NSW Year 7 Maths - Coursebook

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NSW Year 7 Coursebook Summary

Covering the whole NSW year 7 curriculum, this coursebook has the following features

• Worked Solutions - Every question has a fully worked solution. Just look in the back of the book. 
• Hyperlinks (ebook only) - No more trying to find the worked solution, click on the question number and it will take you to the worked solution in the back of the book. 
• Videos - Click on or scan the QR code in each sub-topic and you will be taken directly to You Tube where the best videos have been selected for learning
• Cut to the chase - understand the concepts that will accelerate you through the course.

NSW Year 7 Book Topics

This book contains 12 chapters and include the following topics:

1. Integers
2. Decimals
3. Fractions
4. Number Plane
5. Algebra and Equations
6. Angles
7. Percentages
8. Probability
9. Whole Numbers
10. Geometry
11. Ratios, Rates and Times
12. Analysing Data

Sub Topics

Integers

• Numbers Above and Below Zero
• Integers on a Number Line
• Ordering Integers
• Adding Integers
• Subtracting Integers
• Multiplying Integers
• Dividing Integers
• Order of Operations
• Integers Problems

Decimals

• Ordering decimals
• Decimals and fractions
• Adding and subtracting decimals
• Multiplying and dividing decimals by powers of 10
• Multiplying decimals by estimating
• Multiplying decimals
• Dividing decimals by whole numbers
• Dividing decimals
• Terminating and recurring decimals
• Rounding decimals
• Decimal problems

Fractions

• Fractions
• Ordering fractions
• Adding and Subtracting Fractions
• Adding Mixed Numerals
• Subtracting Mixed Numerals
• Fractions of a Quantity
• Multiplying Fractions
• Multiplying Mixed Numerals
• Dividing Fractions
• Dividing Mixed Numerals
• Fraction Problems

Number Plane

• The Number Plane
• The Number Plane with Negative Numbers
• Graphing Table of Values
• Transformations

Algebra and Equations

• The law of arithmetic
• The distributive law
• Variables
• From words to algebraic expressions
• Substitution
• Equations - Guess and check
• One step equations (add and subtract)
• One Step Equations (multiply and divide)
• Two-step equations
• 2 Step Equations (harder)
• Equation problems

Angles

• Naming Angles
• Measuring Angles
• Classifying Angles
• Complementary and Supplementary Angles
• Angles at a Point and Vertically Opposite Angles
• Parallel and Perpendicular Lines
• Corresponding Angles on Parallel Lines
• Alternate Angles on Parallel Lines
• Co-interior Angles on Parallel Lines
• Angles on Parallel Lines
• Proving Parallel Lines

Percentages

• Percentages and Fractions
• Percentages and Decimals
• Percentage of a Quantity (easy)
• Percentage of a Quantity (harder)
• Expressing Quantities as Fractions
• Expressing Quantities as Percentages

Probability

• Sample Spaces
• Probability
• Range of Probabilities
• Experimental Probability
• Complementary Events

Area and Volume

• The Metric System
• Perimeter
• Metric Units for Area
• Area of Rectangle
• Area of Triangle
• Area of Parallelogram
• Area of Composite Shapes
• Metric Units for Volume
• Volume of Rectangular Prism
• Volume of Composite Shapes
• Volume and Capacity

Whole Numbers

• Rounding and Estimating
• Multiplying Numbers
• Dividing numbers
• Divisibility tests
• Long Division
• Roman Numerals
• Powers and Index notation
• Square root and cube root
• Prime and Composite Numbers
• Prime Factors
• Greatest Common Divisor
• Lowest Common Multiple

Geometry

• Classifying Triangles
• Angle Sum of a Triangle
• Exterior Angle of a Triangle
• Classifying Quadrilaterals
• Angle Sum of a Quadrilateral
• Properties of Quadrilaterals

Ratios, Rates and Times

• Ratios
• Simplifying Ratios
• Ratio Word Problems
• Problems for Ratios (harder)
• Rates
• Rates (harder)
• Rate Problems
• Best Buys
• Time Calculations
• 24 Hour Time
• Time Difference
• Time Problems
• Travel Graphs
• Timetables

Analysing Data

• Interpreting Graphs
• Dot Plots
• Stem and Leaf Plots
• The Mean and Mode
• Median and Range
• Analysing Dot Plots and Stem and Leaf