Mathematics

Year 7

 

Units Taught 

Algebraic Thinking 

1. Sequences  

 

2. Algebraic Notation  

 

3. Equality and Equivalence 

Place Value and Proportion 

4. Place Value and Ordering Numbers 

 

5. FDP equivalence  

Applications of Numbers 

6. Solving Problems with Addition/Subtraction 

 

7. Solving Problems with Multiplication/Division 

 

8. Fractions and Percentages of Amounts 

Directed Number/Fractional Thinking 

9. Operations and Equations with Directed Numbers 

 

10. Addition and Subtraction of Fractions 

Lines and Angles 1 

11. Constructing, Measuring and Using Geometric Notation 

 

12. Developing Geometric Reasoning 

Reasoning with Number 

13. Developing Number Sense 

 

14. Sets and Probability 

 

15. Prime Numbers and Proof 

 

  

Main skills developed 

In Year 7 we aim to ensure that all pupils: 

  • become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. 
  • reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language 
  • can solve problems by applying their mathematics to a variety of routine and nonroutine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. 

  

How can parents help to support learning? 

  • Ensure that your child comes to school equipped with at least, a pen, pencil, ruler and a scientific calculator. These can be bought from the library using ParentPay. 
  • Encourage the need to complete homework in a timely manner – your child a Sparx Maths task once per week 
  • Encourage the need for revision in order to consolidate the topics taught – your child will have received a Maths revision guide/workbook and can be working through this at home for extra practice. 

  

Useful websites 

  

If you have any queries or questions please do not hesitate to contact the head of department, Mr Bush. 

    

SMSC and British Values 

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. Mathematics therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject. 

   

Year 8

 

Units Taught

Proportional Reasoning 

1. Ratio and Scale 

 

2. Multiplicative Change 

 

3. Multiplying & Dividing Fractions 

Representations 

4. Working in the Cartesian Plane 

 

5. Representing Data 

 

6. Tables and Probability 

Algebraic Techniques 

7. Brackets, Equations and Inequalities 

 

8. Sequences 

 

9. Indices 

Developing Number 

10. Fractions and Percentages 

 

11. Standard Index Form 

 

12. Number Sense 

Developing Geometry 

13. Angles in parallel Lines and Polygons 

 

14. Area of Trapezia and Circles 

 

15. Line Symmetry and Reflection 

Reasoning with Data 

16. The Data Handling Cycle 

 

17. Measures of Location 

 

  

Main Skills developed 

In Year 8 we aim to ensure that all pupils: 

  • become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. 
  • reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language 
  • can solve problems by applying their mathematics to a variety of routine and nonroutine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. 

 

How can parents help to support learning? 

  • Ensure that your child comes to school equipped with at least, a pen, pencil, ruler and a scientific calculator. These can be bought from the library using ParentPay. 
  • Encourage the need to complete homework in a timely manner – your child a Sparx Maths task once per week 
  • Encourage the need for revision in order to consolidate the topics taught – your child will have received a Maths revision guide/workbook and can be working through this at home for extra practice. 

  

Useful websites 

 If you have any queries or questions please do not hesitate to contact the head of department, Mr Bush. 

  

SMSC and British Values 

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. Mathematics therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject. 

 

Year 9

Units Covered 

Reasoning with Algebra 

1. Straight line graphs 

 

2. Forming and solving equations 

 

3. Testing Conjectures 

Constructing in 2 and 3 dimensions 

4. Three-dimensional shapes 

 

5. Constructions and Congruency 

Reasoning with Number 

6. Numbers 

 

7. Using percentages 

 

8. Maths and Money 

Reasoning with Geometry 

9. Deduction 

 

10. Rotation and Translation 

 

11. Pythagoras 

Reasoning with Proportion 

12. Enlargement and Similarity 

 

13. Solving ratio and proportion problems 

 

14. Rates 

Representations 

15. Probability 

 

16. Algebraic representation 

 

  

Main Skills developed 

In Year 9 we aim to ensure that all pupils: 

  • become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. 
  • reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language 
  • can solve problems by applying their mathematics to a variety of routine and nonroutine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. 

   

How can parents help to support learning? 

  • Ensure that your child comes to school equipped with at least, a pen, pencil, ruler and a scientific calculator. These can be bought from the library using ParentPay. 
  • Encourage the need to complete homework in a timely manner – your child a Sparx Maths task once per week.
  • Encourage the need for revision in order to consolidate the topics taught – your child will have received a Maths revision guide/workbook and can be working through this at home for extra practice. 

  

Useful websites 

  

If you have any queries or questions please do not hesitate to contact the head of department, Mr Bush. 

  

SMSC and British Values   

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. Mathematics therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject 

 

Year 10

 

Units Covered 

 

Similarity 

1. Congruence Similarity and Enlargement 

 

2. Trigonometry 

Developing Algebra 

3. Representing solutions of equations & inequalities 

 

4. Simultaneous Equations 

Geometry 

5. Angles and Bearings 

 

6. Working with circles 

 

7. Vectors 

Proportions and Proportional Change 

8. Ratios & Fractions 

 

9. Percentages & Interest 

 

10. Probability 

Delving into data 

11. Collecting, representing and interpreting data 

Using Number 

12. Non-calculator methods 

 

13. Types of number sequences 

 

14. Indices & Roots 

Expressions 

15. Manipulating Expressions 

 

 Main Skills developed 

Whether eventually taking the Foundation or Higher GCSE examination, students will become fluent in the fundamentals of mathematics, through varied and frequent practice with increasingly complex problems over time. Subsequently students will develop their conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. They will reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language. Students will be given opportunities to show they can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. 

