These PowerPoint slides contain teaching materials for Primary 6. It is designed to aid teachers in the delivery of Matrix Math lessons. The slides contain solutions to Matrix Math questions in detailed steps enhanced with Powerpoint animation to help students better understand and grasp complex concepts.

# Primary 6 Online Materials

### Who are the slides for?

The slides are specially designed for Matrix Math teachers to deliver lessons effectively and consistently.

### Holiday Programmes

Going to Primary 6

- Internal proportion transfer
- Simultaneous concept involving fractions
- Advance external proportion transfer applications
- Ratios (Quantity and value)
- Ratios with geometry
- Ratios with advance application of common base
- Problem sums involving units and parts
- Ratios and Remainder Theory
- Percentage and Remainder Theory
- External proportion transfer involving percentage
- Questions involving both proportion and quantity transfer

### Lesson 1 to 10

This week (Lesson 2), we will continue with Algebra 2.

In Algebra 1, we taught the students the arithmetics rules of Algebra. In this lesson, we will be applying these rules to problem sums.

In the second half of the lesson, we will be doing Whole Numbers in preparation for next week's lesson (Lesson 3).

This week (week 3), we will begin with FDPR 1.

*FDPR* stands for Fraction, Decimals, Percentage, and Ratios. In P6, we will gradually teach the students not to view math as an independent silo. Instead, topics and concepts can be mixed and tested in a single question.

This week we will be covering the below two concepts:

- Quantity and Value, Given Quantity Difference
- Quantity and Value in Units
- Quantity and Value, Given Unit Difference

This week (Lesson 4), we will continue with FDPR 2.

This week we will cover Equivalent proportion and Branching. These two concepts were taught in P5.

For example, the below two statements have the same meaning. You will notice that the P6 question is indirect.

P5 Q - 1/4 of Peter's beads left is equal to 2/3 of Yenni's beads left.

P6 Q - Peter used 3/4 of his beads, while Yenni used 1/3 of her beads. They left with an equal number of beads.

This week is the last lesson for 2022. We will like to take this opportunity to wish all parents and students a Merry Christmas and a Happy New Year!

This week (Lesson 5), we will continue with FDPR 3.

We will cover 2 concepts

- Common base
- Ratio, group unchanged

The above two concepts are commonly tested on their own or combined with other concepts. These are the core building blocks of heuristic concepts that the students must master.

This week's lesson (Lesson 6) will be focused on FDRP 4. In this lesson, we will be covering three concepts related to ratio:

- Ratio, Difference unchanged
- Ratio, Total unchanged
- Ratio, All changed

These concepts will complete our study of ratio questions involving quantity transfer, which are commonly tested in exams. Our goal is to ensure that all of our P6 students achieve mastery in this area.

Next week, in Lesson 8, we will be focusing on FDRP 6. The lesson will cover challenging heuristic problem sums that involve proportion transfer. These problem sums test students' ability to apply the proportion transfer concept to questions that start with a value difference. There are different methods to solve these types of questions, but we have found that the model method is the most effective. To successfully complete these problem sums, students will need to draw multiple models, so it is essential that they maintain neatness in their work to avoid confusion and careless mistakes.

This week (Lesson 9), we will continue with FDRP 7.

This will be quite a challenging lesson. For the concept of internal proportion transfer, beginning with a difference, students will need to draw multiple models.

Please do not worry if your child finds this lesson challenging and confusing, as we will repeat them many more times in the subsequent lessons.

*CALCULATORS*:

1. Please remind your children to bring their calculators. Many of the questions involve huge numbers that make solving the questions unnecessarily stressful without a calculator.

2. Do not substitute the calculator with a phone.

This week, we'll finish our lessons on FDRP. We'll be focusing specifically on percentages, and these are the types of percentage problems your child will see on tests in P6: discounts, GST, and how things change when there's a percentage increase or decrease.

This worksheet has examples of these types of problems, and it's important for your child to keep it for future revision.

### Lesson 11 to 20

This week, students will be introduced to Angles.

