Mental Maths Mastery for Kids
Number sense, not tricks. The speed follows, and it never expires.
Syllabus updated August 2026
Flexible course duration
Duration depends on the student's background and pace. Beginners (kids / teens): typically 6 to 9 months. Adults with prior knowledge: often shorter, with an accelerated path.
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Program Overview
A 12-month live program that builds genuine mental arithmetic in children aged 5-10, the honest alternative to abacus franchises and 'Vedic tricks' courses. Trick-based speed impresses at demos and quietly expires: it bypasses understanding, so it cannot transfer to fractions, algebra or problem solving. We build number sense instead, numbers as decomposable quantities, number bonds, compensation and estimation, through games and puzzles a child genuinely enjoys. The result is a child who calculates fast because they see numbers clearly, and that clarity keeps paying through every year of school mathematics.
What Makes This Program Different
- Number sense over tricks: strategies a child can explain always beat procedures they can only perform
- The speed is real and durable, decomposition, bonds and compensation transfer straight into fractions and algebra later
- Games, puzzles and number talks: children wait for these classes, which is the engagement no drill sheet buys
- Concrete-pictorial-abstract progression, the method behind the world's strongest maths systems
- Explain-back in every class: what a child can teach, a child owns
- One dedicated mentor who knows exactly which facts and strategies each child holds
- A genuine on-ramp: graduates flow into our grade-level maths programs already ahead
- One full interactive hour per class, twice a week, built for young attention spans with variety, not lectures
Your Learning Journey
Career Progression
Detailed Course Curriculum
Explore the complete week-by-week breakdown of what you'll learn in this comprehensive program.
Playful diagnostic: which facts, strategies and confidence the child already holds, disguised as games
Topics Covered
- Counting games that show how far a child counts with ease
- Quick quantity flashes to see which small numbers are known on sight
- Simple addition play that reveals the current strategy (counting on, known facts, or guessing)
- Noticing confidence and comfort with numbers, not only right answers
- Spotting facts already automatic, such as small doubles or bonds
- Setting a friendly starting point tuned to the child, not the age
Practice & Assignments
Over a snack, ask your child to grab a small handful of raisins and guess how many before counting, then count together to check, keeping it light and playful.
Subitizing and quantity sense: dots, dice and ten-frames, recognising amounts without counting
Topics Covered
- Recognising 1 to 5 dots instantly without counting (subitizing)
- Reading dice patterns as whole amounts
- Meeting the ten-frame as a picture of numbers
- Seeing 6 to 10 as a small group sitting on top of five
- Flashing and hiding quantities to build quick recognition
- Talking about how the amount was seen, not just the answer
Practice & Assignments
Roll one die a few times each evening and race to say the number before counting the dots, and whoever spots it first wins that round.
Part-whole thinking: every number is made of other numbers (7 is 5-and-2, 6-and-1, 3-and-4)
Topics Covered
- Breaking a small number into two parts in different ways
- Seeing 7 as 5 and 2, 6 and 1, or 4 and 3
- Using fingers or counters to split a group across two hands
- Understanding that the parts always rebuild the whole
- Finding every way to make a chosen number
- Explaining a split out loud in the child's own words
Practice & Assignments
Give your child 6 buttons and ask how many ways they can split them into two piles, writing each way down together like a treasure list.
The number line as home: position, order, distance and the empty-number-line game
Topics Covered
- Placing numbers in order along a line
- Deciding which number is bigger from its position
- Measuring the distance or jump between two numbers
- Hopping forwards and backwards along the line
- Meeting the empty number line as a thinking tool
- Estimating where a number belongs before checking
Practice & Assignments
Draw a long line on paper with 0 at one end and 10 at the other, then take turns pointing to where numbers like 7 or 3 should sit.
