Open learning OS
Open a topic and you can teach it today.
Free lessons for homeschoolers, self-learners, and families teaching and tracking learning independently.
Lessons and planning stay free. Gakuva Family adds saved work samples and proof PDF export.
New families: 14-day trial starts when your family is created. No credit card required. • See sample proof packet
Live curriculum map
A connected slice of Math
A math path around age 6 — flip subjects to explore more.
Browse every topic in this map
- Adding and subtracting
- Adding and subtracting tens mentally
- Adding Three Small Numbers
- Adding two two-digit numbers
- Adding within 100
- Addition and subtraction strategies
- Addition and subtraction within 20
- Addition and subtraction word problems
- Addition as combining or putting together two
- Addition in any order
- Early Word Problems
- Finding a missing number in addition
- Fluent adding and subtracting within 10
- Fluent adding and subtracting within 5
- Fluent addition and subtraction
- Grouping numbers to add
- Inverse: addition undoes subtraction
- Mental addition and subtraction (age 6+)
- Mental and written addition and subtraction
- Number bonds
- Number bonds to 9
- Numbers up to 10 into pairs
- Reading +, −, and = symbols
- Representing Addition and Subtraction
- Subtracting multiples of 10
- Subtraction as taking away or separating
- Unknown in Addition & Subtraction
- What the equals sign means
- Comparing groups: more or fewer
- Counting forwards and backwards
- Counting forwards and backwards (age 6+)
- Counting in 2s
- Counting objects to 20
- How Many in Total?
- One More Each Time
- One-to-one counting
- Representing numbers with objects
- Rote counting to 100
- Two written numerals between 1 and 10
- Pictograms and tally charts
- Pictograms and tally charts (age 6+)
- Sorting Data into Categories
- Sorting into categories
- Sorting into categories (age 6+)
- Decomposing a shape into more equal shares
- Finding halves and quarters (age 5+)
- Fraction Notation
- Fractions of amounts
- Halves & Quarters of Shapes
- Understanding fractions
- What Is a Half?
- 2-D faces on 3-D shapes
- 2-D shapes
- 2-D shapes (age 6+)
- 3-D shapes
- 3-D shapes (age 5+)
- Angles in triangles (age 6+)
- Building & Drawing Shapes
- Building with 3-D Shapes
- Combining Simple Shapes
- Composing Shapes
- Edges, vertices, and faces
- Flat vs Solid Shapes
- Patterns & Sequences
- Position, direction, and movement
- Positional Language
- Sorting 2-D and 3-D shapes
- Turns & Directions
- Connecting maths to real life
- Connecting Representations
- Early Maths Vocabulary
- Explaining Mathematical Reasoning
- Finding efficient methods
- Generalising Patterns
- Guided Multi-Step Problem Solving
- Hands-On Problem Solving
- Making Sense of Problems
- Numbers on a number line
- Precise Maths Communication
- Real-World to Maths Connections
- Shape patterns
- Showing Your Working
- Spotting mathematical patterns
- Using objects to model real problems
- Adding money and giving change
- Capacity and volume
- Choosing measurement units
- Coin Values
- Comparing and ordering measurements
- Comparing Capacity
- Comparing durations
- Comparing Lengths & Heights
- Days, Weeks, Months & Years
- Measurable Attributes of Objects
- Measuring length
- Measuring length (age 6+)
- Measuring length and height (age 5+)
- Measuring mass and weight
- Measuring mass and weight (age 4+)
- Money Addition & Subtraction
- Number of minutes in an hour
- Ordering Events in Time
- Pounds & Pence Notation
- Sequence intervals of time
- Telling time to the minute
- Telling Time: Hours and Half Hours
- Telling Time: Minutes
- Arrays for multiplication
- Commutative Multiplication
- Division as equal sharing
- Multiplication as repeated addition
- Multiplication as repeated addition (age 6+)
- Odd and even numbers
- Reading ×, ÷, and = Symbols
- Times tables
- 10 More or 10 Less
- A Ten Is Ten Ones
- Comparing and ordering numbers
- Number Words to 100
- Number Words to Twenty
- Place value understanding and number facts
- Reading and writing numbers to 100
- Reading and writing numbers to 120
- Reading and writing numbers to 20
- Representing Numbers
- The multiples of 10
- The teen numbers
- The two digits of a two-digit number
Family path
Keep photos, notes, and attendance. Export a proof packet when you need it. Family is $12/mo or $108/yr.
Start FamilyKnow what to do now
Two short lessons by default—Math and Reading—shown one at a time with words a parent can actually use.
Proof happens naturally
A photo, a note, and attendance become the record without extra paperwork.
See where learning goes
The open curriculum map shows what came before and what opens next.
Gakuva Family
Save evidence and export proof
Lessons and curriculum stay free forever. Family adds the evidence archive and proof PDF export—for homeschool compliance or any family keeping a record.
Monthly
- Evidence archive (photos, notes, attendance)
- Proof PDF export for state compliance
- New families: 14-day trial, no credit card required
- Unlimited children, cancel anytime
Annual
Just $9/month, billed annually
- Evidence archive (photos, notes, attendance)
- Proof PDF export for state compliance
- New families: 14-day trial, no credit card required
- Unlimited children, cancel anytime
Lessons, curriculum, and daily planning stay free forever.
A complete day, not a dashboard
Teach, notice, save. That’s the loop.
Start Family
Keep proof of learning—photos, notes, attendance—and export when you need records.
Daily plan
Turn open curriculum into a calm Today view for each child.
Guided lesson
Give parents scripts, examples, discussion prompts, and offline activities.
Day log
Record school days, partial days, field trips, co-op days, and optional hours.