#### Quadratic factorisation worksheets (with solutions)

Three worksheets on factorising quadratic expressions including the cases where the square has coefficient 1 or other than 1. Solutions are included. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Quadratic factorisation (coefficient not 1) worksheet with solutions

A worksheet on quadratic factorisation of expressions where the square has coefficient other than 1. Solutions are included. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### GCSE Maths 9-1 Foundation Tips & Tricks!

This 4 page resource is aimed at GCSE Maths students sitting the 9-1 Exam, It features worked examples/tips of topics such as: Equations Expanding single and double brackets Factorising Indices y = mx+c (Parallel lines and gradients) Mean, Mode, Median and Range And Venn Diagram notation It also features a full comprehensive sheet regarding Formulas that need to be memorised for the new spec, estimates of the grade boundaries and what to aim for and an array of tips and tricks that Foundation students can follow to help improve their exam performance. If you are a tutor/pupil and want to view some other resources that are similar: Grade 7-9 Tips and Resources (FREE): https://www.tes.com/teaching-resource/gcse-maths-9-1-exam-tips-and-revision-help-grade-7-9-11936448 General exam tips for all abilties sitting the 9-1 Specimen (FREE): https://www.tes.com/teaching-resource/gcse-maths-9-1-keywords-and-exam-tips-and-tricks-11934976 GCSE Maths Calc Paper 2H (FREE): https://www.tes.com/teaching-resource/gcse-maths-9-1-practise-paper-2h-11934418 GCSE Maths Non-Calc Challenging (Grade 7-9) Exam Paper (£1): https://www.tes.com/teaching-resource/gcse-9-1-maths-tricky-exam-paper-grade-7-11938664

#### Basic Maths Concepts for GCSE with ANSWERS

Great mix of practice questions on : Simple Algebra Calculating times Standard Form Changing the Subject of the Formula Ratios Percentage Increase Exchange rates Percentages Useful from Years 9-11. Can be give as homework

For those using the Texas Instruments Ti-84 graphing calculator. I made this sheet with screen shots for my grade 9 class who were being introduced to this calculator for the first time. It shows them how to input the equation, look at the table of values, change the window and find required key points.

#### GCSE Higher detailed revision checklist with links to relevant Mathswatch & Corbett Maths videos

This is a fairly detailed checklist that I am giving to my year 10’s to help them do some independent work over the summer. It shows the main areas they need to cover for each topic and to make it easy for them to engage with each part there are links to the relevant videos from Mathswatch and Corbett maths. Hopefully this will give them a headstart in their revision before next year.

#### Very basic emoji algebra

This is quite basic resource that introduces simplifying algebra concepts for low level groups. Emojis are used instead of symbols.

#### Expanding single brackets - mastery worksheet

This is a mastery worksheet involving expanding single brackets. The worksheet is split into 3 sections, fluency, reasoning and problem solving so students can master the topic. All answers are included for the questions.

#### Five Step Problem Solving: Around and around

This five step approach to problem solving provides detailed solutions.

I made these worksheets for my low ability grade 10 class (year 11). They are designed to seperate each step required in identifying key points from each form. First they practice identifying the key points from each of the 3 forms, then they focus in finding just the y-interceptm just the vertex and just the zeros.

#### Writing exponential expressions in the form ax^n

These 2 worksheets are intended for students to practice the skill of rewriting experessions into the ax^n for required for differentiation and integration in isolation, rather than them having to learn/practice doing this at the same time as applying the power rule.

#### Solving Equations Revision

A powerpoint to support the teaching of solving linear equations with one step, two step, unknowns on both sides and brackets. With objectives, examples and differentiated activities with answers.

#### Factorising expressions

A powerpoint to support the teaching of factorisation with objectives, examples and activities with answers.

