Overview

This intensive 7-day scheme is tailored for Year 6 pupils preparing for the 11+ Maths exams in England. It follows the National Curriculum for England’s Key Stage 2 programmes of study, focusing on arithmetic, fractions, decimals, percentages, basic algebra, geometry, and problem solving. Each 60-minute lesson includes clear learning objectives aligned with the curriculum, engaging activities, and formative assessments to track progress.

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Day 1: Arithmetic Foundations

National Curriculum Link

Number - Number and Place Value:

• Read, write, order and compare numbers up to 10,000,000
• Round any whole number to a required degree of accuracy
• Count forwards or backwards in steps of powers of 10

Number - Addition, Subtraction, Multiplication and Division:

• Perform mental calculations confidently, including with mixed operations

Learning Objectives

• Secure fluency in place value of large numbers up to 10 million
• Develop efficient methods for addition and subtraction of large numbers
• Practise multiplication and division facts to build speed and accuracy

Activities

1. Starter - Rapid Place Value Challenge (10 mins):

   • Flash cards with large numbers; students write the value of underlined digits aloud.

2. Structured Practice (20 mins):

   • Worksheet with increasingly challenging addition and subtraction sums using column method, including crossing zeroes.
   • Mental multiplication drill: times tables and related division facts.

3. Paired Activity (15 mins):

   • “Number Swap” game: Students write numbers, swap with partner, and solve addition/multiplication questions. Encourage explaining their strategies.

4. Plenary - Spot the Mistake (10 mins):

   • Teacher models deliberate calculation errors. Students identify and explain mistakes.

Assessment

• Mini quiz: 10 mixed arithmetic questions to complete in 10 minutes. Instant feedback provided.
• Teacher observation checklist on mental arithmetic fluency during paired activity.

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Day 2: Fractions Deep Dive

National Curriculum Link

Number - Fractions:

• Use common factors to simplify fractions; use common multiples to express fractions in the same denomination
• Compare and order fractions, including those >1
• Perform addition and subtraction of fractions with different denominators and mixed numbers
• Multiply simple pairs of proper fractions, and divide proper fractions by whole numbers

Learning Objectives

• Simplify fractions and convert between mixed numbers and improper fractions
• Add and subtract fractions with different denominators confidently
• Begin to multiply fractions by whole numbers

Activities

1. Starter - Simplify Sprint (10 mins):

   • Timed exercise: Simplify fractions to simplest form (e.g., 12/16 → 3/4).

2. Guided Learning (20 mins):

   • Visual fraction strips and pie charts to compare and order mixed numbers and improper fractions.
   • Model addition and subtraction of fractions with different denominators using LCM to find common denominators.

3. Hands-On Practice (15 mins):

   • Problem sets including word problems with mixed fractions (e.g., recipe adjustments).

4. Interactive Quiz (10 mins):

   • Using mini whiteboards, pupils answer fraction addition and simplification questions.

Assessment

• Exit ticket: Add and simplify two mixed fractions; teacher marks for accuracy.
• Peer check on order of fractions activity.

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Day 3: Decimals & Percentages

National Curriculum Link

Number - Decimals:

• Read, write, order and compare numbers with up to three decimal places
• Multiply and divide whole numbers and decimals by 10, 100, 1000
• Solve problems involving decimal numbers

Number - Percentages:

• Understand % as 'number of parts per hundred' and convert between fractions, decimals and percentages
• Find percentages of numbers, including non-standard percentages (e.g., 15%)
• Solve percentage problems including those involving increases and decreases

Learning Objectives

• Read and order decimals up to three decimal places
• Calculate percentages of quantities, including using non-standard percentages
• Link decimals, fractions and percentages through conversion exercises

Activities

1. Starter - Decimal Place Value Game (10 mins):

   • “Decimal Detective”: identify the value of digits in decimals up to 3 places.

2. Teaching Input (15 mins):

   • Demonstrate multiplication/division of decimals by 10, 100, 1000 using place value shifts.
   • Model converting fractions to decimals and percentages.

3. Practice Activity (20 mins):

   • Questions on calculating percentages of given amounts (e.g., find 25%, 15%, 40%).
   • Word problems involving percentage increases and decreases (discounts, mark-ups).

4. Plenary - Matching Game (10 mins):

   • Match cards showing fractions, decimals and percentages.

Assessment

• Worksheets graded for accuracy in decimal and percentage calculations.
• Quick-fire oral questions to consolidate conversions.

