18 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.
In Lesson 6, students will learn and apply the concept of “more than” and “less than” for numbers up to 10. The lesson will focus on helping students understand quantity differences clearly and systematically.
Introduce “more than” and “less than” through simple number relationships (e.g. 1 more, 2 less)
Practise identifying whether a situation involves addition or subtraction
Solve word problems involving adding to find the bigger group or subtracting to find the smaller group
Learn to compare two groups by identifying the bigger group, smaller group, and the difference
Reinforce thinking using structured steps rather than guessing
This lesson will strengthen students’ number sense, comparison skills, and reasoning, which are key foundations for future problem-solving topics.
In Lesson 6, students will deepen their understanding of comparison of quantities using structured problem-solving strategies.
Compare quantities by identifying bigger group, smaller group, and the difference
Solve problems where:
only the groups are given
a group and the total are given
a group and the difference are given
the total and difference are given
Apply addition and subtraction accurately within comparison problems
Use a step-by-step unit method to solve higher-order word problems involving total and difference
Interpret problem statements carefully to decide whether to find a total, a missing group, or a difference
In Lesson 6, students will focus on strengthening their understanding of division with remainders and applying this knowledge to reasoning-based word problems.
The lesson will cover:
Revising and practising long division with remainders, using a clear step-by-step method
(divide → multiply → subtract → bring down → repeat)
Interpreting remainders correctly in real-life contexts
Solving word problems involving grouping and sharing, and explaining what the remainder represents
Using the listing method to solve logical number problems involving:
Applying the “total concept”, where students determine how many more items are needed to complete one full group or box
In Lesson 6, students will focus on solving advanced comparison word problems involving external transfer and unit method reasoning, which are key PSLE-relevant skills.
The lesson will cover:
Solving comparison problems where quantities change due to transfer, loss, or addition
Analysing situations involving:
given difference and ratio
given difference with external transfer
given ratio (units) with external transfer
Using the unit method to:
determine the value of one unit
work backwards to find original quantities
Interpreting multi-step word problems that require careful tracking of before and after conditions
Practising structured layout to reduce careless mistakes and improve clarity of working
In Lesson 6, students will strengthen their foundation in fractions through a progression of skills that emphasise accuracy, method, and conceptual understanding.
The lesson will cover:
Revising fraction basics,
Converting fractions to decimals, with:
exact decimal values
rounding answers correctly to 2 decimal places, using working up to 3 decimal places
Interpreting and completing fraction number lines to identify missing values
Adding and subtracting mixed numbers, including:
converting between improper fractions and mixed numbers where needed
Multiplying fractions, including:
fraction × fraction
mixed number × whole number
Solving word problems involving:
fractions as values (e.g. mass, volume, length)
fractions as units, using the unit method to find totals, used amounts, and remaining quantities
In Lesson 6, students will tackle advanced ratio problem-solving involving remainders, external transfer, and changing ratios—key skills required for PSLE-style questions.
The lesson will focus on:
Solving ratio problems with remainders, where quantities do not divide evenly
Analysing situations involving external transfer, including:
one group increasing or decreasing while another remains unchanged
identifying which quantity (total, difference, or a group) stays constant
Applying ratio techniques for problems with:
unchanged totals
unchanged differences
Using the unit method systematically to:
compare ratios before and after changes
find the value of one unit
work backwards to determine original quantities
Interpreting multi-step word problems carefully to avoid common traps
