LESSON 16 SYNOPSIS (6 April – 12 April 2026)

03 April 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.

Primary 1 Lesson 16

This lesson builds foundation in Numbers to 20, focusing on problems where students must reason about equality, relative value, and systematic number search. Students handle three distinct problem structures requiring increasingly flexible thinking.

Learn to apply the left = right principle by computing both sides of an equation and identifying the missing value that maintains balance
Strengthen reasoning about more than / less than by working through two-step word problems involving sums and differences
Introduce listing (trial and error) as a structured strategy for identifying unknown two-digit numbers within a given range
Practise working methodically through candidates in a table, checking each against stated conditions
Reinforce the relationship between place value and digit conditions within two-digit numbers

By the end of this lesson, students can apply systematic methods to find unknown numbers — a habit of structured reasoning that underpins heuristics problem solving at higher levels.

Primary 2 Lesson 16

Under Mass 2, students learn to determine the weight of unknown objects by interpreting balance scale diagrams across three progressively complex problem structures. Problems move from simple equal grouping to multi-item comparisons requiring several reasoning steps.

Learn to apply equal units thinking by dividing a known total mass equally across identical objects on a balance scale
Strengthen the comparison method by identifying the difference between two balanced totals to isolate an unknown mass
Introduce the equivalent concept by substituting one object’s known mass to find the mass of a different object across linked balance diagrams
Practise multi-step reasoning where two substitution chains must be resolved before the final mass is calculated
Consolidate working with three-digit masses, building numerical fluency within measurement contexts

Students will be able to find unknown masses using structured reasoning across linked comparisons — foundational thinking for future work in algebra and PSLE measurement problem sums.

Primary 3 Lesson 16

Under Money 6, students learn to solve problems where the total amount and a mix of denominations are given, requiring them to find an unknown quantity of notes or coins. The lesson integrates three distinct reasoning structures across progressively demanding problem types.

Learn to apply grouping by combining mixed denominations into one repeating unit, then dividing the total to find the number of groups
Strengthen equal units thinking by scaling groups to find the quantity of a specific denomination
Introduce the equivalent equation method, where a combined purchase is treated as a repeating unit to find cost at a different scale
Practise the form number statements using total strategy, eliminating one unknown by subtracting a known combined value to isolate the other
Consolidate multi-step reasoning by working through two linked equations before arriving at a single item’s cost

Students will be able to find unknown costs and quantities using structured elimination — reasoning that directly prepares them for PSLE algebra-style problem sums.

Primary 4 Lesson 16

Under Fractions 3, students learn to solve multi-step word problems involving fraction of a set where the denominator must be changed before relationships between parts can be established. The lesson builds across three progressively demanding structures requiring careful part-whole reasoning.

Learn to apply changing denominator to align fractions before comparing or subtracting parts of a whole
Strengthen equal units reasoning by using a known difference between two fractional parts to find the value of one unit
Introduce remainder theory by treating the leftover portion as a new whole, then applying a second fraction to that remainder
Practise remainder with further cutting by subdividing the remainder a second time, requiring two sequential bar model redraws
Reinforce working backwards from a known leftover quantity to find the original total
Consolidate multi-layered problems where fraction operations are chained across two or three distinct stages

Students will be able to handle complex remainder problems systematically — a critical skill for PSLE fractions questions involving multiple transfers and unknowns.

Primary 5 Lesson 16

Under Volume 2, students learn to solve problems where the volume formula is combined with fraction reasoning, water transfer between containers, and foreign objects — requiring multi-step thinking across four distinct problem structures.

Learn to apply part of whole reasoning by finding the fractional difference between two fill levels, then multiplying by the container’s full volume
Strengthen working forward and backward by computing volumes added or removed to establish an original or final water level
Introduce foreign objects problems by treating the rise in water level as a rectangular prism to find total displaced volume, then dividing by one object’s volume
Practise transfer problems where water moves between two differently shaped containers, requiring sequential volume calculations across both
Reinforce unit conversion between cm³ and litres within multi-part problems
Consolidate problems involving remainder quantities, where partial containers or jugs require rounding decisions

Students will be able to integrate the volume formula with fraction operations and transfer logic — the precise combination tested in PSLE volume problem sums.

Primary 6 Lesson 16

Under Circles 3, students learn to find the area and perimeter of composite figures formed by combining and removing circular parts — quarter circles, semicircles, and full circles — within rectilinear or geometric frameworks. Problems require decomposing unfamiliar shapes before applying circle formulae.

Learn to identify radius from composite figure dimensions before computing arc length or quarter circle area
Strengthen area of composite figures reasoning by isolating shaded regions through addition and subtraction of circle and polygon parts
Practise the supposition method by assuming all items belong to one category, then systematically exchanging to match a given difference
Introduce finding least number of groups by listing by maximising one box size and checking whether the remainder satisfies the second box’s divisibility condition
Reinforce working through exchange iterations methodically until a valid combination is found
Consolidate multi-concept problems integrating ratio, geometric relationships, and circle properties within a single figure

Students will be able to decompose complex composite figures and apply structured heuristics — skills central to PSLE geometry and problem-solving questions.