Maths Through Coding
If you can build it, you understand it. Students build the maths.
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 9-month live course teaching mathematics the way our whole school believes it should be met: by building it. Students write Python programs that ARE the maths, a fraction simplifier that forces understanding of GCD, turtle geometry that makes angles visceral, probability simulators that settle arguments with ten thousand dice rolls, and function grapher projects that turn algebra into something you can watch. This is the signature Modern Age Coders fusion, taught by mentors genuinely fluent in both subjects, and for Ontario families, it happens to cover the coding expectations now examined inside math class from Grade 1. No prior coding needed; the mathematics runs roughly grades 5-9 territory with stretch room.
What Makes This Program Different
- The maths is the syllabus, the code is the method: every program exists to force a mathematical idea into the open
- A computer rejects vague understanding, code that half-understands fractions simply does not run, which makes debugging a mathematics lesson
- Mentors fluent in both subjects, because a coding teacher who waves at the maths (or vice versa) breaks the whole idea
- Real Python from week one, at a pace built for ages 10-15
- Every topic ends with a working artifact the student built and can demo
- Directly serves Ontario's coding-in-math strand, and the computational-thinking push in curricula worldwide
- The engagement answer for the child who says maths is boring but plays with code for hours, or the reverse
- One dedicated mentor, one full interactive hour, twice a week
Your Learning Journey
Career Progression
Detailed Course Curriculum
Explore the complete week-by-week breakdown of what you'll learn in this comprehensive program.
Hello, Python: the editor, print, variables, and a diagnostic of both maths comfort and machine comfort
Topics Covered
- Setting up and using the Python editor
- The print function
- Variables and naming
- Numbers and text as data
- A diagnostic of maths comfort
- A diagnostic of machine comfort
Projects You Build
- Write a Python script that prints a personalised greeting built from variables
Practice & Assignments
Write and run a short program that stores your name and age in variables and prints a sentence.
Arithmetic operators and order of operations: the computer obeys the same grammar your maths teacher does
Topics Covered
- Addition, subtraction, multiplication and division operators
- Order of operations in code
- Brackets to control evaluation
- Integer versus decimal results
- Matching code grammar to maths grammar
- Predicting an expression before running it
Projects You Build
- Write a Python calculator that evaluates a multi-step expression and prints the result
Practice & Assignments
Predict the value of several mixed-operator expressions, then check each by running it.
Integer division and remainders: modulo as the parity machine, even/odd detectors and cycle patterns
Topics Covered
- Integer division
- The modulo operator
- Modulo as a parity machine
- Even and odd detectors
- Cycle and repeating patterns with modulo
- The clock-arithmetic idea
Projects You Build
- Write a Python script that labels every number from 1 to 50 as even or odd using modulo
Practice & Assignments
Use modulo to test a list of numbers for even or odd and describe the pattern you see.
Conditionals with number tests: divisibility rules coded and then explained backwards
Topics Covered
- if, elif and else
- Comparison operators
- Coding divisibility tests
- Explaining divisibility rules backwards
- Combining conditions
- Reading a program's branches
Projects You Build
- Write a Python program that reports which of 2, 3, 5 and 10 a number is divisible by
Practice & Assignments
Code a divisibility checker for 2, 3 and 5 and explain in your own words why each rule works.
Loops as repetition with purpose: times tables generated, then patterns in them hunted and explained
Topics Covered
- for loops and range
- Loops as purposeful repetition
- Generating times tables
- Hunting patterns inside the tables
- Explaining the patterns found
- The nested-loop idea introduced
Projects You Build
- Write a Python script that visualises a times-table as a grid of rows and columns
Practice & Assignments
Generate several times tables with a loop and write down one pattern you notice in each.
Factor finders and prime testers: the student's first real algorithms, and why 1 is not prime, settled by code
Topics Covered
- Finding all factors of a number
- Building a prime tester
- The definition of a prime
- Why 1 is not prime, settled by code
- Writing your first real algorithms
- Testing an algorithm across many inputs
Projects You Build
- Write a Python program that lists every factor of a number
- Write a Python prime tester that prints all primes up to 100
Practice & Assignments
Run your prime tester across the numbers 1 to 30 and confirm the results by hand.
