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IB Maths AI: Voronoi Diagrams
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IB Maths AI: Voronoi Diagrams

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This complete lessons contains Desmos and GeoGebra interactives to demonstrate how to create voronoi diagrams, as well as examples. The lesson starts off with a review on finding equations of perpendicular bisectors then moves into a explorative task about voronoi diagrams. The lessons covers the following topics: equation of a perpendicular bisector how to construct a perpendicular bisector key terminology used when constructing voronoi diagrams how to construct a voronoi diagram with multiple sites finidng centre of a circle using perpendicular bisectors of cords finding locations of missing sites nearest neighbour adding new sites to a voronoi diagram toxic waste dump problems (largest circle) At the end this is a multiple choice quiz. There are also embedded link to Desmos Classroom activities. As well, throughout the PowerPoint there are worked examples and exercises and past paper exam questions for students to complete.
IB Maths Applications and Interpretation SL: Chapter 4 - Dividing Up Space
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IB Maths Applications and Interpretation SL: Chapter 4 - Dividing Up Space

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The PowerPoint follows chapter 4 from the Oxford textbook. There are worked examples, student exercises and past paper exam questions for each section. I have also embedded links to various Youtube, GeoGebra and Desmos activities and visuals to help improve student understanding. The PowerPoint contains the following content: recap piecewise functions the number plane distance between 2 points (2D & 3D) midpoint (2D & 3D) classifying triangles given coordinates coordinate geometry in 3D space gradients different forms of an equation of a line points of intersection parallel and perpendicular lines collinear points perpendicular bisectors shortest distance to a line
IB Maths Applications and Interpretation SL: Chapter 8 - Spearman's, Hypothesis Testing, Chi-Squared
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IB Maths Applications and Interpretation SL: Chapter 8 - Spearman's, Hypothesis Testing, Chi-Squared

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This unit contains 5 Powerpoints: Spearman’s rank hypothesis testing - chi-squared test of independence goodness of fit test goodness of fit - normal and binomial distributions t-test Through the PowerPoint there are links to Youtube videos, GeoGebra and Desmos interactive. The PowerPoint has worked examples, and student exercises. I have also put in past paper exam questions for each topic. I have also included an overall Statistics Test (2 parts short and long questions) and Chi-Squared test of Independence assignment, both with markschemes. As well as a review PowerPoint on the test of Independence. We sent a lot of time on this chapter as the idea was many students would use this for their IA’s, which they did.
IB Maths Applications and Interpretation SL: Chapter 5 - Modelling Constant Rates of Change
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IB Maths Applications and Interpretation SL: Chapter 5 - Modelling Constant Rates of Change

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The following PowerPoint covers the following topics following the Oxford textbook. Topics covered include: Functions * reation * domain and range * mapping diagrams * number system * set notation * interval notation * what is a function * vertical line test * function notation (numerical, graphical, and algebraic) * finding equation of functions from a mapping diagram Linear Models * recap equation of a line * rates of change * simultaneous equations * direct proportion * inverse functions * domain and range * horizontal line test (one-to-one) * finding inverse functions Arithmetic Sequences Arithmetic Series * sigma notation Simple interest Modelling Through the PowerPoint there are links to youtube videos, GeoGebra and Desmos interactives, and Desmos Classroom activities. The PowerPoint has worked examples, and student exercises. I have also put in past paper exam questions for each topic.
IB Maths: Applications and Interpretation SL - Exponential and Logarithmic Functions
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IB Maths: Applications and Interpretation SL - Exponential and Logarithmic Functions

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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.
IB Maths Applications and Interpretation SL: Chapter 6 - Modelling Relationships
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IB Maths Applications and Interpretation SL: Chapter 6 - Modelling Relationships

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The following PowerPoint covers Chapter 6 from the Oxford textbook. Modelling Relationships: Linear Correlation and Bivariate Data. The Lesson contains various interactive activities such as Desmos Classroom for review exercises, Geogebra and Phet Simulations for showing line of best fit, least-squares, etc. There are also video links on how to used the GDC to find correlation and linear regression. The PowerPoint covers the following content below. correlation review (from chapter 3) finding correlation coefficient (PMCC) discussion about covariance interpreting PMCC correlation and causation coefficient of determination line of best fit interpolation and extrapolation reliability linear regression residuals piecewise functions * step functions All my PowerPoints have worked examples and exercises for students to complete. I have also added past paper questions in each section to get students accustom to the type and style of questions they will see on their exam. This PowerPower in particular comes with a Microsoft Teams quiz on Correlation and Linear Regression.
IB Maths Applications and Interpretation SL: Functions
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IB Maths Applications and Interpretation SL: Functions

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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.
IB Maths Applications and Interpretation SL: Statistics - Data Collection & One -Variable Analysis
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IB Maths Applications and Interpretation SL: Statistics - Data Collection & One -Variable Analysis

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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.
IB Maths Applications and Interpretation SL: Chapter 7 - Probability, Binomial/Normal Distributions
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IB Maths Applications and Interpretation SL: Chapter 7 - Probability, Binomial/Normal Distributions

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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.
IB Maths Applications and Interpretation SL: Chapter 3 - Representing and Describing Data
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IB Maths Applications and Interpretation SL: Chapter 3 - Representing and Describing Data

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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.
GCSE 9-1 Maths Geometric Sequences and Exponential Functions
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GCSE 9-1 Maths Geometric Sequences and Exponential Functions

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The following PowerPoint will take at least 2 days to complete. The lesson starts with Geometric Sequences and links it to Exponential Functions. The lesson also looks at the connection between geometric sequences, exponential functions and compound interest. By the end of the lesson students should be able to find the nth term of a geometric sequence and the equation of an exponential function.
IB Maths Applications and Interpretation SL: Functions - Quadratics and Cubic
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IB Maths Applications and Interpretation SL: Functions - Quadratics and Cubic

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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.
IB Maths Applications and Interpretation SL: Functions - Exponential & Logarithmic
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IB Maths Applications and Interpretation SL: Functions - Exponential & Logarithmic

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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.
GCSE 9-1 Maths Trigonometry Exact Values
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GCSE 9-1 Maths Trigonometry Exact Values

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The following PowerPoint contains about 3-4 days worth of lessons and is a complete package for teaching exact values to students (targeting students grades 7+). Lessons Include: Introduction to Exact Values Evaluating using Exact Values Application Problems (including surds) Problems involving Algebra (including quadratics) The Lesson walks through the basic trigonometric ratios and special triangles introducing trigonometric graphs and alternative ways of remembering 0 and 90 degree angles. Various questions from multiple exam boards and textbooks have been use to give students a range of contexts to apply special triangles. QUestions used tend to incorporate multiple transferable skills such as: surds, algebraic fractions, quadratics, sine law, area of non-right angle triangles etc. Lesson is to be used after students have mastered basic right angle trigonometry and some questions are only useful if students have learn non-right angle trigonometry.
Common Factoring - Introductory Lesson
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Common Factoring - Introductory Lesson

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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.
GCSE 9-1 Maths Digit Proofs
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GCSE 9-1 Maths Digit Proofs

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For those higher achieving students looking to get a grade 9. As proofs is new to the Edexcel specification, digit proofs is not common but has shown up on a Mock Exam.
Simultaneous Equations - Indices
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Simultaneous Equations - Indices

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The following problem incorporates linear simultaneous equations within an index problem (prime factorization). This question is for those students looking to get 8+ and have the ability to transfer various skills to different contexts. Though this is only one question it will take a lot of time for students to attempt and then walk through the solution. The solution is attached to the slides.