 right-angles triangles will be considered.

PRE-BOARD EXAM -80 marksIn addition to the syllabus of Exam Primer 2, the following topics will be assessed.

Chapter 27. Graphical representation of statistical data.

Basic concepts of data, their representation through bar graphs, histogram, pie-chart, frequency polygon, ogive.

Chapters 28 and 29. Measures of Central tendency Mean, Median and Mode.(i)

Finding mean of ungrouped and grouped data using various methods:(a) Raw data method (Formula: Mean = !

!

)

(b) Direct Method (Formula:Mean = !"!

)(c) Short-cut method (Mean = A + !"

!)

(d) Step-deviation method (Mean = A + !"!

. i)(ii) Finding the median of ungrouped data using the cumulative frequency table and for grouped data using

the ogive. Median class of grouped data, Quartiles, interquartile range, semi-interquartile range,questions based on the ogive.

(iii) Finding the mode of ungrouped data from frequency distribution table, and for grouped data using thehistogram.

Bi-moda

l, tri-modal data. M

odal class of grouped data.