Maths in Year 7: what Lärkompis practises
In Year 7 of Swedish school (around age 13), Lärkompis practises 18 skills in maths, linked to 16 of 28 items in the core content of Lgr22, the Swedish national curriculum, for Years 7–9. The areas are algebra; geometry; problem solving; relationships and change; probability and statistics; and understanding and using numbers. Each skill has five difficulty levels, and the skills are practised in 9 mini-games, including Rätta roboten (Fix the Robot), Flodhoppet (River Hop) and Kunskapsjakten (Knowledge Hunt).
Lgr22 sets out core content for each stage (Years 7–9), not for each year. So Lärkompis spreads the skills across the years using its own time windows, and these are estimates. For Year 7, this means that 17 skills start this year and 1 skill started earlier and is still being practised. The figure 16 of 28 counts the items in the core content from Skolverket (the Swedish National Agency for Education) that at least one skill links to; it does not mean the whole item is covered.
What Lärkompis practises in Year 7
The 18 skills in maths in Year 7 are grouped into 6 areas following Skolverket's syllabus. Under each skill you can see the first and the last difficulty level, so you know how far the exercises go.
Algebra
- Solving equations Level 1: x + a = b. Level 5: Equations with brackets.
- Patterns in number sequences and geometric patterns Level 1: The next number in a sequence. Level 5: Shape patterns and growth.
- Expressions with letters Level 1: The value of a simple expression. Level 5: Formulas and expressions in everyday life.
Geometry
- Area, perimeter and circles Level 1: Area of a triangle. Level 5: Circles in compound shapes.
Problem solving
- Solving problems with logical reasoning and a table Level 1: Four people: “not” and “neither ... nor”. Level 5: Five clues of every kind.
Relationships and change
- Compound units such as km/h and kronor per kg Level 1: Speed in km/h. Level 5: Converting between m/s and km/h.
- Percentages, discounts and finding the whole Level 1: Ten, twenty-five and fifty per cent of round numbers. Level 5: Finding the whole when a part is known.
Probability and statistics
- Mean, median and mode Level 1: The mean of a few numbers. Level 5: How a new value changes the mean.
Understanding and using numbers
- Fractions, decimals and percentages Level 1: Common conversions, 1/2 = 50%. Level 5: Numbers over 1 and 100%, sorting five numbers.
- Calculating with fractions Level 1: A fraction of a number: 2/3 of 36. Level 5: Dividing a fraction by a fraction, and word problems: 7 litres into 1/2-litre glasses.
- Calculating with decimals Level 1: Adding and subtracting tenths, 1.6 − 1.2. Level 5: Dividing by decimals, 0.6 ÷ 0.2, and the number line with hundredths.
- Standard form and prefixes Level 1: Write 1,000 as a power of ten; kilo and milli. Level 5: Comparing numbers in standard form and changing units with prefixes (GHz to MHz).
- Times tables and mental arithmetic (keeping them fresh) Level 1: Times tables 1–10, simple divisions. Level 5: Squares and mixed two-digit questions, 11².
- Negative numbers Level 1: Temperatures below zero and the number line. Level 5: Mixed expressions and ordering, 2 · (−9).
- Powers and the laws of indices Level 1: The value of powers, 2³ and 10². Level 5: Zero and negative powers, and simplifying.
- Prime numbers, divisibility and prime factorisation Level 1: Which of the numbers is a prime, factors of 9. Level 5: The smallest prime after 117, lowest common multiple in word problems.
- Order of operations with brackets and powers Level 1: Multiplication before addition: 3 + 9 · 7. Level 5: Brackets, powers and negative steps along the way: 3 − 7 · (9 − 7).
- Rough estimates and checking whether answers are reasonable Level 1: Round and calculate: 72 ≈ 70. Level 5: Everyday contexts: a car at 44 km/h for 4.4 hours.
What the syllabus says, in short
The Lgr22 core content for Years 7–9 in maths, summarised in our own words for the parts Lärkompis practises in Year 7. Read the full text in Skolverket's English translation of Lgr22.
- Real numbers, powers, and standard form for very large and very small numbers.
- Mathematical rules and calculating with numbers as fractions, decimals and powers, and judging whether answers are reasonable.
- Equations, formulas and functions: linear equations and simple quadratic equations.
- Area, perimeter and volume, plus geometric theorems, similarity and congruence.
- Probability and combinatorics, plus measures of average and spread in statistics.
- Percentages and change factors, derived units (km/h, SEK/kg), the equation of a straight line, and functions.
- Mathematical models and problem solving, and evaluating the strategies used.
How to help at home with maths in Year 7
Year 7 starts the last stage (Years 7–9), with more teachers and more to keep track of. For many, help with planning (what needs doing when, and what counts as a test) is worth more than help with the tasks themselves. Let your teenager lead: choices within limits strengthen motivation. Ask “how did you work it out?” more often than “what did you get?”, and use the same models and written methods as the teacher, so your child does not have two different methods to keep track of.
- Percentage change in real life. Look at a price rise or a mobile phone contract. Let your teenager work out the percentage change and the change factor (a 20% increase gives the factor 1.20). Ask how they know whether the answer is reasonable. Works in everyday life: about 10 minutes.
- Read a graph together. Find a graph in the news and ask what is changing, how fast and what the axes show. Link it to the equation of a straight line if the graph is straight. The point is to see that maths describes the real world. As a conversation: about 10 minutes.
