# Green Math Online Course (One Time Payment Rs 5,000)

5,000.00

You will be added to our closed Facebook course group where you’ll watch video lessons, then do practice exercises that we’ll provide you as PDF files.

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## Description

Green Math Online Course (Urdu) For Students To Save Them From Math Fear (400 Lessons)

Green Math Benefits and Features

Following are some of the many benefits and features of Green Math System which contrast significantly with conventional mathematics:

Coherence:

Perhaps the most striking feature of the Green Math is its coherence. Instead of a hotchpotch of unrelated techniques the whole system is beautifully interrelated and unified: the general multiplication method, for example, is easily reversed to allow one-line divisions and the simple squaring method can be reversed to give one-line square roots. And these are all easily understood. This unifying quality is very satisfying; it makes mathematics easy and enjoyable and encourages innovation.

Flexibility:

In conventional teaching you usually have one way of doing a calculation. This is rigid and boring, and intelligent and creative students rebel against it. Once you allow variations, as in Green Math, you get all sorts of benefits. Children become more creative. The teacher encourages innovation and the children respond. In Green Math System there are general methods that always work, for example a method of multiplication that can be applied to any numbers. But the Green Math System has also many special methods, when a calculation has some special characteristic that can be used to find the answer more easily. And it’s great fun when you spot that method.

Having only one method of, say, multiplying is like a carpenter who uses a screwdriver for every job. The skilled craftsman selects the tool most appropriate for the job and gets it done quicker, better and with more satisfaction.

So there are special methods that apply in special cases and also general methods. You don’t have to use these special methods but they are there if you want to.

Calculations can often be carried out from right to left or from left to right.

You can represent numbers in more than one way; you can work 2 or more figures at a time if you wish.

This flexibility adds to the fun and gives students the freedom to choose their own approach. This in turn leads to the development of creativity and intuition. The Green Math System does not insist on a purely analytic approach as many conventional teaching methods do. This makes a big difference to the attitude which children have towards mathematics.

Mental, improves memory:

The ease and simplicity of Green Math means that calculations can be carried out mentally (though the methods can also be written down). There are many advantages in using a flexible, mental system.

Students can invent their own methods; they are not limited to the one ‘correct’ method. This leads to more creative, interested and intelligent students. It also leads to improved memory and greater mental agility.

Promotes creativity:

All these features of Green Math encourage students to be creative in doing their math. Being naturally creative students like to devise their own methods of solution. The Green Math seeks to cultivate intuition, having a conscious proof or explanation of a method beforehand is not essential in the Green methodology. This appeals to the artistic types who prefer not to use analytical ways of thinking.

Appeals to everyone:

The Green Math System appears to be effective over all ability ranges: the able child loves the choice and freedom to experiment and the less able may prefer to stick to the general methods but loves the simple patterns they can use. Artistic types love the opportunity to invent and have their own unique input, while the analytic types enjoy the challenge and scope of multiple methods.

Increases mental agility:

Because the Green Math System uses these ultra-easy methods mental calculation is preferred and leads naturally to develop mental agility. And this in turn leads to growth in other subjects.

Efficient and fast:

In the Green Math System ‘difficult’ problems or huge sums can often be solved immediately. These striking and beautiful methods are just a part of a complete system of mathematics which is far more systematic than the conventional ‘system’. Green Math manifests the coherent and unified structure naturally inherent in mathematics and the methods are direct, easy and complementary.

Easy, fun:

The experience of the joy of mathematics is an immediate and natural consequence of practicing Green Math. And this is the true nature of math – not the rigid and boring ‘system’ that is currently widespread.

Methods apply in algebra:

Another important feature of the Green Math is that once an arithmetic method has been mastered the same method can be applied to algebraic cases of that type – the beautiful coherence between arithmetic and algebra is clearly manifest in the Green Math System.

Applies to all areas of Mathematics:

Green Math is not a bunch of tricks. It applies to all the areas and branches of mathematics including arithmetic, algebra, geometry, trigonometry, calculus, etc., etc. In fact, there is no part of mathematics, pure or applied, which is beyond its jurisdiction.

Following are some examples of the types (but not limited to) of questions that can be solved within a few seconds using Green Math methods:

1,000 – 864 =

87 x 97 =

2/3 + 1/4 =

752 =

992 ÷ 31 =

Simultaneous Equations

2x + 3y = 21

5x + 2y = 25

5 ÷ 19 =

Find equation of a line passing through the points (7, 4) and (5, 1)

