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## MathsPOWER - 7-8 Lesson List

Please Note: We have incorporated lessons from each state and territory's syllabus plus included further extension lessons so that Maths POWER caters for all Australian states & territories and covers the syllabus nationally and internationally.

Lesson Name

### SECTION ONE

Lesson for Parents

Number, Whole Numbers

Number Revision

Common Errors

Place Value

Roman Numerals

The Egyptian Number System

Grouping Symbols

Order of Operations

Number, Division

Long Division (Part 1)

Long Division (Part 2)

Number, Whole Numbers

Speed and Accuracy Skills Drills Activated

Introduction to Directed Numbers

Power of Numbers

Working Mathematically

Trial and Error

Problem Solving: Drawing a Diagram

Problem Solving: Using a Table

Problem Solving: Working Backwards

Number, Whole Numbers Multiplication

Identifying Special Sets of Numbers

Factors and Multiples

Patterns and Algebra

Number, Multiplication

Exploring Index Notation

Distinguishing Prime & Composite Numbers

A Number as a Product of its Prime Factors

Highest Common Factors

Number, Division

Testing for Divisibility

Number, Multiplication

Squaring Numbers & Square Root

Cubing Numbers & Cube Root

Patterns and Algebra

Algebraic Technique

Number Patterns

Describing Number Patterns

Pronumerals/Algebraic Expressions (Part 1)

Pronumerals/Algebraic Expressions (Part 2)

Space & Geometry

Angles

Geometric Figures

Types of Angles

Exploring and Measuring Angles

Polygons

Diagonals in Polygons

Angle Properties of Polygons

Supplementary and Complementary Angles

Labelling Angles

Angles and Parallel Lines

Identifying Parallel Lines

Fractions

Equivalent Fractions and Basic Simplifying

Fractions / Decimals

Decimals: Place Value, Simplifying & Parts

Decimals: Wholes and Parts

Tenths and Hundredths - Place Value

Fractions

Decimal Thousandths

Modelling Thirds, Sixths & Twelfths

Subtracting a Unit Fraction from a Whole

Finding Equivalent Fractions

Fractions / Decimals

Mixed Numerals as Improper Fractions

Adding & Subtracting Simple Fractions

Finding the Lowest Common Denominator

Comparing and Ordering Fractions

Fractions

Percentages

Decimals

Basic Percentages

Fractions as Decimals & Percentages

Subtracting Decimals

Multiplying Decimals by Whole Numbers

Dividing Decimals by Whole Numbers

Multiplying Decimals by Decimals

Decimals: Divide/Multiply by 10, 100 & 1000

Multiplying Simple Fractions

Rounding Off Decimals

Space and Geometry

2D Space

3D Space

Geometric Figures

Properties of Triangles

Symmetry

Rotational Symmetry

Prisms, Spheres and Pyramids

Distinguishing between Prisms & Pyramids

Describing Solids (Geometric Properties)

Drawing 3D Shapes on Isometric Grids

Constructing Scale Models

Nets of Prisms

Investigating Platonic Solids

Numbers, Whole Numbers

Directed Numbers

The Number Plane

Direction and Magnitude of Integers

Adding and Subtracting Directed Integers

Multiplying and Dividing Directed Integers

Order of Operations and Directed Integers

The Number Plane (Part 1)

The Number Plane (Part 2)

Measurement

Length

Kilometres, Metres, Decimal Form, Perimeter

The Millimetre, Decimal cm and Perimeter

Relationships Between km, m, cm and mm

Time

Speed, Distance and Time

Australian Time Zones

Interpreting & Using Timetables

World Time Zones

Patterns/Algebra

Algebraic Technique

Substituting into Algebraic Expressions

Like Terms in Addition and Subtraction

Multiplying Algebraic Expressions

Equivalent Expressions

Grouping Symbols in Algebra

Expanding/Simplifying Algebraic Expressions

Indices–Index Laws Part 1

Indices–Index Laws Part 2

Graphing Values from Tables

Graphing Involving Directed Numbers

Simplifying Expressions with Directed Numbers

Solving Algebraic Equations

Solving Problems Using Algebra

Exam

### SECTION ONE EXAMINATION

SECTION TWO

Fractions

Percentages

Addition and Subtraction of Mixed Numerals

Multiplication of Fractions

Division of Fractions

Finding a Percentage

Percentage of a Percentage

Chance

Probability

Chance Words & Decimal Notation

Assigning Probability to Events

Area

Area of a Square, Rectangle & Parallelogram

The Hectare and Square Kilometre

Area of a Triangle

Area of Shapes Made up of Different Regions

Volume & Capacity

Capacity: The Litre & the Millilitre

Converting Millilitres to Decimal Litres

The Cubic Centimetre and the Cubic Metre

Volume of a Rectangular or Square Prism

Measuring Volume in Cubic Metres (Part 1)

Measuring Volume in Cubic Metres (Part 2)

Area & Volume

Calculating the Volume of Prisms

Converting g to Decimal kg & Tonnes

Geometry

2D Space

Geometric Figures

Constructing Perpendicular Lines

Drawing Circles

Area & Parts of the Circle

Constructing Triangles

Working Mathematically

Venn Diagrams

Measurement

Pythagoras

Investigating Right-Angled Triangles

Introduction to Pythagoras' Theorem

Pythagoras' Theorem

Implementing Pythagoras' Theorem

Percentages

Applications of Percentages

Percentage Composition

Percentage Change

More Applications of Percentages

Commission and Simple Interest

Patterns and Algebra

Algebraic Fractions

Addition and Subtraction of Like Terms

Multiplication of ProNumerals

Division of ProNumerals

Multiplication and Division of ProNumerals

Using Algebra

Factorising and HCF

Addition & Subtraction of Algebraic Fractions

Multiplication & Division of Algebraic Fractions

Expanding Binomial Products

Probability

Probability and Complementary Events

Using Probability in Everyday Life

Space and Geometry

Angles

Reasoning in Geometry

Angles at a Point and Vertically Opposite Angles

Angle Sum of a Triangle

Angle Sum of a Quadrilateral

Isosceles and Equilateral Triangles

Problems Involving Angles

Data

Data Representation

Graphs and Tables

Column Graphs

Divided Bar Graphs

Sector Graphs

Line Graphs

Conversion Graphs

Frequency Distribution Tables

Frequency Histograms and Polygons

Travel Graphs

The Step Graph

Unusual Graphs

Inappropriate Use of Graphs

Area and Volume

Area Dissection (Part 1)

Area Dissection (Part 2)

Area of a Kite, Rhombus and Trapezium

Calculating the Volume of Prisms

Surface Area of Prisms

Patterns and Algebra

Equations, Formulae and Inequations

Working Mathematically

Inverse Operations

Solving Equations

Equations with Pronumerals on both sides

Equations with Grouping Symbols

Formulae

Solving Problems Using Equations

Graphing Inequations

Solving Inequations

Number

Multiplication

Ratio, Rates and Scale Drawing

Ratio

Equivalent Ratios

Using Ratio to Solve Problems

Dividing a Quantity in a Given Ratio

Rates

Scale Drawing

Position

The Number Plane

Coordinates and the Number Plane

Straight line graphs

Graphing straight lines

Lines Parallel to the Axes

Further Graphing; Point of Intersection

Parabola

Space and Geometry

2D Space

Geometric Constructions and Congruent Figures

Bisecting Angles

Geometrical Constructions

Constructing Regular Polygons in a Circle

Congruence and Transformations

Congruent Figures and Tessellations

Congruent Figures

Constructing congruent figures

Data

Statistics

Collecting and Sorting Data

Analysing Data

Mean, Mode and Median

Stem-and-leaf plots & Dot Plots

Measurement

Geometric Figures

Circles

Area & Parts of the Circle

Circumference

Solving Problems Involving Circumference

Volume and Capacity

Volume of a cylinder

Space and Geometry

Similar Figures

Scale Drawings

Similar Figures

Mathematics Terms

Exam

##### SECTION TWO EXAMINATION

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