Bonds of 10 to automaticity, through games, never flashcard grind
Topics Covered
- Finding both parts that add to make 10
- Recognising 6 and 4, 7 and 3, 8 and 2 as ten-friends
- Using ten-frames to see the missing part
- Answering ten-bonds quickly through repeated play
- Spotting a ten-bond hidden inside a larger problem
- Building speed through fun, never flashcard pressure
Practice & Assignments
Play make ten: you say a number under ten and your child shouts the partner that finishes the ten, then swap roles after five turns.
Doubles and near-doubles as anchor facts; adding 9 and 11 by compensation preview
Topics Covered
- Learning the doubles up to 10 plus 10 as anchor facts
- Using a known double to solve a near-double (6 plus 7 is double 6 and one more)
- Adding 9 by adding 10 and stepping back one
- Adding 11 by adding 10 and stepping up one
- Seeing how one known fact unlocks several nearby ones
- Choosing the closest double to lean on
Practice & Assignments
At bedtime, call out a double like double 4 for a quick answer, then a near-double like 4 plus 5, and let your child explain how the double helped.
Bridging through 10: the make-ten strategy that turns 8+5 into 10+3
Topics Covered
- Splitting the second number to fill up to ten first
- Turning 8 plus 5 into 10 plus 3
- Using ten-frames to see the bridge across ten
- Knowing how much a number needs to reach ten
- Adding the leftover part after reaching ten
- Choosing make-ten when numbers sit close to ten
Practice & Assignments
With two ten-frames and some counters, set up sums like 8 plus 5 and let your child slide counters to fill the first ten, then read the answer.
Bonds to 20 and fact families: addition and subtraction as one idea seen from two sides
Topics Covered
- Finding pairs that add to make 20
- Linking a ten-bond to its twenty partner
- Seeing a fact family: 13 plus 7, 7 plus 13, 20 minus 7, 20 minus 13
- Understanding addition and subtraction as two views of one picture
- Using a known adding fact to find its subtracting partner
- Building all four facts from one number trio
Practice & Assignments
Pick three numbers that fit together, like 6, 4 and 10, and challenge your child to say all four facts they can make from them.
Subtraction two ways: taking away versus finding the gap, and when each is faster
Topics Covered
- Taking away by counting back from the larger number
- Finding the gap by counting up between the numbers
- Deciding which way is faster for a given problem
- Seeing subtraction as the distance between two numbers
- Using the number line to picture both methods
- Explaining which route was chosen and why
Practice & Assignments
Ask a shopping question like you have 10 and a toy costs 8, how much change, and let your child try both counting back and counting up to compare.
Counting up for change: the shopkeeper's method every adult secretly uses
Topics Covered
- Counting up from the price to the money paid
- Using friendly stops like the next ten
- Adding the small jumps to find the change
- Seeing why counting up avoids hard take-away sums
- Playing shop with real or pretend coins
- Checking the change makes sense
Practice & Assignments
Set up a tiny pretend shop with priced items and let your child be the shopkeeper, counting up from the price to give you the right change.
Mixed strategy play: number talks where children compare routes to the same answer
Topics Covered
- Solving one problem in more than one way
- Sharing a strategy out loud in a number talk
- Listening to a different route to the same total
- Comparing which method felt quickest
- Respecting that different minds pick different paths
- Naming the strategy used (make-ten, doubles, or counting up)
Practice & Assignments
Give one sum like 7 plus 8 and ask your child for two different ways to solve it, then you share a third way you thought of.
Stage mastery check through games: solve it, explain it, teach it back
Topics Covered
- Revisiting bonds of 10 and 20 through games
- Choosing a strategy for each problem confidently
- Explaining the thinking behind an answer
- Teaching a strategy back to the mentor or a parent
- Celebrating the facts now known by heart
- Noticing which few facts still want more play
Practice & Assignments
Let your child be the teacher for ten minutes and show you one number strategy they learned this phase, explaining each step.
Assessment
A relaxed review game covering number bonds, part-whole thinking and the early strategies, where the child solves a problem, explains it, and teaches a favourite method back, with no timing or pressure.
