These PowerPoint slides contain teaching materials for Primary 3. 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 3 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 3

- Before Change After concept
- Comparison concept
- Internal Transfer using Models
- Multiplication and Division
- Grouping concept (without remainder)
- Introduction to 2-digit x 1-digit multiplication
- Grouping concept (with remainder)
- Money
- Time

### 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.

We aim to train our students early in reasoning skills, analytical skills, and a systematic problem-solving approach.

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

This week we will focus on multiplications.

> Concepts of multiplications

> Operations involving 1 digit x 2 digits

> Place values up to hundreds.

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

This week we will be introducing Long Division. Every year, students will struggle with this lesson. Long division requires students to be good at multiplication and division.

In this lesson, we aim to introduce the mechanics of long division to the children. The long division consists of *4 steps*. We have created a *video* of how long division will be taught to the children. The video is available at online.matrixmath.sg.

We expect most of the children to struggle with this week's homework. Please do not be too worried. Every year, students will face the same struggle. We will encourage them. Give them time to slowly "digest" the long division mechanics. It may take several lessons, and they will ultimately get it. We will be repeating this to the children every week.

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

This week we will build on the concepts taught in Lesson 3. We will be covering two concepts. Namely, "Listing method" and Total concept."

**The listing method:** This is a common technique used to solve problem sums by logically listing possible answers.

**The Total concepts**: This is a fundamental problem sums concept involving multiplication and division. In this lesson, the students will learn long-division problem sums involving remainders.

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 3 commonly tested concepts.

- Grouping considers Remainder.
- Grouping ignores Remainder.
- Difference concepts

We will teach the students how to handle "Remainders" in questions requiring Grouping. An important takeaway from this lesson is to understand under what setting should "Remainder" be considered and or ignored.

This week we will be continuing our work on Whole Numbers with Lesson 6. One of the main topics we will be covering is the supposition method, which was introduced to your children in Primary 2 using diagrams. In this lesson, we will be focusing on how to solve problems using this method without the aid of diagrams.

Additionally, we will be revisiting the concept of "comparison of quantities," including two subtopics: comparison of quantities with a given group and difference, and comparison of quantities with a given total and difference. These are fundamental concepts that will be useful in solving more advanced problems, and we will be revisiting them in future lessons.

This week, in Lesson 7, your child will be continuing on from the problem sums concept of comparison by quantity which they were taught last week.

Closely related to this concept is comparison by units. We will be covering this concept in depth, including the 3 variations in which it can be tested in Primary 3. This will help your child to have a better understanding and be able to apply these concepts correctly in problem solving.

In the coming week, the children will be continuing with lesson 8 on Whole Numbers. As a reminder, this week we covered the concepts of "comparison of quantities" and "comparison of units." Next week, we will be challenging the students by incorporating these concepts into a single question, which is not something typically covered in other schools.

We will also be giving the children opportunities to practice their model drawing skills. Additionally, we will be introducing problem sums that involve "working forward" which will require the use of higher-order model drawing methods. This is a more advanced method of solving mathematical problems, and it's a great way to enhance their problem-solving skills.

Please let us know if you have any questions or concerns.

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

- 4 Operations
- Forming numbers
- Listing methods
- Total concepts

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

> 4 Operations

> Problem sums involving multiplications and divisions.

> Grouping (consider/ignore remainder)

> How to use differences to solve problem sums

> Supposition method

### Lesson 11 to 20

This week, your children will be starting their journey with Money. They will learn the following essential concepts:

- Converting money into different denominations.
- Basic arithmetic operations with money.
- Solving problem sums that require finding the right combination of different monetary denominations.

This lesson will provide a necessary foundation for solving problem sums involving money.

We will be covering four concepts that are commonly applied in the topic of Money.

These will include:

- Total Concept - Repeat Application for 2 times
- Total Concept - Repeat Application for 3 times
- Total Concept - Regrouping
- Total Concept - involves Part and Whole

We have included graphics to help your child understand the logic behind these concepts and enhance their learning experience.

Please do not hesitate to contact us if you have any questions or concerns.

In this week's lesson (Lesson 13), we will continue with Money lesson 3. In this lesson, we will cover three concepts:

- Total Concept - Indirect
- Grouping - Ignore the remainder
- Supposition method

Concept 2 is a common way problem sums relating to the Topic "Money" are tested.

Concept 3 is the Supposition Method. Students will have some impression of this concept as we have taught introduced it during "Whole Numbers". We understand that this concept is not easy for most students. We will be repeating this concept in future lessons.

This week (Lesson 14), we will continue with Money lesson 4.

The concepts we will cover include

1. Comparison of quantity

2. Comparison of units

In this lesson, we will be exposing the children to the different ways “comparison of units” questions can be tested.

This week (Lesson 15), we will continue with Money lesson 5.

Last week we learnt the comparison of quantity and comparison of units. This week we will be combining these two concepts.

Children may find this lesson more challenging as the models required will be more complex.

