In this investigation, students use their knowledge of linear and quadratic functions to explore the intersects as variables change. Including the assessment, rubric, task specific clarification, marking guidelines and sample answer. Recommended for MYP5. Use of Desmos or Geogebra to graph is required.

Overview This booklet is ideal for students preparing for the eAssessment or at the end of MYP5/beginning of DP to review prior learning. Comes with mark scheme and cover sheet for reflection. Each booklet has three sections (communication is assessed throughout) which should take 20 - 25 minutes each: Section 1: 4 short/medium questions assessing knowing and understanding (criteria A and C) Section 2: a real life application question (criteria D and C) Section 3: an investigation (criterion B and C) Note: there is space to answer section 1 questions in the booklet but, due to the nature of an application problem and investigation, it is advised that students do this on a separate paper. Specific Topics in this booklet: Trigonometry (2 marks) Averages (4 marks) Simultaneous equations (6 marks) Formulae (rearranging and substitution) (8 marks) Real life - proportion in a scientific context (20 marks) Investigation - probability leading to geometric patterns (20 marks) How to use Homework - it is expected that students will need 72 minutes for the whole booklet so it could be given over a longer period of time or each section could be given as a shorter task. If students were self-assessing against the markscheme, this could very nicely fit into three 30 minute homework tasks. Developed into a unit assessment - the real life problem and investigation can both easily be developed into criteria based assessments purely by removing the subparts and giving students the flexibility to choose their own methods to solve the problem posed. All strands of criterion B and D are assessed in each booklet. Note: you would need to create your own rubric/task specific clarifications for this but the solutions on the markscheme would still be applicable. In class assessment - for those preparing for the eAssessment this is a great resource to test on demand recall of mixed concepts. Again, if a lesson or double lesson time does not allow for 72 minutes of assessment, different sections of the booklet can be given over a series of lessons. Class activity - end of MYP review, start of DP prior knowledge check, revision activity. Questions could be given as a quiz, a relay, a team challenge etc. Self study - some students will want a resource to prepare for the eAssessment, or for general review of their learning at the end of MYP. Coupled with the markscheme, students can work through this independently. Basis for a study plan - the reflection and next steps section can be used once the marks are filled into the given table. Students should note their strengths and areas for improvement (either mathematical concept e.g. trigonometry, or criterion specific e.g. verifying a general rule). This will make it easier to set goals and plan next steps for progress.

Support your students as they prepare for the eAssessment with this FULL (100 marks, 2 hours) mock/practice paper that you can assign physically as a PDF or digitally via a unique Desmos link. Includes: Printable questions Link to Desmos version of activity Thorough markscheme and recommended grade boundaries Colour coded grading sheet to help provide student feedback What makes this resource great: -Questions on topics from all four branches (numerical and abstract reasoning, thinking with models, spatial reasoning and reasoning with data). -Follows the structure of the real e-assessment with five criterion A test questions, two criterion D real life problems and one extended criterion B investigation. -No extended topics from the skills framework are included, making this suitable for all students. Note: while the Desmos task will let students practice typing responses and has an on-screen calculator, the tech is not as extensive as the real e-assessment (no auto copy from the calculator, no timer, fewer interactivities and media additions). It is advised to have them download past e-assessments from myib if possible, or practise completing tasks on assessprep if your school has this package. Please send through any feedback or questions that would enable this to be a more useful resource for you.

In this investigation, students use their knowledge of showing outcomes by listing and sample space diagrams to explore the chances of winning in different games. Including the assessment, rubric, task specific clarification, marking guidelines and sample answer. Recommended for MYP2.

In this investigation, students use their knowledge of the sine function and transformations of functions to explore key points on the curve. Including the assessment, rubric, task specific clarification, marking guidelines and sample answer. Recommended for MYP5 extended. Use of Desmos (or Geogebra) is required.

In this investigation, students use their knowledge of perimeter and linear sequences to explore properties of a uniquely defined shape. Including the assessment, rubric, task specific clarification, marking guidelines and sample answer. Recommended for MYP4.

