Patterns, Problems, and Mathematical Thinking
Year 7 Mathematics Discovering patterns and problem-solving strategies 60-minute exploration
Speed Is Not Important
Mathematics is about careful thinking Making connections between ideas Taking time to understand deeply Collaboration and discussion matter
What Makes Someone Great at Maths?
Work in pairs to create a poster Include: Looking for patterns, Creating diagrams, Asking questions Add: Making plans, Explaining work, Checking answers Remember: Taking time and seeking new solutions
Reflection Question
Think about your poster: Which mathematical thinking skill do you use most? Which skill would you like to develop further? Share your thoughts with a partner
Introduction to Hailstone Sequences
One of mathematics' unsolved mysteries! Follow these simple rules: If the number is EVEN: divide by 2 If the number is ODD: multiply by 3, then add 1
Explore Hailstone Sequences
Try starting with number 20: 20 → 10 → 5 → 16 → 8 → 4 → 2 → 1 Choose your own starting number Follow the rules and record your sequence What patterns do you notice?
Sharing Our Discoveries
{"left":"What starting numbers did you try?\nWhat patterns did you notice?","right":"Did any sequences surprise you?\nWhat questions do you have?"}
Reflection and Growth
Mathematics is about exploring, questioning, and discovering patterns in our world