IAVM Assessment date finalized; list of topics released
The Institute for the Advancement of Vedic Mathematics approved the request of MATH-Inic Philippines to hold the IAVM assessments on the following dates:
Level I – Foundation Level: Novice on Saturday, August 19 at 4PM; Level II – Foundation Level: Proficiency on Saturday, September 2 at 4PM; Level III – Foundation Level: Distinction on Saturday, September 23 at 4PM. Students, teachers, and other Vedic Math enthusiasts may take the assessments. Under the revised rules, Level I is optional but passing the Level II exam is a requirement for qualifying to take the Level III test. An 80% rating is required to pass in all levels.Those interested in joining the assessments may register here: https://bit.ly/IAVM_Assess
They can also use the same link to register for the Level II and Level III Review.
Fee is P300 per assessment and review session.
The IAVM also released the cumulative list of topics covered by the assessments. This means that the topics for Level I is also included in Level II and the topics for both levels are included in the list for Level III.
Level I – Foundation Level: Novice
Use deficiencies to add and subtract numbers close to a multiple of 10 |
Column addition |
Recognition of number partners for 10 |
Subtract numbers from a power of 10 and from a multiple of a power of 10 |
General subtraction of numbers |
Doubling and halving for use in multiplying and dividing numbers by 2, 4, 8, 5, 25 and 50 (not including decimal results except for 2 and 5) |
Nikhilam multiplication below the base 10 and 100 |
Nikhilam multiplication above the base 10 and 100 |
Multiplying numbers by 11, 99 and 999 |
Multiplying 2-digit numbers by When the final digits add to 10 |
Calculating digital roots by continual summing and by casting out 9s |
Linking digital root with remainder on division by 9 |
Using digital roots to check answers for addition, subtraction and multiplication |
, 2- by 2-digit, 3- by 3-digit and 3- by 2-digit numbers |
Divisibility rules for 2, 5,10, 25, 50, 4, 8, 3, 9 (and 7 by means of proximity to a multiple of 7) |
Nikhilam division for divisor 9 and divisors less than 100 (simple cases in the dividend part) |
Equivalent Fractions |
Add and subtract like and unlike fractions including simple cases with mixed numbers |
Level II – Foundation Level: Proficiency
Converting fractions to decimals |
with powers of 10 as denominators (up to 1000) |
with powers of 2 as denominators (up to 16), using halving |
Mirror patterns with powers of 2 and powers of 5 as denominators |
with factors of 100 and 1000 using Proportionately |
Mirror patterns with 9 and 11 as denominators (By one more than the one before) |
Decimals |
Introduction to place value |
Addition and subtraction of decimal numbers |
Division by 2 and by 5 leading to decimals |
Vertically and crosswise multiplication with decimals (using counting to establish the decimal point) |
Nikhilam multiplication with decimals |
Vinculum I |
Concept of Vinculum numbers |
Vinculating and devinculating numbers |
Using vinculums for subtraction and combined addition and subtraction |
Vinculum II |
Nikhilam multiplication above and below the base 100, 10 and 1000 |
Multiplying numbers by 9 using vinculums |
Using vinculums for 2- by 2-digit Vertically and crosswise multiplication |
Division by 9 by converting awkward dividends |
Squaring |
2-digit numbers ending in 5 (including extensions such as 115, 350 and 0.65) |
Numbers below 100 and 1000 (Using “Lessen by the deficiency and…”) |
Numbers above 10, Base 50 (above and below) |
Geometric explanations of above items |
Division |
Nikhilam division for divisors less than 1000 |
Paravartya Division for divisors 11, 12, 101, 103 etc.. |
Straight Division with 2-digit divisors and 3-digit dividends (Simple cases with no altered remainders |
Products and Factors |
Understanding prime factor decomposition |
Using factors to simplify composite fraction calculations |
HCF and LCM using Vertically and crosswise |
Problems involving HCF or LCM |
Geometry |
Perimeter of triangles, quadrilaterals and compound shapes |
Fractions of shapes by Inspection and by Transpose and Apply |
Lines of Symmetry (Triangles, quadrilaterals, regular polygons) |
Area of rectangle, triangle, parallelogram, rhombus, trapezium |
Sequences |
Linear sequences including nth term formulae |
Types of number: odd, even, prime, square, cube, triangular |
Recognising patterns |
Application of triangular numbers to simple combinatoric problems |
Introduction to Algebra |
Concept of generality and speciality (Specific and general) |
Algebraic syntax |
Substitution to evaluate simple expressions |
Collecting like terms |
Brackets (linear) |
Linear Equations |
Equality and balance |
Solving by inspection |
Solving using bar-models |
Solving by retaining balance |
Solving by Transpose and adjust (including 2-step but not including fractions) |
Ratio and Proportion |
Simplifying ratios |
Applications to simple problems in proportion using equivalence and unitary method |
Graphical applications of proportion, such as with conversion graphs, distance/time graphs |
Ratio equations using Product of the means equals product of the extremes |
Percentage problems |
Understanding percentage as a fraction |
Percentage of a quantity, one quantity as a percentage of another |
Percentage increase and decrease leading to use of multiplying factor |
Level III – Foundation Level: Distinction
Aspects of Number |
Understanding that digital root gives the remainder when a number is divided by 9 |
Understanding that LCM =Product ÷ HCF |
Linear Sequences |
Finding the mean value of a linear sequence |
Finding and applying the nth term formula for a linear sequence |
Multiplication |
Using vinculums for 3- by 3-digit Vertically and crosswise multiplication, including decimals |
Nikhilam multiplication using a working base, including above and below, and with decimals |
Vertically and crosswise for 4 by 4 and 5 by 5 digit numbers, including decimals |
Division |
Division by 9 by converting awkward dividends using vinculums |
Nikhilam division with redividing the remainder |
Paravartya division with harder cases |
Straight division(On the flag) with with 2-digit and 3-digit divisors including altered remainders and decimals |
Fractions and Decimals |
Division of 1.0000 by 3, 9, 7 and 6 |
Three types of decimal fractions, recurrning, non-recurring and partly recurring, depending on prime factors of denominators |
Comparing fractions |
Combined multiplication and division of fractions |
Ratio and Proportion |
Problems involving ratio equations (Product of mean equals product of extremes) |
Application of proportion to percentage and reverse percentage problems |
Problems involving combined ratios |
Squares and Square Roots |
Squaring 2-digit numbers ending in 5 with decimals |
Squaring using a working base |
Finding a Duplex |
Straight squaring using duplexes, up tp 4-digit numbers, including decimals |
Finding square roots using factors or prime factors |
Difference of two squares (numerical) |
Algebra |
Understanding what are Equations, Formulae, Expressions, Identities and Inequalities |
Algebraic squaring of binomials and trinomials |
Adding and subtracting algebraic fractions |
Simplifying expressions |
Forming and solving linear equations |
Linear equations involving fractions using LCM of denominators |
Checking algebraic products using Sum/Product, Product/Sum |