These PowerPoint slides contain teaching materials for Primary 4. 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 4 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 4

- Whole Numbers operations
- Comparison model (Quantity)
- Comparison model (Units)
- Quantity external transfer
- Fractions operations
- Simultaneous concept
- Part and whole concept
- Stacking model involving fractions
- Supposition
- Comparison model (Quantity and unit)

### Lesson 1 to 10

This week (Lesson 1), we will begin our 1st lesson for the new academic year.

This week we will focus on the fundamentals of whole numbers. This lesson will be tedious as it involves more computation. This lesson is intended to lay the foundation skills needed for subsequent problem-solving questions under whole numbers.

Based on experience, we have observed that many students find the concept of "estimation and approximation" relatively more difficult to grasp and cannot consistently solve these types of questions correctly. As such, in this lesson, we will be spending more time in this area.

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

In this week's lesson, we will focus on 2 concepts.

- Comparison of Quantity
- Comparison of Quantity and Units

The concepts of Comparison of Quantity and Comparison of Units are very similar. Students tend to mix them up. For example, John is 3 more than Peter (Comparison of Quantity) vs. John is 3 times Peter (Comparison of units). Questions become even more complex when we combine the two concepts into a single question.

This week (Lesson 3), we will continue with Whole Numbers 3.

In this week's lesson, we are working on 2 concepts

- Comparison of Quantity
- Comparison of Quantity and units

In Primary 3, the students were taught Comparison of Quantity (e.g 3 more) and Comparison of Units (e.g 3 times). This lesson will combine these two concepts in the same question.

This week (Lesson 4), we will continue with Whole Numbers 4.

In this lesson, we focus on two concepts

- Intervals Concepts
- Grouping

Students will learn to calculate intervals from the middle of a string of patterns and the concept of "cuts/slices" as intervals.

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 Whole Numbers 5.

We will cover 2 concepts

1. Intervals Concepts

2. Grouping

The basics of Intervals concepts and Grouping were taught in P3. The interval concept problem sums for P4 will have intervals and dividers represented by objects (e.g.beads) instead of length (e.g. 5 cm). We will also introduce the Concept of “cuts/slice” as intervals.

This week, we will be continuing our study of Whole Numbers with Lesson 6. The main focus of this lesson will be the concept of External Transfer. We will be covering two variations of this concept: External Transfer given difference and External Transfer given units. These variations are often included in exams to test students' reasoning and model drawing abilities.

This week (Lesson 9) and the next, we will revise all the taught concepts. In this revision lesson, we will focus on

- 4 Operations
- Comparison of quantity
- Comparison of quantity and units
- Stacking models
- Supposition
- External transfer

This week (Lesson 10), we will continue to revise the concepts taught in previous lessons. The concepts we will cover are as follows:

> Factors and multiples

> External transfers

> Internal transfers

### Lesson 11 to 20

This week, we will revisit the concepts taught in previous lessons with our students. The revision session will concentrate on three main areas:

- Factors and multiples
- External transfers, and
- Internal transfers

These topics are frequently tested, and we will continue to focus on similar questions in future lessons.

The lesson includes a continuation of Whole Numbers and an introduction of Geometry.

In Whole Numbers, our focus will be on the concept of Shortage and Surplus. This is a crucial topic that schools typically test in three ways:

- Listing without fixed groups
- Listing with a fixed number of groups, and
- Units method.

Students will be taught these three approaches to problem-solving, which will be relevant not only for their current level but also for Primary 5 and 6. We recommend that your child keep this week's worksheet for future reference and revision.

In addition to Whole Numbers, we will also be introducing Geometry. In this lesson, students will learn how to use a set square, protractor, and ruler. All students must attend this lesson at the centre. **Please bring along a protractor**.

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

The focus of this lesson is on angles. The concepts we will cover are:

- Angles at a point.
- Angles involving properties of Squares and Rectangles.
- 8-Point Compass.

8-Point Compass questions are commonly tested. We have thus designed these questions with greater complexity.

Next week, we'll continue with Geometry 2 and focus on angles. Here's what we'll be covering:

- Angles at a point.
- Angles involving properties of squares and rectangles.
- 8-Point Compass.

Please note that 8-Point Compass questions are commonly tested, so we've designed these questions with a bit more complexity to challenge the students.

This week (Lesson 14), we will begin with Fractions 1.

Next week, we will be in starting on Fractions. Fraction is an important topic for Primary 4. In this lesson, we will begin with the fundamentals of Fractions.

We cover the following:

- Equivalent fractions
- Mixed numbers and improper fractions
- Comparing and ordering of fractions

We have included many practices in this lesson and additional practice as homework.

This week (Lesson 16), we will continue with Fraction 3.

The main focus of this lesson is the concept of Remainder Theory. *Remainder Theory* is under the “Part and Whole” concept. Such questions only appear in fractions and involve splitting parts into other smaller parts.

This is an essential concept, and we are confident that it will be tested.

### Lesson 21 to 30

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

Last week, we taught the children the basics of decimals. In this lesson, we will be covering the application of decimals in heuristic problem sums. The concepts are:

- Part and whole
- Indirect repeat application
- Interval concept
- Supposition method

These concepts are not new to the students. We have covered all of them in our previous lessons under a different topic.

This week (Lesson 27), we will continue with Decimals 3.

This week’s lesson is relatively more challenging. Although some of these concepts were taught under previous topics, we still expect students to struggle a little. In this lesson, we will be covering the application of decimals in heuristic problem sums. The concepts we will be applying decimals are:

- Stacking models
- Equal elimination
- Quantity value
- Simultaneous concept

This week (Lesson 28), we will continue with Decimals 4.

