Maths in grade 1: what children learn and how to practise at home

What grade 1 usually covers

In most German-speaking primary schools the first year of maths is about the numbers up to 20. Exact contents differ by state and school, but these topics almost always appear:

• Counting and number sense: counting forwards and backwards, knowing which number comes before and after, comparing numbers (more, fewer, equal).
• Splitting and combining: seeing that 7 is made of 3 and 4, or 2 and 5. This is the foundation of adding and subtracting.
• Adding and subtracting up to 10, then up to 20: first without and later with crossing the ten.
• Doubles and halves: 3 + 3, 5 + 5, half of 8.
• Shapes, patterns and time: recognising circles, squares and triangles, continuing patterns, reading full hours.
• Money: simple coins and prices, usually only a first look.

The bigger goal is understanding. A child who only counts on their fingers can get many answers right and still miss the idea that numbers can be split and put together.

What should feel secure by the end of the year

Ask yourself whether your child can do these things without long counting:

1. Say how many are missing to reach 10 (7 and what makes 10?).
2. Solve sums and differences up to 10 almost at once.
3. Manage simple sums up to 20, with help from doubles and the ten.
4. Explain in their own words how they found an answer.

If some of this is still shaky at the end of the year, that is common. It does not mean your child is behind. It is a sign of where to practise more.

How to practise at home

• Use real things. Buttons, pasta or coins let a child see and move numbers. Later, take the objects away.
• Play with splitting. Hide some of 8 buttons under a cup and ask how many are hidden.
• Look for ten. Ten friends (3 and 7, 4 and 6) make later sums easy. Our guide on adding across ten shows where this leads.
• Keep it short. Five relaxed minutes a day beat one long session on Sunday.
• Praise the route. “How did you know that?” matters more than a fast answer. More ideas are in Short daily practice routines.

Typical stumbling blocks

• Counting one by one for everything. This is fine at the start but becomes slow and error-prone. Encourage seeing groups of 2, 3 or 5.
• Mixing up plus and minus. Say the story out loud: “I had 7 and two flew away.”
• Reversed digits. Writing 12 as 21 is very common early on. Keep calm and practise writing with a model.
• Stress. Children who feel tested tend to guess. Make practice feel like a game.

Where Recheneule can help

Recheneule offers short game rounds for grades 1 to 4 with no ads and no account, so addition and subtraction can be revised in between. It supports practice, but your child’s exercise book and your questions come first. More on the Recheneule page. If you look ahead: maths in grade 2.