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Mathematics

 

subject overview

Mathematics can be applied in practical tasks, real-life problems and within mathematics itself. The course aims to develop deep learning through the mastery of mathematical vocabulary, conceptual understanding and mathematical reasoning used to solve a variety of problems.

The course of study should help you whether working individually or collaboratively to reason logically, plan strategies and improve your confidence in solving complex problems. 

During Maths lessons you will learn how to:-

  • Use and apply maths in practical tasks, real life problems and within mathematics itself.
  • Develop and use a range of methods of computation and apply these to a variety of problems.
  • Develop mathematical vocabulary and improve mental calculation.
  • Consider how algebra can be used to model real life situations and solve problems.
  • Explore shape and space through drawing and practical work using a range of materials and a variety of different representations.
  • Use statistical methods to formulate questions about data, represent data and draw conclusions.

Engage in practical and experimental activities in order to appreciate principles of probability.

 

unit overview - numbers and numerals

Unit 1: Numbers and Numerals (4 lessons)

Skills

  • Understand the value of different place value columns in base 10 number systems
  • Understand the multiplicative relationships between different columns in base 10 number systems
  • Recognise and name nine- and ten-digit numbers in base 10
  • Understand a range of notation for quantities of time and time of day
  • Develop a sense of flexible number composition by solving problems involving time of day and quantities of time
  • Have an awareness of different numerical systems and their representation

Knowledge

PRIOR KNOWLEDGE

  • Basic times table knowledge
  • Fact families and relationship between multiplication and division
  • Order of operations
  • Consolidate their numerical and mathematical capability from key

stage 2 and extend their understanding of the number system and

  • Place value to include decimals
  • select and used appropriate calculation strategies to solve increasingly

complex problems

  • Use language and properties precisely to analyse numbers

Rationale

Efficient use of numbers and numeracy skills are essential for everyday life and are a foundation for higher mathematical and critical thinking. Basic numeracy skills are utilised in everyday activities such as handling money, keeping track of time, and managing expenses.

Being able to understand numbers and the significance of those numbers allows us to understand statistics and graphs in the news and media. This allows us to be informed and aware members of the public.

Being able to convert between different units and measures is a valuable skill in measurement, cooking, navigation and currency conversions. Being able to comprehend relative sizes and using these appropriate measures and units is crucial for communicating ideas and findings from data, as well as being a critical skill in engineering and logistics.

Understanding percentage discounts, along with ratios and proportion can help us understand how much we are saving in a purchase and if it is a smart investment. Furthermore, this can be used to calculate correct tax rates, tips and donations.

Understanding different base number systems (along with their benefits and difficulties) allows us to better understand different time keeping systems and the origin of the minute and hour. In addition, binary (base 2) and hexadecimal (base 16) are common number systems used in computer architecture3 and programming, and so have far reaching applications in technology.

knowledge OrganiserS

A knowledge organiser is an important document that lists the important facts that learners should know by the end of a unit of work. It is important that learners can recall these facts easily, so that when they are answering challenging questions in their assessments and GCSE and A-Level exams, they are not wasting precious time in exams focusing on remembering simple facts, but making complex arguments, and calculations.

We encourage all pupils to use them by doing the following:

  • Quiz themselves at home, using the read, write, cover, check method.
  • Practise spelling key vocabulary
  • Further researching people, events and processes most relevant to the unit.

Maths mastery intro

 

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