--- title: "Maths and Numeracy Overview" url: "https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy" school: "Bishop Hogarth Catholic Education Trust" --- Admissions Consultation BHCET schools [Click Here](https://bhcet.org.uk/admissions-consultation) # Maths and Numeracy Overview Foundational Knowledge & Skills ## Maths & Numeracy The Maths and Numeracy foundational knowledge framework sets out the essential knowledge and skills pupils should develop across Years 7, 8 and 9. The expectations build progressively so that pupils develop increasing fluency, confidence, independence and the ability to apply mathematical knowledge across the curriculum. The learning journey Foundational Maths and Numeracy knowledge is carefully sequenced across Key Stage 3. Each year builds upon prior learning. Select any expectation below to go directly to the relevant guidance within the Maths and Numeracy Toolkit. Year 7 — Foundations Year 8 — Development Year 9 — Application ### Number #### Year 7 - [Understand and use place value accurately ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y7-place-value) - [Develop fluency with the four operations ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y7-four-operations) - [Complete calculations in the correct order (BIDMAS) ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y7-bidmas) - [Understand and calculate with directed numbers ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y7-directed-numbers) #### Year 8 - [Understand fractions and develop fluency with the four operations with fractions ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y8-fractions) #### Year 9 - [Apply knowledge of number topics in contexts including assessing how reasonable an answer is ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y9-number-in-context) ### Algebra #### Year 7 - [Understand the meaning of substitution ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y7-substitution) - [Write and simplify algebraic sentences ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y7-algebraic-sentences) #### Year 8 - [Re-arrange formulae ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y8-rearrange-formulae) - [Solve equations using inverse operations ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y8-solve-equations) #### Year 9 - [Apply knowledge of algebra topics (including connections with graphs) in contexts including assessing how reasonable an answer is ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y9-algebra-in-context) ### Statistics #### Year 7 - [Accurately draw a range of charts and representations ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y7-charts-representations) - [Understand the importance of totals (mean) ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y7-mean) #### Year 8 - [Use averages and measures of spread to analyse and interpret data ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y8-averages-spread) #### Year 9 - [Present and interpret data and charts accurately ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y9-data-charts) ### Proportion & Rates of Change #### Year 7 - [Understand what is meant by a percentage ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y7-percentage) #### Year 8 - [Learn how to scale up and scale down using multiplicative relationships ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y8-scaling) #### Year 9 - [Understand proportional reasoning ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y9-proportional-reasoning) - [Use the most efficient method to solve a problem ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y9-efficient-method) ### Geometry #### Year 7 - [Understand and apply properties of 2D and 3D shapes ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y7-shape-properties) #### Year 8 - [Understand and apply angle facts ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y8-angle-facts) #### Year 9 - [Reason geometrically ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y9-geometric-reasoning) ### Numerical Communication #### Year 7 - [Show organised working out ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y7-organised-working) #### Year 8 - [Present accurate, ordered working out ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y8-ordered-working) #### Year 9 - [Present a structured, coherent argument with accurate syntax ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y9-structured-argument) ### Calculator Skills #### Year 7 - [Begin to use a calculator successfully ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y7-calculator-basics) #### Year 8 - [Successfully use a calculator, knowing how to check answers are reasonable ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y8-calculator-checking) #### Year 9 - [Develop an understanding of some specific calculator functions ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit#y9-calculator-functions) ### Maths & Numeracy Toolkit The supporting toolkit provides detailed descriptions, cross-curricular examples, teaching models, scaffolding strategies, rehearsal activities and intended outcomes for each expectation. [Explore the full toolkit → ](https://bhcet.org.uk/foundational-knowledge-and-skills/maths-and-numeracy/toolkit) ![Bishop Hogarth Catholic Education Trust](https://files.schudio.com/bishop-hogarth-catholic-education-trust/images/logo/Bishop_Hogarth_and_Hexham_Logo_new_(4).png) ### Bishop Hogarth Catholic Education Trust The Headlands Darlington Co. 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