#### Investigation: Where's the Point?

A Mathematical Investigation Assessment Item for Yr 9 &amp; 10, including GeoGebra and Python.

#### Algebra: Circular Graphs 2 - Midpoints, Tangents and Normals (+ resources)

This is my second lesson on circular graphs looking at more AS Level questions around midpoints and problems involving tangents and normals and solving associated problems. This is a great whole lesson and includes a worksheet with answers as well as exam questions with mark scheme. The lesson includes: a starter Learning objectives keywords excellent teaching slides Assessment opportunities (AFL) worksheet with answer exam questions with mark scheme a plenary NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thank you.

#### GCSE 9-1 Inverse Functions

Successfully delivered to a top set Year 10. Includes answers and explanatory slides.

#### GCSE 9-1 Composite Functions Lesson + Worksheet

Composite functions lesson successfully delivered to a high ability Y10. All answers are provided.

#### Algebra for GCSE/IGCSE worksheets (with solutions)

A large collection of 24 worksheets (254 pages) on selected topics from algebra: Algebraic manipulation Substitution into formulae Simplifying expressions by collecting like terms Collecting like terms (expressions with different variables) Multiplying a single term over a bracket Expanding double brackets Factorisation Quadratic factorisation 9.Indices Rearranging formulae Inverse functions Composite functions Equation of a straight line Parallel and perpendicular lines Solving linear equations Solving quadratic equations by factorising Quadratic formula Completing the square and solving quadratic equations by com- pleting the square Simultaneous Equations -Elimination Simultaneous Equations -Substitution Simultaneous Equations One Linear, One Quadratic Linear inequalities Quadratic inequalities The nth term of linear and quadratic sequences Designed for the GCSE/IGCSE specification. Detailed solutions are included. From https://placeformath.blogspot.com/p/worksheet-shop.html

#### Transforming graphs of a function/ Plotting transformations with Desmos/ GeoGebra

L/O: To plot and then comment on transformations of a function. Worksheet activity where students type in basic function f(x)=x squared into Desmos or GeoGebra and then do various transformations of this function. Students plot and draw what happens on the graphs and make a comment about what they find. Comment sections are scaffolded to guide pupils in describing the transformation. The worksheet is 4 sides of A4, with a gradual increase in difficulty. I have used this with high ability year 7 and 8 classes, plus high and middle ability year 9, 10 and 11 classes. Transforming function graphs (translations and reflections of non-trigonometric graphs) is grade 7 on the new GCSE 9-1 scale. As an unprotected Word document you can edit it as required.

#### Calculus: Optimisation

The presentation begins with a review of quadratics and presents students with an optimisation question which they are expected to solve using quadratics. The concept of optimisation is then explored in more detail by asking students to find the maximum volume that can be made from a 12cm x 12cm square (in the context of for instance minimising production costs). This site provides a useful platform through which to launch into a discussion about finding the maximum volume. There are then a selection of questions which I printed out and placed around the room for students to tackle, in pairs. For the plenary, the students are presented with a similar (but note not identical) problem to the one at the start of the lesson and are asked to solve using calculus before checking their answer using quadratics. Please Review

#### Composite Functions Mastery Worksheet

This is a mastery worksheet that encompasses fluency, reasoning, problem solving, keywords and misconceptions. The purpose of this sheet is to provide differentiation, challenge and time saving for teachers. All answers are provided.

#### Graphing Absolute Value Equations Color by Number

With this activity, students will match absolute value equations with their graphs and then color the picture according to the answers to reveal a beautiful, colorful mandala! As an added bonus, the final products make fabulous classroom decor! This activity is an excellent resource for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. It is especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally “checked out” before a long break (hello summer!). Teachers and students alike enjoy motivating activities, so engage your students today with these fun coloring activities!

#### Solving Quadratic Equations by Completing the Square Color by Number

With this activity, students will solve quadratic equations by completing the square. Then they will color the picture using their answer and the indicated color to reveal a beautiful, colorful mandala! As an added bonus, the final products make fabulous classroom decor! This activity is an excellent resource for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. It is especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally “checked out” before a long break (hello summer!). Teachers and students alike enjoy motivating activities, so engage your students today with these fun coloring activities!

