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.
Unit Overview: Calculating with whole numbers and decimals
Lessons:
15 lessons
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.
Deriving decimal addition and subtraction facts
In this lesson, we will add and subtract decimals using our known facts to help us.
Adding decimals
In this lesson, we will use the formal written method to add decimal numbers and correct mistakes made with this method.
Subtracting decimals
In this lesson, we will use the formal written method to subtract decimal numbers and correct mistakes made with this method.
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.
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.
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).
Multiplying decimals by a whole number
In this lesson, we will examine multiplying decimals by a whole number using bar models and area models.
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.
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).
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.
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.
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.
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.
Units in Maths
- Number sense and exploring calculation strategies
- Place value
- Graphs
- Addition and subtraction
- Length and perimeter
- Multiplication and division
- Deriving multiplication and division facts
- Time
- Fractions
- Angles and shape
- Measures
- Securing multiplication and division
- Exploring calculation strategies and place value
- Fractions: parts and wholes
- Reasoning with 4-digit numbers
- Addition and subtraction
- Multiplication and division
- Interpreting and presenting data
- Securing multiplication facts
- Fractions
- Time
- Decimals
- Area and perimeter
- Solving measure and money problems
- 2-D Shape and Symmetry
- Position and Direction
- Reasoning with patterns and sequences
- 3D Shape
- Working with fractions
- Taking fractions further
- Reasoning with large whole numbers
- Problem solving with integer addition and subtraction
- Line graphs and timetables
- Multiplication and division
- 2-D shape, perimeter and area
- Fractions and decimals
- Angles
- Fractions, decimals and percentages
- Transformations
- Converting units of measure
- Calculating with whole numbers and decimals
- 2-D and 3-D shape
- Volume
- Problem solving with whole numbers and decimals
- Equivalent fractions
- Integers & Decimals
- Multiplication and division
- Calculation problems
- Fractions
- Missing angles and lengths
- Coordinates and shape
- Fractions
- Decimals and measures
- Percentages and statistics
- Proportion problems
- Extending calculation strategies and additive reasoning
- Doubling and halving
- Addition and subtraction within 10
- Exploring calculation strategies within 20
- Money
- Measures
- 2-D shape, perimeter and area
- Numbers to 50
- Manipulating and calculating with fractions
- Fractions
- Fractions and decimals
- Conceptualising and comparing fractions
- Numbers 50 to 100 and beyond
- Reasoning with large whole numbers
- Converting units of measure
- Numbers to 10
- Solving measure and money problems
- Addition and subtraction within 20
- Addition and subtraction (applying strategies)
- Numbers within 1000
- Place value
- Problem solving with integer addition and subtraction
- Volume
- Positive and negative numbers
- Numbers within 10
- Numbers within 15
- Addition and subtraction within 20
- Measures (1): Length and mass
- Measures (2): Capacity and volume
- Addition and subtraction of 2-digit numbers
- Fractions
- Multiplication and division
- Multiplication and division
- Axioms and arrays
- Prime factor decomposition
- Indices and standard form
- Time
- Addition and subtraction of 2-digit numbers (regrouping and adjusting)
- Area and perimeter
- Numbers and numerals
- Percentages
- Fractions
- Measures: Length
- Numbers beyond 20
- Time
- Securing multiplication facts
- Addition and subtraction within 10
- Measures: Mass
- Number sense and exploring calculation strategies
- Addition and subtraction
- Securing multiplication and division
- Position and Direction
- Pattern and Early Number
- Addition and subtraction word problems
- Fractions
- Decimals
- Multiplication and division: 3 and 4
- Multiplication and division: 2, 5 and 10
- Measures: Capacity and volume
- Addition and subtraction
- Extending calculation strategies and additive reasoning
- Deriving multiplication and division facts
- Calculating with whole numbers and decimals
- Integers & Decimals
- Multiplication and division
- Grouping and Sharing
- Surds and trigonometry
- Numbers within 6
- Numbers within 100
- Exploring calculation strategies
- Time
- Exploring calculation strategies and place value
- Multiplication and division
- Factors and multiples
- Graphs
- Graphs
- Reasoning with 4-digit numbers
- Reasoning with patterns and sequences
- Calculation problems
- Numbers within 20
- Money
- Multiplication and division
- Fractions, decimals and percentages
- Decimals and measures
- Early Mathematical Experiences
- Order of operations
- Depth of numbers within 20
- Numbers to 20
- Addition and subtraction within 20 (comparison)
- Addition and subtraction within 6
- Accuracy and estimation
- Money
- Length and perimeter
- Fractions
- Fractions
- Problem solving with whole numbers and decimals