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The alaintv roadmap

Twenty-five stages.
One connected path.

Move in order for the strongest foundation, or revisit any lesson when you need a focused refresher.

Foundation

6 stages
  1. 01Number Sense FoundationsRead numbers by place value and reshape them into calculation-friendly parts.Open lesson →
  2. 02Adding Two-Digit NumbersAdd from left to right so the running total stays meaningful.Open lesson →
  3. 03Subtracting Two-Digit NumbersUse compensation to turn awkward subtraction into a friendly calculation.Open lesson →
  4. 04Adding Multiple Numbers QuicklyGroup compatible values and build round-number chunks.Open lesson →
  5. 05Multiplying by 10, 100, 1000Scale numbers by moving place values, including decimals.Open lesson →
  6. 06Doubling and HalvingTransform products by doubling one factor and halving the other.Open lesson →

Fluency

6 stages
  1. 07Mastering Times Tables MentallyRecall products through patterns, anchors, and derived facts.Open lesson →
  2. 08Two-Digit by Single-Digit MultiplicationDistribute a one-digit multiplier across tens and ones.Open lesson →
  3. 09Multiplying Numbers Close to 100Use each number’s distance from 100 to calculate near-base products.Open lesson →
  4. 10Squaring Numbers Ending in 5Square any whole number ending in 5 with a two-part rule.Open lesson →
  5. 11Multiplying Two Two-Digit NumbersCombine place-value partial products from left to right.Open lesson →
  6. 12Mental PercentagesBuild any common percentage from 10%, 5%, and 1%.Open lesson →

Applied

7 stages
  1. 13Tips and Discounts InstantlyEstimate and calculate real-world tips, sales, and final prices.Open lesson →
  2. 14Fractions to Percentages MentallyConvert familiar fractions using equivalent fractions and division.Open lesson →
  3. 15Division by a Single DigitDivide from the highest place value and carry remainders forward.Open lesson →
  4. 16Division by a Two-Digit NumberEstimate the quotient, multiply back, and refine.Open lesson →
  5. 17Rounding and EstimationMake quick magnitude checks before and after exact calculations.Open lesson →
  6. 18Mental Math with DecimalsUse whole-number structure while tracking decimal place value.Open lesson →
  7. 19Multiplying Three-Digit NumbersDecompose one factor into hundreds, tens, and ones.Open lesson →

Advanced

6 stages
  1. 20Estimating Square RootsBracket a number between perfect squares and refine the estimate.Open lesson →
  2. 21Vedic Math Speed TechniquesApply selected base and vertical-crosswise patterns responsibly.Open lesson →
  3. 22Mental Day-of-Week CalculationsFind weekdays using anchor dates, month offsets, and modular arithmetic.Open lesson →
  4. 23Near-Square MultiplicationMultiply equally spaced numbers around a convenient center.Open lesson →
  5. 24Multi-Step Mental CalculationsPlan and combine several techniques without losing intermediate results.Open lesson →
  6. 25Timed Speed DrillsBuild accurate speed with short, measured, progressively harder sessions.Open lesson →