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It explains how short, accessible tests adapt challenge level and provide personalised learning, next steps, and targeted corrective instruction. 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All rights reserved.  \n| Table of Contents | |\n| --- | --- |\n| 2 Overview and Rationale 3 Concept Map and Key Features 4 A1 Addition as bars 4 A2 Identity element for addition 5 A3 Multiplication as repeated addition 5 A4 Identity element for multiplication 6 A5 Function machines 7 A6 Reciprocal fractions 8 A7 Powers as repeated multiplication 9 A8 Additive inverse 10 A9 Addition as the inverse of subtraction 11 A10 Multiplicative inverse 12 A11 Multiplication as the inverse of division 13 A12 Addition/subtraction with negative numbers 14 A13 Multiplication/division with negative numbers 15 A14 Inverse operations 16 A15 Multiplication as area 17 A16 Equivalence 18 A17 Commutativity of addition 19 A18 Commutativity of multiplication 20 A19 Distributivity with single brackets 21 A20 Distributivity with double brackets 22 A21 Order of operations (no powers) 23 A22 Collecting terms 23 A23 Substitution 24 A24 Forming expressions 25 A25 Order of operations with powers 26 A26 Writing equations 27 A27 Solving equations (x on one side) 28 A28 Expand and simplify with single brackets 29 A29 Solving equations (x on both sides) 30 A30 Solving equations (x on both sides and expand brackets) 31 A31 Expand and simplify with double brackets 31 Contributors |  |\n| 1 | |\n\n| Overview | |\n| --- | --- |\n| Stride is a new offering from AQA which is designed to empower students and quickly identify and close their knowledge gaps in mathematics. Designed to help students starting their GCSEs – either for the first time or as a resit – the tests are accessible for all and adapt to students’ knowledge, delivering the right amount of challenge.\u003Cbr>Our new maths tests will allow teachers to pinpoint gaps in their students’ conceptual knowledge-saving them time and empowering students, who will understand how to improve. They’re fully funded for schools and colleges, easy to use for teachers and engaging for students.\u003Cbr>The five short tests, created with the Key Stage 1 and 2 and Key Stage 3 guidance in mind, focus on key areas of maths that experts have identified as the most impactful for GCSE success. They come with personalised learning and next steps to allow students to develop in both knowledge and confidence.\u003Cbr>Rationale\u003Cbr>We know that maths is a hierarchical subject, with knowledge being built upon foundational maths which underpins the new concept. We have analysed data from hundreds of thousands of exam questions and found that even though content is first encountered in the early stages of a learner’s schooling, a significant proportion of learners answer questions on the foundations of maths incorrectly.\u003Cbr>With this in mind, we want to empower teachers to take control of their classrooms and provide a nurturing environment in which gaps within key prerequisite understanding are identified and corrective instruction is deployed, filling the gaps and ensuring that more complex content can be taught, safe in the knowledge that learners have the underlying knowledge required to be successful in their lessons, and thrive in the GCSE examinations.\u003Cbr>Key features\u003Cbr>The Concept Map for Algebra, shown on the following page, identifies A21 Order of Operations as key understanding for success with algebraic techniques, particularly with A27 Solving Equations where the variable appears on one side of the equals sign only.\u003Cbr>Order of Operations has many predecessors which can be summarised as the four mathematical operations, and it is clear that to succeed in Algebra, learners must have developed significant expertise with addition, subtraction, multiplication and division, appreciating the many relationships that exist between the four operations. |  |\n| 2 | |\n\nConcept Map  \n2. Algebra  \n3  \n| A1 Addition as bars\u003Cbr>What is being tested Learners are being tested on their understanding of collecting separate groups to form a singl","cbCaiqAriKIxyDjN","https://ap.wps.com/l/cbCaiqAriKIxyDjN","pdf",1260391,33,"English","# Overview and Rationale\n# Concept Map and Key Features\n## A1 Addition as bars\n## A2 Identity element for addition\n## A3 Multiplication as repeated addition\n## A4 Identity element for multiplication\n## A5 Function machines\n## A6 Reciprocal fractions\n## A7 Powers as repeated multiplication\n## A8 Additive inverse\n## A9 Addition as the inverse of subtraction\n## A10 Multiplicative inverse\n## A11 Multiplication as the inverse of division\n## A12 Addition/subtraction with negative numbers\n## A13 Multiplication/division with negative numbers\n## A14 Inverse operations\n## A15 Multiplication as area\n## A16 Equivalence\n## A17 Commutativity of addition\n## A18 Commutativity of multiplication\n## A19 Distributivity with single brackets\n## A20 Distributivity with double brackets\n## A21 Order of operations (no powers)\n## A22 Collecting terms\n## A23 Substitution\n## A24 Forming expressions\n## A25 Order of operations with powers\n## A26 Writing equations\n## A27 Solving equations (x on one side)\n## A28 Expand and simplify with single brackets\n## A29 Solving equations (x on both sides)\n## A30 Solving equations (x on both sides and expand brackets)\n## A31 Expand and simplify with double brackets","[{\"question\":\"What is the purpose of the STRIDE Teacher Companion Guide for Algebra?\",\"answer\":\"It supports teachers in identifying students’ conceptual knowledge gaps in algebra and directing corrective instruction to help learners progress confidently through GCSE content.\"},{\"question\":\"How do the algebra tests help pinpoint learning gaps?\",\"answer\":\"The short tests are accessible and adapt to a student’s knowledge, enabling teachers to pinpoint weaknesses and provide personalised learning and next steps.\"},{\"question\":\"Which algebra ideas does the concept map emphasise for success?\",\"answer\":\"It highlights order of operations as a key understanding, alongside foundational relationships between addition, subtraction, multiplication, and division, especially for solving equations.\"}]","Stride into the Future of Assessment - Teacher Companion Guide - Algebra | PDF",1792467360,83]