EH / K / 01
Early math foundations
Counting and making ten.
Open the syllabusUnited States · Eureka Math, Eureka Math squared and EngageNY · For parents
A worksheet asks your second grader to "solve using a number bond" and you are not sure what one is. Or your fourth grader has been told not to "just" use the method you learned. Eureka Math homework confuses many families, not because it is especially hard but because it is written in a visual language parents were never taught. The good news is that the language is small and consistent: Great Minds, the publisher, says students use the same models from grade to grade. Learn those models and most homework nights get calmer. This guide explains them, with worked examples of our own.
Teaching math and coding live since 2020 · 10,000+ students · grades K to 12
In short
Eureka Math is a math curriculum from Great Minds, used by many US school districts and also published as EngageNY modules in New York, that teaches through models such as number bonds, number lines and area models used from grade to grade. Eureka Math homework help explains those models so parents can follow along. Live online classes at Modern Age Coders, in a batch or 1-on-1, teach these models through the Elementary Math course, and the first class is free.
Help with the models
We follow the module your child is on and teach the same models the homework uses, never a conflicting method.

EH / 01
Number bonds to fractions, taught with the models Eureka homework expects.
Open the syllabus →
EH / 02
For kindergarten and first grade: counting, making ten, number pairs.
Open the syllabus →
EH / 03
For grades 6 to 8, when the bar drawings turn into equations.
Open the syllabus →What it is
Eureka Math is published by Great Minds. Many families first met its lessons as the free EngageNY modules from New York State. There is now also a newer edition, Eureka Math squared (written Eureka Math²).
| Name | What the source says | What it means for homework |
|---|---|---|
| Eureka Math | Great Minds calls it "The most widely used K-5 math curriculum in the U.S."; students "use the same models and problem-solving methods from grade to grade" | The models your child learns in kindergarten return in grade 5 |
| Eureka Math squared | Described as "an evidence-based PreK-Algebra I math curriculum" in which "High-leverage models remain consistent across grades" | A newer edition with the same model-first approach |
| EngageNY | "The New York State Education Department discontinued support for the EngageNY.org website on July 7, 2022." | Old EngageNY links may be dead; the files are archived |
| Licence of the archive | Curriculum files remain free under a Creative Commons BY-NC-SA licence | Schools can still use the archived modules |
Great Minds says Eureka Math has a "focus on fewer topics centered on the major work of the grade band", and that it aims for an understanding of the why behind the numbers, not only the how.
For Eureka Math squared it adds: "This spiraling curriculum helps students build, revisit, and retain knowledge over time." That is why a model from last year turns up again in this week’s homework.
Look at the cover of the student book or the name on the school’s parent letter. Eureka Math squared is printed with a small raised 2. If the worksheet footer mentions EngageNY or a New York module, it comes from the original modules.
The models are close enough that everything on this page applies to all three.
Sources: Great Minds, Eureka Math, Eureka Math squared and the NYSED EngageNY page, checked 31 October 2026. Eureka Math is a registered trademark of Great Minds. Modern Age Coders is not affiliated with Great Minds or the New York State Education Department.
Modules by grade
Eureka Math is organised into modules, each made of topics. The Parent Tip Sheets on the Great Minds site list them in the same order as the homework, so a parent can see what is coming.
| Grade | Module 1 | Module 2 | Module 3 |
|---|---|---|---|
| K | Numbers to 10 | Two-Dimensional and Three-Dimensional Shapes | Comparison of Length, Weight, Capacity, and Numbers to 10 |
| 1 | Sums and Differences to 10 | Introduction to Place Value Through Addition and Subtraction Within 20 | Ordering and Comparing Length Measurements as Numbers |
| 2 | Sums and Differences to 100 | Addition and Subtraction of Length Units | Place Value, Counting, and Comparison of Numbers to 1,000 |
| 3 | Properties of Multiplication and Division and Solving Problems with Units of 2 to 5 and 10 | Place Value and Problem Solving with Units of Measure | Multiplication and Division with Units of 0, 1, 6 to 9, and Multiples of 10 |
| 4 | Place Value, Rounding, and Algorithms for Addition and Subtraction | Unit Conversions and Problem Solving with Metric Measurement | Multi-Digit Multiplication and Division |
| 5 | Place Value and Decimal Fractions | Multi-Digit Whole Number and Decimal Fraction Operations | Addition and Subtraction of Fractions |
Later modules carry the big ideas forward: in grade 3, for example, Module 4 is Multiplication and Area and Module 5 is Fractions as Numbers on the Number Line; in grade 5, Module 4 is Multiplication and Division of Fractions and Decimal Fractions and Module 6 is Problem Solving with the Coordinate Plane. The tip sheets break each module into lettered topics.
Source: Great Minds, Parent Tip Sheets K to 5, checked 31 October 2026. Ranges in titles are written with "to" on this page.
The models
A number bond shows a whole split into parts. Great Minds describes it as a model "used throughout grades K-5". The table below is our plain-English glossary of models families commonly meet on elementary homework; your child’s tip sheet names the exact ones each topic uses.
| Model | What it looks like | What it is for |
|---|---|---|
| Number bond | A circle for the whole joined to circles for its parts | Seeing that 13 is 10 and 3, or 8 is 5 and 3 |
| Ten-frame | A two-by-five grid of dots | Picturing numbers to 10 and making ten |