#### Function Operations Color by Number

With this activity, students will evaluate function operations (composite functions) and then color their answers as directed to reveal a beautiful, colorful mandala! As an added bonus, the final products make fabulous classroom decor! This activity is an excellent resource for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. It is especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally “checked out” before a long break (hello summer!). Teachers and students alike enjoy motivating activities, so engage your students today with these fun coloring activities!

#### Systems of Quadratic Equations Color by Number

With this activity, students will solve systems of quadratic equations. Then, they will use a test point to determine how to color their answers on the picture to reveal a beautiful, colorful mandala! As an added bonus, the final products make fabulous classroom decor! This activity is an excellent resource for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. It is especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally “checked out” before a long break (hello summer!). Teachers and students alike enjoy motivating activities, so engage your students today with these fun coloring activities!

#### Square Root Equations Color by Number

With this activity, students will solve square root equations and then color their answers with the color given to reveal a beautiful, colorful mandala! Even unmotivated students enjoy coloring, so this activity is a great way to get even the most challenging students engaged in practicing their skills. This no-prep activity is an excellent resource for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. It is especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally “checked out” before a long break (hello summer!). Teachers and students alike enjoy motivating activities, so engage your students today with this fun activity!

#### Differentiation Revision Notes 1

4 pages of concise revision notes on basic differentiation. This includes a table of various functions and their differentials, definitions, maxima and minima, chain rule, product rule and quotient rule. Links to useful resources are also added. Supplementary examples will be added in future, provided these notes are useful to students.

#### Set Theory PowerPoint and Handouts

An extensive introduction to Set Theory, generally aimed at Computer Science A Level students, A Level Mathematicians or first year Undergraduate students in either Computer Science or Mathematics. It is intended to cover two lessons, extra examples and discussion may be required if aiming at a lower ability. Includes: A simple starter to encourage discussion on how to categorise numbers, as well as how many there may be e.g. how many natural numbers are there? A handout featuring all definitions given in the PowerPoint A PowerPoint covering set notation, intersections, unions, set comprehension and set compression. More resources can be added upon request. Please do give feedback/suggestions!

#### Algebra: Integration BUNDLE (5 Lessons) + Resources

This is a superb 5 lessons to teach all the different aspects of AS Level Integration. The 5 lessons are as follows: Integration 1 - An Introduction Integration 2 - Finding an Area Integration 3 - Area Problems Integration 4 - Areas bound by the y-axis Integration 5 - Trapezium Rule For further details for each individual lesson then do view each lesson individually. However, all lessons come with starters, differentiated learning objectives, key words, excellent teaching slides and examples, worksheets and exam questions with answers and plenaries. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thank you!

#### Algebra: Integration 4 - Areas bound by the Y-Axis (+ resources)

This is the fourth lesson looking at integration and follows on from the previous lessons by looking at the areas that are bound by the Y-Axis. Sometimes I do teach this as lesson 3 as to some degree it is logical to teach it in that order. 17 slides + worksheet + exam questions and all with answers. The lesson includes: Starter - a quick exam question on integrating with bounds to focus students on integrating skills again Learning Objectives - differentiated by outcome Superb teaching slides showing what to do with areas bound by the y-axis and again what happens with a negative area?! AFL questions to check understanding of re-arranging An AFL/ exam questions to check understanding on various elements of the learning and looking out for any areas of misunderstanding Exam questions with ANSWERS (could be used in class or as homework) A worksheet with ANSWERS (could be used in class or as homework) Plenary - a quick review and feedback on learning during the lesson before going further into more areas of integration. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDBACK, thank you!

#### Challenge Problems Worksheets 2

Subject: Calculus, Geometry, Algebra 2 Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheets (6 pages), appropriate for an impromptu quiz This the second worksheet in the Challenge Problems series. Taken from Arithmetic through Calculus, these problems require not only an understanding of the basic concepts but, often, a bit of imagination. Any formula or definition (within reason) that is required to solve the problems will be given, all that the student has to supply is imagination and a little elbow grease. Each problem set is accompanied by a detailed set of solutions for each problem (sometimes more than one).

#### Algebra: Integration 3 - Area Problems (+ worksheet)

This is the third lesson that I teach on integration and follows on from the second lesson beginning to look at using integration to solve area questions. This lesson looks at area problems and more complex examples that are the type of questions that get asked in exams. 20 slides + a great practice worksheet with answers. The lesson includes: Starter - a quick question on integrating with bounds to focus students on integrating skills again Learning Objectives - differentiated by outcome Key Notation - explanation and detail given as this is often an area of confusion Teaching slides showing the process and some of the problems that come with area problems. How to find the bounds and issues when questions do not involve an area bound by the x-axis. It comes with several excellent examples and teaching slides. AFL questions and activities for students to check understanding An excellent worksheet with ANSWERS. Plenary - a quick review and feedback on learning during the lesson before going further into more areas of integration. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDBACK, thank you!

#### Algebra: Integration 1 - An Introduction (+ resources)

This is one of my favourite lessons to teach and the activity is one of the reasons. This is a whole lesson introducing the topic of integration. 25 slides. The lesson includes: Starter - a quick question on differentiation to get the brain working and to remind students the process of differentiation Learning Objectives - differentitated by outcome Key Words and Notation - a lot of explanation and detail given as this is often an area of confusion Teaching slides showing the process of differentiation and how integration is the opposite (often print these of as handouts for pupils. Teaching slides on +C making it really clear what it is and its importance Several superb and very clear teaching examples AFL activity for students to check understanding An excellent and really challenging matching activity. This comes with an accompanying handout on index rules as this is half the key battle. Includes ANSWERS. Added a fair simpler worksheet for the less able or to set for homework as practise. Plenary - a quick review and feedback on learning during the lesson before going further into more complex integration. Last time I taught this we ended up doing two lessons before moving on from the feedback as pupils were not confident enough on the basic skills NOT of integration but index rules. One of my responses was to to develop the handout with rules for support and guidance. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDBACK, thank you!

#### Algebra: Remainder Theorem + Worksheet - perfect for AS Level

This is a whole lesson on the different aspects of learning the remainder theorem. 27 slides + worksheet. The lesson includes: A starter linking to solving quadratics and factorising Learning objectives key words 2 AFL activities around the key words (avoids confusion when doing exam questions) quick few examples and activities on factorising (reminder only) Method One: Long Division (1 example and 1 question) Method Two: Introspection (2 examples and 1 question) - my preferred method as I think it makes why it works much clearer and builds a better understanding. WORKSHEET with ANSWERS! Plenary - 3 questions that can fully factorise. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDACK, thank you!

#### Análisis de funciones (In Spanish)

Estas dos páginas resumen de manera clara y práctica como cálcular: Continuidad Derivabilidad Monotonía Extremos relativos Curvatura Puntos de corte de la función con los ejes Simetrías Asíntotas Dominios Espero que encontreis útil este recurso! Por favor puntúa para que pueda mejorar!

#### Calculus Quiz - Integration by Alg Sub 2 - Algebraic Integrands w/ Solutions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Examinations/Quizzes This is the second quiz in the Integration by Algebraic Substitution series. These problems are dealing with integrals that have only algebraic integrands. Included is a separate set of very detailed step-by-step solutions.

#### Calculus Quiz - Integration by Alg Sub 1 - Algebraic Integrands w/ Solutions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Examinations/Quizzes (3 pages) This is the first quiz in the Integration by Algebraic Substitution series. These problems are dealing with integrals that have algebraic integrands. Included is a separate set of very detailed step-by-step solutions.