At least a lesson’s worth of activities on the theme of quadratic sequences. Designed to come after pupils have learnt the basics (how to use and find an nth term rule of a quadratic sequence). Gives pupils a chance to create their own examples and think mathematically. There are four activities included: Activity 1 - given sets of four numbers, pupils have to order them so that they form quadratic sequences. Designed to deepen pupils understanding that the terms in a quadratic sequences don’t necessarily always go up or down. Activities 2 and 3 - on the same theme of looking at the sequences you get when you pick and order three numbers of choice. Can you always create a quadratic sequence in this way? What if you had four numbers? Could be used to link to quadratic functions. Activity 4 - inverting the last activity, can pupils find possible values for the first three terms and a rule, given the fourth term? A chance for pupils to generate their own examples and possibly do some solving of equations in more than one variable. Where applicable, worked answers provided.

#### Expanding Brackets

A presentation to support the teaching of expanding brackets with objectives, examples and differentiated activities with answers.

#### GCSE 9-1 Maths TRICKY Exam Paper (Grade 7+)

A GCSE Maths exam paper which is designed to be more challenging than your average GCSE Maths paper and is aimed at students who are aiming for grades 7/8 or 9 (MODEL SOLUTIONS ARE ALSO INCLUDED) And as a thank you for downloading this I will email you another resource for free :) There are 15 questions with a total of 60 marks and it can be used as either an exam paper for revision or as a worksheet in class or on your own to tackle trickier grade7-9 questions. The questions have been picked from topics such as: Circles and the equation of the centre and finding the radius Surds and Rationalising The Quadratic formula Completing the Square Quadratic &amp; Geometric series Algebraic Proofs Quadratic Inequalities Transformations of graphs Functions I hope this resource is helpful for you in your studies, If there are any questions or emails regarding the questions and paper please leave me a message/comment and i’ll get to it ASAP. Please be sure to leave a review and feedback as it helps me improve my resources!

#### Gauss's formula

A complete lesson on the theme of the formula for 1+2+3+…+n, looking at how the rule emerges in different scenarios. Activities included: Starter: A classic related puzzle - counting how many lines in a complete graph. After the initial prompt showing a decagon, two differing approaches to a solution are shown. These will help pupils make connections later in the lesson. This is followed by a prompt relating to the handshaking lemma, which is the same thing in a different guise. Pupils could investigate this in small groups. Main: A prompt for pupils to consider the question supposedly put to Gauss as a child - to work out 1+2+3+…+100. Gauss’s method is then shown, at which point pupils could try the same method to sum to a different total. The method is then generalised to obtain Gauss’s rule of n(n+1)/2, followed by a worksheet of related questions. These include some challenging questions requiring pupils to adapt Gauss’s method (eg to work out 2+4+6+…+100). Plenary: A final look at the sequence Gauss’s rule generates (the triangle numbers). Please review if you buy as any feedback is appreciated!

A complete lesson on patterns of growing shapes that lead to quadratic sequences. See the cover image to get an idea of what I mean by this. Activities included: Starter: A matching activity relating to representation of linear sequences, to set the scene for considering similar representations of quadratic sequences, but also to pay close attention to the common sequences given by the nth term rules 2n and 2n-1 (ie even and odd numbers), as these feature heavily in the lesson. Main: A prompt to give pupils a sense of the intended outcomes of the lesson (see cover image). An extended set of examples of shape sequences with increasingly tricky nth term rules. The intention is that pupils would derive an nth term rule for the number of squares in each shape using the geometry of each shape rather than counting squares and finding an nth term rule from a list of numbers. A worksheet with a set of six different shape sequences, for pupils to consider/discuss. The nth term rules have been given, so the task is to justify these rules by considering the geometry of each shape sequence. Each rule can be justified in a number of ways, so this should lead to some good discussion of methods. Plenary: Ideally, pupils would share their differing methods, but I’ve shown a few methods to one of the sequences to stimulate discussion. Printable worksheets (2) included. Please review if you buy as any feedback is appreciated!