In this investigation, students use their knowledge of mean, standard deviation and variance to explore progressing sets of numbers. Including the assessment, rubric, task specific clarification, marking guidelines and sample answer. Recommended for MYP4 extended. Use of maths is fun standard deviation calculator is recommended.

Overview This booklet is ideal for students preparing for the eAssessment or at the end of MYP5/beginning of DP to review prior learning. Comes with mark scheme and cover sheet for reflection. Each booklet has three sections (communication is assessed throughout) which should take 20 - 25 minutes each: Section 1: 4 short/medium questions assessing knowing and understanding (criteria A and C) Section 2: a real life application question (criteria D and C) Section 3: an investigation (criterion B and C) Note: there is space to answer section 1 questions in the booklet but, due to the nature of an application problem and investigation, it is advised that students do this on a separate paper. Specific Topics in this booklet: Quadratic functions (2 marks) Exponent laws (4 marks) Mean from a frequency table (6 marks) Ratio (8 marks) Real life - statistics in an identities and relationships context (20 marks) Investigation - divisibility leading to arithmetic patterns (20 marks) How to use Homework - it is expected that students will need 72 minutes for the whole booklet so it could be given over a longer period of time or each section could be given as a shorter task. If students were self-assessing against the markscheme, this could very nicely fit into three 30 minute homework tasks. Developed into a unit assessment - the real life problem and investigation can both easily be developed into criteria based assessments purely by removing the subparts and giving students the flexibility to choose their own methods to solve the problem posed. All strands of criterion B and D are assessed in each booklet. Note: you would need to create your own rubric/task specific clarifications for this but the solutions on the markscheme would still be applicable. In class assessment - for those preparing for the eAssessment this is a great resource to test on demand recall of mixed concepts. Again, if a lesson or double lesson time does not allow for 72 minutes of assessment, different sections of the booklet can be given over a series of lessons. Class activity - end of MYP review, start of DP prior knowledge check, revision activity. Questions could be given as a quiz, a relay, a team challenge etc. Self study - some students will want a resource to prepare for the eAssessment, or for general review of their learning at the end of MYP. Coupled with the markscheme, students can work through this independently. Basis for a study plan - the reflection and next steps section can be used once the marks are filled into the given table. Students should note their strengths and areas for improvement (either mathematical concept e.g. trigonometry, or criterion specific e.g. verifying a general rule). This will make it easier to set goals and plan next steps for progress.

Overview This booklet is ideal for students preparing for the eAssessment or at the end of MYP5/beginning of DP to review prior learning. Comes with mark scheme and cover sheet for reflection. Each booklet has three sections (communication is assessed throughout) which should take 20 - 25 minutes each: Section 1: 4 short/medium questions assessing knowing and understanding (criteria A and C) Section 2: a real life application question (criteria D and C) Section 3: an investigation (criterion B and C) Note: there is space to answer section 1 questions in the booklet but, due to the nature of an application problem and investigation, it is advised that students do this on a separate paper. Specific Topics in this booklet: Inequalities (2 marks) Scientific notation/standard form (4 marks) Linear functions (6 marks) Representing data (8 marks) Real life - circles in a personal and cultural expression context (20 marks) Investigation - exponential functions leading to geometric patterns (20 marks) How to use Homework - it is expected that students will need 72 minutes for the whole booklet so it could be given over a longer period of time or each section could be given as a shorter task. If students were self-assessing against the markscheme, this could very nicely fit into three 30 minute homework tasks. Developed into a unit assessment - the real life problem and investigation can both easily be developed into criteria based assessments purely by removing the subparts and giving students the flexibility to choose their own methods to solve the problem posed. All strands of criterion B and D are assessed in each booklet. Note: you would need to create your own rubric/task specific clarifications for this but the solutions on the markscheme would still be applicable. In class assessment - for those preparing for the eAssessment this is a great resource to test on demand recall of mixed concepts. Again, if a lesson or double lesson time does not allow for 72 minutes of assessment, different sections of the booklet can be given over a series of lessons. Class activity - end of MYP review, start of DP prior knowledge check, revision activity. Questions could be given as a quiz, a relay, a team challenge etc. Self study - some students will want a resource to prepare for the eAssessment, or for general review of their learning at the end of MYP. Coupled with the markscheme, students can work through this independently. Basis for a study plan - the reflection and next steps section can be used once the marks are filled into the given table. Students should note their strengths and areas for improvement (either mathematical concept e.g. trigonometry, or criterion specific e.g. verifying a general rule). This will make it easier to set goals and plan next steps for progress.