#### Partial Fractions

Differentiated A level lesson plan and presentation to help students understand Partial Fractions. Starter, task, assessment and plenary for the lesson

#### Reference Cram Sheets - Table of Derivatives

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Test Preparation This is a complete table of the derivatives of all algebraic, trigonometric, exponential, logarithmic and hyperbolic functions that students taking AP Calculus through sophomore Linear Algebra and Ordinary Differential Equations are likely to see. The table contains 49 items, including basic properties and derivative formulas with some variations. This Table of Derivatives was designed as a companion to the Short and longer-form Table of Integrals. .pdf will not open on phone, use a computer or tablet.

#### Calculus Worksheet - Derivatives by Definition 1 - Polynomial and Rational Functions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheets (4 pages) This is the first worksheet in the Calculus - Differentiation Techniques series. It provides practice in calculating the derivatives of polynomial and rational functions by the definition.

#### Calculus Worksheet - Derivatives by Definition 2 - Radical Functions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheet (5 pages) This is the second worksheet in the Calculus - Differentiation Techniques series. It provides practice in calculating the derivatives of radical functions by the definition.

#### Calculus Worksheet - Derivatives by Definition 3 - Trigonometric, Exponential & Logarithmic Fcns.

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheets (5 pages) This is the third worksheet in the Calculus - Differentiation Techniques series. It provides practice in calculating the derivatives of trigonometric, exponential and logarithmic functions by the definition.

#### 7 GCSE/IGCSE worksheets (with answers)

7 Worksheets on the following topics: bounds, speed, solving quadratic equations by factorising, simplifying algebraic fractions, perfect squares, calculus and differentiation. Detailed solutions are provided. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Maths A level revision questions

This bundle includes question/answer files aimed at revising the topics from A level maths, and especially the Core 3 and Core 4 topics.

#### FSMQ revision questions

This bundle includes revision files for the FSMQ exam.

#### Derivatives for GCSE/GCSE worksheets

Three worksheets on differentiation. Detailed solutions are provided. Good for GCSE/IGCSE students. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Calculus worksheet (with solutions)

A worksheet on calculus. Good for GCSE/IGCSE students.From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Sketching Quartic Graphs table

A table which helps pupils to sketch quartic graphs. Some questions where pupils are required to work backwards, such as using the graph to work out equation.

#### 40 slide Powerpoint Advanced Higher Maths Complex Numbers Argand Diagrams Worked Solutions

40 slide Powerpoint for Advanced Higher Maths Unit 2: Complex Numbers. There is a brief revision of the basics of Complex numbers followed by a series of questions. The 24 questions (many of them multi-part) require the construction of Argand Diagrams, use of the quadratic formula, polynomial long division, and simultaneous equations. There are fully worked solutions (including diagrams) for complex number topics relating to: Equating Real and Imaginary Parts; Finding square, cube, fourth, fifth and sixth roots of complex numbers (including unity) and plotting them on an Argand diagram; Verifying and finding roots of complex number polynomials; Expanding and simplifying complex numbers using the Binomial Theorem and De Moivre’s Theorem; Interpreting geometrically loci in the complex plane; Conversions between polar and rectangular forms; Complex Conjugates; Exponential Form; Trigonometric identities, substitutions and simplification. The questions are grouped in approximate order of difficulty and to match the usual order of progress through this topic. *Animated workings come up line by line on mouse clicks.*

#### Polynomials- factor theorem and remainder theorem

Series of lessons on polynomials recommended order Factor Theorem Factor Theorem 2 (completely factorising) Remainder Theorem aimed at KS4 IGCSE Further Pure Maths but usuable with KS5 full worked examples on each with work included within the presentations in most cases. All answers provided. Hope you enjoy please leave feedback

#### The Remainder Theorem

Aimed at KS4 Further Pure IGCSE but easily adaptable for post 16 students. Powerpoint and worksheet (with answers) on the remainder theorem. Fully worked examples and answers given to all questions set. 4th lesson following on from dividing polynomials, factor theorem and factor theorem 2. Hope you like it please leave feedback (have amended it to remove an incorrect slide apologies) (worksheet is adapted by joezhou