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Primary Math Tuition Lesson Synopsis L31

LESSON 31 SYNOPSIS (20 July – 26 July 2026)

21 July 2026

BY: Jason Hiak

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 31

This lesson revises core skills under Select 5, consolidating addition, subtraction, and number-pattern work through multi-step word problems that ask students to track quantities across several stages.

  • Reinforce comparison thinking, working out a smaller quantity from a “fewer than” relationship
  • Apply part-whole reasoning to combine separate groups into a total
  • Practise multi-step problems where one answer feeds into the next calculation
  • Strengthen backward thinking, finding a remaining amount after some are taken away
  • Consolidate the sum-and-difference method to recover two unknown numbers from their total and difference
  • Reinforce pattern recognition to continue and complete number sequences

Primary 2 Lesson 31

This lesson builds foundation in Fractions 2, where students learn to treat a fraction as a relationship between a part and a whole rather than just a shape divided up.

  • Introduce part-whole thinking to find one part as a fraction of the whole
  • Learn to find the total of several parts as a single fraction of the whole
  • Apply reasoning to identify a part within a larger group of parts
  • Strengthen the ability to find the difference between two parts of the same whole
  • Practise reading word problems and deciding which quantities form the part and which form the whole
  • Reinforce forming fractions from real situations involving sharing, cutting, and grouping

Primary 3 Lesson 31

This lesson builds on Measurement 4, where students learn to solve harder mass, length, and volume problems by comparing two situations and reasoning out an unknown value.

  • Learn the equal elimination method, comparing two totals to cancel identical items and isolate one unknown
  • Apply replacement thinking, swapping one item for its equivalent to simplify a problem
  • Practise combining three equations to work out a single value from overlapping totals
  • Strengthen the habit of tracking what stays the same and what changes between two given facts
  • Apply the before-after approach, using a known difference and a “times as much” relationship to find units after a change
  • Reinforce working systematically through multi-step measurement problems

Primary 4 Lesson 31

This lesson builds on Decimals 4, where students apply decimal computation inside harder word problems involving money, mass, and volume rather than plain calculation.

  • Apply replacement thinking, swapping one item for its equivalent to reduce a problem to a single unknown
  • Practise combining three equations to find one value from three overlapping totals
  • Strengthen the work-forward method, tracking amounts after spending or pouring to reach a “times as much” relationship
  • Learn to set up unit reasoning before working through decimal calculations
  • Reinforce accurate handling of decimals across addition, subtraction, and multiplication within multi-step problems
  • Consolidate the habit of identifying what changes and what stays fixed between two situations

Primary 5 Lesson 31

This lesson builds on Percentage 3, where students move from basic percentages to harder problems involving shaded figures, comparisons between quantities, and real-world pricing with discounts and GST.

  • Learn to express a shaded region as a percentage of the whole, including figures split into unequal parts
  • Apply percentage of whole reasoning to find quantities from a stated percentage
  • Strengthen percentage comparison, linking three quantities through “more than” and “less than” relationships
  • Practise converting percentage relationships into units to solve for a total
  • Apply layered discount and GST calculations, including working backwards from a final price
  • Reinforce careful ordering of steps when several percentage changes apply to one item

Primary 6 Lesson 31

This is a revision lesson. Under PSLE Revision 3, students work through a mixed set of demanding, exam-style problems spanning geometry, ratio, percentage, rate, and pattern reasoning, mirroring the variety of a real PSLE paper.

  • Consolidate area reasoning in complex figures made of squares, triangles, and overlapping shapes
  • Apply ratio and percentage relationships to find totals from a stated difference
  • Strengthen pattern analysis, extending sequences and working backwards from a given figure count
  • Practise guess-and-check and grouping on quantity-and-value problems involving mixed items
  • Reinforce before-after and equal-comparison methods across changing quantities
  • Consolidate rate and time-sharing reasoning in real-world contexts
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