Engage your students and connect with the core of the IB with this easy start of year activity. It allows you to get to know your class AND create a display showing off their unique learner profile. Alternatively, a fun activity at any time of the year to lead into learning about or reflecting on the learner profile attributes. Suitable for older primary or secondary students (could be adapted for younger students by making the wording more accessible or including pictures.) How to use: Each student gets a copy of the Google sheet (or print a physical version). There are 5 questions. Each one has 10 answers (corresponding to the 10 learner profile traits). Students need to rank the answers from 10 (most likely) to 1 (least likely). On the last tab, the total points for each trait is shown alongside two graphs (pie/donut chart and a horizontal bar chart). For a display, the graphs can be printed as is with the student’s name added. Or using the scores, students could design their own “profile” using the result table (e.g. a pyramid or a drawing of their profile with a word cloud inside showing higher ranking traits larger.) If printed and completed as a physical quiz, totals need to be manually calculated. Questions: It’s a hot day, what are you cooling down with? Over the next 20 years, what job could you imagine yourself in? You are assigned to a group for a project, what are you doing? You are given some gifts, which are you most happy about? Your school plans an afternoon off timetable, which activity would you sign up to? Also included is a supporting document that explains how each answer links to the assigned learner profile trait.

Overview This booklet is ideal for students preparing for the eAssessment or at the end of MYP5/beginning of DP to review prior learning. Comes with mark scheme and cover sheet for reflection. Each booklet has three sections (communication is assessed throughout) which should take 20 - 25 minutes each: Section 1: 4 short/medium questions assessing knowing and understanding (criteria A and C) Section 2: a real life application question (criteria D and C) Section 3: an investigation (criterion B and C) Note: there is space to answer section 1 questions in the booklet but, due to the nature of an application problem and investigation, it is advised that students do this on a separate paper. Specific Topics in this booklet: Linear functions (2 marks) Surds/radicals (4 marks) Ratio (6 marks) Angles and equations (8 marks) Real life - trigonometry in an orientation in space and time context (20 marks) Investigation - perimeter leading to arithmetic patterns (20 marks) How to use Homework - it is expected that students will need 72 minutes for the whole booklet so it could be given over a longer period of time or each section could be given as a shorter task. If students were self-assessing against the markscheme, this could very nicely fit into three 30 minute homework tasks. Developed into a unit assessment - the real life problem and investigation can both easily be developed into criteria based assessments purely by removing the subparts and giving students the flexibility to choose their own methods to solve the problem posed. All strands of criterion B and D are assessed in each booklet. Note: you would need to create your own rubric/task specific clarifications for this but the solutions on the markscheme would still be applicable. In class assessment - for those preparing for the eAssessment this is a great resource to test on demand recall of mixed concepts. Again, if a lesson or double lesson time does not allow for 72 minutes of assessment, different sections of the booklet can be given over a series of lessons. Class activity - end of MYP review, start of DP prior knowledge check, revision activity. Questions could be given as a quiz, a relay, a team challenge etc. Self study - some students will want a resource to prepare for the eAssessment, or for general review of their learning at the end of MYP. Coupled with the markscheme, students can work through this independently. Basis for a study plan - the reflection and next steps section can be used once the marks are filled into the given table. Students should note their strengths and areas for improvement (either mathematical concept e.g. trigonometry, or criterion specific e.g. verifying a general rule). This will make it easier to set goals and plan next steps for progress.

