Description

At Pass 11 Plus Maths, we understand the importance of mastering mathematical concepts to achieve success in the 11+ exams. Our curriculum is designed to provide students with a strong mathematical foundation, following the rigorous standards of leading examination boards, including IGCSE, OCR, AQA, and Pearson Edexcel.

Our Focus:

Number and Operations: Mastering Core Skills

• Place Value and Rounding: Understanding place value and rounding numbers to the nearest ten, hundred, thousand, etc. This includes recognising significant figures and rounding decimals.
• Addition, Subtraction, Multiplication, and Division: Mastering basic arithmetic operations and their use in solving problems involving whole numbers, fractions, and decimals.
• Fractions: Simplifying fractions, adding and subtracting fractions, multiplying and dividing fractions, and converting between improper fractions and mixed numbers.
• Decimals and Percentages: Converting between fractions, decimals, and percentages. Performing calculations with decimals, including addition, subtraction, multiplication, and division. Solving percentage problems, including percentage increase/decrease and percentage of a number.
• Factors and Multiples: Understanding factors, multiples, prime numbers, greatest common divisors (GCD), and least common multiples (LCM).
• Ratios and Proportions: Solving problems involving ratios and proportions, including scaling, direct and inverse proportions.
• Negative Numbers: Performing arithmetic with negative numbers, including addition, subtraction, multiplication, and division.
• Powers and Roots: Understanding and calculating squares, square roots, cubes, and cube roots, including working with indices.

Algebra: Building a Strong Foundation

• Simplifying Expressions: Simplifying algebraic expressions by collecting like terms and applying the distributive property.
• Solving Linear Equations: Solving one-step, two-step, and multi-step linear equations, including those with variables on both sides.
• Inequalities: Solving and graphing inequalities on a number line, and interpreting solutions to real-life problems.
• Expanding and Factorising: Expanding brackets and factorising algebraic expressions, including factoring quadratic expressions.
• Sequences: Identifying and working with number sequences, including arithmetic sequences and geometric sequences. Understanding the nth term rule.
• Simultaneous Equations: Solving systems of linear equations using substitution or elimination methods.

Geometry: Understanding Shapes and Space

• 2D Shapes: Properties of 2D shapes such as triangles, quadrilaterals, circles, and polygons. Calculating perimeter, area, and angles within shapes.
• 3D Shapes: Understanding properties of 3D shapes, including prisms, cylinders, cones, and spheres. Calculating surface area and volume.
• Angles: Recognising and calculating different types of angles (acute, obtuse, reflex, right angle). Using angle properties of parallel lines, triangles, and polygons. Solving problems involving angles in circles.
• Symmetry: Identifying lines of symmetry and rotational symmetry in 2D and 3D shapes. Understanding reflective symmetry and rotational symmetry.
• Coordinates and Graphs: Plotting coordinates on a Cartesian plane, graphing linear equations, and understanding the relationship between equations and their graphical representations.
• Transformations: Understanding and performing transformations such as translations, reflections, rotations, and dilations (scaling) on 2D shapes.

Measurement: Mastering Units and Conversions

• Units of Measurement: Understanding and converting between different units of length, mass, time, volume, and angles (e.g., millimetres to centimetres, grams to kilograms, minutes to seconds, etc.).
• Perimeter, Area, and Volume: Calculating the perimeter and area of common 2D shapes (e.g., squares, rectangles, circles). Calculating the surface area and volume of common 3D shapes (e.g., cubes, spheres, cylinders).
• Time: Solving problems involving time, including converting between 12-hour and 24-hour formats, calculating time intervals, and working with timetables.

Data and Probability: Analysing Information

• Averages: Calculating mean, median, and mode. Understanding when and why each is used in different situations.
• Data Representation: Interpreting and creating various data representations, including bar charts, histograms, pie charts, line graphs, and frequency tables.
• Probability: Understanding basic probability concepts, including calculating the probability of an event happening (e.g., rolling a die, drawing a card). Working with probability on a scale of 0 to 1.
• Statistics: Analysing and interpreting data sets, understanding measures of central tendency, range, and dispersion.

Problem Solving and Mathematical Reasoning:

• Word Problems: Developing the ability to interpret and solve word problems, applying mathematical reasoning to real-life situations.
• Multi-Step Problems: Solving problems that require a series of steps, including using a variety of mathematical concepts and operations.
• Logical Thinking: Developing skills in logic and reasoning, identifying patterns, and making deductions based on mathematical facts.
• Estimation: Practising estimation skills for quicker, approximate calculations when exact answers aren’t necessary.

Mathematical Techniques and Strategies:

• Mental Arithmetic: Enhancing mental calculation skills, including quick addition, subtraction, multiplication, and division.
• Approximation: Rounding numbers and performing quick approximations to estimate answers for complex problems.
• Timely and Efficient Problem Solving: Encouraging students to manage their time effectively in the exam, practising quick and accurate solutions.

Exam Preparation and Mock Tests:

• Timed Practice: Practising past papers and mock exams under timed conditions to build confidence and improve time management during the exam.
• Marking Schemes and Model Answers: Reviewing marking schemes and model answers to understand how answers are assessed and how to structure responses to maximise marks.
• Exam Techniques: Developing strategies for tackling multiple-choice questions, short-answer questions, and longer, more complex problems in the 11+ maths exam.

Why Choose Pass 11 Plus Maths:

• Experienced Tutors: Our tutors are highly qualified, with years of experience in teaching 11+ Maths and providing personalised support.
• Comprehensive Curriculum: Our curriculum is designed to cover all areas required by leading exam boards (IGCSE, OCR, AQA, Pearson Edexcel) while ensuring students are well-prepared for their 11+ exams.
• Interactive Learning: We use a variety of teaching methods, including problem-solving games, interactive quizzes, and hands-on activities to keep students engaged and make learning enjoyable.
• Regular Assessments: We regularly assess students to monitor their progress, provide detailed feedback, and address any weaknesses.
• Focused Revision Plans: Offering tailored revision plans and techniques for each student, focusing on their strengths and addressing areas for improvement.
• Mock Exams and Feedback: Regular mock exams help students familiarise themselves with exam conditions, while personalised feedback ensures continuous improvement.

Prepare your child for success with Pass 11 Plus Maths. Contact us today to learn more about our tailored programmes.