- Find where they got stuck. Ask your teenager to read the question aloud and point to the last line they understood. Ask: “What do you already know, and what do you need to find out?” Then give the smallest possible hint. If they are still stuck, send the question to the teacher. When it is hard going: about 10 minutes.
- Preparing for tests without pressure. Ask: “What will the test cover, and which part feels least secure?” Make a plan of three short sessions together with your teenager and let them decide the order. Plan for a good night’s sleep before the test. As a conversation: about 10 minutes.
How you can tell it has clicked in Year 7
- Mean, median and mode: Your child puts the numbers in order before finding the median.
- Fractions, decimals and percentages: Your child knows that 105% is more than the whole.
- Calculating with fractions: Your child finds a common denominator before adding 1/2 + 2/3.
- Calculating with decimals: Your child knows that 0.6 ÷ 0.2 is 3 because 0.2 goes into 0.6 3 times.
Common pitfalls in Year 7
- Prime numbers, divisibility and prime factorisation: Thinks all odd numbers are prime (9, 15, 21).
- Order of operations with brackets and powers: Works from left to right: 3 + 9 · 7 becomes 84.
- Rough estimates and checking whether answers are reasonable: Rounds wrongly (rounds 2.5 down).
- Standard form and prefixes: Writes 4.5 · 10³ as 45,000.
If maths practice in Year 7 often ends in tears or takes far too long, stop for the day and write a few lines to the teacher about what was hard. That is useful information for the school, not a failure.
Games that practise it
In Year 7 maths, Lärkompis uses 9 mini-games. In these games, playing is the practice, so your child learns while they play. There are no points or streaks, and no ads.
Rätta roboten (Fix the Robot)
Knut has made a mistake and your child teaches him the right way. Explaining the mistake is the skill. In Year 7, the game practises 15 skills: solving equations; expressions with letters; area, perimeter and circles; percentages, discounts and finding the whole; and more.
Flodhoppet (River Hop)
Pix hops across the river on stepping stones that sit on a number line. In Year 7, the game practises 4 skills: solving equations; fractions, decimals and percentages; calculating with decimals; and negative numbers.
Kunskapsjakten (Knowledge Hunt)
A quiz show in a TV studio, where Vera leads the questions up a ladder. There are lifelines but no points: the ladder fills up with the questions your child has worked through. In Year 7, the game practises 2 skills: patterns in number sequences and geometric patterns; and compound units such as km/h and kronor per kg.
Tidslinjen (The Timeline)
Your child puts cards on a line in the right order, for example events, steps or numbers. A card in the right place turns over and shows the answer. In Year 7, the game practises 2 skills: fractions, decimals and percentages; and negative numbers.
Bråkpizzan (Fraction Pizza)
A pizza is cut into slices and the slices are the fractions: your child cuts, compares and adds them up. In Year 7, the game practises 1 skill: calculating with fractions.
Butiken (The Shop)
Your child pays, gets change and compares prices with real coins. In Year 7, the game practises 1 skill: percentages, discounts and finding the whole.
Detektiven (The Detective)
A short logic case each round: your child reads the clues, fills in a grid with crosses and ticks, and points out the answer. In Year 7, the game practises 1 skill: solving problems with logical reasoning and a table.
Vågen (The Balance)
A balance scale where using the scale is the skill: your child makes both sides weigh the same, works out what a box weighs or solves an equation by doing the same thing to both sides. In Year 7, the game practises 1 skill: solving equations.
Vändspelet (The Flip Game)
A memory game where two cards that go together stay face up, for example 3 + 4 and 7. In Year 7, the game practises 1 skill: fractions, decimals and percentages.
Questions about maths in Year 7
What does Lärkompis practise in maths in Year 7?
Lärkompis has 18 skills in maths in Year 7, for example “Solving equations”; “Patterns in number sequences and geometric patterns”; “Expressions with letters”; “Area, perimeter and circles”; and “Solving problems with logical reasoning and a table”. Each skill has five levels. In “Solving equations”, for example, level 1 is “x + a = b” and level 5 is “Equations with brackets”. The app adjusts the level to how your child is doing.
What comes after Year 7 in maths?
In Year 8, Lärkompis practises 19 skills in maths, and new that year are “Programming and algorithms in a text-based environment”; “Pythagoras’ theorem”; and “Volume and capacity”. Most of it builds on what your child practised in Year 7.
Which mistakes are common in maths in Year 7?
Common mistakes that Lärkompis covers include “Thinks all odd numbers are prime (9, 15, 21)” in “Prime numbers, divisibility and prime factorisation” and “Works from left to right: 3 + 9 · 7 becomes 84” in “Order of operations with brackets and powers”. When an answer is wrong, the app shows how to think it through instead of just marking it wrong, and the parent panel shows what your child is practising right now.
Does Lärkompis follow Lgr22 in maths in Year 7?
Yes. Every exercise in maths in Year 7 is linked to an item in the Lgr22 core content for Years 7–9; 16 of 28 items in maths have at least one linked skill. Lärkompis is a complement at home and does not replace teaching.
How much does it cost to practise maths in Year 7 with Lärkompis?
Lärkompis costs SEK 49, once, for all subjects and every child in the family, with future updates included. You can try maths in Year 7 for free first, without an account.
More years and subjects
The same year in other subjects:
