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Mr Arya’s Maths Shop

GCSE Maths resources that are visual and step by step to help all learners

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GCSE Maths resources that are visual and step by step to help all learners
Solving Quadratic Equations - Worded problems worksheet with grades
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Solving Quadratic Equations - Worded problems worksheet with grades

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7 x Grade 5 - Grade 7 worded problems requiring students to decompose problem, form quadratic equation, factorise and solve it. They then have to choose a solution that matches the context of the question. Ideal for one 45-60 minute lesson with laddered activities to show progress or to allow students to pick questions they want to work on. WANT TO PREPARE STUDENTS TO FACTORISE QUADRATICS? Why not take a look at this graded worksheet with examples on how to factorise quadratics using the box method. WANT TO BUY A QUADRATICS BUNDLE AND SAVE MONEY AND TIME? Take a look at this factorising quadratics, solving quadratic equations and completing the square bundle.
Factorising quadratics | Solving quadratic equations | Completing the square
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Factorising quadratics | Solving quadratic equations | Completing the square

3 Resources
3 visual resources to help Grade 5+ students to master factorising quadratics, solving quadratic equations and completing the square. All are stand alone worksheets usable to teach or for independent work. RESOURCE 1: Factorising Quadratics - Guided worksheet using reverse grid method (GCSE Maths 9-1) Step by step worksheet that shows students how to factorise quadratics using the box method. 2 resources included - one for Foundation and one for Higher. Higher worksheet covers quadratics where coefficient of x square = 1 and not = 1. Answers provided. Ideal for one lesson (30-45 minutes). RESOURCE 2: Completing the square worksheet (visual method) / Quadratics This is a visual step by step for students on how to complete the square. It includes examples and questions and helps students to access the how and why of completing the square as well as serving as a good introduction to the topic. This resource allows the teacher to then follow up with harder exam style questions (not included) knowing the basics are fully understood. Included are examples and 2 questions each for the form for x^2 + bx and x^2 + bx + c. RESOURCE 3: Solving Quadratic Equations - Worded and graded problem solving worksheet 5 x Grade 4 - Grade 7 worded problems requiring students to decompose a problem, form a quadratic equation, factorise it and solve it. They then have to choose a solution that matches the context of the question. Ideal for one lesson with laddered activities to show progress.
Find LCM and HCF worksheet - Visual and step by step
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Find LCM and HCF worksheet - Visual and step by step

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A step by step and visual resource for students to find LCM and HCF of two numbers using prime factor trees and Venn diagrams. Worksheet ladders students through key skills and helps them develop confidence in this area. Resources requires 30-45 minutes to deliver. Included is a teacher PPT and print ready PDFs (2 per page or 1 per page). Contents: Teacher led example (with build) 2 x guided questions with steps removed each time to make it harder 2 x independent questions so students can replicate the whole process 1 x grade 5 question Answers
Solving Quadratic Equations - Worded  problems worksheet with grades
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Solving Quadratic Equations - Worded problems worksheet with grades

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Worded quadratic equation problems requiring students to decompose a problem, form a quadratic equation, factorise it and solve it. They then have to choose a solution that matches the context of the question. This is the FREE version of the popular (6k+ downloads and TES Picks) resource with a 2 x Grade 5 questions and solutions. The full resource can be found here with 7 x Grade 5 - Grade 7 questions. It’s ideal for a 45-60 minute lesson and students can select what they want to do. WANT TO PREPARE STUDENTS TO FACTORISE QUADRATICS? Why not take a look at this graded worksheet with examples on how to factorise quadratics using the box method. WANT TO BUY A QUADRATICS BUNDLE AND SAVE MONEY AND TIME? Take a look at this factorising quadratics, solving quadratic equations and completing the square bundle.
Algebra skills revision / test - Simplifying, expanding, factorising (GCSE Maths 9-1)
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Algebra skills revision / test - Simplifying, expanding, factorising (GCSE Maths 9-1)

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Graded algebra worksheet which can be used as a revision lesson or assessment. Out of 100 marks with a simple feedback tool (WWW/EBI/Next Steps) for teacher / student evaluation. Indicates GCSE grades next to each topic to show progression. Covers the following topics: GRADE 1: Simplifying expressions involving 1 variable GRADE 2: Simplifying expressions involving 2 variables GRADE 3: Substitution GRADE 3: Expanding single brackets GRADE 3: Factorise into single brackets GRADE 4: Expanding and simplifying single brackets GRADE 4: Expanding double brackets (quadratics) GRADE 5: Factorising quadratics where coefficient of x squared = 1 GRADE 5: Changing the subject of a formula GRADE 5: Difference of two squares GRADE 7: Expanding triple brackets GRADE 7: Factorising quadratics where coefficient of x squared not = 1 Feedback / edits welcome.
Trigonometry - Sin Cos Tan - Step by step to finding missing lengths and angles
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Trigonometry - Sin Cos Tan - Step by step to finding missing lengths and angles