## Table of Contents

 1 Numbers 21 Checking additions 41 All from 9 – part 4 61 Angles 81 Number splitting – multiplication 2 Multiples of ten 22 Halving and quarters 42 Figuring change 62 Degrees 82 Number splitting – division 3 Subtraction 23 Writing fractions 43 Fraction unity 63 Finding angles 83 Tables up to 20 x 20 4 Two figure numbers 24 Looking for tens 44 Adding fractions 64 Divisibility 84 Base multiplication 5 Adding two figure numbers 25 Cross multiplication 1 45 Subtracting fractions 65 Divisibility by 3, 9 85 Lightning multiplication 6 Geometry 26 Multiplying numbers over 10 46 Dividing halves & quarters 66 Divisibility puzzles 86 Numbers over 100 7 Adding near a base 27 Multiplication table patterns 47 Extending multiplication tables 67 Multiplication by 11 87 Using proportion 8 Subtracting near a base 28 Look ahead subtraction 48 Calculating area 68 Multiplying longer numbers by 11 88 Square numbers 9 Doubling 29 The number 9 49 Multiplying by 10, 20, 300… 69 Using symbols 89 Triangular numbers 10 Halving 30 Checking subtractuions 50 Division 70 Algebra 90 Cube numbers 11 Adding several numbers 31 Doubling 51 Two easy numbers 71 Millions 91 Circles and points 12 Odd and even numbers 32 Quadrupling 52 Division by 9 72 Coordinates 92 Reflection symmetry 13 Multiples 33 Doubling fractions 53 Further division by 9 73 Triangles 93 Rotation symmetry 14 Common multiples 34 Halving three figures 54 Looking ahead 74 Geometrical notation 94 Polygons 15 Completing the whole 35 Short multiplication 55 Number splitting: addition 75 Quadrilaterals 95 Area of a triangle 16 Digit sums 36 Larger numbers 56 Number splitting – subtraction 76 Diagonals of quadrilaterals 96 Abundant, deficient & perfect numbers 17 9 point circle 37 Writing figures 57 Factors 77 Divisibility by 4, 6 and 15 97 Divisibility puzzles 18 Totals of Nine 38 All from 9 – part 1 58 Factor pairs 78 Subtraction 98 Checking divisions standard method 19 Digit sums puzzles 39 All from 9 – part 2 59 Prime numbers 79 Decimal addition 99 Checking divisions with digit sums 20 Advanced digit sum puzzles 40 All from 9 – part 3 60 Highest common factor 80 Decimal subtraction 100 Approximate answers
 101 Simple check 121 Splitting a number into a ratio 141 Algebraic addition and subtraction 161 Converting fractions to decimals 1 181 Three-step equations 102 Perimeters 122 Extended ratios 142 Brackets 162 Converting fractions to decimals 2 182 Forming equations 1 103 Bar numbers 123 Decimal multiplication and division 143 Factorizing 163 Percentages 183 Forming equations 2 104 Creating bar numbers 124 Multiplying & dividing by multiples of ten 1 144 Substitution 164 Creating percentages 184 Bar numbers revisited 105 Calculating angles 125 Multiplying & dividing by multiples of ten 2 145 More substitution 165 Percentages and decimals 185 Combining bar numbers 106 Angles in triangles 126 Metric units 146 Multiple substitutions 166 Finding a percentage of a number 1 186 Bar numbers in algebra 1 107 Isosceles triangles 127 Units of area 147 Base multiplication – below the base 167 Finding a percentage of a number 2 187 Multiplying & dividing bar numbers 108 Bar numbers revisited 128 Area of composite shapes 148 Base multiplication – above the base 168 Forming percentages 188 Bar numbers in algebra 2 109 Subtracting with bar numbers 129 Area of a parallelogram 149 Proportionately 169 Sequences 189 Multiplying numbers near a base 110 Mental addition 130 Squaring numbers ending in 5 150 Squaring numbers near a base 170 Coordinates 190 Substituting in line equation 111 Mental multiplication 131 Special multiplication 1 151 Multiplying numbers near different bases 171 Equations of lines 191 Equation and bar numbers 112 Products of several numbers 132 Special multiplication 2 152 Doubling and halving 172 The line y = x 192 Enlargement 113 Composite numbers 133 More composite areas 153 Multiplying by 5, 50, 25 173 Gradients 193 Reflection 114 More composite numbers 134 Volume 154 Dividing by 5, 50, 25 174 Equation of a straight line 194 Rotation 115 Multiplying 2-figure numbers – basics 135 Capacity 155 Top-heavy fractions 175 Comparing fractions and decimals 195 Translation 116 Multiplying 2-figure numbers – carry figures 136 Rounding 156 Finding a fraction of a number 176 Recurring decimals 196 Vertically and crosswise 117 Multiplying 2-figure numbers – mentally 137 Significant figures 157 Equivalent fractions 177 Block recurrers 197 Multiplying 3-figure numbers 118 Ratios basics 138 Decimal places 158 Canceling fractions 178 One-step equations 198 Working in pairs 119 Simplifying ratios 139 Pascal’s triangle and fibonacci 159 One number of another 179 Two-step equations 199 The moving multiplier 120 Ratio equations 140 Algebra 160 Converting decimals to fractions 180 Balancing equations 200 Writing multiplications
