# Unit Overview: Calculating with whole numbers and decimals

## Lessons:

15 lessons

### Representing Decimals

In this lesson, we will review place value and show our understanding using Dienes blocks and place value counters. We will represent decimals in a variety of ways including as the sum of place value parts.

• 1 Quiz
• 16m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Multiplying and dividing decimals by 10,100,1000

In this lesson, we will review decimal place value understanding and use Dienes blocks to explain multiplication and division by 10, 100 and 1000.

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

### Deriving decimal addition and subtraction facts

In this lesson, we will add and subtract decimals using our known facts to help us.

• 2 Quizzes
• 13m Video
• Presentation(PPT)
• Worksheet
• Transcript

In this lesson, we will use the formal written method to add decimal numbers and correct mistakes made with this method.

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

### Subtracting decimals

In this lesson, we will use the formal written method to subtract decimal numbers and correct mistakes made with this method.

• 2 Quizzes
• 13m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Applying mental calculation strategies to adding and subtracting decimals

In this lesson, we will use a range of informal mental strategies to add and subtract decimal numbers.

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

### Solving problems with decimals using addition and subtraction

In this lesson, we will solve addition and subtraction problems with decimals and generate our own word problems to suit equations. We will develop our understanding of decimal problem-solving through bar models and a variety of real life contexts.

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

### Deriving Decimal Multiplication Facts

In this lesson, we will derive multiplication facts involving decimal numbers, exploring a range of language structures and models. By the end of this lesson we will be able to use a known fact (e.g. 2 x 6 = 12) to derive a decimal calculation (e.g. 0.2 x 6 =1.2).

• 2 Quizzes
• 17m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Multiplying decimals by a whole number

In this lesson, we will examine multiplying decimals by a whole number using bar models and area models.

• 2 Quizzes
• 13m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Multiplying decimals using a formal written method (short multiplication)

In this lesson, we will use the formal written layout (short multiplication) to multiply a decimal number by a single digit.

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

### Multiplying decimals using mental strategies

In this lesson, we will use doubling and round and adjust strategies to multiply decimal numbers. We will use doubling to multiply by two, four and eight and round and adjust in the context of money (e.g. £2.99 x 3).

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

### Problem-solving with decimals in context

In this lesson, we will solve problems with decimals through bar models in a variety of real life contexts, converting units of measurement where appropriate.

• 2 Quizzes
• 13m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Representing 2-digit by 2-digit multiplication

In this lesson, we will develop our understanding of pictorial representations when multiplying by a two-digit number and link this to the formal written method of long multiplication.

• 2 Quizzes
• 16m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Multiplying a 3-digit number by a 2-digit number

In this lesson, we will develop our understanding of formal written multiplication methods (long multiplication) and develop fluency multiplying 2-digits by 3-digits.

• 2 Quizzes
• 13m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Problem-solving with multiplication

In this lesson, we will review the various methods of multiplication covered throughout this unit: area, formal written method and mentally derived facts. We will discuss which is the most efficient strategy for a variety of problems.

• 2 Quizzes
• 13m Video
• Presentation(PPT)
• Worksheet
• Transcript