Adding two-digit numbers mentally: jumps of ten, then the leftover ones
Topics Covered
- Adding the tens first in one jump
- Then adding the leftover ones
- Using an empty number line to record the jumps
- Holding the running total in mind
- Solving sums like 34 plus 23 step by step
- Checking the answer feels about right
Practice & Assignments
Call out a two-digit sum like 42 plus 30 during a car ride and ask your child to jump the tens out loud, then add any ones.
Compensation as a superpower: 39 + 26 becomes 40 + 25; subtracting 19 by taking 20 and giving one back
Topics Covered
- Rounding a number up to a friendly ten
- Adjusting the other number to keep the total fair
- Turning 39 plus 26 into 40 plus 25
- Subtracting 19 by taking 20 and giving one back
- Understanding why the give-and-take keeps it equal
- Choosing compensation when a number sits near a ten
Practice & Assignments
Give a near-ten sum like 29 plus 14 and let your child bump the 29 up to 30, solve it, then give the one back at the end.
Multiplication as groups and arrays, seen and built before recited
Topics Covered
- Making equal groups with objects
- Building rows and columns as an array
- Reading 3 rows of 4 as three fours
- Connecting repeated addition to multiplication
- Seeing that an array can be counted two ways
- Using the words times and groups of
Practice & Assignments
Arrange snacks or blocks into equal rows, like 3 rows of 5, and ask your child to find the total by seeing the groups rather than counting one by one.
The clever tables route: 2s, 10s and 5s first, then doubling to 4s and 8s; 9s by compensation
Topics Covered
- Learning the easy 2s, 5s and 10s first
- Doubling the 2s to reach the 4s
- Doubling the 4s to reach the 8s
- Finding 9s by using 10s and stepping back a group
- Seeing how known tables build the harder ones
- Using skip counting as a rhythm for each table
Practice & Assignments
Practise one table a day by skip counting it like a chant on the walk to the door, starting with the easy 2s, 5s or 10s.
3s, 6s and the tricky squares; the handful of hard facts isolated and conquered
Topics Covered
- Learning the 3s by skip counting and grouping
- Reaching the 6s by doubling the 3s
- Meeting the square facts like 6 times 6 and 7 times 7
- Spotting the small handful of facts that feel hardest
- Using a known nearby fact to reach a tricky one
- Practising just the stubborn facts, not the whole grid
Practice & Assignments
Pick the one fact your child finds hardest this week and turn it into a silly rhyme or picture together to make it stick.
Division as the other side of multiplication; fact-family fluency through games
Topics Covered
- Seeing division as sharing into equal groups
- Linking 3 times 4 is 12 to 12 shared by 4 is 3
- Building the multiplication and division fact family
- Using a known times fact to answer a divide fact
- Playing fact-family games for speed
- Understanding remainders as leftovers, gently
Practice & Assignments
Share a small pile of objects equally between two or three plates and ask your child which times fact just proved the answer.
Doubling and halving chains: 16 x 5 as 8 x 10, the strategy that feels like magic and is pure structure
Topics Covered
- Halving one number while doubling the other
- Turning 16 times 5 into 8 times 10
- Seeing why the answer stays the same
- Choosing which number to halve to make it easy
- Using this to multiply by 5 quickly
- Chaining a halve and a double smoothly
Practice & Assignments
Offer a times-five problem like 14 times 5 and let your child halve the 14 to 7 and double the 5 to 10, then read off 7 times 10.
Strategy tournaments: same problem, different routes, and the metacognition of choosing, plus stage mastery check
Topics Covered
- Solving one problem several different ways
- Deciding which strategy suits which problem
- Explaining why a chosen route was quickest
- Reviewing make-ten, compensation and doubling-halving
- Owning the full multiplication and division facts
- Thinking about one's own thinking
Practice & Assignments
Hold a friendly strategy tournament: give one problem and see how many different correct routes your child can find and name.
Assessment
A relaxed review game across the strategy toolkit, where the child picks and explains a strategy for each problem and teaches a favourite one back, with no timing pressure.