In addition, we will be introducing stacking model concepts in this lesson.

This week (Lesson 16), we will continue with Money lesson 6.

We will cover 3 concepts.

1. Quantity Value

2. Equivalent equation

3. Forming number statements

Quantity value is a very commonly tested concept. Money is a measure that has both quantity and value. For example, ten 5-cent coins have a quantity of 10 but a value of 50 cents.

Concepts 3, trains students to form number statements involving 2 unknowns and solve them through association and comparison.

### Lesson 21 to 30

This week (Lesson 26), we will continue with “Measurement 4”

In this lesson, we will cover three concepts

- Equal elimination
- Shape Methods
- Working forward using Difference.

This week (Lesson 27), we will continue with “Measurement 5”

- This lesson will cover 4 working forward concepts that will involve quite a bit of model drawing.
- All change with equal units at first
- All change with equal units at the end
- Working forward to find the value of units
- Working backwards to find a group

This week (Lesson 28), we will continue with “Measurement 6”

In this lesson, we will cover 4 of the following concepts.

- Working backwards to find value in units
- Finding change
- Transferring of difference

Of these concepts, “Transferring of difference” is considered higher-order concepts.

This week (Lesson 29), we will begin with a new Topic, "Graphs."

The objectives of this lesson are

> Read and understand data from a table.

> How to systematically approach Graph questions to minimise confusion and careless mistakes.

This week (Lesson 30), we will begin with a new Topic, “Fractions.”

Fraction is a critical topic in Primary School Math. It is the foundation for learning decimals, ratios and percentages. As such, at Matrix Math, we place much emphasis on building a solid foundation in Fractions.

In this lesson, we will cover

1. Learning how to find the simplest form.

2. What are equivalent Fractions.

3. Showing Fractions in figures.

4. Finding total parts in Fractions.

5. Ordering of Fractions.

6. Operations of Fractions with unequal denominators.

### Lesson 31 to 40

This week (Lesson 31), we will continue with “Fractions 2”

In this lesson, we will focus on Fraction problem sums involving part and whole.

We will cover

1. Fractions as part of a whole.

2. Fractions as part of a whole with further cutting.

3. Fractions as part of a whole with changing the denominator

4. Fractions as part of another part.

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. Operations.

2. Problem sums involving Measurement.

3. Fractions problem sums. We will revise all the different fractions concepts covered in the past two weeks.

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

- Operation.
- Problem sums involving Money.
- Fractions problem sums.
- Interval concepts

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. Fractions

2. Measurement

This week (Lesson 35), we will continue with Fraction 3. In this lesson, we will be covering 4 heuristic fraction concepts.

1. Fractions involving remainder.

2. Fractions as values.

3. Fractions as units.

4. Proportion transfer.

Although problem sums involving Fractions as values or as units are simple, many children made careless mistakes because they did not read the questions carefully. For example, *John gave 1/4 kg of his cake to Peter is different from John giving 1/4 of his cake to Peter.*

This week (Lesson 36), we will begin a new Topic - Time. In primary 2, students are taught to read time and use a timeline to solve simple time-related problem sums. In this lesson, we will be covering the basics of operations involving time. This will include

1. Conversion of hours to minutes and vice versa.

2. Working forward with time.

3. Time involving interval concept.

This week (Lesson 37), we will move on to Time lesson 2. In this lesson, we will focus on problem sums. Commonly tested problem sums involving time will include:

1. Working backwards to find earlier/starting time.

2. Basic problem sums involving finding duration.

3. Finding duration involving comparison of quantity concept.

This week (Lesson 38), we will begin with a new topic - Geometry.

In this lesson, we will be covering:

1. Identifying perpendicular and parallel lines (with grid lines).

2. Construct perpendicular and parallel lines (with grid lines).

3. Types of angles

This week (Lesson 39), we will begin with a new topic - Area and Perimeter.

In this lesson, we will be covering the basics:

1. Understanding the difference between Area and Perimeter.

2. Finding Areas and Perimeters in squares and rectangles.

3. Finding Length and breadth in squares and rectangles.

4. Finding Areas and Perimeters in polyomino with grid lines.

This week (Lesson 40), we will continue with Area and Perimeter 2.

In this lesson, we will be covering:

- Finding Area and Perimeter using the “cut and paste” method.
- Finding Area and Perimeter using the “figure segmentation” method.
- Finding Area and Perimeter by comparing length and breadth.
- Finding Area and Perimeter by comparing units.

### Lesson 41 to 50

This week (Lesson 41), we will begin revising and preparing for the year-end exams. Typically, we prepare our students with "Select Papers". Select Papers is a compilation of carefully curated, commonly tested concepts across all schools. This lesson will cover a wide range of concepts and topics. Similarly, Lesson 41's Additional Practice paper is also designed to prepare the children for SA2.

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
- Area and perimeter
- Whole numbers
- Angles
- Money
- Time

This week (Lesson 43), we will continue preparing for SA2 with Select 13. 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 14. 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 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 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 4 syllabus.

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