Maths Models Solving Real World Problems
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Maths Models Solving Real World Problems
Year 5 Mathematics Exploring Mathematical Modelling ACARA v9 Curriculum
WALT - We Are Learning To
Use mathematical models to solve real-world problems Create simple equations from everyday situations Explain how maths connects to our daily lives Work collaboratively to find mathematical solutions
Success Criteria - How We Know We've Succeeded
I can identify a real-world problem that needs maths I can choose the right mathematical operation I can create a simple equation or model I can explain my thinking to others I can check if my answer makes sense
What Problems Do You Face Every Day?
Think about your morning routine What about planning your pocket money? How do you share things fairly? When do you need to measure or count?
What is Mathematical Modelling?
Using maths to represent real situations Like creating a mini-version of a problem Helps us understand and solve problems Makes complex things simpler to work with
I DO: Teacher Modelling - The Pizza Party Problem
Problem: 24 students, pizzas cut into 8 slices How many pizzas do we need? Let me show you my thinking process Watch how I create a mathematical model
The Mathematical Modelling Process
1. Understand the real problem 2. Identify what maths we need 3. Create our mathematical model 4. Solve using maths 5. Check if our answer makes sense
WE DO: Guided Practice - The School Fair Stall
Problem: Selling drinks at 50¢ each We want to make $30 profit How many drinks must we sell? Let's solve this together!
Different Types of Real-World Problems
{"left":"Money problems - shopping, saving, budgeting\nTime problems - scheduling, planning events","right":"Measurement problems - cooking, building, sports\nSharing problems - dividing fairly, ratios"}
YOU DO: Independent Practice - Choose Your Challenge
🌟 BASIC: Plan a class picnic for 20 students ⭐ MEDIUM: Design a bedroom within a budget 🚀 EXTENSION: Create a school timetable Work in pairs, show your mathematical thinking
Differentiation Strategies for All Learners
Visual learners: Use diagrams and pictures Kinesthetic learners: Use manipulatives and movement Struggling learners: Start with smaller numbers Advanced learners: Add extra constraints or variables Support available: Teacher assistance, peer buddies
Reflection Time - How Did We Use Maths?
What mathematical operations did you use? How did your model help solve the problem? What would you do differently next time? Where else could you use this process?