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Day 4: Intro to Algebra

National Curriculum Link

Number - Algebra:

• Use simple formulae expressed in words
• Generate and describe linear number sequences
• Express missing number problems algebraically

Learning Objectives

• Understand and write simple algebraic expressions and formulae
• Create and interpret linear sequences
• Translate word problems into algebraic equations

Activities

1. Starter - Sequence Spot (10 mins):

   • Identify the rule for number sequences and extend them.

2. Teacher Modelling (15 mins):

   • Introduce simple algebraic notation: use letters to represent numbers.
   • Model writing expressions for word problems (e.g., "a number plus 7").

3. Guided Practice (20 mins):

   • Given sequences, write the nth term expressions.
   • Solve missing number problems using simple equations.

4. Paired Challenge (10 mins):

   • Create own algebraic problems for peers to solve.

Assessment

• Independent short quiz: write expressions from words, find nth term of sequences.
• Observation notes on problem-solving discussions.

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Day 5: Geometry Essentials

National Curriculum Link

Geometry - Properties of Shapes:

• Draw 2-D shapes using given dimensions and angles
• Recognise, describe and build simple 3-D shapes, including nets
• Identify angles (types and measurement) including those at a point, straight lines, and in triangles and quadrilaterals

Learning Objectives

• Draw and measure angles accurately
• Identify shape properties and classify 2D and 3D shapes
• Understand and apply angle rules in polygons

Activities

1. Starter - Angle Hunt (10 mins):

   • Identify and measure angles around the classroom or from images.

2. Hands-On Session (20 mins):

   • Use protractors to draw shapes with specific angles.
   • Explore polygon properties; identify lines of symmetry.

3. 3D Shape Exploration (15 mins):

   • Study nets and build 3D solids from nets.

4. Plenary - Angle Reasoning Questions (10 mins):

   • Find missing angles using knowledge of angle sums in triangles/quadrilaterals.

Assessment

• Worksheet with angle and shape questions marked with detailed feedback.
• Peer quiz in pairs identifying shapes and angle types.

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Day 6: Problem Solving Strategies

National Curriculum Link

Mathematics - Reasoning:

• Solve problems involving number, geometry, statistics
• Choose appropriate methods and strategies (trial and improvement, working backwards)

Learning Objectives

• Apply arithmetic and number facts to solve multi-step word problems
• Develop strategies for tackling unfamiliar problem types
• Explain reasoning systematically

Activities

1. Starter - Problem of the Day (10 mins):

   • Present a challenging 11+ style problem to discuss possible strategies.

2. Strategy Workshop (20 mins):

   • Teach trial-and-improvement, working backwards and systematic listing with examples.

3. Group Work (20 mins):

   • In small groups, solve 3 varied problems applying taught strategies. Present solutions.

4. Class Discussion (10 mins):

   • Compare different solution approaches and discuss efficiency.

Assessment

• Mark group answers using a reasoning checklist.
• Short individual reflection journal entry: “Which strategy helped me most and why?”

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Day 7: Consolidation & Mock Test

National Curriculum Link

Consolidates all prior learning from KS2 Number, Algebra, Geometry, and Reasoning programmes of study.

Learning Objectives

• Demonstrate understanding and application of key Year 6 mathematics concepts for 11+ readiness
• Build exam stamina and time management skills

Activities

1. Starter - Quick Review (10 mins):

   • Rapid-fire quiz on key facts from previous 6 days.

2. Mock Test (40 mins):

   • Timed paper of 30 questions covering arithmetic, fractions, decimals, percentages, algebra, geometry, and problem solving at 11+ level.

3. Self-Assessment & Target Setting (10 mins):

   • Mark answers with teacher support.
   • Identify strengths and areas for improvement; set personal goals.

Assessment

• Full mock test marked using standardised 11+ marking criteria.
• Teacher-led feedback focusing on exam techniques and conceptual accuracy.

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Additional Teacher Notes

• Differentiation: Provide scaffolded worksheets or extension challenges to cater for varying abilities within the class.
• Resources Needed: Flashcards, protractors, fraction strips, dice or number cards, whiteboards, printed worksheets, mini whiteboards, calculators for checking only (no calculator use in tests).
• Cross-Curricular Links:
  • Use real-life word problems linked to science (e.g., measurements in experiments) or geography (e.g., percentages related to population data).
• Use of Technology: Where possible, include interactive whiteboard challenges, online timers for drills, or digital quizzes to boost engagement.
• Assessment Records: Maintain ongoing assessment tracker to monitor progress towards National Curriculum expectations and 11+ readiness.

This comprehensive approach will equip pupils with a confident foundation to excel in their 11+ Maths exams, aligned firmly with National Curriculum expectations for Year 6.