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# Unit Overview: Deriving multiplication and division facts

## Lessons:

15 lessons

### Looking at multiplication strategies and the effect on the product

In this lesson, we will explore whether the product changes if different multiplication strategies are used. We will evaluate which calculation approaches are and are not correct for given problems.

• 1 Quiz
• 20m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Multiplying numbers by 10 and 100

In this lesson, we will learn to multiply numbers by 10 and 100. We will investigate the patterns that occur when multiplying numbers by 10 and 100, and describe these patterns using place value and place holders.

• 2 Quizzes
• 14m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Linking place value and multiplication

In this lesson, we will study the importance of place value and place holders when multiplying by 10 and 100. We will practise multiplying by 10 and 100 by drawing place value tables.

• 2 Quizzes
• 14m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Dividing by 10 using place value

In this lesson, we will learn how to divide by 10 using wer understanding of place value. We will investigate the patterns that occur when dividing numbers by 10, and describe these patterns using place value.

• 2 Quizzes
• 18m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Multiplying and dividing by 100

In this lesson, we will learn how to multiply and divide whole numbers by 100. We will look at the properties of numbers that are a multiple of 100, and study examples and non-examples. We will discuss multiplying and dividing by 100 in terms of place value and place holders.

• 2 Quizzes
• 20m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Exploring division strategies

In this lesson, we will explore division strategies in depth, including dividing using arrays, and dividing using place value tables and counters.

• 2 Quizzes
• 19m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Deriving new facts from multiplication facts

In this lesson, we will use the commutative property of multiplication, and our knowledge of inverse operations to help us derive new facts about general multiplication by, for example, rearranging equations in different ways.

• 2 Quizzes
• 22m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Using arrays to multiply a 2 digit number by a 1 digit number

In this lesson, we will learn to multiply 2 digit numbers by 1 digit numbers using arrays. We will construct suitable arrays to represent a number, and partition them to make a multiplication calculation clearer.

• 2 Quizzes
• 15m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Using Dienes to multiply a 2 digit number by a 1 digit number

In this lesson, we will learn to multiply 2 digit numbers by 1 digit numbers using Dienes blocks. We will use visual representations to make multiplication processes clearer, and we will investigate when to regroup quantities when using Dienes blocks.

• 2 Quizzes
• 20m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Exploring commutativity in multiplication

In this lesson, we will explore the commutative law in multiplication. We will investigate how partitioning a number in multiplication can help us compare two multiplication calculations and see if they have the same product.

• 2 Quizzes
• 20m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Exploring commutativity

In this lesson, we will investigate the commutative law in multiplication, and compare the property with how division behaves. We will explore the terms 'product' and 'dividend'.

• 2 Quizzes
• 21m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Dividing by a one digit number (no regrouping)

In this lesson, we will learn how to divide a two digit number by a one digit number without regrouping. We will look at the key vocabulary: divisor, dividend and quotient. Lastly, we will represent division problems using Dienes blocks.

• 2 Quizzes
• 14m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Solving multiplication and division problems using the bar model

In this lesson, we will learn how to use the bar model when solving multiplication and division problems. We will analyse word problems to select the most important part of the text and determine the maths required, then translate this into a suitable bar model to help us solve the problem.

• 1 Quiz
• 17m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Solving multiplication and division problems by drawing the bar model

In this lesson, we will learn how to draw a bar model to solve multiplication and division problems. We will match appropriate calculations to the correct bar model diagram to help learn how they are constructed and how to interpret them.

• 14m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Identifying known and unknown relationships

In this lesson, we will deconstruct word problems to understand what maths questions are being asked. We will use bar models to help us interpret questions and we will decide what calculations are required to solve them.

• 22m Video
• Presentation(PPT)
• Worksheet
• Transcript