# year 4-6 MAths

## What our Year 4-6 Maths students will develop

### A deeper level of understanding

All of our material is directly linked to topics from the NSW Board of studies. We start with explaining theory, then start with easier questions and move onto exam style questions

### A fun learning environment

Our lessons are fun, engaging and relaxed. We encourage group discussions, and students are encouraged to ask as many questions as possible!

## What you will recieve

#### Each student at PLATO receives three different books each week which are personalised to each individual!

### Weekly books

We design, print and hand out new books to all students each week. We do not bulk print our materials at the start of each term! Our materials evolve week-to-week, learning from the mistakes of all students and automatically refine to become the ultimate learning tools!

###
Class theory book

The theory books contain the class common questions and notes. There is also a weekly report at the front which is jam-packed with details about each student.

### Personalised homework book

These books contain homework questions which are unique to each student based on their weaknesses or special requests. To learn more about the homework system at PLATO, click here.

### Answer books

At PLATO, we get you ready from as early as Year 6 to organise your mathematical arguments. In English, we learn how to organise text with paragraphs and sentences, and maths is no different! We teach students how to logically present their work, with our proven answer book system!

## What ouR PARENTS recieve

### Weekly reports

Our parents and studnets receive a weekly email report letting them know how their progress has changed, and which topics they are struggling with at the moment

### DIRECT COMMUNICATION

You can contact us directly by SMS or phone call, and speak to your child's tutor directly. No emails, no help desk! Just straight to the point communication!

### Our proven lesson breakdown

### 10 weekly lessons in the school term

## 15 min

###### Weekly quiz

**Weekly quiz on content from the previous week.**

## 30 min

###### Homework help

**We go through any homework related issues, and ensure all students are comfortable.**

## 45 min

###### Lesson

**We teach new material, developing theory, and slowing move up in difficulty until we are answering exam-style questions.**

# Maths years 4-6 details

- Year 4
- Year 5
- Year 6

### Year 4 Details

- Term 1
- Term 2
- Term 3
- Term 4

## week 1

#### WHOLE NUMBERS

##### THE NUMBER LINE

- Recognise, represent and order numbers to at least tens of millions

## week 2

#### WHOLE NUMBERS

##### LCM and HCF

- Identify and describe factors and multiples of whole numbers and use them to solve problems

## week 3

#### Whole Numbers

##### Negative Integers

- Investigate everyday situations that use integers locate and represent these numbers on a number line

## week 4

#### Whole Numbers

##### Prime and Square Numbers

- Identify and describe properties of prime, composite, square and triangular numbers

## week 5

#### Addition and Subtraction

##### MENTAL STRATEGIES

- Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
- Use estimation and rounding to check the reasonableness of answers to calculations
- Create simple financial plans
- Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving addition and subtraction with whole numbers

## week 6

#### Multiplication and Division

##### MENTAL STRATEGIES

- Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental and written strategies and appropriate digital technologies
- Solve problems involving division by a one-digit number, including those that result in a remainder
- Use estimation and rounding to check the reasonableness of answers to calculations

## week 7

#### Multiplication and Division

##### Multiplication and Division

- Select and apply efficient mental and written strategies, and appropriate digital technologies, to solve problems involving multiplication and division with whole numbers

## week 8

#### Multiplication and Division

##### Grouping Symbols

- Explore the use of brackets and the order of operations to write number sentences

## week 9

#### Fractions and Decimals

##### Operations of Fractions

- Compare and order common unit fractions and locate and represent them on a number line
- Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
- Solve problems involving addition and subtraction of fractions, including those with unrelated denominators

## week 10

#### Fractions and Decimals

##### Operations of DECIMALS

- Recognise that the place value system can be extended beyond hundredths
- Compare, order and represent decimals
- Add and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answers
- Round decimals to a specified number of decimal places

*THE NUMBER LINE*

- Investigate everyday situations that use integers locate and represent these numbers on a number line
- Compare, order, add and subtract integers

*LCM AND HCF*

- Identify and describe properties of prime, composite, square and triangular numbers

*NEGATIVE INTEGERS*

- Investigate everyday situations that use integers locate and represent these numbers on a number line

*PRIME AND SQUARE NUMBERS*

- Identify and describe properties of prime, composite, square and triangular numbers

*MENTAL STRATEGIES*

- Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
- Use estimation and rounding to check the reasonableness of answers to calculations
- Create simple financial plans
- Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving addition and subtraction with whole numbers

*MENTAL STRATEGIES*

- Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental and written strategies and appropriate digital technologies
- Solve problems involving division by a one-digit number, including those that result in a remainder
- Use estimation and rounding to check the reasonableness of answers to calculations

