This lesson is designed to help GCSE pupils learn about solving quadratic equations with the coefficient of the x squared term being greater than 1. This is a complete lesson that includes a wealth of resources whilst maintaining a high standard of work. The lesson is suitable for all abilities and offers both accessibility and challenge. This resource goes back through factorising. The method taught in this lesson is splitting the equation in half. The lesson offers plenty of time for AfL and for the students to reflect. Exam questions, cross topic exposure and problem solvers also included. Lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Lesson plan (QTS and NQT ready) Discussion task Definitions and examples AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Cross-topic exposure Problem solvers -one topic based, one random. Plenary - Mathematical reasoning FUSE Reasonings Paper-less lesson Please review and follow

This bundle of lessons is designed to help GCSE pupils learn about power and roots. This is a complete unit of work with lessons, worksheets, homeworks. Each lesson includes a wealth of resources whilst maintaining a high standard of work. The lessons are suitable for all abilities and offers both accessibility and challenge. Bundle includes Lesson 1 - Indices, roots and reciprocals Lesson 2 - Index laws (numbers) Lesson 3 - Negative fractional indices Lesson 4 - Writing standard form Lesson 5 - Adding, subtracting, multiplying and dividing standard form Lesson 6 - Introduction to surds Lesson 7 - Simplifying surds Lesson 8 - Rationalising the denominator Lesson 9 - Rationalising the denominator ( Binomials as denominators) Homework 1 - Indices, roots, reciprocals and index laws Homework 2 - Negative fractional indices Homework 3 - Standard form Homework 4 - Surds Each Lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Student worksheet Lesson plan (QTS and NQT ready) Discussion task Definitions and examples AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Cross-topic exposure Problem solvers -one topic based, one random. Plenary - Mathematical reasoning FUSE Reasonings Please review and follow Homework includes Recall questions (previous topic) Topic skill questions Applied questions Random problem solver Reflection page Solutions

This bundle of lessons is designed to help GCSE pupils learn about expanding brackets. The lessons take students through the basics of simplifying expressions, expanding one, two and more brackets. Each lesson includes a wealth of resources whilst maintaining a high standard of work. The lessons are suitable for all abilities and offers both accessibility and challenge. Bundle includes Lesson 1 - Expanding one bracket Lesson 2 - Expanding two brackets Lesson 3 - Expanding more than one bracket (Higher only) Each Lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Lesson plan (QTS and NQT ready) Discussion task Definitions and examples AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Cross-topic exposure Problem solvers -one topic based, one random. Plenary - Mathematical reasoning FUSE Reasonings Please review and follow

This lesson is designed to help GCSE pupils learn about converting between fractions, decimals and percentages. This is a complete lesson that includes a wealth of resources whilst maintaining a high standard of work. The lesson is suitable for all abilities and offers both accessibility and challenge. This resource goes through a help sheet as well as going through how students would put fractions, decimals and percentages in order. The lesson offers plenty of time for AfL and for the students to reflect. Exam questions, cross topic exposure and problem solvers also included. Lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Lesson plan (QTS and NQT ready) Discussion task Definitions and examples AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Cross-topic exposure Problem solvers -one topic based, one random. Plenary - Mathematical reasoning FUSE Reasonings Paper-less lesson Please review and follow

This lesson is designed to help GCSE pupils learn about multiplying fractions. This is a complete lesson that includes a wealth of resources whilst maintaining a high standard of work. The lesson is suitable for all abilities and offers both accessibility and challenge. This resource goes back through multiplying integers. The method taught in this lesson is multiply numerators together and multiply denominators together. The lesson offers plenty of time for AfL and for the students to reflect. Exam questions, cross topic exposure and problem solvers also included. Lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Lesson plan (QTS and NQT ready) Discussion task Definitions and examples AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Cross-topic exposure Problem solvers -one topic based, one random. Plenary - Mathematical reasoning FUSE Reasonings Paper-less lesson Please review and follow

