**Year 6 Mathematics Lesson Plan: Advanced Operations**
**Lesson Title:** Advanced Operations
**Duration:** 1 hour
**Learning Objectives:**
1. Understand and apply advanced operations including order of operations (BIDMAS/BODMAS), multiplication of decimals, and division of fractions.
2. Develop critical thinking and problem-solving skills in the context of these operations.
3. Enhance collaborative learning through group activities.
**Curriculum Links:**
- National Curriculum for Mathematics - Year 6: Number - operations and number properties.
**Materials Needed:**
- Whiteboard and markers
- Interactive whiteboard (if available)
- Exercise books
- Printed worksheets
- Calculators
- Manipulatives (fraction tiles, decimal grids, etc.)
**Starter Activity (10 minutes):**
1. **Mental Maths Warm-up:** Quick-fire questions involving simple BIDMAS operations. e.g., 3 + 5 × 2. Discuss the correct sequence of operations.
2. **Recap Previous Learning:** Briefly revisit what BIDMAS/BODMAS stands for and its importance.
**Main Teaching Activity (20 minutes):**
1. **Introduction to Advanced Operations:**
- **Order of Operations (BIDMAS/BODMAS):**
- Write complex expressions on the board (e.g., (8 + 2) × 3² + 4 ÷ 2).
- Work through these step-by-step as a class, explaining each step in detail.
- **Multiplication of Decimals:**
- Demonstrate using decimals (e.g., 1.8 × 2.7).
- Show both long multiplication and a visual method using decimal grids.
- **Division of Fractions:**
- Explain the concept with an example (e.g., \( \frac{3}{4} \div \frac{2}{3}\)).
- Use the 'Keep, Change, Flip' method (Keep the first fraction, change division to multiplication, flip the second fraction) and demonstrate through examples.
**Guided Practice (10 minutes):**
- Provide example problems for each type of operation and solve them together as a class, encouraging student participation and ensuring they follow along in their books.
**Independent Practice (15 minutes):**
- Hand out worksheets with a mix of problems involving BIDMAS/BODMAS, multiplication of decimals, and division of fractions.
- Students to work individually on the problems, whilst the teacher circulates to offer support and answer questions.
**Group Activity (10 minutes):**
- Divide the students into small groups and give each group a challenge problem or puzzle that combines all types of operations learnt.
- Example Challenge: Calculate using advanced operations to solve a real-world problem (e.g., dividing a length of a track into smaller sections, working with time, distance, and speed).
**Plenary (5 minutes):**
- Recap the key concepts learnt today.
- Ask students to explain in their own words the steps they follow for each operation.
- Quick assessment: A couple of spot-check questions on the board to check immediate understanding.
- Homework assignment: A worksheet with similar advanced operations problems for further practice at home.
**Differentiation:**
- **For Higher Attainers:** Provide more complex problems and real-life application tasks.
- **For Lower Attainers:** Simplify the problems initially and provide additional visual aids and guided instruction.
- **For EAL Learners:** Use visual aids, simpler language, and pair with a buddy for support.
**Assessment:**
- Informal assessment through questions and observation during the lesson.
- Review and mark worksheets and homework to assess progress and understanding.
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**Lesson Reflection:**
- What worked well?
- What needs improvement?
- Were the learning objectives met?
- How did the students engage with the material?
**Next Steps:**
- Plan follow-on lessons to reinforce the concepts if necessary.
- Introduce related topics like percentages or more complex word problems involving these operations.