These PowerPoint slides contain teaching materials for Primary 5. 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 5 Online Materials

### Who are the slides for?

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

### Holiday Programmes

### Lesson 1 to 10

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

In this lesson, we will cover the concepts

- Age
- Factors and multiples
- Shortage and Surplus

"These three concepts were taught in P4 but will undoubtedly be tested again in P5 WA and SA.

"Shortage and surplus" - Schools teach with either the listing method** or the model method. We will introduce the model method to solve "Shortage and surplus" questions. Whilst the model method is more difficult to grasp, it involves fewer steps, minimising the risk of careless computational mistakes.

**The listing method had been taught in Primary 4.

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

In this lesson, we will cover Difference concepts and Simultaneous concepts.

The "Difference concept "for P5 will be slightly more complicated than in P4.

"Simultaneous concept" is arithmetic math. It is solving 2 unknowns with 2 number statements. This is a useful skill to acquire early in the year as it can be applied to solve subsequent problem sums.

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

This lesson will cover Quantity **Internal** transfer and Quantity** External **Transfer. This lesson's important takeaway is knowing how to use models to visualise quantity transfer.

These two concepts are commonly tested heuristic questions in P5 and P6.

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 Fraction 1.

This lesson will focus on the multiplication and division of fractions.

The problem sum concepts we will cover this week will be

- Fractions as values. E.g. John gave 3/4 kg of his cake to Peter.
- Fractions as units. E.g. John gave 3/4 of his cake to Peter.

Mistakenly applying the concept of fractions as units or values is a common error among P5 students.

This week's lesson (Lesson 6) will be focused on Fraction 2. Specifically, we will introduce the concept of The Remainder Theory and how to apply it through model drawing. While these problems can also be solved using the Branching Methods, we have chosen to teach the Model Methods as they are more consistent with the methods typically used in schools and what your children learned in Primary 4.

Next week, in Lesson 8, we will focus on the topic of Fractions, specifically delving deeper into the concept of Remainder Theory. Next week's lesson involves solving problem sums where the remainder is unknown. We have observed that these types of questions are frequently tested in school exams. In order to master this concept, it is crucial that students become proficient in using model drawing techniques related to Remainder Theory.

To support their learning, we recommend that students practice by redoing the worksheets from Lessons 7 and 8.

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

- Difference concept
- Shortage and surplus
- Quantity external/internal transfer
- Fractions
- Remainder theory

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

> How to use differences to solve problem sums

> Grouping concept

> Problem sums involving intervals

> Area and perimeter

> Equivalent proportion

> Whole numbers

### Lesson 11 to 20

This week, students will be introduced to the topic of Triangles.

While some schools may cover this topic later in the year, based on previous experience, most schools will cover it in the first half of the academic year.

From our observation, most students can easily find the area of triangles, even for complex problems. However, they sometimes need help identifying the correct height and base. To help improve this, we will provide additional exposure and practice through triangle-related questions.

*All students must attend this lesson at the centre*.

We will continue our exploration of the Area of Triangles, focusing on four common ways these types of questions can be tested. These include

- Finding the area involving folding,
- Finding the area given the value of units, base or height,
- Finding the area given the value of units in the perimeter, and
- Finding the area of triangles inside a grid.

To do well in this topic, it is essential to have broad exposure to different forms of Area of Triangles questions. In subsequent lessons, we will expose the children to more questions to help them develop a deeper understanding of the concept.

This week (Lesson 14), we will be continuing with Ratio Lesson 2

In this lesson, we will focus on identifying Common Bases in Ratios. Identifying a common base is central to solving Ratio questions.

This week (Lesson 15), we will be introducing Ratio Lesson 3

The students will be learning to solve Fraction problem sums using Ratio methods.

Using Ratio methods to solve fractions problem sums will minimise the need to draw complex models. It is beneficial for children who dislike drawing models.

This week (Lesson 16), we will continue with Ratio lesson 4

In this lesson, we will cover three basic ratio heuristic concepts. These three concepts will form the basic building blocks of more complex ratio problem sums.

They are:

1. Group unchanged.

2. Total unchanged.

3. Difference unchanged.

### Lesson 21 to 30

### Lesson 31 to 40

### Lesson 41 to 50

This lesson (Lesson 49), will be the final lesson for 2022 academic year. Next week we will begin with Primary 6 syllabus.

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