The following are 5 quizzes created for online teaching through Microsoft Teams. All 5 quizzes are multiple choice, so self marking. The 5 quizzes cover the entire topic of linear functions which are as follow: Straight Line Graphs; graphing, finding an equation, finding gradient, interpreting equation, rearranging equations (25 questions) Parallel and Perpendicular Lines (19 questions) Modelling Linear Functions – Real Life Graphs (14 questions) Distance and Midpoint (10 questions) Equations of Perpendicular Bisectors (5 questions)

The following lesson goes through the following: -Optimisation without calculus -The second derivative -Optimisation with calculus The lesson contains worked examples along with IB practice problems.

30+ linear simultaneous equation problems. The PowerPoint starts with a quick recap on how to solve using either substitution or elimination. Most problems require students to transfer skills from other contexts in order to solve the problem. Problems include, linear and quadratic sequence, equations of quadratic graphs, angle properties, equation of a line, area and perimeter, index rules, HCF & LCM, pressure and density, etc.

The following four presentation was created for the Applications and Interpretations SL course following the order of teaching for the Kognity textbook but can also be used with the Pearson or Oxford textbook. The following PowerPoints go through the following: Introduction to Statistics -types of data - qualitative and quantitative -types of data - discrete and continuous -collecting data - primary and secondary -population, sample, census -choosing a good sample - sampling frame, sampling unit, etc. -sampling bias -reliability vs validity -questionnaires -what makes a good survey - eg. biased questions, vague questions, leading questions, etc. Sampling Techniques -types of sampling - simple random, stratified, systematic, voluntary, convenience, and quota -pros and cons for each **Measures of Central Tendency ** -mean, median and mode -skewed data -difference between population mean and sample mean -grouped and un-grouped data -how to use GDC -outliers -effect of outliers on mean and median -combined mean Measures of Spread -Range, IQR, variance, and standard deviation -lower quartile and upper quartile -how to use GDC -difference between population and sample standard deviation -effects of SD on normal distribution curve -normal distribution curve *transformation of data *outliers using mean and SD Throughout the PowerPoint there are worked examples along with exercises for students. I have also included a few Desmos and Geogebra interactive links to help students get a better understanding of the concepts through visuals. At the end of each section I have included IB exam questions so students get get practice to the types and style of questioning they should expect to see when they write their exams. I also have included a few thinking questions, a few taken from A Level maths exams. There are also links to YouTube videos to help students understanding with certain content.

This unit contains a Powerpoint which goes through the following: -periodic functions -sine, cosine, and tangent curves -transformations of sinusoidal functions -sketching -finding equations -modeling questions Through the PowerPoint there are links to Youtube videos, GeoGebra and Desmos interactives. The PowerPoint has worked examples, and student exercises. I have also put in past paper exam questions for each topic.

This unit contains 2 Powerpoints: Differentiation Optimisation Through the PowerPoint there are links to Youtube videos, GeoGebra and Desmos interactives. The PowerPoint has worked examples, and student exercises. I have also put in past paper exam questions for each topic. I have also included a worksheet with solutions.

This PowerPoint follows the Oxford textbook. The following content is covered throughout the PowerPoint. I have also added a few extra concepts which can be used in students Internal Assessments (IA). For example, I spend a little time looking at the skewness formula, different ways of calculating outliers, 1.5 x IQR or 2 X SD, skewness in box plots, etc. Univariate data * qualitative vs quantitative * continuous vs discrete * which representations are used for specific types of data * primary and secondary data * choosing a good sample * sampling bias * reliability vs validity * skewness Questionnaires * biased questions Measures of central tendency * mean, meadian, mode * outliers * un-grouped and grouped * how to use the GDC * combined mean Measures of dispersion * range, quartiles, IQR, standard deviation * normal distribution curve * skewness * different formulas for sample and population for SD * how to use the GDC * effects on mean and SD Sampling techniques Presentation of data Bivariate data * scatter graphs * correlation * introduction into the line of best fit (leading into chapter 6) Throughout the PowerPoint there are worked examples and student exercises. There are also multiple links to various classroom and interactive activities using GeoGebra and Desmos Classrooms. As well, I have included links to certain Youtube videos to help with using the GDC.

The following contains 5 PowerPoints: Introduction to Probability Venn Diagrams Probability DIstributions Normal DIstributions Binomial DIstributions Through the PowerPoint there are links to Youtube videos, GeoGebra and Desmos interactives. The PowerPoint has worked examples, and student exercises. I have also put in past paper exam questions for each topic. I have also included a Normal Distibution Review PPT and assignment with markscheme.

The PowerPoint covers the complete content of Chapter 2 of the Oxford textbook. I have also added a few extension topics which build upon what students are learning and will be useful further in the course. Topics cover in the PowerPoint include: The sine law * the ambiguous case The cosine law Area of non-right angle triangles Algebraic triangle problems 3D Problems involving non-right angle triangles Area of sectors Area of Segments 3D shapes * surface area * volume * writing expressions * algebraic problems * capacity There are also Past Paper questions embedded into the lesson along with various GeoGebra and Desmos interactive activities.

Complete PowerPoints for Chapter 10 - Modelling Rates of Change: Exponential and Logarithmic Functions, for the Oxford textbook. The PowerPowers can be used with other textbooks. PowerPoints are built around students learning the the following topics online, but can also be used to deliver in-class. PowerPoints have embedded links to video examples, Desmos activities, GeoGebra, and Casio GDC videos. The following is the topics that the 8 PowerPoints cover. Geometric Sequences Geometric Series Compound Interest Annuities Amortization Exponential Functions Exponential Models Exponential & Logarithmic Equations There are also Past Paper questions in each section of the unit.

