Exploring Number Sense
In this lesson, we will link and apply known facts using number sense, and explore different visual representations of numbers and their properties.
Unit Overview: Number sense and exploring calculation strategies
Lessons:
15 lessons
Deriving New Facts From Number Bonds (Part 1)
In this lesson, we will investigate and find new facts from number bonds. We will investigate the effect of adding and subtracting 1 to numbers in a calculation, and the effect of adjusting the place value of digits.
Number names
In this lesson, we will investigate the ways in which the names of numbers change as we make adjustments to the digits, and compare written numbers with their names.
Recognising the value of each digit in a 2 digit number
In this lesson, we will investigate the place value of each digit in two digit numbers. We will look at visual representations of the value of each digit.
Using comparative symbols to compare numbers
In this lesson, we will introduce the greater than, and less than symbols > and <, and use them to accurately compare different numbers.
Deriving New Facts From Number Bonds (Part 2)
In this lesson, we will look at the properties of addition and subtraction, including the law of commutativity. We will revisit place value and consider addition and subtraction as inverse operations.
Finding number bonds for numbers up to 20
In this lesson, we will be using number bonds and looking for patterns for numbers within 20. We will look at partitioning and part whole modelling.
Applying number bonds within ten to add and subtract
In this lesson, we will be adding and subtracting 2 digit numbers without regrouping by using our number bond knowledge and using visual representations of place value.
Applying number bonds within twenty to add and subtract
In this lesson, we will be adding and subtracting 2 digit numbers with regrouping by using our number bond knowledge. We will use number lines to visualise the process.
Adding and subtracting using round and adjust
In this lesson, we we will add and subtract 2 digit numbers by using the round and adjust strategy whereby numbers are rounded to the nearest five or ten, then adjusted again at the end of the calculation.
Using round and adjust strategies to subtract and add near doubles
In this lesson, we will use round and adjust strategies to subtract and add near doubles. We will partition two digit numbers in order to make calculations easier.
Using an 'adding on' strategy to find the difference
In this lesson, we will use an 'adding on' strategy to find the difference between two numbers. We will use real life shopping examples and look at model solutions.
Using bar models to solve word problems (Part 1)
In this lesson, we will solve word problems using bar models as a visual tool to aid comparison between two values.
Using bar models to solve word problems (Part 2)
In this lesson, we will solve word problems using bar models as a visual tool to aid addition and money problems involving change.
Application Lesson
In this lesson, we will apply all that we have learnt in this unit and practise answering different styles of questions involving addition and subtraction with modeled solutions.
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