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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 5 A2 Identity element for addition 6 A3 Multiplication as repeated addition 7 A4 Identity element for multiplication 8 A5 Function machines 9 A6 Reciprocal fractions 10 A7 Powers as repeated multiplication 11 A8 Additive inverse 12 A9 Addition as the inverse of subtraction 13 A10 Multiplicative inverse 14 A11 Multiplication as the inverse of division 15 A12 Addition/subtraction with negative numbers 16 A13 Multiplication/division with negative numbers 17 A14 Inverse operations 18 A15 Multiplication as area 19 A16 Equivalence 20 A17 Commutativity of addition 21 A18 Commutativity of multiplication 22 A19 Distributivity with single brackets 23 A20 Distributivity with double brackets 24 A21 Order of operations (no powers) 25 A22 Collecting terms 26 A23 Substitution 27 A24 Forming expressions 28 A25 Order of operations with powers 29 A26 Writing equations 30 A27 Solving equations (x on one side) 31 A28 Expand and simplify with single brackets 32 A29 Solving equations (x on both sides) 33 A30 Solving equations (x on both sides and expand brackets) 34 A31 Expand and simplify with double brackets 34 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 sin","cbCaiainE9wh5mzo","https://ap.wps.com/l/cbCaiainE9wh5mzo","pdf",1287883,36,"English","# Overview and Rationale\n## Key features\n# Concept Map and Key Features\n## A1 Addition as bars\n## A2 Identity element for addition\n## A3 Multiplication as repeated addition","[{\"question\":\"What is the purpose of the Stride offering in GCSE mathematics?\",\"answer\":\"Stride is designed to empower students and quickly identify and close knowledge gaps in mathematics by using short tests that adapt to learners’ knowledge and deliver appropriate challenge.\"},{\"question\":\"How does the Algebra concept map relate to student success?\",\"answer\":\"The Concept Map for Algebra highlights key understandings needed for success with algebraic techniques, especially the link to solving equations where the variable appears on one side of the equals sign only.\"},{\"question\":\"What prerequisite knowledge does success in Algebra depend on?\",\"answer\":\"To succeed in Algebra, learners need significant expertise with addition, subtraction, multiplication, and division, understanding the relationships between the four operations.\"}]","Stride into the Future of Assessment - Teacher Companion Guide - Algebra | PDF",1792465091,91]