*MULTIPLICATION AND DIVISION*

- Select and apply efficient mental and written strategies, and appropriate digital technologies, to solve problems involving multiplication and division with whole numbers

*GROUPING SYMBOLS*

- Explore the use of brackets and the order of operations to write number sentences

*OPERATIONS OF FRACTIONS*

- Compare and order common unit fractions and locate and represent them on a number line
- Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
- Solve problems involving addition and subtraction of fractions, including those with unrelated denominators

*OPERATIONS OF DECIMALS*

- Recognise that the place value system can be extended beyond hundredths
- Compare, order and represent decimals
- Add and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answers
- Round decimals to a specified number of decimal places

## week 1

#### Patterns and Algebra 1

##### Describe, Continue and Create Patterns

- Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction

## week 2

#### Patterns and Algebra 2

##### Continue and Create Sequences

- Continue and create sequences involving whole numbers, fractions and decimals describe the rule used to create the sequence

## week 3

#### Patterns and Algebra 2

##### Introduction to the Cartesian Plane

- Introduce the Cartesian coordinate system using all four quadrants

## week 4

#### Position

##### Grid-Reference and Direction

- Use a grid-reference system to describe locations
- Describe routes using landmarks and directional language

## week 5

#### Time 1

##### 24HR Time and Measuring Time

- Compare 12- and 24-hour time systems and convert between them
- Determine and compare the duration of events

## week 6

#### Time 2

##### Using and Interpreting Timetables and Timezones

- Compare 12- and 24-hour time systems and convert between them
- Interpret and use timetables
- Draw and interpret timelines using a given scale
- Solve problems involving international time zones

## week 7

#### Angles 1

##### Measuring Angles

- Estimate, measure and compare angles using degrees
- Construct angles using a protractor
- Use the language, notation and conventions of geometry

## week 8

#### Angles 2

##### Types of Angles and Vertically Opposite Angles

- Investigate, with and without the use of digital technologies, angles on a straight line, angles at a point, and vertically opposite angles use the results to find unknown angles
- Recognise the geometrical properties of angles at a point

## week 9

#### Length 1

##### Identifying shapes and calculating Perimeter

- Choose appropriate units of measurement for length
- Calculate the perimeters of rectangles using familiar metric units
- Find perimeters of parallelograms, trapeziums, rhombuses and kites

## week 10

#### Length 2

##### Metric System and Problem Solving

- Connect decimal representations to the metric system
- Convert between common metric units of length
- Solve problems involving the comparison of lengths using appropriate units

*DESCRIBE, CONTINUE AND CREATE PATTERNS*

- Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction

*CONTINUE AND CREATE SEQUENCES*

- Continue and create sequences involving whole numbers, fractions and decimals describe the rule used to create the sequence

*INTRODUCTION TO THE CARTESIAN PLANE*

- Introduce the Cartesian coordinate system using all four quadrants

*GRID-REFERENCE AND DIRECTION*

- Use a grid-reference system to describe locations
- Describe routes using landmarks and directional language

*24HR TIME AND MEASURING TIME*

- Compare 12- and 24-hour time systems and convert between them
- Determine and compare the duration of events

*USING AND INTERPRETING TIMETABLES AND TIMEZONES*

- Compare 12- and 24-hour time systems and convert between them
- Interpret and use timetables
- Draw and interpret timelines using a given scale
- Solve problems involving international time zones

*MEASURING ANGLES*

- Estimate, measure and compare angles using degrees
- Construct angles using a protractor
- Use the language, notation and conventions of geometry

*TYPES OF ANGLES AND VERTICALLY OPPOSITE ANGLES*

- Investigate, with and without the use of digital technologies, angles on a straight line, angles at a point, and vertically opposite angles use the results to find unknown angles
- Recognise the geometrical properties of angles at a point

*IDENTIFYING SHAPES AND CALCULATING PERIMETER*

- Choose appropriate units of measurement for length
- Calculate the perimeters of rectangles using familiar metric units
- Find perimeters of parallelograms, trapeziums, rhombuses and kites

*METRIC SYSTEM AND PROBLEM SOLVING*

- Connect decimal representations to the metric system
- Convert between common metric units of length
- Solve problems involving the comparison of lengths using appropriate units

## week 1

#### Two-Dimensional Space

##### Translation and Symmetry

- Classify two-dimensional shapes and describe their features
- Describe translations, reflections and rotations of two-dimensional shapes
- Identify line and rotational symmetries
- Apply the enlargement transformation to familiar two-dimensional shapes and explore the properties of the resulting image compared with the original