This lesson is designed to help GCSE pupils learn about equivalent fractions and converting between improper and mixed fractions. This is a complete lesson that includes a wealth of resources whilst maintaining a high standard of work. The lesson is suitable for all abilities and offers both accessibility and challenge. This resource goes back through where students would see fractions in the real world. The lesson offers plenty of time for AfL and for the students to reflect. Exam questions, cross topic exposure and problem solvers also included. Lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Lesson plan (QTS and NQT ready) Discussion task Definitions and examples AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Cross-topic exposure Problem solvers -one topic based, one random. Plenary - Mathematical reasoning FUSE Reasonings Paper-less lesson Please review and follow

This lesson is designed to help GCSE pupils learn about expanding one bracket. This is a complete lesson that includes a wealth of resources whilst maintaining a high standard of work. The lesson is suitable for all abilities and offers both accessibility and challenge. This resource goes back through simplifying expressions. The method taught in this lesson is grid method and eyebrow method. The lesson offers plenty of time for AfL and for the students to reflect. Exam questions, cross topic exposure and problem solvers also included. Lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Lesson plan (QTS and NQT ready) Discussion task Definitions and examples AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Cross-topic exposure Problem solvers -one topic based, one random. Plenary - Mathematical reasoning FUSE Reasonings Paper-less lesson Please review and follow

This lesson is designed to help GCSE pupils learn about substituting into formula. This is a complete lesson that includes a wealth of resources whilst maintaining a high standard of work. The lesson is suitable for all abilities and offers both accessibility and challenge. This resource goes through several examples and progression of substitution. The lesson offers plenty of time for AfL and for the students to reflect. Exam questions, cross topic exposure and problem solvers also included. Lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Discussion task Definitions and examples AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Cross-topic exposure Problem solvers -one topic based, one random. Plenary - Mathematical reasoning FUSE Reasonings Paper-less lesson GOD-TIER QUESTION Please review and follow

This lesson is designed to help GCSE pupils learn about two-way tables including finding probabilities from them. This is a complete lesson that includes a wealth of resources whilst maintaining a high standard of work. The lesson is suitable for all abilities and offers both accessibility and challenge. This resource goes through loads of real life examples of two-way tables. The lesson offers plenty of time for AfL and for the students to reflect. Exam questions, cross topic exposure and problem solvers also included. Lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Discussion task Definitions and examples AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Cross-topic exposure Problem solvers -one topic based, one random. Plenary - Mathematical reasoning FUSE Reasonings Paper-less lesson Please review and follow

This worksheet covers simplifying expressions. It covers multiplying, dividing algebra with indices as well as brackets with indices. This lesson runs alongside the simplifying expressions lesson which is also free and includes this worksheet. Worksheet includes Starter questions Examples and work through examples Differentiated worksheet Challenge questions Exam style questions with mark scheme Cross topic questions Problem solvers Solutions Exit questions Word and PDF versions

This lesson is designed to help GCSE pupils learn about simplifying expressions with indices. This is a complete lesson that includes a wealth of resources whilst maintaining a high standard of work. The lesson is suitable for all abilities and offers both accessibility and challenge. This resource goes through loads of examples of multiplying and dividing with indices as well as brackets with indices. The lesson offers plenty of time for AfL and for the students to reflect. Exam questions, cross topic exposure and problem solvers also included. Lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Student worksheet Lesson plan (QTS and NQT ready) Discussion task Definitions and examples AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Cross-topic exposure Problem solvers -one topic based, one random. Plenary - Mathematical reasoning FUSE Reasonings Paper-less lesson Please review and follow

This lesson is designed to help GCSE pupils learn about writing, shading and simplifying ratio. This is a complete lesson that includes a wealth of resources whilst maintaining a high standard of work. The lesson is suitable for all abilities and offers both accessibility and challenge. This resource goes through loads of object examples of ratio. The method taught in this lesson is dividing by the highest common factor. The lesson offers plenty of time for AfL and for the students to reflect. Exam questions, cross topic exposure and problem solvers also included. Lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Student worksheet Lesson plan (QTS and NQT ready) Discussion task Definitions and examples AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Cross-topic exposure Problem solvers -one topic based, one random. Plenary - Mathematical reasoning FUSE Reasonings Please review and follow

