05 January 2026
At Matrix Math, we provide an engaging and detailed learning experience for your child. Matrix Math Tuition programme focuses on essential concepts that will further strengthen their mathematical foundation. The lesson synopsis gives parents a clear preview of the topics and problem-solving skills that will be covered in class. At Matrix Math, we ensure that each lesson is designed to build confidence and mastery in math, preparing students for success in both school and beyond.
Topic: Numbers to 10 – Number Bonds Applications.
Students will work on number bonds applications, focusing on fact families using addition and subtraction. They learnt to identify the whole and parts, list related number sentences, and apply number bonds to solve simple word problems. Emphasis was placed on solving systematically and checking answers using subtraction, helping students build confidence and accuracy when working with numbers up to 10.
Topic: Whole Numbers – Finding Number of Ways
This week, students learnt how to find the number of possible outcomes systematically, focusing on two key ideas.
First, students explored situations involving one group, such as arranging letters, numbers, or people, and choosing items from a set. They learnt to list outcomes in an organised way to ensure no possibilities were missed or repeated.
Next, students worked on problems involving two groups, such as mixing and matching clothes or pairing objects. They learnt that the total number of ways can be found by multiplying the number of choices from each group, building early foundations for multiplicative thinking.
Topic: Whole Numbers – Comparison of Units (Model Method)
This week, students learnt to solve word problems involving comparison of quantities using the model method, focusing on situations where values are related by “times as many”.
Students were guided through three key problem types:
Value of units in a group – finding differences or totals when one quantity is a multiple of another
Value of units in total – sharing a total among related quantities
Value of units in difference – solving problems where the difference between quantities is given
Emphasis was placed on drawing correct models and identifying equal units.
Topic: Whole Numbers – Model & Supposition Methods
This week, students learnt to solve multi-step word problems using three key concepts.
First, students applied the stacking model to compare values and costs, especially in problems involving “times as much” and shared totals.
Next, they used direct supposition, where all items were first assumed to be the same type (e.g. animals or notes) and adjusted step by step to find the correct answer.
Finally, students practised indirect supposition, commonly used in penalty-type questions (e.g. points awarded vs deducted, payment vs penalty). They learnt to assume an ideal situation and work backwards by accounting for penalties to reach the actual result.
Topic: Whole Numbers – Heuristics & Problem-Solving Strategies
This week, students worked on applying a range of problem-solving heuristics to tackle more complex whole-number questions.
Revised the order of operations, ensuring students follow the correct sequence when evaluating expressions
Learnt equal elimination to solve problems involving two unknowns by making one quantity the same and comparing differences
Applied the redistribution concept, where items not taken by some are evenly shared among the rest
Solved shortage and surplus problems, interpreting situations with leftovers or insufficient quantities using models
Topic: Ratio – Fundamentals & Applications
This week, students will be introduced to ratio and will learn how to apply ratio concepts systematically to solve a variety of problem sums.
Understand what a ratio represents and how it can be expressed in different forms, including as a fraction
Practise finding equivalent ratios and simplifying ratios to their simplest form
Solve problems involving ratios of quantities, including part-to-part and part-to-whole comparisons
Apply the value of units method to find unknown quantities when the total, group, or difference is given
Learn to solve more complex problems using a common base, especially when multiple ratios are linked together
