Maths
Curriculum Intent
Our curriculum intent in Mathematics is to understand the purpose beyond the classroom through the use of engaging and real life problem solving questions and being able to recognise the importance of Mathematics in life and within society. We focus on understanding what students already know and build on their prior knowledge, students focus on understanding the essentials, before extending their learning and going on to achieve excellence.
Our curriculum is designed to give our students the best opportunities in both employment and personal growth by focusing on fluency and reasoning and problem solving. We place a real emphasis on teaching Mathematics from a first principle to allow students to gain a deeper understanding. Most career options require the ability to think logically and quantitatively in order to analyse and solve problems. Throughout our curriculum we place a real emphasis on incorporating these skills into our daily lessons, and ensuring students are assessed on these skills where appropriate allowing students to reflect on their strengths and weaknesses.
We aim to inspire students to become deep, independent and analytical learners which will enable them to have the resilience to solve everyday problems. Mathematics is critical in Science, Technology and Engineering and necessary for the advancement of our future generations. At Grace Academy Coventry we want our students to develop an appreciation of the beauty of Mathematics as well as a sense of enjoyment and curiosity for the subject.
This term, we are studying…
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7 |
Where are sequences seen in real life? What are the properties of a number? What’s the difference between Expressions & Equations? How can we work out percentage of an amount in everyday life? How do we use percentages and fractions in our day to day life? |
Basic calculations are needed as the foundational understanding for students to continue building on. Students will be introduced to the basics of algebra, this will allow students to continue to build on this knowledge throughout their journey at Grace Academy. Students will begin their journey on understanding decimals, fractions and percentages which are important number skills. |
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8 |
How can we use ratio in everyday life? How can we use calculations in everyday life? Where do we use calculations involving Fractions? How can we use sequences in everyday life? How can we use lines in everyday life? How can we use probability in everyday life? |
Students will learn the difference between ratio and proportion and how this can relate to real life scenarios. Students will explore further how to calculate with Fractions, Decimals and Percentages. Students will start to learn how probability and statistics are used to represent data. Students will further delve into linear graphs, exploring gradients and the equation of the straight line. This understanding will allow students to have a solid base for other types of graphs. |
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9 |
How can we use graphs in everyday life? Is Algebra there to make things easy or difficult? How can we use algebra in everyday life? Do I use Angles and Shapes every day in my life? How can we use area in everyday life? |
Students will extend their knowledge on plotting graphs by interpreting and manipulating graphs. Students will use their knowledge of area to calculate volume of prisms and will start to apply their knowledge to real life situations. Students will begin to explore quadratics and how these can be solved within equations and inequalities. |
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10 |
How do we manipulate Expressions and use Functions? What is the difference between Pythagoras theorem and Trigonometry? What is the difference between equations and inequalities? How can we use represent equations using graphs? |
Students will continue to build on their previous knowledge, exploring linear & quadratic sequences and using algebraic skills to manipulate algebra. Students will start to find missing lengths using Pythagoras theorem and begin to explore the use of Trigonometry to find missing angles and side lengths in a right- angled triangle. |
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11 |
How to calculate gradients and understand the relationship between gradients and straight lines on a graph? How to explore graphs that represent non-linear relationships, such as quadratic and exponential functions? How to interpret and analyse various types of graphs to solve real-world problems? How to practice expanding brackets and factorising expressions, key skills in algebraic manipulation? How to rearrange formulas to make different variables the subject of the equation? How to work with mathematical functions, including their notation and application? |
Understanding gradients and straight lines is essential for solving problems related to rates of change, such as velocity, and for interpreting graphs in subjects like physics and economics. These graphs, like quadratic and exponential curves, appear frequently in both real-life and exam scenarios. Mastering them now is key to understanding complex relationships and making predictions. Graph interpretation is a vital skill, not only for mathematics but also for data analysis in subjects like science and geography. Year 11 is a crucial time to solidify this ability for both exams and practical applications. These algebraic skills are necessary for simplifying expressions and solving quadratic equations, which are foundational topics in higher-level mathematics and are tested heavily in exams. This skill allows students to rearrange formulas, an important competency in both maths and sciences. It helps them handle complex equations and prepares them for higher-level algebra. Functions introduce a more formalized way of thinking about relationships between variables, which is key for calculus and advanced topics. Year 11 is the right time to master this as students prepare for further studies in maths or STEM fields. |
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12 |
Algebraic expressions |
The first part of the A level course is a recap of GCSE knowledge. This foundation knowledge is the bread and butter in which A level maths is built upon. This whole term reviews and consolidates those essential number and algebraic topics that are required for future skills. It is important that students learn this well in order for them to progress positively. |
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13 |
Algebraic methods |
This whole term reviews and consolidates the essential number and algebraic topics that are required for future skills. We explore the use of trigonometry in modelling practical real life situations. New rules of differentiation & integration is used to develop algebraic skills further. It is important that students learn this well in order for them to progress positively. |
Qualification information:
GCSE Foundation: https://www.ocr.org.uk/qualifications/gcse/mathematics-j560-from-2015/
GCSE Higher: https://qualifications.pearson.com/en/qualifications/edexcel-gcses/mathematics-2015.html
Curriculum content:
Attached are the curriculum maps which outline the sequence we use in order to structure our learning. If you would like to support your child's learning, we have attached links to Oak National Academy who provide lessons, activities and resources for commonly taught topics. Please use the curriculum map for this subject before visiting:
https://teachers.thenational.academy/subjects/maths/key-stages/key-stage-3
https://teachers.thenational.academy/subjects/maths/key-stages/key-stage-4