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 activity will allow students to use their knowledge on trigonometry along with applications on their phone and computer to estimate the height of the tree. The students will use 3 different methods to measure the height of a tree and at the end will comment on which method is the most accurate assuming the last method is the closest estimate. Students really enjoyed going outside and applying their skills to this task. This activity is a great investigation for those looking to move in the the IB BP program.

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.

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 starter questions are for students targeting grades 7-9. Questions are taken from various exam boards and include solutions. Encourages students to think and apply their skills in different contexts. Entire PowerPoint includes over 50 questions in the following categories: Coordinate Geometry - Circles Geometric Problems and Proof Algebraic Proof Trigonometry Inequalities Functions Coordinate Geometry – Lines & Curves Sequences Algebraic Problems – including ratio Indices and Surds Statistics Extra

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.

The following contains PowerPoint goes through the following: -the normal distribution curve -calculating probabilities with and without technology -the standard normal distribution -calculating probabilities using z-score -using the inverse function -finding unknown mean and standard deviation 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.

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 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 presentation was created for the Applications and Interpretations SL course but can be used for any course such as A-levels that teach this topic. I have included exam question from both A-Level and the IB in the Presentation. The PowerPoint goes through the following: -linear sequences from GCSE -the nth term formula -embedded simultaneous equation problems -inequality problems -introduction to series and proof -both forms of writing the sum formula -sum problems involving inequalities -sigma notation -basic summation properties Throughout the PowerPoint there are worked examples along with exercises for students. I have also included a few video exam solutions with videos going through addition examples for students. There is also a video explain how the Arithmetic Sum formula evolved. 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.

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 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)

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 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.

Lesson 1: Quadratic Sequences Lesson 2: Completing the Square Lesson 3: Iteration Lesson 4: Composite Functions Each lesson includes worked examples and practice questions. Alternative methods are shown for completing the square. Iteration lesson includes a video and graphical representation of how iteration works to deepen student understanding.

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

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.

This activity requires students to gather data to construct a scatter graph. After students have constructed the scatter graph they then have to find the equation of the line of best fit and use that to make a prediction of how many bands are needed for the bungee jump. Calculations will be off which lead to the discussion of interpolation and extrapolation and why maths in the real world does not always match up with theoretical predictions. The PowerPoint comes with a worksheet that students will use to fill in. I have also attached an egg version. The activity will take at least 2 days. One day to gather their information and the second to test their predictions.

Here is a great activity to do as a group, pairs or individually. I haven’t created it but wanted to share it with others. This activity looks at quadratics given in different forms; table of values, graphically, in words, and in standard form. The idea is to see which birds hit the pigs. There are 5 versions of this activity which is great. Students don’t need to know about vertex form (completing the square) for this activity, but do need to understand that the axis of symmetry is half way between the roots.