 201 Adding fractions 221 Parallel lines 241 Decimal revision 261 Cube roots 281 Solids and their nets 202 Subtracting fractions 222 Bearings 242 Decimal multiplication 262 Converting temperatures 282 Euler’s formula 203 Adding and subtracting fractions 1 223 Reverse bearings 243 Decimal Division 263 Straight division 283 Networks 204 Adding and subtracting fractions 2 224 Multiplying 3-figure numbers 244 Converting fractions to decimals 264 Reducing the answer digit by one 284 Percentage changes 205 Adding and subtracting fractions 3 225 Multiplying 4-figure numbers 245 Fractions to decimals with denominators ending in 9 265 Dividing longer numbers 285 Percentage profit and loss 206 Probability 226 Right to left multiplication 246 Fractions to decimals with other denominators 266 Decimalizing the remainder 286 Simple interest 207 Two types of probability 227 Converting times 247 Fractions to decimals using the half way number 267 Negative flag digit 287 Compound interest 208 Algebraic multiplication 228 Adding times 248 Squaring numbers near 50 268 Equations – some variations 288 Pi 209 Algebraic division 229 The 24 hour clock 249 Finding the mean 269 Equations involving fractions 289 Perimeter of a sector 210 Multiplying brackets 230 Subtracting times 250 Mode and median 270 Equations with x-terms on both sides 290 Left to right 211 Multiplying two binomials 231 Repeating numbers 251 Using the average 271 Forming equations 291 Multiplication from left to right 212 Factorizing 232 Special numbers 252 Formulae 272 Solving quadratic equations 292 Approximate answers 213 Squaring 233 Multiplying fractions 253 Rearranging formulae 273 Polygons – a formula 293 Area of a circle 214 Number splitting 234 Dividing fractions 254 Endings of powers 274 Angles in polygons 294 Area of a sector 215 Algebraic squaring 235 Order of operations 255 Endings and digit sums of square numbers 275 Regular polygons 295 Differences of areas 216 Divisibility by 8 236 Brackets 256 Square roots 276 Angles in regular polygons 296 Isosceles triangles and circles 217 Divisibility by higher numbers 237 Cancelling 257 Square roots of perfect squares 277 Tessellations 297 Tangent and radius 218 By addition and by subtraction 238 The duplex 258 Cube numbers 278 Similar figures 298 Inequalities 219 Divisibility by 11 239 Mental squaring 259 Cubing – part 1 279 Sides of similar figures 299 Straight-line graph 220 Determinants 240 Squaring from right to left 260 Cubing – part 2 280 Similar figures and ratios 300 Sketching straight-line grapsh
 301 Equation of a parabola 321 Land measurement 341 Osculation 361 Quadratic equations: part 1 381 Generating triples 302 Other quadratic curves 322 Surface area of a cuboid 342 Divisibility testing 362 Differentiation 382 Getting the code number of a triple 303 Zeros or roots of quadratics 323 Denominators ending in 8, 7, 6 343 Testing longer numbers 363 The discriminant 383 Division by a 3-figure number 1 304 Square root of a product 324 Denominators ending in 1, 2, 3 344 Angles on the same arc 364 Quadratic equations: part 2 384 Division by a 3-figure number 2 305 Heron’s formula 325 Getting the answers 2 or more figures at a time 345 Angle at the center of a circle 365 Zeros of a quadratic 385 Sides and angles of right triangles 306 The incircle 326 Cubing numbers near a base 346 Further divisibility testing 366 Pythagoras theorem 386 Trigonometry: finding a side 1 307 The circumcircle 327 Area of a trapezium 347 Addition and subtraction 367 Pythagoras algebraically 387 Trigonometry: finding an angle 308 Loci 328 Volume of a prism 348 Approximate square roots 368 Finding a shorter side 388 Trigonometry: finding a side 2 309 Arithmetic mean, arithmetic sequence 329 Volume of a pyramid 349 Squaring 369 Successive probabilities 389 Applications of trigonometry 310 Harmonic mean, harmonic sequence 330 Vectors 350 Square root of perfect square 1 370 Changing probabilities 390 Distance between two points 311 Geometric mean 331 Describing vectors 351 Square root of perfect square 2 371 Pythagoras and isosceles triangles 391 Gradient of a line 312 Speed 332 Multiplying vectors 352 Angle in a semicircle 372 Pythagoras applications 392 Equation of a line 313 Average speed 333 Adding vectors 353 The cyclic quadrilateral 373 Pythagoras in reverse 393 Intersection of two lines 314 Finding distance and time 334 Simultaneous equations 354 General square roots – part 1 374 Triples 394 Gradients of curves 315 Travel graphs 335 Adding and subtracting equations 355 General square roots – part 2 375 Types of number 395 Business formulae 316 Change of speed 336 Multiplying equations 356 Three standard identities 376 Surds 396 Minimizing 317 Conversion graphs 337 Simultaneous equations by substitution 357 Factorizing quadratics – all coefficients +ve 377 Representing numbers algebraically 397 Maximizing 318 Quick conversions 338 A special type of simultaneous equations 358 Factorizing quadratics – middle coefficient -ve 378 Solving number puzzles 398 Bonus 319 Sales tax / VAT 339 Further equations 359 Factorizing quadratics – last coefficient -ve 379 Proving properties of numbers 399 Bonus 320 Multiplying mixed units 340 Divisibility & one more than the one before 360 Circular motion 380 Groups of triples 400 Bonus

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