Maths · Year 9

Maths in Year 9: what Lärkompis practises

In Year 9 of Swedish school (around age 15), Lärkompis practises 7 skills in maths, linked to 10 of 28 items in the core content of Lgr22, the Swedish national curriculum, for Years 7–9. The areas are geometry; problem solving; relationships and change; and probability and statistics. Each skill has five difficulty levels, and the skills are practised in 5 mini-games, including Rätta roboten (Fix the Robot), Butiken (The Shop) and Detektiven (The Detective).

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 9, this means that 6 skills start this year and 1 skill started earlier and is still being practised. The figure 10 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 9

The 7 skills in maths in Year 9 are grouped into 4 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.

Geometry

Maths, Year 9: 1 skill, linked to 2 of 5 items in the core content for Years 7–9.

  • Scale, similarity and congruence Level 1: Find the scale factor. Level 5: Congruent or similar.

Problem solving

Maths, Year 9: 2 skills, linked to 2 of 3 items in the core content for Years 7–9.

  • Solving problems with logical reasoning and a table (already starts in Year 7) Level 1: Four people: “not” and “neither ... nor”. Level 5: Five clues of every kind.
  • Asking maths questions about different situations Level 1: What is the task asking? Three choices. Level 5: Which question can be answered, with percentages.

Relationships and change

Maths, Year 9: 3 skills, linked to 2 of 5 items in the core content for Years 7–9.

  • Where lines cross Level 1: A line and a horizontal line. Level 5: Comparing two pricing plans in a real situation.
  • Multipliers for percentage change Level 1: The multiplier for an increase, for example 1.12. Level 5: Mixed tasks with multipliers.
  • Interest and growth Level 1: Simple interest for one year. Level 5: Growth over three years, and contexts such as bacteria.

Probability and statistics

Maths, Year 9: 1 skill, linked to 1 of 4 items in the core content for Years 7–9.

  • How many ways Level 1: Two choices combined. Level 5: Handshakes and medals.

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 9. Read the full text in Skolverket's English translation of Lgr22.

  • 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 9

Year 9 ends compulsory school with final grades and national tests. What did not stick in earlier years can still be caught up: revise what is new to your child in small steps, and talk about how to plan the test weeks. 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 9

  • Where lines cross: Your child sets the two expressions equal to each other.
  • Multipliers for percentage change: Your child divides by the multiplier to work backwards.
  • Interest and growth: Your child can tell simple interest and compound interest apart.
  • How many ways: Your child multiplies the number of choices at each step.

Common pitfalls in Year 9

  • Interest and growth: Thinks the growth is the same amount every year.
  • How many ways: Counts each handshake twice.
  • Solving problems with logical reasoning and a table: Draws conclusions from one clue at a time without combining them.
  • Scale, similarity and congruence: Multiplies the area by the scale factor instead of the scale factor squared.

If maths practice in Year 9 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 9 maths, Lärkompis uses 5 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 9, the game practises 5 skills: asking maths questions about different situations; where lines cross; multipliers for percentage change; interest and growth; and more.

Butiken (The Shop)

Your child pays, gets change and compares prices with real coins. In Year 9, the game practises 2 skills: multipliers for percentage change; and interest and growth.

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 9, the game practises 1 skill: solving problems with logical reasoning and a table.

Formpusslet (Shape Puzzle)

A shape puzzle where the pieces are the skill: from pictures made of simple shapes to areas and Pythagoras’ theorem. In Year 9, the game practises 1 skill: scale, similarity and congruence.

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 9, the game practises 1 skill: scale, similarity and congruence.

Questions about maths in Year 9

What does Lärkompis practise in maths in Year 9?

Lärkompis has 7 skills in maths in Year 9, for example “Scale, similarity and congruence”; “Solving problems with logical reasoning and a table”; “Asking maths questions about different situations”; “Where lines cross”; and “Multipliers for percentage change”. Each skill has five levels. In “Scale, similarity and congruence”, for example, level 1 is “Find the scale factor” and level 5 is “Congruent or similar”. The app adjusts the level to how your child is doing.

What is expected in maths in Year 9 by the end of the year?

Skolverket's criteria at the end of Year 9 say, in plain words: your child uses concepts and relationships with satisfactory confidence, chooses and uses methods that mostly work for routine tasks and for problems, and puts forward simple reasoning about solutions. Lärkompis does not replace the teacher's assessment, but it shows you which skills your child is practising in Year 9.

Which mistakes are common in maths in Year 9?

Common mistakes that Lärkompis covers include “Thinks the growth is the same amount every year” in “Interest and growth” and “Counts each handshake twice” in “How many ways”. 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 9?

Yes. Every exercise in maths in Year 9 is linked to an item in the Lgr22 core content for Years 7–9; 10 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 9 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 9 for free first, without an account.

More years and subjects

The same year in other subjects: