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​

week 2

WHOLE NUMBERS

LCM and HCF

week 3

Whole Numbers

Negative Integers

week 4

Whole Numbers

Prime and Square Numbers

week 5

Addition and Subtraction

MENTAL STRATEGIES​

week 6

Multiplication and Division

MENTAL STRATEGIES​

week 7

Multiplication and Division

Multiplication and Division

week 8

Multiplication and Division

Grouping Symbols

week 9

Fractions and Decimals

Operations of Fractions

week 10

Fractions and Decimals

Operations of DECIMALS

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

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

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

  • Identify and describe properties of prime, composite, square and triangular numbers​

  • 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​

  • 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​

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

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

  • 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​

  • 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

week 2

Patterns and Algebra 2

Continue and Create Sequences

week 3

Patterns and Algebra 2

Introduction to the Cartesian Plane

week 4

Position

Grid-Reference and Direction

week 5

Time 1

24HR Time and Measuring Time

week 6

Time 2

Using and Interpreting Timetables and Timezones

week 7

Angles 1

Measuring Angles

week 8

Angles 2

Types of Angles and Vertically Opposite Angles

week 9

Length 1

Identifying shapes and calculating Perimeter

week 10

Length 2

Metric System and Problem Solving

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

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

  • Introduce the Cartesian coordinate system using all four quadrants

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

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

  • 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

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

  • 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

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

  • 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

week 2

Two-Dimensional Space

Diagonals and the Circle

week 3

Area 1

Squares and Rectangles

week 4

Area 2

Triangles

week 5

Three-Dimensional Space

Prisms and Pyramids

week 6

Three-Dimensional Space

Nets of 3D Figures

week 7

Three-Dimensional Space

Construct 3D Figures

week 8

Volume and Capacity

Units of Measurement for Volume and Capacity

week 9

Volume and Capacity

Volumes of Prisms

week 10

Mass

Units of Measurement for Mass

  • 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​

  • 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​

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

  • Solve problems involving the comparison of areas using appropriate units​

  • Compare, describe and name prisms and pyramids​

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

  • Construct simple prisms and pyramids​

  • Choose appropriate units of measurement for volume and capacity​

  • 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​

  • Choose appropriate units of measurement for mass​

week 1

Data 1

Display, Describe and Interpret Data

week 2

Data 2

Interpret Data Displays

week 3

Chance 1

Probability

week 4

Chance 2

Probability

week 5

Fractions and Decimals

Operations of Decimals

week 6

Fractions and Decimals

Operations of Fractions

week 7

Fractions and Decimals

Percentages

week 8

Fractions and Decimals

Percentages

week 9

Computation

BODMAS

week 10

REVISION

REVISION

  • 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 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​

  • 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​

  • 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​

  • 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​

  • 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​

  • 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​

  • 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​

  • 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

Year 5 Details

  • Term 1
  • Term 2
  • Term 3
  • Term 4

week 1

WHOLE NUMBERS

THE NUMBER LINE​

week 2

WHOLE NUMBERS

LCM and HCF

week 3

Whole Numbers

Negative Integers

week 4

Whole Numbers

Prime and Square Numbers

week 5

Addition and Subtraction

MENTAL STRATEGIES​

week 6

Multiplication and Division

MENTAL STRATEGIES​

week 7

Multiplication and Division

Multiplication and Division

week 8

Multiplication and Division

Grouping Symbols

week 9

Fractions and Decimals

Operations of Fractions

week 10

Fractions and Decimals

Operations of DECIMALS

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

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

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

  • Identify and describe properties of prime, composite, square and triangular numbers​

  • 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​

  • 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​

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

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

  • 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​

  • 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​