Multiplication and Division
In this lesson, we will look at showing division and multiplication equations using pictorial representations. We will explore how multiplication is commutative and how multiplication is the inverse to division.
Unit Overview: Multiplication and division
Lessons:
20 lessons
Representing word problems using bar models
In this lesson, we will explore how to represent word problems using bar models. We will learn how to identify bar models that represent division or multiplication problems.
Representing 2-Step Word Problems
In this lesson, we will explore how to represent two-step word problems using bar models. We will learn how to identify bar models that represent division or multiplication equations.
Deriving Multiplication Facts
In this lesson, we will learn how to represent multiplication equations pictorially. Then, we will explore how we can derive new facts from known multiplication facts.
Deriving Division and Multiplication Facts
In this lesson, we will explore how division is the inverse to multiplication. Then, we will learn how to derive division facts from known facts using our times tables knowledge.
To calculate multiplication facts using the distributive law
In this lesson, we will solve multiplication equations using the distributive law. We will use arrays and area models to represent our calculations.
Solving 2-digit multiplication calculations using the distributive law
In this lesson, we will explore the distributive law in multiplication. We will solve 2-digit multiplication problems using the partitioning method and the compensating method.
Solving three 1 digit multiplication equations
In this lesson, we will multiply three 1-digit numbers by each other and explore the associative law.
Multiplying 3-digit numbers by 1-digit numbers
In this lesson, we will use short multiplication to multiply 3-digit numbers by 1-digit numbers. We will learn to regroup in the ones and tens column.
Multiplying 3-digit numbers by 1-digit numbers
In this lesson, we will use short multiplication to multiply 3-digit numbers by 1-digit numbers. We will learn to regroup in multiple columns and when zero is a place value holder.
Exploring multiplication strategies
In this lesson, we will explore a range of strategies to solve multiplication problems. We will use mental and written strategies to solve problems.
Consolidating multiplication strategies
In this lesson, we will consolidate different multiplication strategies and apply different methods in reasoning questions.
Dividing mentally
In this lesson, we will explore a range of mental division methods, including partitioning through the distributive law and using our known multiplication facts.
Dividing using knowledge of multiples
In this lesson, we will use our known multiplication facts to help us divide mentally.
Short division (Part 1)
In this lesson, we will explore how to use the short division algorithm with regrouping in one place value column.
Short division (Part 2)
In this lesson, we will explore how to use the short division algorithm with multiple regroups.
Short division (Part 3)
In this lesson, we will explore how to use the short division algorithm, regrouping through zero.
Problem solving: Choosing operations
In this lesson, we will explore a multi-step problem and decide which of the following operations will solve each step; addition, subtraction, multiplication or division.
Problem solving: Using all four operations
In this lesson, we will solve a multi-step problem using all four operations; addition, subtraction, multiplication and division.
Consolidating division strategies
In this lesson, we will consolidate division strategies by solving a variety of division reasoning questions.
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