Recalling the 3 times table
In this lesson, we will introduce the 3 times table and look at the key vocabulary 'products' and 'multiples'. We will use visual representations to aid our understanding including number lines, and real life objects.
Unit Overview: Multiplication and division
Lessons:
15 lessons
Recalling the 4 times table
In this lesson, we will introduce the 4 times table through skip-counting, and represent multiples of 4 in a number of visual ways. We will compare the terms multiple and product.
Using arrays to represent the 3 and 4 times tables
In this lesson, we will create and use arrays to visually aid multiplication, and accurately answer questions. We will study the difference between visualising columns and rows, and the effect on how the calcuation is written.
Understanding multiplication can be completed in any order
In this lesson, we will introduce the term 'communtativity', and study the properties and laws of multiplication. We will use arrays to prove that multiplication is commutative.
Using bar models to represent known times tables
In this lesson, we will compare arrays and bar models, and use them as ways of visualising multiplication questions. We will use bar models to help us solve multiplication problems.
Understanding that multiplication and division are inverse operations
In this lesson, we will explore the concept of inverse operations with regards to multiplication and division. As a result, we will use our times tables knowledge to help us answer division questions.
Using the inverse operation to find missing numbers
In this lesson, we will use our knowledge of multiplication and division 'fact families' in order to find the missing number in a range of questions. We will use arrays to represent the relationship between inverse operations, and explore how fact families around multiplication and division help us discover new facts about multiplication and division.
Recalling multiplication and division facts
In this lesson, we will consolidate our knowledge of multiplication and divison and apply our new strategies to further problems including incomplete multiplication tables and 'spot the error' activities.
Using factors and products to solve division problems
In this lesson, we will be using and applying known facts around fact families, multiples and factors to solve problems. We will, for example, look at how factors of a number help us determine multiples of near numbers.
Consolidating multiplication and division knowledge (Part 1)
In this lesson, we will revisit arrays and bar models as ways of representing multiplication, as well as solving questions involving inverse operations and commutativity.
Solving correspondence problems
In this lesson lesson, we will investigate different factor pairs and look at the number of combinations possible within a set, summarised in data tables to find patterns.
Using doubles to multiply
In this lesson, we will look at the effect of doubling a number on the factors of that number, and investigate how the size of the number changes proportionally as we keep doubling.
Using ten times greater for known times tables
In this lesson, we will learn how to solve 'ten times bigger' questions. We will look at different visual representations of making things ten times bigger, including number lines, bar models and Deines blocks.
Using bar models to represent word problems
In this lesson, we will explore the use of, construction of, and selection of the most appropriate bar-models to help answer different types of multiplication and division questions.
Consolidating multiplication and division knowledge (Part 2)
In this lesson, we will revisit the use of factors and products to help solve multiplication and division problems, and revise the effects of multiplying a number by ten.
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