#### Operations with Polynomials Worksheet: Math Message Decoder

This message decoder is a great way for students to practice their skills with adding, subtracting, multiplying and dividing polynomials. The solution to each puzzle is included.

#### Operations with Polynomials Game: Math Tarsia Puzzle

This tarsia puzzle is a great way for students to review their skills with adding, subtracting, multiplying and dividing polynomials. The solution to the puzzle is included.

#### Operations with Polynomials Activity: Escape Room Math

This breakout escape room is a fun way for students to test their skills with adding, subtracting, multiplying and dividing polynomials. Contents: ♦ Teacher Instructions and FAQ ♦ 3 Levels to decode: Maze Decoder, Tarsia Puzzle, and Message Decoder ♦ Student Recording Sheet and Teacher Answer Key ♦ Link to an optional, but recommended, digital breakout room

#### Finding the nth term rule of a quadratic sequence

A complete lesson on finding the nth term rule of a quadratic sequence. This primarily focuses on one method (see cover slide), although I’ve thrown in a different method as an extension. I always cover linear sequences in a similar way and incorporate a recap on this within the lesson. Starter: To prepare for the main part of the lesson, pupils try to solve a system of three equations with three unknowns. Main: A recap on finding the nth term rule of a linear sequence, to prepare pupils for a similar method with quadratic sequences. Examples on the core method, followed by a worksheet with a progression in difficulty for pupils to practice. I’ve included two versions of the worksheet - a simple list of questions that could be projected, or a much more structured worksheet that could be printed. Worked solutions are included. A worked example of an alternative method, that could be given as a handout for pupils who finish early to try on the questions they’ve already done. Plenary: A proof of why the method works. I’d much rather show this at the start of the lesson, but in my experience this usually overloads students and puts them off if used too soon! Please review if you buy as any feedback is appreciated!

A complete lesson on using an nth term rule of a quadratic sequence. Starter: A quick quiz on linear sequences, to set the scene for doing similar techniques with quadratic sequences. Main: A recap on using an nth term rule to generate terms in a linear sequence, by substituting. An example of doing the same for a quadratic sequence, followed by a short worksheet for pupils to practice and an extension task for quick finishers. A slide showing how pupils can check their answers by looking at the differences between terms. A mini-competition to check understanding so far. A set of open questions for pupils to explore, where they try to find nth term rules that fit simple criteria. The intention is that this will develop their sense of how the coefficients of the rule affect the sequence. Plenary: A final question with a slightly different perspective on generating sequences - given an initial sequence and its rule, pupils state the sequences given by related rules. No printing needed, although I’ve included something that could be printed off as a worksheet. Please review if you buy, as any feedback is appreciated!

#### Recognising and extending quadratic sequences

A complete lesson for introducing quadratic sequences. Rather than go straight into using or finding nth term rules, the focus is on looking at differences between terms to identify and extend given sequences. Activities included: Starter: A related number puzzle Main: Slides/examples to define quadratic sequences A set of sequences, some quadratic, for pupils to determine whether they are quadratic or not. A more challenging, open-ended task, where, given the first, second and fourth terms of a quadratic sequence, pupils form and solve an equation to find the third term. Having solved once for given numbers, pupils can create their own examples. Plenary: A comparison between linear and quadratic sequences. No printing required, please review if you buy as any feedback is appreciated!

#### GCSE Maths Revision booklets - CCEA M2 and M6 papers

Included are two revision booklets created for use by students undertaking CCEA GCSE Maths. These booklets were originally created to correspond to topics on the old T2 and T5 papers, which now most closely link to the M2 and M6 papers. Most of the topics also relate to Foundation Mathematics papers by other exam boards. Topics within the booklets are broken down an explained in a simplified, step-by-step manner for ease of understanding by students. They were originally created for use by students with specific learning difficulties who were having difficulty keeping up in class, but they have been used as successful revision tools by their non-SEN peers also. There are some revision questions throughout the booklets, but the focus is more primarily on step-by-step teaching of different topics and demonstrating how these skills can be linked to different types of questions.