In this lesson, we will cover the following concepts

- Simultaneous concept (Involve replacement)
- Simultaneous concept (3 unknowns)
- Working forward to finding the value of units
- Find change - involve the unchanged difference

This week we continue to focus on the simultaneous concept. The simultaneous concept is a necessary arithmetic skill that can be applied to many questions.

This week (Lesson 29), we will continue with Decimals 5.

This week's lesson will cover "Working Forward" concepts involving external transfers.

This lesson is expected to be challenging and requires a fair bit of model drawing.

This week (Lesson 30), we will begin with Area and Perimeter 1. The basics of area and perimeter were taught in P3.

This lesson will begin with some revision of the concept with the basic application of Area and Perimeter Formulas.

We will also cover

1. Area of Polyominoes

2. Perimeter of composite figures.

3. Cut and paste methods in finding perimeter.

### Lesson 31 to 40

This week (Lesson 31), we will continue with Area and Perimeter 2.

In this lesson, we will cover

1. Figure segmentation and restoration.

2. Questions that involve borders/frames.

3. Finding Area that involves grouping and ignoring the remainder.

4. Finding Area that involves overlapping.

In this lesson (Lesson 32) and the following two lessons, we will revise all the concepts we have taught since June. In this revision lesson, we will focus on:

1. Area and Perimeter

2. Fractions problem sums.

3. Decimals problem sums.

4. Whole numbers problem sums.

This week (Lesson 33), we will continue to revise previously taught concepts. In this revision lesson, we will focus on:

1. Problem sums involving Comparison of units.

2. Quantity transfer.

3. Area and Perimeter.

Of the 3 concepts, problem sums involving quantity transfer will be the more challenging ones.

This week (Lesson 34), we will continue to revise previously taught concepts. In this revision lesson, we will focus on heuristic problems sums involving:

1. Problem sums involving quantity and value

2. Money

3. Measurements

4. Fractions with Remainder Concept

5. Pattern

This week (Lesson 35), we will continue with Area and Perimeter 3.

This lesson will cover problem sums involving breadth as a unit of measure. We noticed that these types of area and perimeter questions are common in our analysis of various schools' past years' papers. In this lesson, we will cover 4 variations of this type of question.

This week (Lesson 36), we will continue with Area and Perimeter 4.

In this lesson, we will cover higher-order area, and perimeter problem sums involving:

1. Comparison of Area in terms of units.

2. Area and perimeter with stacking models.

3. Area and perimeter involving folded figures.

This week (Lesson 37), we will start on a new topic - Time.

In this lesson, we will cover the following basic concepts:

1. Conversion of minutes and seconds

2. 24-hour and 12-hour clocks..

3. Problem sums involving working forwards to find end time.

4. Problem sums involving working backwards to find starting time.

This week (Lesson 38), we will continue with Time Lesson 2.

In this lesson, we will cover the following problem sums involving:

1. Finding duration directly.

2. Finding duration involving Part and Whole concepts.

3. Finding duration involving Comparison of Quantity concept.

This week (Lesson 39), we will revise previously taught topics and concepts.

In this lesson, we will cover the following problem sums involving:

1. Rate tables

2. Time

3. Area and perimeter.

4. Geometry.

5. Quantity and value.

6. Quantity transfer.

7. Volume

8. Interval concept.

This week (Lesson 40), we will continue revising previously taught topics and concepts.

In this lesson, we will cover problem sums involving:

1. Graphs.

2. Fractions.

3. Time.

4. Atea and perimeter.

5. 4-point compass.

6. Measurements.

7. Decimals.

### Lesson 41 to 50

This week (Lesson 41), we will continue preparing for SA2 with Select 13.

This week (Lesson 42), we will continue with the revision of previously taught topics and concepts.

The topics and concepts we will cover are:

- Fractions - remainder theory
- Whole numbers - Interval concept
- Decimals - operations
- Money - quantity and value
- Graphs
- Time
- Area and perimeter
- Angles

This week (Lesson 43), we will continue preparing for SA2 with Select 15. It is also essential that the children attempt the prescribed homework. The questions in the additional practice papers are integral to the preparation system. The primary and additional practice papers are designed to prepare the children for the final year exams.

This week (Lesson 44), we will continue preparing for SA2 with Select 16. It is also essential that the children attempt the prescribed homework. The questions in the Additional Practice papers are integral to the preparation system. The main and Additional Practice papers are designed to prepare the children for the final year exams.

This week (Lesson 45), we will continue preparing for SA2 with Select 17. It is also essential that the children attempt the prescribed homework. The questions in the Additional Practice papers are integral to the preparation system. The Main and Additional Practice papers are designed to prepare the children for the final year exams.

This week (Lesson 46), will be the last Select Paper for the academic year 2022.

In the next 3 weeks, we will summarise the learnings of 2022 with the students.

This week (Lesson 47), we will begin the first three lessons on “summary of concepts”.

As shared in the previous message, these three lessons will summarise the key problem sums concepts that will bridge the student to the next academic year.

This week (Lesson 48), we will continue with the second of three lessons on “summary of concepts”.

As shared in the previous message, these three lessons will summarise the key problem sums concepts that will bridge the student to the next academic year.

This lesson (Lesson 49), will be the final lesson for 2022 academic year. Next week we will begin with Primary 5 syllabus.

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