  

How can parents help to support learning? 

  • Ensure that your child comes to school equipped with at least, a pen, pencil, ruler and a scientific calculator. These can be bought from the library using ParentPay. 
  • Encourage the need to complete homework in a timely manner – your child a Sparx Maths task once per week 
  • Encourage the need for revision in order to consolidate the topics taught – your child will have received a Maths revision guide/workbook and can be working through this at home for extra practice. 

  

Useful websites 

  

If you have any queries or questions please do not hesitate to contact the head of department, Mr Bush. 

  

SMSC and British Values 

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. Mathematics therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject. 

   

Year 11

 

Units Covered 

Foundation 

Fractions, Indices and Standard Form; Congruence, Similarity and Vectors; Algebra; Problem Solving. 

Higher 

Vectors and Geometric Proof; Proportions and Graphs; Problem Solving. 

 Once the course is completed students will begin 

    

Skills developed 

Whether eventually taking the Foundation or Higher GCSE examination, students will become fluent in the fundamentals of mathematics, through varied and frequent practice with increasingly complex problems over time. Subsequently students will develop their conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. They will reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language. Students will be given opportunities to show they can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions. 

    

How can parents help to support learning? 

  • Ensure that your child comes to school equipped with at least, a pen, pencil, ruler and a scientific calculator. These can be bought from the library using ParentPay. 
  • Encourage the need to complete homework in a timely manner – your child a Sparx Maths task once per week 
  • Encourage the need for revision in order to consolidate the topics taught – your child will have received a Maths revision guide/workbook and can be working through this at home for extra practice. 

  

Useful websites 

www.sparxmaths.uk (your child will have their own login for this) 

www.corbettmaths.com 

www.bbc.com/bitesize 

  

If you have any queries or questions please do not hesitate to contact the head of department, Mr Bush. 

  

SMSC and British Values 

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. Mathematics therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject. 

 

 

Year 12

 

Units taught:  

A-Level Mathematics 

Pure: Quadratic functions, Coordinate geometry, logarithms, trigonometric functions, Introduction to calculus 

Mechanics: Introduction to kinematics, motion with constant acceleration, force and motion 

Statistics: Probability, Statistical hypothesis testing 

  

A-Level Further Mathematics 

Pure: Complex numbers, Hyperbolic functions, Polar coordinates, Matrices 

Mechanics: Work, energy and power, Momentum and collisions, Circular motion 

Statistics: Poisson distribution, Chi-squared tests, Continuous distributions, Further hypothesis testing 

  

Level 3 Mathematics Studies (Core Maths) 

Estimation 

Personal Finance 

Data Analysis 

Probability 

Expectation and Expected Value 

Confidence intervals  

 

Year 13

 

Units taught: 

A-Level Mathematics 

Pure: Functions, Further transformations of graphs, Sequences and series, Radian measure, Further differentiation, Further integration techniques, Differential equations 

Mechanics: Projectiles, Motion with constant acceleration, Forces in context 

Statistics: Probability, Statistical hypothesis testing 

  

A-Level Further Mathematics 

Pure: Complex numbers, Hyperbolic functions, Polar coordinates, Matrices 

Mechanics: Work, energy and power, Momentum and collisions, Circular motion 

Statistics: Cumulative distribution functions, Hypothesis testing with t-tests, Confidence intervals 

  

  

Main Skills Developed (A-Level Mathematics and Further Mathematics) 

Mathematics underpins everything we do in modern society. It develops problem solving, reasoning and analytical skills, which lead into applications in the scientific, mechanical and financial worlds. The course prepares you for further study not only in Mathematics and Accountancy, but leads into sciences, Medicine, Business and Economics. We build on the GCSE course and study many new areas including proof, calculus, mechanics and statistics. 

  

Main Skills Developed (Core Maths) 

Level 3 Mathematical Studies (Core Maths) is a qualification designed for students who have achieved a grade 4 or above at GCSE.  Core Maths has the same number of UCAS tariff points as an AS level qualification and is studied in a single year at Trinity Academy. 

Studying Core Maths helps students develop their quantitative and problem-solving skills. This is valuable preparation for the quantitative skills they will need for many degree courses, particularly subjects such as psychology, geography, business-related courses, sports and social sciences, and natural science courses that do not require AS/A-Level Mathematics. 

  

How can parents help to support learning? 

 Homework is usually set after every lesson so parents can help organising workload and ensuring work is completed in good time. Students are expected to ask staff for help if they unable to complete or need help with finishing homework before the deadline. 

Students receive a monthly test on everything taught up to that point in the course. Regularly revising course content will help with these tests.                                                                                                                                                                     

SMSC and British Values 

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. Mathematics therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject. It is a global language that not only spans land mass but cultures throughout history from the Ancient Babylonians, Ancient Chinese, Ancient Greeks and Persia.