#### Simultaneous Equations.

Solving Simultaneous Equations by elimination method.

Solving quadratic equations by factorizing for GCSE.

#### Algebra worksheets (with solutions)

Three worksheets on expanding single and double brackets and factorising algebraic expressions. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Algebra worksheet (with solutions)

A worksheet on expanding single and double brackets and factorising algebraic expressions. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Mental/Speed Arithmetic Worksheets

I created these randomly generating speed/mental maths worksheets in Excel for my students to practise their skills in: All values are 0-12 times table values. Hit F9 (Windows) or Fn F9 (Mac) to randomly generate a new sheet. Addition Subtraction Multiplication Division Mixed 1-Step Algebra Each worksheet generates correct solutions to match. Each worksheet is separated into: Beginner Intermediate Advanced Personally, I print off and laminate a randomly generated class set and see how many students can do in the first 5 minutes of the lesson to warm up. I keep records of their best and challenge them to beat their personal bests.

#### Solving equations involving function machines

Solving simple two step equations using function machines.

#### Geometry - Modular Arithmetic - Fun Maths - Cardioid Drawing

Adapted from https://www.artfulmaths.com/mathematical-art-lessons.html . High quality worksheets with animations.

#### 6th Grade Math Complete Bundle for Interactive Math Notebook

This bundle includes all my interactive notebook pages and practice for the entire 6th grade math common core curriculum. The price will increase as I add to this bundle, and I will be adding to it daily. See the preview pictures and unit bundle links to see what is currently included and don’t hesitate to contact me with any questions!

#### GCSE Maths 9-1 Exam Tips And Revision Help! (GRADE 7-9)

This is a revision sheet/exam helpsheet aimed at students aiming for grade between 7 to 9 and to help push grade 6 students to a 7. The sheet alone won’t magically push their grades up but features examples for certain topics and things to remember during the exam and other information regarding certain formulae that has to be remembered and the grade boundaries and what to aim for. Certain topics covered: Surds and Rationalising Algebraic Fractions Quadratic Sequences Geometric Sequences Circles Algebraic Proofs Completing the square and finding the turning point I hope this revision sheet will be useful for you in your study or for any students doing their GCSE’s PLEASE review and leave me feedback if you do download my sheet! If you notice any mistakes please contact me and i’ll amend anything ASAP.

#### Linear equations with brackets worksheets (with solutions)

Four worksheets on solving linear equations by expanding brackets and simplifying algebraic expressions. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Linear equations with brackets worksheet no 3 (with solutions)

A worksheet on solving linear equations by expanding brackets and simplifying algebraic expressions. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Formula Activity KS3

This activity provides a good introduction to formulae for KS3 students, meeting the following objectives from the mathematics curriculum: Use and interpret algebraic notation Substitute numerical values into formulae and expressions Understand and use standard mathematical formulae Model situations or procedures by translating them into algebraic expressions or formulae

#### Transforming Graphs - Knowledge Organiser

Two A4 page Knowledge Organisers including Need-to-Know facts, Keywords, Exam Question, MathsWatch clip numbers, Worksheet links and Curriculum Flowchart. Aimed at KS4 students. Especially for schools who are using a knowledge based curriculum. Updated July 2018

#### Expanding and simplifying expressions worksheet no 2 (with solutions)

A worksheet on expanding and simplifying expressions and solving equations that require expanding brackets and simplifying expressions. Detailed solutions are provided. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Algebra Tiles

I’ve used this when introducing factorising quadratics and have found it very useful for pupils as they are able to visual the process. On the back side is the -x^2 and -x and -1 . Any feedback is welcome!

#### Expanding brackets and factorising worksheet no 4 (with solutions)

A worksheet on expanding single and double brackets and factorising algebraic expressions. Detailed solutions are provided. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Simplifying Expressions

A powerpoint to support teaching simplifying expressions with objectives, examples and differentiated student activities with answers.