The following presentation was created for the Applications and Interpretations SL course following the order of teaching for the Kognity textbook but can also be used with the Pearson or Oxford textbook. The PowerPoint goes through the following: -what is a relation? -domain and range -set and interval notation -vertical asymptotes -what is a function? -mapping diagrams -vertical line test -function notation -forming equations from mapping diagrams -linear models -linear simultaneous equations -inverse functions -horizontal line test -domain and range for inverse functions -piecewise functions Throughout the PowerPoint there are worked examples along with exercises for students. I have also included a few Desmos and Geogebra interactive links to help students get a better understanding of the concepts through visuals. At the end of each section I have included IB exam questions so students get get practice to the types and style of questioning they should expect to see when they write their exams.

The following presentation was created for the Applications and Interpretations SL course following the order of teaching for the Kognity textbook but can also be used with the Pearson or Oxford textbook. The PowerPoint goes through the following: Exponential Functions -function notation -asymptotes (horizontal and vertical) -exponential graphs -transformations of exponential graphs -solving exponential equations (various forms) -modeling exponential functions Sinusoidal Functions -periodic functions -trigonometric graphs -transformations of trigonometric functions -sketching graphs with transformations -finding the equations of trigonometric functions -modeling functions Throughout the PowerPoint there are worked examples along with exercises for students. I have also included a few Desmos and Geogebra interactive links to help students get a better understanding of the concepts through visuals. At the end of each section I have included IB exam questions so students get get practice to the types and style of questioning they should expect to see when they write their exams. I also have included a few thinking questions, a few taken from American SAT exams. There are also links to YouTube videos to help students understanding with certain content.

The following presentation was created for the Applications and Interpretations SL course following the order of teaching for the Kognity textbook but can also be used with the Pearson or Oxford textbook. The PowerPoint goes through the following: -recaps domain and range -recaps x- and y-intercepts -recaps asymptotes -how to use the GDC to sketch functions and find domain and range -how to find x-intercepts -composite functions -operations with functions (addition, subtraction, multiplication and division) -what is a a Power function? -leading coefficient -even and odd degree polynomials -quadratic functions - all 3 forms (standard, factored, and vertex form) -axis of symmetry -finding equations from graphs -application questions -cubic functions -inverse cubic functions -sketching both quadratic and cubic graphs -finding equations of cubic graphs -application question with cubic functions Throughout the PowerPoint there are worked examples along with exercises for students. I have also included a few Desmos and Geogebra interactive links to help students get a better understanding of the concepts through visuals. At the end of each section I have included IB exam questions so students get get practice to the types and style of questioning they should expect to see when they write their exams. I also have included a few thinking questions, a few taken from American SAT exams. There are also links to YouTube videos to help students understanding with certain questions.

The following contains 3 PowerPoints which go through the following. PPT1 -what is a quadratic function? -key features of a parabola -factoring and solving quadratics -axis of symmetry -understanding the 3 forms of a quadratic -completing the square (vertex form) -sketching quadratics -finding equations of quadratic functions PPT2 -quadratic inequalities PPT3 -the quadratic formula and the discriminant The PowerPoints have worked examples, and student exercises. I have also put in past paper exam questions for each topic.

The following activity is a great way to spend last couple days revising. The game has all the music and sounds like the real game.

The following contains PowerPoint goes through the following: -the reciprocal function -recap some transformations which has been learnt earlier -horizontal and vertical asymptotes (vertical asymptotes have been mentioned earlier when students learnt domain and range) -sketching rational functions looking at end behaviours -finding horizontal asymptotes by taking the limit and by making x the subject (2 methods) -solving algebraic fractions -inverse functions -application questions The PowerPoints have worked examples, and student exercises. I have also put in past paper exam questions for each topic. There are also links to videos and inter-actives throughout.

This game is intended for an EOY 12 Exam. Units covered during the year were Number & Algebra, Functions, and Statistics and Probability. There is no probability questions in this game. The game has all the music and sounds like the real game on TV. Students really enjoy it.

The following lesson goes through the following: -translations -enlargements (vertical and horizontal) -reflections (both axis) -parent functions The PowerPoint has worked examples, and student exercises. I have also put in past paper exam questions for each topic. The idea of this lesson is for students to understand transformations and apply it to any function, hence why I talk about different parent functions (base curves).

The Following lesson introduces the concept of common factoring through numerical calculators where students find quicker and easier ways to mental calculator sums through the use of common factoring. It then moves on to algebraic factoring with visual displays (algebraic tiles) and finishes with piecewise factoring. The idea is to move from piecewise factoring onto expanding double brackets.

This PowerPoint follows the entire content for Chapter 1 of the Oxford textbook. Certain topics included are not in chapter 1 but builds on the skills students are currently learning in the chapter and will be useful later on. For example, for the simplifying indices topic I go a little further into writing indices in non-fractional form which is useful for when you teach derivatives. Conent covered through the PowerPoint include: Measurements and Estimates Rounding and Significant Figures Upper and Lower Bounds Measurement Error Percentage Error Basic Exponent Rules * changing bases * writing in non-fractional form Standard form (scientific notation) Right angle trigonometry * Pythagoras * proving right angle triangles * algebraic problems * SOH-CAH-TOA * elevation and depression * problems involving circles * 3D problems * problems involving special quadrilaterals * angles between lines and planes Arc Length Throughout the PowerPoint you will find GeoGebra links (click the icon) as well as Past Paper questions. There are also worked examples and exercises for students to complete throughout the lesson.