| Number line | A marked line, sometimes with jumps drawn as arcs | Counting on, comparing, placing fractions |
| Place value chart | Columns for hundreds, tens and ones (later tenths) | Regrouping, decimals, why digits move |
| Bar or tape drawing | Rectangles split into equal units | Word problems: parts, wholes and comparisons |
| Area model | A rectangle split by place value | Multi-digit multiplication and division |
Great Minds’ family page asks the question directly: "Why do children need to learn multiple strategies for solving problems?" Its answer is that a model like the number bond is "another tool for understanding mathematical concepts and problem-solving."
In our experience the models matter most for word problems. A child who can draw a bar diagram can usually solve a problem they could not solve by guessing which operation to use.
No. The grade 4 Module 1 title itself includes "Algorithms for Addition and Subtraction", and the standard methods appear in later modules too. The models come first so the method makes sense when it arrives.
If your child’s teacher asks for a model, use the model on that assignment. On your own practice at home, it is fine to show the method you know as a way of checking.
Worked examples
Five worked examples written by us, on topics from the modules above. None are copied from Eureka Math lessons or homework; they show the kind of thinking the homework asks for.
| Grade | Problem | Model | Worked reasoning |
|---|---|---|---|
| 1 | 8 + 5 | Number bond, make ten | Split 5 into 2 and 3. 8 + 2 = 10, then 10 + 3 = 13. |
| 2 | 46 + 38 | Tens and ones | 40 + 30 = 70 and 6 + 8 = 14, so 70 + 14 = 84. |
| 3 | A class collects 48 cans. Group A collects three times as many as Group B. How many does each group collect? | Bar drawing | B is one unit, A is three units: four equal units make 48, so one unit is 12. Group B 12, Group A 36. |
| 3 | Where does 3/4 go between 0 and 1? | Number line | Split the space from 0 to 1 into 4 equal parts. Count three parts from 0. |
| 5 | 1/2 + 1/3 | Area or bar model | Cut both into sixths: 1/2 = 3/6 and 1/3 = 2/6, so the sum is 5/6. |
The number bond for 8 + 5 works because 8 is two short of 10. The child asks "what does 8 need to make 10?", takes that 2 from the 5 and has 3 left over. Ten and three is 13.
The same move later solves 38 + 5 (make 40, then 43) and 298 + 7 (make 300, then 305). That is the payoff of using one model for years.
For the cans problem, a parent can check two ways: 36 + 12 = 48, and 36 is three times 12. If either check fails, the units were drawn unequal.
Children often draw Group A’s bar the same length as Group B’s. Ask "how many of B’s bars fit inside A’s?" before they start.
| Problem | Try this model |
|---|---|
| 9 + 6 | Number bond, make ten (10 + 5 = 15) |
| 57 + 26 | Tens and ones (70 + 13 = 83) |
| A rope of 35 feet is cut into two pieces; one is four times the other | Bar drawing (7 feet and 28 feet) |
| Place 2/3 on a number line | Three equal parts, count two |
| 1/4 + 1/2 | Quarters (3/4) |
Homework night
Start with the free resources Great Minds publishes for families. Then use a short routine so homework does not become an argument about methods.
| Resource | What Great Minds says it is | Grades |
|---|---|---|
| Parent Tip Sheets | Topic overviews with strategies, models, key vocabulary and home tips, "arranged in the same sequence as the student homework" | K to 8, English and Spanish |
| Homework Helpers | "step-by-step explanations of how (and why!) to work problems similar to those found in your child’s Eureka Math homework assignments" | K to 12 in English; Spanish digital K to 8 |
| Grade Roadmaps | They "bridge the gap between the way math was once taught and the techniques used in Eureka Math" | K to 7, English and Spanish |
| Card games | Rules for fluency games with a Eureka deck or a standard deck of playing cards | Elementary |
Great Minds also says: "There is a Homework Helper to go with every homework assignment in the curriculum." If your school has not mentioned them, ask the teacher which version and module your child is on, then find the matching Helper.
Source: Great Minds, Eureka Math family engagement, checked 31 October 2026. The routine is our advice.
Where your child is
How we see children move from copying a drawing to thinking with it.
| Stage | What it looks like |
|---|---|
| 1. Copying the picture | Draws the model because the worksheet says so |
| 2. Using it with help | Can fill in a model someone else started |
| 3. Choosing it | Draws a bar or number bond without being told |
| 4. Outgrowing it | Does it in their head and can still draw it if asked |
Stage 1 often looks like the child does not understand the math. Usually they understand the math and not the model.
A child at stage 4 is not skipping steps; they have absorbed them.
If a word problem is confusing, draw it before you calculate.
Making ten is a trick you will use for years.
The catalogue
Live courses from kindergarten to middle school, teaching the models schools use and the fluency families want.
EH / K / 01
Counting and making ten.
Open the syllabusEH / K / 02
Number bonds in the head.
Open the syllabusEH / K / 03
Grades 1 to 5.
Open the syllabusEH / U / 01
Patterns in Python.
Open the syllabusEH / U / 02
For keen problem solvers.
Open the syllabusEH / U / 03
The next step up.
Open the syllabusEH / A / 01
Bars become equations.
Open the syllabusEH / A / 02
Algebra to calculus.
Open the syllabusEH / A / 03
For the very keen.
Open the syllabusHow lessons run
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays.
Weekdays
After school, on this week’s module.
Weekends
Review before a module assessment.
1-on-1
Matched to your child’s topic.
No conflicting methods.
We follow the school’s order.
Practice written by our teachers.
We teach, the child completes it.
After-school slots coast to coast.
Join fifteen to twenty peers, or learn alone.
Student work
Older students sometimes turn math into code. See a few projects on student labs.