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This resource steps students to develop confidence in using use sin / cos / tan to find missing lengths and angles in right angled triangles. Scaffolded activities for the following: Labelling the sides of a right angled triangle (opp, adj, hyp) Investigation on how the ratio between two sides in a right angled triangle gives rise to sin / cos / tan values Using FORMULA TRIANGLES to help with usage of SOH, CAH, TOA formula triangles Finding MISSING LENGTHS in a right angled triangle (with a step by step guide and independence building questions) Finding MISSING ANGLES in a right angled triangle (with a step by step guide and independence building questions) Working through all resources would require 60-100 minutes.Potentially 2 lessons. Answers are included for some of the activities and a sin/cos/tan value table for students who don’t have a scientific calculator.
Factorising Quadratics Worksheet
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Factorising Quadratics Worksheet

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A visual and step by step worksheet (ideal for one lesson) teaching students how to factorise quadratics using the box method. Two resources included - one for Foundation and one for Higher. Higher worksheet covers quadratics where coefficient of x square = 1 and not = 1. Answers provided.
Fractions Worded Questions - Amount Sharing Problem Solving
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Fractions Worded Questions - Amount Sharing Problem Solving

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4 worded fraction problems (non-calculator) to encourage students to visualise the problem, write the method and highlight the answer. All focus on amount sharing and there is a “make up your own question at the end”. Ideal for Higher and Foundation (Grade 4). Should take 30-45 minutes.
Find Nth term, LCM and HCF worksheets bundle
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Find Nth term, LCM and HCF worksheets bundle

2 Resources
Visual and step by step worksheets to help Foundation and Higher students: Find the nth term of linear sequences in 3 easy steps Find the LCM and HCF of two numbers using venn diagrams RESOURCE 1: Finding the nth term in 3 easy steps - WORKSHEET + SLIDES + ANSWERS A step by step and visual resource to help learners find the nth term of linear sequences. Shows them how to tackle a variety of nth term problems including finding specific terms. There are 7 questions in total with which teaching and review amount to a 35-45 minutes activity. This is suitable for Foundation and Higher GCSE Maths students. Includes worksheet, teacher slides and answers (all in PDF format). RESOURCE 2: Finding LCM and HCF of two numbers (Grade 4) - Guided lesson worksheet A guided lesson worksheet for all ability students to find LCM and HCF of two numbers using prime factor trees and Venn diagrams. Works well for students as they mimic the process through scaffolded worksheets and develop confidence. The resources requires 30-40 minutes to deliver. Resource comes as a teacher PPT and print ready PDFs (2 per page or 1 per page). Contents: Teacher led example (with build) 2 x guided questions with steps removed each time to make it harder 2 x independent questions so students can replicate the whole process 1 x grade 5 question Answers
Find nth term worksheet in 3 easy steps + teacher slides
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Find nth term worksheet in 3 easy steps + teacher slides

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A visual step by step worksheet to find the nth term of linear sequences in 3 easy steps. Repetitive questions with guidance drive mastery. Problems cover a variety of nth term scenarios including finding specific terms. This resource includes 7 questions with which teaching and review amount to a 35-45 minutes activity. This is suitable for Foundation and Higher GCSE Maths students. Resource includes worksheet, teacher slides and answers (all in PDF format).
Complete the square worksheet
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Complete the square worksheet

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This is a visual step by step worksheet for students on how to complete the square. It includes examples and questions and helps students to access the how and why of completing the square as well as serving as a good introduction to the topic. This resource allows the teacher to then follow up with harder exam style questions (not included) knowing the basics are fully understood. Included are examples and 2 questions each for the form for x^2 + bx and x^2 + bx + c.
Find nth term worksheet in 3 easy steps + teacher slides
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Find nth term worksheet in 3 easy steps + teacher slides

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A step by step and visual worksheet for students to find the nth term of linear sequences in 3 easy steps. This FREE resource includes an example and 1 question along with teacher slides to explain finding the nth term and answer (in PDF form). The full paid resource contains 7 questions covering a variety of nth term scenarios including finding specific terms. In total, the time to deliver the full resource is 30-45 minutes and is suitable for Foundation and Higher GCSE Maths students. Full resource includes worksheet, teacher slides and answers (all in PDF format). Full resource: https://www.tes.com/teaching-resource/find-nth-term-worksheet-and-slides-12192373
Quadratic Sequences - Find nth term - Step by step worksheet + Slides + Answers
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Quadratic Sequences - Find nth term - Step by step worksheet + Slides + Answers

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A laddered resource to help students find the nth term of a quadratic sequence in a visual and structured way. Resource includes teacher slides (with builds to explain the example), a worked solution and answers for the other questions. Includes a quadratic pattern challenge at the end. If you find any mistakes, please contact me using the address given in the teacher slides.