Hundreds without fear: place-value jumps, friendly numbers and compensation at scale
Topics Covered
- Jumping by hundreds and tens using place value
- Adding to a friendly round number first
- Using compensation on larger numbers
- Adding numbers like 240 plus 130 in the head
- Keeping the place values lined up while jumping
- Checking the size of the answer makes sense
Practice & Assignments
During a walk, add house or page numbers like 120 plus 60, encouraging your child to jump the hundreds and tens out loud.
Mental multiplication beyond tables: 23 x 4 by splitting, 15 x 6 by halving-doubling
Topics Covered
- Splitting a two-digit number into tens and ones
- Multiplying each part then adding (23 times 4 is 20 times 4 plus 3 times 4)
- Using halving and doubling on bigger products
- Choosing the neatest way to split a number
- Holding partial answers in mind to combine
- Estimating first to check the result
Practice & Assignments
Give a problem like 21 times 3 and let your child split it into 20 times 3 and 1 times 3, then add the two parts.
Rounding with purpose: getting close fast, and knowing how close is close enough
Topics Covered
- Rounding a number to the nearest ten or hundred
- Using rounded numbers for a quick estimate
- Deciding how close an estimate needs to be
- Comparing an estimate to the real answer
- Rounding both numbers before adding
- Understanding when an estimate is enough
Practice & Assignments
At the shop, ask your child to round a couple of prices and guess the rough total before you reach the till, then compare with the real total.
The reasonableness habit: catching wrong answers by sense, the skill calculators cannot replace
Topics Covered
- Checking whether an answer looks reasonable
- Using an estimate to catch a big mistake
- Spotting answers that are far too big or too small
- Asking about how much this should be first
- Trusting number sense over a typed answer
- Explaining why an answer cannot be right
Practice & Assignments
Say a deliberately silly answer to an easy sum, like 3 plus 4 is 30, and let your child catch it and explain why it is wrong.
Halves, quarters and the fraction-of-a-quantity game, mental fractions from pictures
Topics Covered
- Splitting a shape or group into equal parts
- Finding half of a quantity, like half of 12
- Finding a quarter by halving twice
- Seeing halves and quarters in real objects
- Understanding fair, equal shares
- Reading a simple fraction from a picture
Practice & Assignments
Share a snack fairly and ask your child for half, then a quarter, of a small group of items, checking the shares are equal.
Fraction and decimal friends: one-half is 0.5 is 50%, the bridge built early
Topics Covered
- Seeing one-half written as 0.5
- Meeting fifty percent as another name for half
- Linking a quarter to 0.25 and 25 percent
- Understanding these are the same amount in different clothes
- Spotting halves and percents in everyday life
- Reading these friendly numbers with confidence
Practice & Assignments
Point out a half price or 50 percent off sign and ask your child what that means for a simple price, like half of 10.
Timed play now that meaning holds: beat-your-own-record ladders, never child-versus-child pressure
Topics Covered
- Using known strategies quickly and calmly
- Timing oneself gently to beat a personal best
- Tracking progress on a personal record ladder
- Choosing the fastest strategy for each fact
- Building speed on top of real understanding
- Racing only against yesterday's self, never a classmate
Practice & Assignments
Set a friendly one-minute challenge of easy facts and let your child try to beat their own score from last time, celebrating any gain.
Graduation project: each child runs a number talk, teaching their favourite strategy, plus final stage mastery check and the road-ahead plan
Topics Covered
- Choosing a favourite strategy to teach
- Running a number talk for the class or mentor
- Explaining each step clearly to others
- Reviewing all the strategies learned this year
- Celebrating durable, understood speed
- Looking ahead to the next maths adventure
Practice & Assignments
Let your child teach the whole family their favourite strategy in a five-minute mini-lesson, using a real example.
Assessment
A gentle final review where the child leads a number talk teaching a chosen strategy, revisits the year's key ideas, and celebrates progress, with a friendly road-ahead plan instead of a test.
Projects You'll Build
Build a professional portfolio with A year-long strategy book plus 4+ fluency artifacts real-world projects.
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