Overview This booklet is ideal for students preparing for the eAssessment or at the end of MYP5/beginning of DP to review prior learning. Comes with mark scheme and cover sheet for reflection. Each booklet has three sections (communication is assessed throughout) which should take 20 - 25 minutes each: Section 1: 4 short/medium questions assessing knowing and understanding (criteria A and C) Section 2: a real life application question (criteria D and C) Section 3: an investigation (criterion B and C) Note: there is space to answer section 1 questions in the booklet but, due to the nature of an application problem and investigation, it is advised that students do this on a separate paper. Specific Topics in this booklet: Set notation (2 marks) Travel timetables and lowest common multiple (4 marks) Direct and inverse proportion (6 marks) Circle theorems (8 marks) Real life - functions in a globalisation and sustainability context (20 marks) Investigation - transformations leading to arithmetic patterns (20 marks) How to use Homework - it is expected that students will need 72 minutes for the whole booklet so it could be given over a longer period of time or each section could be given as a shorter task. If students were self-assessing against the markscheme, this could very nicely fit into three 30 minute homework tasks. Developed into a unit assessment - the real life problem and investigation can both easily be developed into criteria based assessments purely by removing the subparts and giving students the flexibility to choose their own methods to solve the problem posed. All strands of criterion B and D are assessed in each booklet. Note: you would need to create your own rubric/task specific clarifications for this but the solutions on the markscheme would still be applicable. In class assessment - for those preparing for the eAssessment this is a great resource to test on demand recall of mixed concepts. Again, if a lesson or double lesson time does not allow for 72 minutes of assessment, different sections of the booklet can be given over a series of lessons. Class activity - end of MYP review, start of DP prior knowledge check, revision activity. Questions could be given as a quiz, a relay, a team challenge etc. Self study - some students will want a resource to prepare for the eAssessment, or for general review of their learning at the end of MYP. Coupled with the markscheme, students can work through this independently. Basis for a study plan - the reflection and next steps section can be used once the marks are filled into the given table. Students should note their strengths and areas for improvement (either mathematical concept e.g. trigonometry, or criterion specific e.g. verifying a general rule). This will make it easier to set goals and plan next steps for progress.

To effectively prepare your class for the MYP Mathematics eAssessment, use all four learning experiences (1 hour+ each) which provide students with everything they need to be successful. THIS RESOURCE Lesson 2 - preparing for part 1/criterion A questions. Working through an unfamiliar problem together, understanding what topics could come up, guidance for creating a study plan, mixed topic questions to be used for a group quiz or independently. Bonus resource: digital self-assessment checklist with suggested resources to help revision. OTHER RESOURCES Lesson 1 - detailing the structure of the test, gathering student’s knowledge and questions around the eAssessment, unpacking the command terms through a crossword and wordsearch, familiarising students with the digital tools used, navigating what good communication looks like and suggestions for criterion C related activities. Plenty of “top tips” included throughout. Bonus resource: an interactive notebook with command term definitions, formula book, and useful mathematical notation. Lesson 3 - preparing for part 2/criterion D real life problems. With a focus on understanding what is meant by “relevant factors” and “justifying” an answer and it’s accuracy. Including one eAssessment style real life problem with attached checklist for self or peer marking. Lesson 4 - preparing for part 3/criterion B investigation. An opportunity to check students prior knowledge of different types of sequences, a focus in how to use the context to write a general rule and justify it. Relevant command terms are explicitly defined with common mistakes clarified. Including one eAssessment style investigation with attached checklist for self or peer marking.

In this investigation, students use their knowledge of translation, rotation and reflection to explore the effect on coordinates after transformations. Including the assessment, rubric, task specific clarification, marking guidelines and sample answer. Recommended for MYP3. Optional use of Geogebra to help with transformations, but can be done on paper.

In this investigation, students use their knowledge of rectangles to identify how to maximise areas based on perimeters with different constraints. Including the assessment, rubric, task specific clarification, marking guidelines and sample answer. Recommended for MYP1.

