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Mathematics
IB Maths Applications and Interpretation: Chapter 1 - Measuring Space
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.
IB Maths Applications and Interpretation SL: Chapter 12 - Differential Calculus
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.
IB Maths Applications and Interpretation SL: Chapter 11 - Trigonometric Functions
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.
Angry Birds: Quadratics Project
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.
IB Maths Applications and Interpretation SL: Financial Mathematics
The following contains 4 PowerPoints covering the following topics:
Simple Interest
Compound Interest
Inflation
Depreciation
Loans
Annuities
Amortization
Each PowerPoint contains worked examples, student exercises and Past Exam questions. There are also links throughout to various YouTube explanations (eg. difference between simple interest and compound interest, what is amortization?, etc.), How to use the GDC examples, Desmos, and Geogebra interactives.
IB Maths Applications and Interpretation SL: Jeopardy Revision Game
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.
Trigonometry - Tree Measuring
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.
IB Maths Analysis and Approaches SL: Rational Functions
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.
IB Maths Applications and Interpretation SL: Optimisation
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.
IB Maths Applications and Interpretation SL: Chapter 13 - Integration
This unit contains 2 Powerpoints:
Integration
Trapezium Rule
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.
IB Maths Analysis and Approaches SL: Jeopardy Revision Game
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.
IB Maths Analysis and Approaches SL: Transformations
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).
GCSE 9-1 Maths Digit Proofs
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.
Linear Functions - Straight Line Graph Quizzes
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)
Embedded Linear Simultaneous Equations
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.
GCSE 9-1 Maths Starters (Target Grades 4-6)
20 Maths starters for targeting grades 4 - 6 on a Higher Paper. Also works well if teaching a boarder line class with a few students writing the Foundation Exam. Most starters have complete solutions. Questions are taken from various Edexcel Exam papers and contains questions from levels 4 - 9. Certain higher level questions are given for students to transfer their skills and obtain some of the marks.
GCSE 9-1 Maths Higher Level Starters (Target 8-9)
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
Common Factoring - Introductory Lesson
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 Must Know Topics
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.
IB Maths Analysis and Approaches SL: Quadratic Inequalities
I used this lesson before going into the quadratic formula and the discriminant.