GCD discovered through the Euclidean idea; a fraction simplifier built, which forces equivalence to be truly understood
Topics Covered
- Common factors and the GCD
- The Euclidean idea for finding a GCD
- Coding a GCD function
- Fraction equivalence
- Building a fraction simplifier
- Why the machine forces real understanding
Projects You Build
- Write a Python fraction simplifier that reduces any fraction to lowest terms using the GCD
Practice & Assignments
Simplify several fractions by hand, then confirm each one with your simplifier.
Fraction arithmetic programmed (common denominators become obvious when a machine needs them); phase demo day: each student presents their number toolkit
Topics Covered
- Adding and subtracting fractions in code
- Why a machine needs common denominators
- Multiplying and dividing fractions
- Combining the GCD with fraction arithmetic
- Preparing a clear demo
- Presenting the number toolkit
Projects You Build
- Write a Python fraction calculator that adds, subtracts and simplifies two fractions
Practice & Assignments
Extend your fraction program to add and subtract two fractions and simplify the result.
Assessment
Phase demo day: each student presents their number toolkit and explains the mathematics behind it.
Turtle basics: squares, triangles and the exterior-angle discovery (why 360 divided by n draws every regular polygon)
Topics Covered
- Turtle graphics setup
- Drawing squares and triangles
- Forward and turn commands
- Discovering exterior angles by steering
- Why 360 divided by n draws a regular polygon
- Connecting turning to angle size
Projects You Build
- Write a Python turtle program that draws any regular polygon from the number of sides
Practice & Assignments
Draw three different regular polygons with turtle and record the turn angle each one needs.
Star polygons, spirals and angle art; interior-angle sums verified by walking them
Topics Covered
- Drawing star polygons
- Spirals with a changing step or angle
- Angle-art compositions
- Interior-angle sums
- Verifying angle sums by walking them
- Combining loops with turtle turns
Projects You Build
- Write a Python turtle program that draws a star polygon or spiral of your own design
Practice & Assignments
Create an angle-art pattern and explain the interior or exterior angles that make it close.
The coordinate plane as the screen it literally is; plotting points, lines and midpoints in code
Topics Covered
- The screen as a coordinate plane
- Plotting points from coordinates
- Drawing lines between points
- Finding midpoints
- The distance-between-points idea
- Reading coordinates back off a drawing
Projects You Build
- Write a Python program that plots points and draws the line and midpoint between two of them
Practice & Assignments
Plot a set of points in code and compute the midpoint of two of them.
Algebra as code: expressions evaluated, equations solved by guess-check-refine, and why balance methods beat brute force
Topics Covered
- Evaluating algebraic expressions in code
- Variables that actually vary
- Solving equations by guess, check and refine
- Why balance methods beat brute force
- Substituting into a formula
- Checking a solution programmatically
Projects You Build
- Write a Python script that solves a linear equation by guess-check-refine and prints each step
Practice & Assignments
Solve a linear equation both with a guess-check-refine loop and by balancing, then compare.
Python functions and mathematical functions introduced as the same idea: input, rule, output
Topics Covered
- Defining a Python function
- Parameters and return values
- Mathematical functions as machines
- Input, rule and output as one idea
- Evaluating a function for many inputs
- Building a table of values
Projects You Build
- Write a Python function that takes x and returns a rule such as 2x plus 1, then tabulates it
Practice & Assignments
Write a function for a simple rule and print a table of its outputs for several inputs.
The grapher project: plot y = mx + c and watch m and c do their jobs; then parabolas, and phase demo day
Topics Covered
- Plotting y = mx + c
- The role of the gradient m
- The role of the intercept c
- Plotting parabolas
- Watching parameters reshape the graph
- Presenting the grapher at demo day
Projects You Build
- Write a Python grapher that plots y = mx + c for chosen values of m and c
- Extend the grapher to plot a parabola and watch how its shape changes
Practice & Assignments
Use your grapher to compare two lines with different m and c and describe the difference.
