Design complete maths lesson sequences in minutes
- AI-powered aligned to Australian Curriculum V9
- 5 components: Hook, Anchor, Teaching, Variation, Consolidation
- Non-routine problems that build genuine thinking
3 free sequences, then $10/month unlimited
What You'll Get
- Curiosity Hook - Capture attention with provocations that spark wonder
- Anchor Problem - Rich, non-routine challenge with multiple entry points
- Explicit Teaching - Key mathematical concepts and strategies
- Variation - Extend and deepen understanding through connected problems
- Consolidation - Practice and application to build fluency
The Architecture of Problem Solving
Think of problem solving like designing a building. The structure is the kind of problem. The tools are the heuristics. The blueprint is metacognition.
- 7 Problem Structures that shape the thinking required
- Heuristics (3Rs) - Representing, Reasoning, Regulating
- Metacognition that guides strategy choice
The 3Rs Heuristics
Problem of the Week
A free non-routine maths problem every week. Students share solutions and learn from each other's thinking strategies.
- Weekly challenges for all year levels
- Solution sharing to learn different approaches
- Browse the archive of past problems
Problem 2, 15/6/2025
hard
"Four people need to cross a narrow, rickety bridge at night. They have one to..."
Weekly Problem Challenge
A free non-routine maths problem every week for your students
The bridge crossing problem
Each person takes a different amount of time to cross:
Person A: 1 minute
Person B: 2 minutes
Person C: 5 minutes
Person D: 10 minutes
What is the fastest time for all four people to get across the bridge?
Constraints:
The torch must be carried on each crossing.
No more than two people can be on the bridge at a time.
When two people cross together, they move at the pace of the slower person.
Get everyone across the bridge in the least amount of time possible.
Enabling Prompts
For students who need help getting started:
- Try with just 2 people crossing the bridge first. How would you get them across?
- Use counters or drawings to represent the 4 people. Move them to show each crossing.
Extending Prompts
For students ready to go deeper:
- What if there were 5 people with different crossing times? What would be the fastest way?
- Is there a pattern you can use to solve this for any number of people?
Problem Archive
Browse our collection of past weekly challenges with student solutions
Filter by Structure
The bridge crossing problem
Each person takes a different amount of...
Food Truck Festival Challenge
Truck A can serve a full lunch to 160 people in 4 hours.
Truck B can serve the same number of people in 2.5 hours.
If they work together (at full speed), how long will it take them to serve 160 people?
Stretch my...
Teaching Insights
Explore our blog for tips, tricks, and educational insights to help you become a better problem solver. Learn from experienced mathematicians and educators.
- Expert teaching strategies
- Problem-solving techniques
- Curriculum connections
"These weekly challenges have transformed how my students approach mathematics. They're now excited about problem-solving and actively share their different strategies."
Have a Problem to Share?
Submit your own mathematics problem and it might be featured as a future weekly challenge!
Ready to transform your maths lessons?
Design complete problem sequences aligned to Australian Curriculum V9 in minutes.