AI and ML
An AI nutrition coach that reads what you eat and works you toward a target.

AI and ML
A chatbot that answers mathematics and programming questions, built and deployed by a student.

AI and ML
An assistant that helps a young person recognise unsafe situations online.

Web app
A weather forecasting site with live conditions for any location.
Fees
Classes for Eureka Math families run month to month in US dollars, so a family can bring in help for a tricky module and stop once homework nights settle down.
Free first class
USD 0
no card required
Group batch
USD 100
a month, billed in US dollars
One to one
USD 150
a month, billed in US dollars
What families say
Google reviews from families, quoted exactly.
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Parent
★★★★★
"Modern Age Coders has been a game-changer for me. I struggled to grasp IT concepts and coding before joining, but their classes transformed everything. I can now confidently write complex programs with ease."
Samriddha Mondal
Student
★★★★★
"One of the most wonderful education centres out there. Education is not limited to school syllabus but focuses on skill development."
Vansh Agarwal
Student
★★★★★
"My child Dhairya is really enjoying the Modern Age Coders classes. This is his first online class and he eagerly looks forward to it. I can already see his improvement, and the teachers are very cooperative."
Sonam Oswal
Parent of Dhairya
★★★★★
"Modern Age Coders have wonderful teachers who teach in a clear, easy and practical way. The teacher boosts students' confidence and inspires them to learn without hesitation."
Sonu Goyal
Parent
★★★★★
"I highly recommend this computer coding class! The teachers are incredibly knowledgeable and passionate about coding."
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Parent
Questions from parents
Yes. A live teacher follows the module your child is on and teach the same models the homework uses. Classes run as a batch of 15 to 20 or one to one.
A number bond shows a whole number split into parts, such as 13 as 10 and 3. Great Minds says it is used throughout grades K to 5, often to make ten when adding.
The EngageNY math modules were the free New York State version of the same lessons. The New York State Education Department stopped supporting the EngageNY website on July 7, 2022, and keeps the files in an archive.
Eureka Math squared is the newer Great Minds edition, described as a PreK to Algebra I curriculum. Its models stay consistent across grades, so the help on this page applies to both.
Great Minds publishes free Parent Tip Sheets, Grade Roadmaps and Homework Helpers on its family engagement page. It says there is a Homework Helper for every homework assignment in the curriculum.
Eureka Math teaches models before the standard method so the method makes sense later. The standard algorithms do appear, for example in the grade 4 Module 1 title. On an assignment that asks for a model, use the model.
The worksheet footer usually names the module and lesson. If not, ask the teacher; the Parent Tip Sheets follow the same order as the homework.
No. We teach the model and the idea, then set similar problems of our own. The homework remains your child's work.
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays.
No. We are an independent online school. Eureka Math is a trademark of Great Minds, and we quote only its public pages.
Elsewhere on this site
More for parents helping with elementary math at home.
What the standards say about methods.
Sums to 20 and place value.
Adding and subtracting to 1,000.
Multiplication, area and fractions.
Fractions and decimals.
Live online classes for US children.
Part of the guide: Homeschool and school math curricula guide
More guides: US state math tests by state · US gifted and selective school tests · US math placement and college readiness tests · US math and coding competitions guide
Start here
Send a photo of the homework page that stumped everyone, with the module and lesson number if you can see it. The teacher will work through the model with your child.
Read about our teaching method, or explore the course catalogue.
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