## week 2

#### Two-Dimensional Space

##### Diagonals and the Circle

- Investigate the diagonals of two-dimensional shapes
- Identify and name parts of circles
- Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies

## week 3

#### Area 1

##### Squares and Rectangles

- Choose appropriate units of measurement for area
- Calculate the areas of rectangles using familiar metric units

## week 4

#### Area 2

##### Triangles

- Solve problems involving the comparison of areas using appropriate units

## week 5

#### Three-Dimensional Space

##### Prisms and Pyramids

- Compare, describe and name prisms and pyramids

## week 6

#### Three-Dimensional Space

##### Nets of 3D Figures

- Connect three-dimensional objects with their nets and other two-dimensional representations

## week 7

#### Three-Dimensional Space

##### Construct 3D Figures

- Construct simple prisms and pyramids

## week 8

#### Volume and Capacity

##### Units of Measurement for Volume and Capacity

- Choose appropriate units of measurement for volume and capacity

## week 9

#### Volume and Capacity

##### Volumes of Prisms

- Connect volume and capacity and their units of measurement
- Connect decimal representations to the metric system
- Convert between common metric units of capacity
- Calculate the volumes of rectangular prisms

## week 10

#### Mass

##### Units of Measurement for Mass

- Choose appropriate units of measurement for mass

*TRANSLATION AND SYMMETRY*

- Classify two-dimensional shapes and describe their features
- Describe translations, reflections and rotations of two-dimensional shapes
- Identify line and rotational symmetries
- Apply the enlargement transformation to familiar two-dimensional shapes and explore the properties of the resulting image compared with the original

*DIAGONALS AND THE CIRCLE*

- Investigate the diagonals of two-dimensional shapes
- Identify and name parts of circles
- Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies

*SQUARES AND RECTANGLES*

- Choose appropriate units of measurement for area
- Calculate the areas of rectangles using familiar metric units

*TRIANGLES*

- Solve problems involving the comparison of areas using appropriate units

*PRISMS AND PYRAMIDS*

- Compare, describe and name prisms and pyramids

*NETS OF 3D FIGURES*

- Connect three-dimensional objects with their nets and other two-dimensional representations

*CONSTRUCT 3D FIGURES*

- Construct simple prisms and pyramids

*UNITS OF MEASUREMENT FOR VOLUME AND CAPACITY*

- Choose appropriate units of measurement for volume and capacity

*VOLUMES OF PRISMS*

- Connect volume and capacity and their units of measurement
- Connect decimal representations to the metric system
- Convert between common metric units of capacity
- Calculate the volumes of rectangular prisms

*UNITS OF MEASUREMENT FOR MASS*

- Choose appropriate units of measurement for mass

## week 1

#### Data 1

##### Display, Describe and Interpret Data

- Pose questions and collect categorical or numerical data by observation or survey
- Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies
- Describe and interpret different data sets in context

## week 2

#### Data 2

##### Interpret Data Displays

- Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables
- Interpret secondary data presented in digital media and elsewhere

## week 3

#### Chance 1

##### Probability

- List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
- Recognise that probabilities range from 0 to 1

## week 4

#### Chance 2

##### Probability

- Compare observed frequencies across experiments with expected frequencies
- Describe probabilities using fractions, decimals and percentages
- Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies

## week 5

#### Fractions and Decimals

##### Operations of Decimals

- Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without the use of digital technologies
- Multiply and divide decimals by powers of 10

## week 6

#### Fractions and Decimals

##### Operations of Fractions

- Compare fractions with related denominators and locate and represent them on a number line
- Solve problems involving addition and subtraction of fractions with the same or related denominators
- Find a simple fraction of a quantity where the result is a whole number, with and without the use of digital technologies

## week 7

#### Fractions and Decimals

##### Percentages

- Make connections between equivalent fractions, decimals and percentages
- Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without the use of digital technologies

## week 8

#### Fractions and Decimals

##### Percentages

- Find percentages of quantities and express one quantity as a percentage of another, with and without the use of digital technologies
- Solve problems involving the use of percentages, including percentage increases and decreases, with and without the use of digital technologie

## week 9

#### Computation

##### BODMAS

- Explore the use of brackets and the order of operations to write number sentences
- Apply the associative, commutative and distributive laws to aid mental and written computation

## week 10

#### REVISION

##### REVISION

- Revision

*DISPLAY, DESCRIBE AND INTERPRET DATA*

- Pose questions and collect categorical or numerical data by observation or survey
- Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies
- Describe and interpret different data sets in context