This bundle of lessons is designed to help GCSE pupils learn about HCF and LCM through Venn diagram method, all of the operations with standard form and the whole unit of surds. This is a complete unit of work with lessons, worksheets, homeworks, review lesson and assessment. Each lesson includes a wealth of resources whilst maintaining a high standard of work. The lessons are suitable for all abilities and offers both accessibility and challenge. Bundle includes Lesson 1 - Prime decomposition Lesson 2 - HCF and LCM Lesson 3 - Writing standard form Lesson 4 - Adding, subtracting, multiplying and dividing standard form Lesson 5 - Introductions to surds Lesson 6 - Simplifying surds Lesson 7 - Rationalising surds Lesson 8 - Rationalising surds (Binomials) Lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Cognitive load friendly Discussion tasks Definitions and examples Visual aid AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Exit ticket FUSE Reasonings Paper-less lesson Please review and follow For more resources: www.blacksmithmaths.co.uk

This assessment will test students ability to calculate the HCF anf LCM. It will also take students through all the operations with standard form and the surds topic. Assessment includes Topic skill questions Applied questions Mark Scheme breakdown Mark Scheme Reflection page For more visit: www.blacksmithmaths.co.uk

This review lesson recaps of HCF and LCM, operations of standard form and surds lessons. I have individual lesson created on all of these lessons for a more detailed and specific lesson. This is meant as an end if unit review. Review lesson includes Recap of unit Examples on all of the topics in the unit AfL whiteboard questions Multiple choices questions Quick fore questions Diagnostic questioning Bank of Questions and solutions For more visit: www.blacksmithmaths.co.uk

This homework is designed to support GCSE pupils learning of standard form. The exercise is suitable for all abilities and will help students retain the information learned from the lesson. I put these two topics together to fit in with Exam-boards scheme of work. This resource will take students through writing standard and ordinary form as well as testing their ability on adding, subtracting, multiplying and dividing standard form. The homework offers questions that increase in difficulty allowing accessibility and challenge. Exam and more problem solver type questions are also included. The sheet also gives the students a chance to reflect on their learning. Homework includes Recall questions (previous topic) Topic skill questions Applied questions/ Exam questions Random problem solver Reflection page Solutions, solutions, solutions For more visit: www.blacksmithmaths.co.uk

Two lessons Writing standard form Adding, subtracting, multiplying and dividing using standard form Each lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Cognitive load friendly Discussion tasks Definitions and examples Visual aid AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Exit ticket FUSE Reasonings Paper-less lesson Please review and follow For more resources: www.blacksmithmaths.co.uk Tes paid licence

This worksheet covers converting ordinary and standard form. It follows counting from the first non-zero number. This lesson runs alongside the writing standard form lesson which is also free and includes this worksheet. Link to lesson: https://www.tes.com/teaching-resource/writing-standard-form-lesson-bundle-12394209 Worksheet includes Starter questions Examples and work through examples Differentiated worksheet Challenge questions Exam style questions with mark scheme Cross topic questions Problem solvers Solutions Exit questions Word and PDF versions For more go to: www.blacksmithmaths.co.uk

This worksheet covers the operations of standard form. This lesson runs alongside adding, subtracting, multiplying and dividing standard form lesson and includes this lesson. Link here: https://www.tes.com/teaching-resource/adding-subtracting-multiplying-and-dividing-standard-form-lesson-bundle-12394280 Worksheet includes Starter questions Examples and work through examples Differentiated worksheet Challenge questions Exam style questions with mark scheme Cross topic questions Problem solvers Solutions Exit questions Word and PDF versions For more go to: www.blacksmithmaths.co.uk

This lesson is designed to teach students about using standard form. This is a complete lesson that includes a wealth of resources whilst maintaining a high standard of work. The lesson is suitable for all abilities and offers both accessibility and challenge. This includes adding, subtracting, multiplying and dividing standard form. The lesson offers plenty of time for AfL and for the students to reflect. Exam questions, cross topic exposure and problem solvers also included. Lesson includes Title, date, objective, success criteria, key words Teacher Guide Starter Cognitive load friendly Discussion tasks Definitions and examples Visual aid AfL Diagnostic questions Differentiated questions and solutions Accessible for lower ability and challenge high ability Exam style questions (GCSE- A level) and mark scheme run through. Exit ticket FUSE Reasonings Paper-less lesson Please review and follow For more resources: www.blacksmithmaths.co.uk