From our studies, we have identified four standard methods that schools use to test students' understanding of angles:

- Finding unknown angles within a figure.
- Calculating the sum of multiple angles.
- Finding angles using ratios.
- Finding angles related to folding.

This lesson will provide the foundational knowledge for understanding how angle questions are tested. By mastering these 4 concepts, we are confident the students will be well-prepared to answer various angle-related questions on exams.

We will introduce the basic building blocks of Circle questions, which are crucial to understanding and solving more complex Circle problems.

These building blocks include -

1. Quadrant/semi-circle

2. Sector

3. Boomerang

4. Petal

After the lesson, students must revise to have a strong grasp and understanding of these shapes.

In this week's lesson (Lesson 13), we will continue with Circles lesson 2.

Last week we introduced the basic building blocks of Circles, which are

1. Quadrant/semi-circle

2. Sector

3. Boomerang

4. Petal

This week we will be moving on to application questions designed with a combination of these building blocks. We will also be teaching them techniques to solve these questions. These are

1. Cut and paste

2. Ratio

3. Elimination

We have prepared a *Circles Cheat Sheet* which can be downloaded from online.matrixmath.sg.

In this week (Lesson 14), we will begin with the first lesson on Speed.

Speed's first lesson will be pretty easy as it introduces students to the basic application of the Speed formula. ie. Speed = Distance ÷ Time. This lesson will give the children the confidence they need about the topic.

There will be three lessons on Speed. Speed is a challenging topic for most students. Thus, we have categorised the various Speed questions and will gradually demonstrate how to solve them over the new three weeks.

This week (Lesson 15), we will begin the second lesson on Speed.

Last week (Speed 1), we learnt the application of the speed formula on one moving object. This week (Speed 2), the children will begin to experience the complexity of the Speed concept as we will be teaching them how to solve Speed questions involving 2 moving objects.

There are 3 scenarios a Speed problem sum involving 2 objects can be designed.

1. 2 objects moving towards each other.

2. 2 objects moving away from each other.

3. 2 objects moving in the same direction.

Our goal for this lesson is to systematically guide the children to approach a Speed question by first determining how the objects move and then solving the question accordingly.

This week (Lesson 16), will be the final lesson on Speed.

This lesson will teach the students how to apply Ratio concepts in solving Speed-related questions. This is an important skill to learn as it will significantly simplify the complex speed problem solution.

### Lesson 21 to 30

This week (Lesson 26), we will continue with Volume 2.

In this lesson, we will be covering

- Quantity and value
- Proportion concept
- Similar figures

This week (Lesson 27), we will begin our PSLE Revision series of lessons.

Starting this week, we will systematically revise all the possible questions, topics, concepts, and methods with the students.

IMPORTANT!!!

*It is very important that the students complete their Additional Practice (homework). It is an integral part of the curated syllabus that we have prepared for the students to prepare for PSLE.*

This week (Lesson 28), we will continue with PSLE Revision Lesson 2.

This week (Lesson 29), we will continue with PSLE Revision Lesson 3.

This week (Lesson 30), we will continue with PSLE Revision Lesson 4.

### Lesson 31 to 40

This week (Lesson 31), we will continue with PSLE Revision Lesson 5.

In this lesson (Lesson 32), we will continue with PSLE Revision Lesson 6.

This week (Lesson 33), we will continue with PSLE Revision Lesson 7.

This week (Lesson 35), we will continue with PSLE Revision Lesson 9.

This week (Lesson 36), we will continue with PSLE Revision Lesson 10.

This week (Lesson 37), we will continue with PSLE Revision Lesson 11.

This week (Lesson 38), we will continue with PSLE Revision Lesson 12.

This week (Lesson 39), we will continue with PSLE Revision Lesson 13.

This week (Lesson 40), we will continue with PSLE Revision Lesson 14.

### Lesson 41 to 40

This week (Lesson 42) will be our last lesson for Primary 6 this year.

We have prepared 3 hours of self-revision lessons and videos. Students can access the lessons here: * https://www.matrixmath.sg/psle-math-final-revision/ *

We wish all P6 students the best in this coming PSLE. Please keep us posted on your child's results.

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