Overview This booklet is ideal for students preparing for the eAssessment or at the end of MYP5/beginning of DP to review prior learning. Comes with mark scheme and cover sheet for reflection. Each booklet has three sections (communication is assessed throughout) which should take 20 - 25 minutes each: Section 1: 4 short/medium questions assessing knowing and understanding (criteria A and C) Section 2: a real life application question (criteria D and C) Section 3: an investigation (criterion B and C) Note: there is space to answer section 1 questions in the booklet but, due to the nature of an application problem and investigation, it is advised that students do this on a separate paper. Specific Topics in this booklet: Perimeter and Area (2 marks) Two way tables (4 marks) Quadratic functions (6 marks) Trigonometry and bearings (8 marks) Real life - probability in a fairness and development context (20 marks) Investigation - coordinate geometry leading to arithmetic patterns (20 marks) How to use Homework - it is expected that students will need 72 minutes for the whole booklet so it could be given over a longer period of time or each section could be given as a shorter task. If students were self-assessing against the markscheme, this could very nicely fit into three 30 minute homework tasks. Developed into a unit assessment - the real life problem and investigation can both easily be developed into criteria based assessments purely by removing the subparts and giving students the flexibility to choose their own methods to solve the problem posed. All strands of criterion B and D are assessed in each booklet. Note: you would need to create your own rubric/task specific clarifications for this but the solutions on the markscheme would still be applicable. In class assessment - for those preparing for the eAssessment this is a great resource to test on demand recall of mixed concepts. Again, if a lesson or double lesson time does not allow for 72 minutes of assessment, different sections of the booklet can be given over a series of lessons. Class activity - end of MYP review, start of DP prior knowledge check, revision activity. Questions could be given as a quiz, a relay, a team challenge etc. Self study - some students will want a resource to prepare for the eAssessment, or for general review of their learning at the end of MYP. Coupled with the markscheme, students can work through this independently. Basis for a study plan - the reflection and next steps section can be used once the marks are filled into the given table. Students should note their strengths and areas for improvement (either mathematical concept e.g. trigonometry, or criterion specific e.g. verifying a general rule). This will make it easier to set goals and plan next steps for progress.

A teacher handbook with abundant resources resulting in a book that is essential for every MYP mathematics department. With a particular focus on supporting teachers new to the IB Middle Years Programme, the first half can be viewed as a handbook or mini-course explaining the purpose of “Investigating Patterns” in the MYP, how to teach towards objective B, how to create criteria B assessments and how to standardise and grade these assessments. The book includes a helpful 10 step guide to creating a criteria B investigation and writes one alongside the reader. In the second half, there are 10 additional investigations which come with task-specific clarifications, rubrics, solutions and marking guidelines. They cover the four branches of mathematical study (numerical and abstract reasoning, thinking with models, spatial reasoning and reasoning with data), the three key concepts (form, logic and relationships) and all year levels (MYP1 - 5, including two examples for the extended classes in MYP 4 and MYP5). This is a must-have for every MYP school as it can be used as a supporting tool for new teachers but also a reference or resource bank for the rest of the mathematics department. Note: this book corresponds with the new maths course (2020/2021). This work/product/service has been developed independently from and is not endorsed by the International Baccalaureate Organization

To effectively prepare your class for the MYP Mathematics eAssessment, use all four learning experiences (1 hour+ each) which provide students with everything they need to be successful. THIS RESOURCE Lesson 3 - preparing for part 2/criterion D real life problems. With a focus on understanding what is meant by “relevant factors” and “justifying” an answer and it’s accuracy. Including one eAssessment style real life problem with attached checklist for self or peer marking. OTHER RESOURCES Lesson 1 - detailing the structure of the test, gathering student’s knowledge and questions around the eAssessment, unpacking the command terms through a crossword and wordsearch, familiarising students with the digital tools used, navigating what good communication looks like and suggestions for criterion C related activities. Plenty of “top tips” included throughout. Bonus resource: an interactive notebook with command term definitions, formula book, and useful mathematical notation. Lesson 2 - preparing for part 1/criterion A questions. Working through an unfamiliar problem together, understanding what topics could come up, guidance for creating a study plan, mixed topic questions to be used for a group quiz or independently. Bonus resource: digital self-assessment checklist with suggested resources to help revision. Lesson 4 - preparing for part 3/criterion B investigation. An opportunity to check students prior knowledge of different types of sequences, a focus in how to use the context to write a general rule and justify it. Relevant command terms are explicitly defined with common mistakes clarified. Including one eAssessment style investigation with attached checklist for self or peer marking.