What you'll learn
- What a letter means in algebra, and why 3n means 3 × n
- How to substitute a value into a formula like 2n + 5
- How to find and describe the term-to-term rule of a sequence
- How to solve one- and two-step equations using inverse operations
- How to find every pair of numbers that fits a + b = 10
- How to list and count all combinations of two variables
Chapter by chapter
- Using simple formulae like 3n and 2n + 5 Free to try
Year 6 maths · 1
- Continuing and describing linear number sequences
Year 6 maths · 2
- Writing and solving missing-number problems with letters
Year 6 maths · 3
- Finding pairs of numbers that fit an equation with two unknowns
Year 6 maths · 4
- Listing all combinations of two variables
Year 6 maths · 5 Year 6 maths · 4
- Summit Tower Challenge: mixed algebra quiz (10 questions) (10 questions)
See every Maths chapter in the chapter library
What the chapters cover in the national curriculum in England:
- Year 6 maths: Use simple formulae
- Year 6 maths: Generate and describe linear number sequences
- Year 6 maths: Express missing number problems algebraically
- Year 6 maths: Find pairs of numbers that satisfy an equation with 2 unknowns
- Year 6 maths: Enumerate possibilities of combinations of 2 variables
About this adventure
Algebra Island is an interactive maths game that teaches children aged 10–11 the first steps in algebra from the Year 6 national curriculum: using formulae, continuing sequences and solving missing-number problems with letters. Pip the parrot guides players around an island, where each place teaches a different skill.
Players feed number crates into a formula machine to see how 3n means 3 × n. They help a frog hop along stepping stones to find the term-to-term rule of a sequence, and keep a balance scale level to solve equations like 2b + 3 = 11 using inverse operations. They also move coins between two treasure chests to find pairs that fit a + b = 10, and build every possible ice cream to list combinations without missing any.
A hint pops up after a wrong answer, and a second wrong try shows the answer with its working. A 10-question challenge at Summit Tower tests every skill.
Questions and answers
What is algebra, in simple words?
Algebra is maths where letters stand for numbers we don't know yet or numbers that can change. For example, in n + 4 = 10 the letter n stands for 6, and in the formula 3n the letter can be any number.
What does 3n mean in algebra?
3n means 3 × n, because algebra leaves out the multiplication sign. If n = 5, then 3n is 15, not 35. Writing the digits side by side is one of the most common mistakes children make.
How do you solve an equation like 2b + 3 = 11?
Use inverse operations, undoing the steps in reverse order. Take away 3 from both sides to get 2b = 8, then divide by 2 to get b = 4.
What age is this algebra game for?
The game is designed for children aged 10–11 in Year 6, where algebra first appears in the national curriculum. A short optional warm-up recaps inverse operations and the order of operations for anyone who needs a refresher.
What does the Algebra Island game include and how long does it take?
The game has five chapters, an optional warm-up and a 10-question challenge, and takes about an hour to play everything. Each chapter opens with an animated introduction, has hands-on activities and ends with a five-question practice round.
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