Assessment
Phase demo day: each student presents their grapher and explains how m and c shape the line.
Randomness in code: coin flippers and dice rollers; experimental versus theoretical probability, watched converging
Topics Covered
- Random numbers in Python
- Coin-flip simulation
- Dice-roll simulation
- Experimental probability from many trials
- Theoretical probability
- Watching results converge as trials grow
Projects You Build
- Write a Python script that simulates thousands of dice rolls and reports the proportion of each outcome
Practice & Assignments
Simulate 1000 coin flips and compare the experimental probability with the theoretical value.
The classic puzzles simulated: two-dice sums, streaks in coin flips, intuition calibrated by evidence
Topics Covered
- Two-dice sum distributions
- Why 7 is the most likely sum
- Streaks in coin flips
- Calibrating intuition with evidence
- Counting outcomes versus simulating them
- Comparing simulation with theory
Projects You Build
- Write a Python simulation of two-dice sums that displays the frequency of each total
Practice & Assignments
Simulate two-dice sums many times and chart how often each sum appears.
Mean, median and range computed by the student's own code, the definitions can no longer be vague
Topics Covered
- Computing the mean in code
- Finding the median by sorting
- Calculating the range
- Making vague definitions precise
- Handling a list of data
- Checking results against a hand calculation
Projects You Build
- Write a Python program that reads a list of numbers and reports the mean, median and range
Practice & Assignments
Write code to compute the mean, median and range of a data list, then verify each by hand.
A real dataset explored: summaries, simple charts, and the sceptic's questions (outliers, sample size, fair comparisons)
Topics Covered
- Loading a real dataset
- Summarising the data
- Making simple charts
- Spotting outliers
- Questioning the sample size
- Judging whether a comparison is fair
Projects You Build
- Write a Python program that summarises a real dataset and draws a simple chart from it
Practice & Assignments
Summarise a small real dataset and write down two sceptic's questions it raises.
Capstone chosen and scoped: a times-table trainer, geometry art generator, probability game, data story, the student's call, the mentor's rigor
Topics Covered
- Choosing a capstone idea
- Scoping the mathematics inside it
- Planning the build in steps
- Setting a realistic target
- Options: a trainer, an art generator, a game or a data story
- Mentor rigour applied to the maths
Projects You Build
- Begin building your chosen capstone program in Python from your scoped plan
Practice & Assignments
Write a one-page plan for your capstone that names the mathematics it will make visible.
Build, test, polish; demo day, the student presents their program and, more importantly, explains its mathematics
Topics Covered
- Building the capstone
- Testing and debugging
- Polishing the program
- Preparing a clear demo
- Presenting the program
- Explaining the mathematics behind it
Projects You Build
- Complete, test and polish your capstone program ready to demo
Practice & Assignments
Test your capstone on several cases, fix what breaks, and rehearse your demo explanation.
Assessment
Final demo day: each student presents the capstone and explains the mathematics it is built on.
Projects You'll Build
Build a professional portfolio with 12+ working programs, demo-ready real-world projects.
Weekly Learning Structure
Certification & Recognition
Technologies & Skills You'll Master
Comprehensive coverage of the entire modern web development stack.
Support & Resources
Career Outcomes & Opportunities
Transform your career with industry-ready skills and job placement support.
Prerequisites
Who Is This Course For?
Career Paths After Completion
Course Guarantees
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What families say
Straight from the parents and students who learn with us. Rated 4.9 across 547 Google reviews.
“Mivaan enjoys the class. He understands the concepts and completes his tasks with excitement. He started taking interest in coding… truly amazing class.”
“I absolutely love it here! I made new friends and learned important valuable coding skills while having the fun of my life. It's not just coding here, it's outings, bonding and most importantly preparing you for your future. Definitely five stars.”
“What stands out most is how excited my son is before every class. He looks forward to learning, problem-solving, and sharing what he's built. I've noticed a big boost in his confidence!”
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