*INTERPRET DATA DISPLAYS*

- Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables
- Interpret secondary data presented in digital media and elsewhere

*PROBABILITY *

- List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
- Recognise that probabilities range from 0 to 1

*PROBABILITY *

- Compare observed frequencies across experiments with expected frequencies
- Describe probabilities using fractions, decimals and percentages
- Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies

*OPERATIONS OF DECIMALS*

- Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without the use of digital technologies
- Multiply and divide decimals by powers of 10

*OPERATIONS OF FRACTIONS*

- Compare fractions with related denominators and locate and represent them on a number line
- Solve problems involving addition and subtraction of fractions with the same or related denominators
- Find a simple fraction of a quantity where the result is a whole number, with and without the use of digital technologies

*PERCENTAGES*

- Make connections between equivalent fractions, decimals and percentages
- Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without the use of digital technologies

*PERCENTAGES*

- Find percentages of quantities and express one quantity as a percentage of another, with and without the use of digital technologies
- Solve problems involving the use of percentages, including percentage increases and decreases, with and without the use of digital technologie

*BODMAS*

- Explore the use of brackets and the order of operations to write number sentences
- Apply the associative, commutative and distributive laws to aid mental and written computation

*REVISION*

- Revision

### Year 5 Details

- Term 1
- Term 2
- Term 3
- Term 4

## week 1

#### WHOLE NUMBERS

##### THE NUMBER LINE

- Recognise, represent and order numbers to at least tens of millions

## week 2

#### WHOLE NUMBERS

##### LCM and HCF

- Identify and describe factors and multiples of whole numbers and use them to solve problems

## week 3

#### Whole Numbers

##### Negative Integers

- Investigate everyday situations that use integers locate and represent these numbers on a number line

## week 4

#### Whole Numbers

##### Prime and Square Numbers

- Identify and describe properties of prime, composite, square and triangular numbers

## week 5

#### Addition and Subtraction

##### MENTAL STRATEGIES

- Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
- Use estimation and rounding to check the reasonableness of answers to calculations
- Create simple financial plans
- Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving addition and subtraction with whole numbers

## week 6

#### Multiplication and Division

##### MENTAL STRATEGIES

- Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental and written strategies and appropriate digital technologies
- Solve problems involving division by a one-digit number, including those that result in a remainder
- Use estimation and rounding to check the reasonableness of answers to calculations

## week 7

#### Multiplication and Division

##### Multiplication and Division

- Select and apply efficient mental and written strategies, and appropriate digital technologies, to solve problems involving multiplication and division with whole numbers

## week 8

#### Multiplication and Division

##### Grouping Symbols

- Explore the use of brackets and the order of operations to write number sentences

## week 9

#### Fractions and Decimals

##### Operations of Fractions

- Compare and order common unit fractions and locate and represent them on a number line
- Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
- Solve problems involving addition and subtraction of fractions, including those with unrelated denominators

## week 10

#### Fractions and Decimals

##### Operations of DECIMALS

- Recognise that the place value system can be extended beyond hundredths
- Compare, order and represent decimals
- Add and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answers
- Round decimals to a specified number of decimal places

*THE NUMBER LINE*

- Compare, order, add and subtract integers

*LCM AND HCF*

- Identify and describe properties of prime, composite, square and triangular numbers

*NEGATIVE INTEGERS*

- Investigate everyday situations that use integers locate and represent these numbers on a number line

*PRIME AND SQUARE NUMBERS*

- Identify and describe properties of prime, composite, square and triangular numbers

*MENTAL STRATEGIES*

- Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
- Use estimation and rounding to check the reasonableness of answers to calculations
- Create simple financial plans
- Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving addition and subtraction with whole numbers

*MENTAL STRATEGIES*

- Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental and written strategies and appropriate digital technologies
- Solve problems involving division by a one-digit number, including those that result in a remainder
- Use estimation and rounding to check the reasonableness of answers to calculations

*MULTIPLICATION AND DIVISION*

- Select and apply efficient mental and written strategies, and appropriate digital technologies, to solve problems involving multiplication and division with whole numbers

*GROUPING SYMBOLS*

- Explore the use of brackets and the order of operations to write number sentences

*OPERATIONS OF FRACTIONS*

- Compare and order common unit fractions and locate and represent them on a number line
- Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
- Solve problems involving addition and subtraction of fractions, including those with unrelated denominators

*OPERATIONS OF DECIMALS*

- Recognise that the place value system can be extended beyond hundredths
- Compare, order and represent decimals
- Add and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answers
- Round decimals to a specified number of decimal places