MathsWorld 8

1.1 Reviewing integers on the number line
1.2 Adding and subtracting integers
1.3 Multiplying integers
1.4 Dividing integers
1.5 Order of operations
Review
2 Fractions and decimals
2.1 Comparing and ordering fractions and decimals
2.2 Terminating and recurring decimals
2.3 Fraction calculations
2.4 Review of decimal calculations
2.5 Squares of fractions and decimals
2.6 Square roots and irrational numbers
Review
3 Indices
3.1 Index notation and prime factors
3.2 Multiplying and dividing numbers in index form
3.3 Powers with brackets
3.4 Exploring sums of squares and cubes
Review
4 Algebra
4.1 Algebraic terms and expressions
4.2 Simplifying: adding and subtracting like terms
4.3 Simplifying: multiplying terms
4.4 Simplifying: dividing terms
4.5 Expanding brackets: the Distributive law
4.6 Factorising algebraic terms and expressions
4.7 Substitution of values for pronumerals
Review
5 Percentages and financial mathematics
5.1 Fractions, decimals and percentages
5.2 Expressing a part as a percentage as a whole
5.3 Finding a percentage of the whole
5.4 Finding the whole
5.5 Percentage increase and decrease
5.6 Mark-ups and discounts
5.7 Profit and loss
5.8 Goods and Services Tax (GST)
Review
6 Solving equations
6.1 Solving equations with arithmetic
6.2 Solving equations with algebra: doing the same to both sides
6.3 Solving equations with brackets
6.4 Solving equations with pronumerals on both sides
6.5 Further practice with mixed equation types
6.6 Solving worded problems
Review
7 Congruency and quadrilateral properties
7.1 Reviewing angles and parrallel lines
7.2 Reviewing triangles
7.3 Congruency and isometric transofrmations
7.4 Triangle construction and congruency
7.5 Quadrilaterals and their properties
7.6 Using congruent triangles to explain quadrilateral properties
Review
8 Ratios, rates and time
8.1 Ratios
8.2 Dividing quantities in given ratios
8.3 Proportion
8.4 Rates
8.5 Average speed
8.6 Calculating with time
Review
9 Statistics
9.1 Reviewing types of data
9.2 Frequency tables and grouped data
9.3 Summarising data: measures of centre and spread
9.4 Displaying data
9.5 Histograms and frequency polygons
9.6 Collecting and reporting population data
Review
10 Perimeter, area and volume
10.1 Reviewing length and perimeter
10.2 Circumference of a circle
10.3 Area; rectangles. triangles and parallelograms
10.4 Area: rhombuses, kites and trapezia
10.5 Area: circles
10.6 Finding a region: sutracting areas
10.7 Composite shapes: adding area
10.8 Volume: rectangular and triangular prisms
10.9 Volume of cylinders
Review
11 Linear graphs
11.1 The Cartesian plane
11.2 Linear number patterns
11.3 Finding linear rules
11.4 Families of linear relationships
11.5 Applications of linear graphs
Review
12 Probability
12.1 Review of probability
12.2 Estimating probabilities
12.3 Venn diagrams and probability
12.4 Two-way tables
Review
13 Extending and investigating
13.1 Odds and evens
13.2 Tower of hanoi
13.3 Celcius and Fahrenheit temperatures
13.4 Constructing drg resistant quadrilaterals
13.5 Polygons
13.6 Polygon diagonals
13.7 Why is sugar called a carbohydrate?
13.8 The five regular polyhedra
13.9 Polyhedra and Euler's rule
13.10 Playing soccer with a truncated icosahedron
13.11 Topology
13.12 Map colouring
13.13 Networks
13.14 How long is a chain?
13.15 Floral clock
13.16 Snowflake fractal
13.17 Winning at the fair
13.18 Scrabble
13.19 Probability charts
Answers