08 December 2024
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.
This lesson will further enhance the Number Bonds problem-solving concepts introduced in Lesson 3. Students will delve into the idea of “Fact Family” and discover how to apply “Number Bonds” to tackle problem sums effectively.
As we approach the end of 2024, we’d like to take this moment to extend our warmest wishes to all parents and students for a Merry Christmas and a Happy New Year!
Basic Permutation
In this lesson, students will explore the concept of arranging items in different ways, also known as permutations, through engaging problem sums. They will develop logical thinking skills by learning how to organize objects into various possible arrangements.
Key Concepts Covered:
Arranging Items from One Group: Students will learn how to find the number of ways to arrange objects within a single group.
Arranging Items from Two Groups: Students will discover how to arrange objects from two different groups, exploring how combinations work when multiple sets are involved.
1. Listing Method
The Listing Method is an effective problem-solving strategy that teaches students how to logically organize and list all possible solutions. This method encourages a step-by-step approach to solving complex problems while enhancing students’ attention to detail, critical thinking, and logical reasoning skills.
2. Total Concept
The Total Concept is a foundational mathematical approach that involves using multiplication and division to determine total quantities. Students will learn how to apply this concept to solve problem sums by understanding relationships between parts and wholes.
1. Stacking Model
The Stacking Model builds upon the Comparison Model introduced in Primary 3. While the Comparison Model focuses on comparing two items, the Stacking Model challenges students to work with multiples of two items, developing their ability to handle more complex relationships.
2. Supposition
Supposition can be a challenging concept, requiring students to think critically and make logical assumptions to solve problems. We are committed to providing additional practice and learning resources to ensure students grasp this concept thoroughly. We will have more lessons to deepen students’ understanding and boost their confidence in applying this advanced problem-solving technique.
1. Equal Elimination
This technique extends the Replacement Concept taught last week. Students will learn how to solve two unknowns by eliminating one variable first, simplifying the problem into a single-variable equation.
2. Redistribution Concept
This concept covers scenarios where a fixed number of items are redistributed among a smaller group. Students will practice breaking down such problems logically to determine how the redistribution affects quantities and totals.
3. Supposition with Given Difference
An advanced level of Supposition, this technique builds on what students learned in Primary 4.
4. Shortage and Surplus
We will revisit the Shortage and Surplus concept introduced in Primary 4, reinforcing its application through challenging examples. Since this concept is commonly tested in Primary 5 exams, continued practice will ensure students master it and are well-prepared for future assessments.
1. Equal Proportion
Students will learn how to solve problems where quantities from two different sources are equal when expressed in fractions. While Primary 5 questions typically present direct statements such as:
“1/4 of Peter’s beads left is equal to 2/3 of Yenni’s beads left,”
Primary 6 questions take a more indirect approach, requiring deeper analysis. For example:
“Peter used 3/4 of his beads, while Yenni used 1/3 of hers. They both have the same number of beads left.”
Students will practice interpreting such questions, applying logical thinking and mathematical reasoning to reach accurate solutions.
2. Remainder Concept
We will also explore more complex applications of the Remainder Concept, focusing on how remainders affect totals and how to manage leftover amounts in multi-step problem sums. This technique is particularly useful for solving problems involving sharing, distribution, and comparison.
