A set of problems related to Vectors and Transformations (studied in IGCSE). Self-made problems by considering Low Floor, High Ceiling approach to jump start discussions to introduce a topic. Best used prior to introducing any method or mathematical concepts to students. Let the students explore and collaborate one another in groups. After some explorations, when needed, students may ask us as the facilitators to introduce the necessary mathematical methods or concepts that could help them solve the problems. Otherwise, we could use the group discussion results to lead them to the introduction of the concept.

A set of problems related to Differentiation (studied in IGCSE). Self-made problems by considering Low Floor, High Ceiling approach to jump start discussions to introduce a topic. Best used prior to introducing any method or mathematical concepts to students. Let the students explore and collaborate one another in groups. After some explorations, when needed, students may ask us as the facilitators to introduce the necessary mathematical methods or concepts that could help them solve the problems. Otherwise, we could use the group discussion results to lead them to the introduction of the concept.

A set of problems related to Circle Theorems (cirlces and angles, studied in IGCSE). Self-made problems by considering Low Floor, High Ceiling approach to jump start discussions to introduce a topic. Best used prior to introducing any method or mathematical concepts to students. Let the students explore and collaborate one another in groups. After some explorations, when needed, students may ask us as the facilitators to introduce the necessary mathematical methods or concepts that could help them solve the problems. Otherwise, we could use the group discussion results to lead them to the introduction of the concept.

A set of problems related to Bearings and Trigonometry (studied in IGCSE). Self-made problems by considering Low Floor, High Ceiling approach to jump start discussions to introduce a topic. Best used prior to introducing any method or mathematical concepts to students. Let the students explore and collaborate one another in groups. After some explorations, when needed, students may ask us as the facilitators to introduce the necessary mathematical methods or concepts that could help them solve the problems. Otherwise, we could use the group discussion results to lead them to the introduction of the concept.

A set of problems related to Functions and Transformations, particularly for As level mathematics. Self-made problems by considering Low Floor, High Ceiling concept to jump start discussions to introduce a topic. This could be used to teach: Concept of notation Mapping, relation, function Graph of a function Function as a connection to algebra and sequence Inverse function - visual Transformations of functions Best used prior to introducing any method or mathematical concepts to students. Let the students explore and collaborate one another. After some explorations, when needed, students may ask us as the facilitators to introduce the necessary mathematical methods or concepts that could help them solve the problems.

A problem (given with the solution) connecting to the real-world contexts: Railroad problem. A self-made problem by considering Low Floor, High Ceiling concept and PBL to deeply discuss the topic of quadratics. Could be used prior to introducing any method or mathematical concepts to students. Let the students explore and collaborate one another. After some explorations, when needed, students may ask us as the facilitators to introduce the necessary mathematical methods or concepts that could help them solve the problems.

A set of problems related to trigonometry, particularly for As level mathematics. Self-made problems by considering Low Floor, High Ceiling concept to jump start discussions to introduce a topic. This resource contains problems related to: Trig functions Graphs of trig functions Trig equations Transformations of trig functions Best used prior to introducing any method or mathematical concepts to students. Let the students explore and collaborate one another. After some explorations, when needed, students may ask us as the facilitators to introduce the necessary mathematical methods or concepts that could help them solve the problems.

A set of problems related to Sequences and Series (As Level, IGCSE). Self-made problems by considering Low Floor, High Ceiling concept to jump start discussions to introduce a topic. This contains lesson starters for: Binomial expansion Arithmetic progressions Geometric progressions Sum to infinity General number pattern idea Best used prior to introducing any method or mathematical concepts to students. Let the students explore and collaborate one another. After some explorations, when needed, students may ask us as the facilitators to introduce the necessary mathematical methods or concepts that could help them solve the problems.

A set of problems related to statistics (exploring data), particularly for As level mathematics. Self-made problems by considering Low Floor, High Ceiling concept to jump start discussions to introduce a topic. For this case, you could use the activity to jump start a discussion prior to introducing any concept, or after to reinforce the intuitive guessing or meaning of the students toward the statistical measures.

A set of problems related to Differentiation (studied in Additional Mathematics or in Pure Maths 1 As Level Maths). Self-made problems by considering Low Floor, High Ceiling concept to jump start discussions to introduce a topic. Best used prior to introducing any method or mathematical concepts to students. Let the students explore and collaborate one another. After some explorations, when needed, students may ask us as the facilitators to introduce the necessary mathematical methods or concepts that could help them solve the problems.

A set of problems related to basic algebra, particularly for Year 7 or Year 8 mathematics. Self-made problems by considering Low Floor, High Ceiling concept to jump start discussions to introduce a topic. Best used prior to introducing any method or mathematical concepts to students. Let the students explore and collaborate one another. After some explorations, when needed, students may ask us as the facilitators to introduce the necessary mathematical methods or concepts that could help them solve the problems.

A set of problems related to algebra (quadratics), particularly for As level mathematics. Self-made problems by considering Low Floor, High Ceiling concept to jump start discussions to introduce a topic. Best used prior to introducing any method or mathematical concepts to students. Let the students explore and collaborate one another. After some explorations, when needed, students may ask us as the facilitators to introduce the necessary mathematical methods or concepts that could help them solve the problems.

Cubic polynomials only, focusing on the graph sketching and soling inequalities, involving moduli functions.

This resource comprises of the handout (power point and the lesson starter in the form of exploration of problems.

Jump start your lesson with the lesson starter exploration of problem, then continue with the handout to get into the heart of the topic.

These resources comprise of the lesson starter of problems and the handout to deliver the materials of the chapter to the students.

The resources comprise of handout and the explorations of problems to start a lesson. The explorations of problems are intended to let the students discuss problems and then we as the teacher facilitate the discussion from the problems.

Data representation focuses on how data are represented by using graphs and diagrams. This topics has little focus on the calculations of measures.

Containing the power point handout and activities can be used to explore the meaning of various statistical measures (mean, median, mode, IQR, Std. deviation, etc.).

Trigonometry power point handout to deliver and discuss the trigonometry topic for As level standard.