Open curriculum. Guided homeschool. Real proof.
See where learning can go.
Gakuva is an open learning OS with 1,590 connected topics. Explore the map, then turn any starting point into a clear lesson or homeschool day.
Live curriculum map
A connected slice of Math
A math path around age 6 — flip subjects to explore more.
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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
Know 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.
A complete day, not a dashboard
Teach, notice, save. That’s the loop.
01
Child profile
Set age band, state, subjects, homeschool start date, and family schedule.
02
Daily plan
Turn open curriculum into a calm Today view for each child.
03
Guided lesson
Give parents scripts, examples, discussion prompts, and offline activities.
04
Day log
Record school days, partial days, field trips, co-op days, and optional hours.